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Fibonacci M403P420

Alpha

420 native Fibonacci residues on the period circle.

Clock position 420 is north. Remainder zero is displayed as 403.

Fibonacci recurrence modulo 403. The initial state (0, 1) first returns after 420 steps.

403 · 1 · 1 · 2 · 3 · 5 · 8 · 13 · 21 · 34 · 55 · 89 · 144 · 233 · 377 · 207 · 181 · 388 · 166 · 151 · 317 · 65 · 382 · 44 · 23 · 67 · 90 · 157 · 247 · 1 · 248 · 249 · 94 · 343 · 34 · 377 · 8 · 385 · 393 · 375 · 365 · 337 · 299 · 233 · 129 · 362 · 88 · 47 · 135 · 182 · 317 · 96 · 10 · 106 · 116 · 222 · 338 · 157 · 92 · 249 · 341 · 187 · 125 · 312 · 34 · 346 · 380 · 323 · 300 · 220 · 117 · 337 · 51 · 388 · 36 · 21 · 57 · 78 · 135 · 213 · 348 · 158 · 103 · 261 · 364 · 222 · 183 · 2 · 185 · 187 · 372 · 156 · 125 · 281 · 3 · 284 · 287 · 168 · 52 · 220 · 272 · 89 · 361 · 47 · 5 · 52 · 57 · 109 · 166 · 275 · 38 · 313 · 351 · 261 · 209 · 67 · 276 · 343 · 216 · 156 · 372 · 125 · 94 · 219 · 313 · 129 · 39 · 168 · 207 · 375 · 179 · 151 · 330 · 78 · 5 · 83 · 88 · 171 · 259 · 27 · 286 · 313 · 196 · 106 · 302 · 5 · 307 · 312 · 216 · 125 · 341 · 63 · 1 · 64 · 65 · 129 · 194 · 323 · 114 · 34 · 148 · 182 · 330 · 109 · 36 · 145 · 181 · 326 · 104 · 27 · 131 · 158 · 289 · 44 · 333 · 377 · 307 · 281 · 185 · 63 · 248 · 311 · 156 · 64 · 220 · 284 · 101 · 385 · 83 · 65 · 148 · 213 · 361 · 171 · 129 · 300 · 26 · 326 · 352 · 275 · 224 · 96 · 320 · 13 · 333 · 346 · 276 · 219 · 92 · 311 · 403 · 311 · 311 · 219 · 127 · 346 · 70 · 13 · 83 · 96 · 179 · 275 · 51 · 326 · 377 · 300 · 274 · 171 · 42 · 213 · 255 · 65 · 320 · 385 · 302 · 284 · 183 · 64 · 247 · 311 · 155 · 63 · 218 · 281 · 96 · 377 · 70 · 44 · 114 · 158 · 272 · 27 · 299 · 326 · 222 · 145 · 367 · 109 · 73 · 182 · 255 · 34 · 289 · 323 · 209 · 129 · 338 · 64 · 402 · 63 · 62 · 125 · 187 · 312 · 96 · 5 · 101 · 106 · 207 · 313 · 117 · 27 · 144 · 171 · 315 · 83 · 398 · 78 · 73 · 151 · 224 · 375 · 196 · 168 · 364 · 129 · 90 · 219 · 309 · 125 · 31 · 156 · 187 · 343 · 127 · 67 · 194 · 261 · 52 · 313 · 365 · 275 · 237 · 109 · 346 · 52 · 398 · 47 · 42 · 89 · 131 · 220 · 351 · 168 · 116 · 284 · 400 · 281 · 278 · 156 · 31 · 187 · 218 · 2 · 220 · 222 · 39 · 261 · 300 · 158 · 55 · 213 · 268 · 78 · 346 · 21 · 367 · 388 · 352 · 337 · 286 · 220 · 103 · 323 · 23 · 346 · 369 · 312 · 278 · 187 · 62 · 249 · 311 · 157 · 65 · 222 · 287 · 106 · 393 · 96 · 86 · 182 · 268 · 47 · 315 · 362 · 274 · 233 · 104 · 337 · 38 · 375 · 10 · 385 · 395 · 377 · 369 · 343 · 309 · 249 · 155 · 1 · 156 · 157 · 313 · 67 · 380 · 44 · 21 · 65 · 86 · 151 · 237 · 388 · 222 · 207 · 26 · 233 · 259 · 89 · 348 · 34 · 382 · 13 · 395 · 5 · 400 · 2 · 402 · 1

Beta

Interior interval sums on the native 403-position circle.

Original start: 4. No nonconstant doubling cycle in these interval sums.

Interior sums: 4, 26, 178, 610, 1784, 653, 1241, 0, 1234, 497, 499, 232, 587, 653, 1083, 220, 337, 388, 0, 0, 0, 0, 0, 0, 261, 364, 0, 374, 0, 406, 571, 1098, 901, 0, 276, 343, 0, 0, 219, 313, 0, 0, 0, 0, 330, 0, 176, 259, 1515, 0, 466, 130, 517, 364, 109, 756, 622, 1150, 559, 1350, 361, 0, 0, 1203, 333, 346, 0, 403, 622, 639, 454, 703, 274, 0, 0, 0, 1356, 777, 499, 491, 430, 625, 876, 855, 402, 0, 374, 0, 212, 313, 0, 0, 0, 0, 481, 448, 196, 364, 0, 0, 0, 156, 918, 1005, 952, 440, 0, 1359, 658, 0, 0, 0, 213, 268, 346, 2745, 0, 527, 533, 393, 0, 583, 1348, 1167, 343, 0, 156, 961, 302, 388, 0, 607, 1231, 1. Modulo 403: 4, 26, 178, 207, 172, 250, 32, 0, 25, 94, 96, 232, 184, 250, 277, 220, 337, 388, 0, 0, 0, 0, 0, 0, 261, 364, 0, 374, 0, 3, 168, 292, 95, 0, 276, 343, 0, 0, 219, 313, 0, 0, 0, 0, 330, 0, 176, 259, 306, 0, 63, 130, 114, 364, 109, 353, 219, 344, 156, 141, 361, 0, 0, 397, 333, 346, 0, 0, 219, 236, 51, 300, 274, 0, 0, 0, 147, 374, 96, 88, 27, 222, 70, 49, 402, 0, 374, 0, 212, 313, 0, 0, 0, 0, 78, 45, 196, 364, 0, 0, 0, 156, 112, 199, 146, 37, 0, 150, 255, 0, 0, 0, 213, 268, 346, 327, 0, 124, 130, 393, 0, 180, 139, 361, 343, 0, 156, 155, 302, 388, 0, 204, 22, 1. First interval: clock positions 420 to 4. Endpoints excluded; wraparound included. Original phase is preserved.

4 → 26 → 178 → 207 → 172 → 250 → 32 → 403 → 25 → 94 → 96 → 232 → 184 → 250 → 277 → 220 → 337 → 388 → 403 → 403 → 403 → 403 → 403 → 403 → 261 → 364 → 403 → 374 → 403 → 3 → 168 → 292 → 95 → 403 → 276 → 343 → 403 → 403 → 219 → 313 → 403 → 403 → 403 → 403 → 330 → 403 → 176 → 259 → 306 → 403 → 63 → 130 → 114 → 364 → 109 → 353 → 219 → 344 → 156 → 141 → 361 → 403 → 403 → 397 → 333 → 346 → 403 → 403 → 219 → 236 → 51 → 300 → 274 → 403 → 403 → 403 → 147 → 374 → 96 → 88 → 27 → 222 → 70 → 49 → 402 → 403 → 374 → 403 → 212 → 313 → 403 → 403 → 403 → 403 → 78 → 45 → 196 → 364 → 403 → 403 → 403 → 156 → 112 → 199 → 146 → 37 → 403 → 150 → 255 → 403 → 403 → 403 → 213 → 268 → 346 → 327 → 403 → 124 → 130 → 393 → 403 → 180 → 139 → 361 → 343 → 403 → 156 → 155 → 302 → 388 → 403 → 204 → 22 → 1

Gamma

Primary nodal geometry.

Clockwise node order, starting from north.

Clock positions: 420, 4, 8, 12, 15, 26, 31, 38, 39, 44, 48, 51, 55, 59, 63, 68, 70, 72, 74, 75, 76, 77, 78, 79, 80, 83, 85, 86, 90, 91, 94, 97, 106, 112, 113, 116, 118, 119, 120, 123, 125, 126, 127, 128, 129, 132, 133, 137, 139, 147, 148, 151, 155, 158, 162, 164, 169, 174, 179, 182, 191, 193, 194, 195, 201, 204, 206, 207, 210, 213, 219, 222, 225, 227, 228, 229, 230, 236, 241, 244, 248, 251, 254, 260, 265, 268, 269, 273, 274, 278, 280, 281, 282, 283, 284, 287, 291, 293, 295, 296, 297, 298, 301, 307, 312, 318, 322, 323, 329, 335, 336, 337, 338, 341, 343, 345, 356, 357, 361, 365, 368, 369, 374, 381, 386, 388, 389, 392, 398, 402, 404, 405, 410, 418. The primary selection uses native residues divisible by three, including zero. Regular triangles are drawn only when their vertices lie in this node set. Additional formations are available in Geometry summary.

403 · 3 · 21 · 144 · 207 · 90 · 249 · 393 · 375 · 129 · 135 · 96 · 222 · 249 · 312 · 300 · 117 · 51 · 36 · 21 · 57 · 78 · 135 · 213 · 348 · 261 · 222 · 183 · 372 · 156 · 3 · 168 · 57 · 351 · 261 · 276 · 216 · 156 · 372 · 219 · 129 · 39 · 168 · 207 · 375 · 330 · 78 · 171 · 27 · 312 · 216 · 63 · 129 · 114 · 330 · 36 · 27 · 333 · 63 · 156 · 213 · 171 · 129 · 300 · 96 · 333 · 276 · 219 · 403 · 219 · 96 · 51 · 300 · 171 · 42 · 213 · 255 · 183 · 63 · 96 · 114 · 27 · 222 · 255 · 129 · 402 · 63 · 312 · 96 · 207 · 117 · 27 · 144 · 171 · 315 · 78 · 375 · 168 · 129 · 90 · 219 · 309 · 156 · 261 · 237 · 42 · 351 · 168 · 156 · 222 · 39 · 261 · 300 · 213 · 78 · 21 · 369 · 312 · 249 · 222 · 393 · 96 · 315 · 375 · 369 · 309 · 249 · 156 · 21 · 237 · 222 · 207 · 348 · 402

Fibonacci M403P420

Native sequences and detected primary geometry in one frame.

Alpha uses 420 positions; Beta uses 403. Epsilon is null.

Only detected primary triangles and hexagons are drawn. Shared placement is a drawing convention and does not establish biological significance.

Alpha · Beta · Gamma

Modulus 403 · Pisano period 420 · Native modulus

This page presents the recorded explanations, sequence values and evidence status. Long coordinate tables and formation enumerations are preserved in the complete linked data. Sequence arrays longer than 240 values are abbreviated in this HTML view.

Complete record JSON · Complete record CSV · Interactive geometry

Record SHA-256: d63d27c75bbbba1b7369e9559463c69f8a11df2c4edf6fd0389288bbca97163b
Dataset: m1-m1001-v1

conventions
index origin
0
clock labels

420 · 1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 11 · 12 · 13 · 14 · 15 · 16 · 17 · 18 · 19 · 20 · 21 · 22 · 23 · 24 · 25 · 26 · 27 · 28 · 29 · 30 · 31 · 32 · 33 · 34 · 35 · 36 · 37 · 38 · 39 · 40 · 41 · 42 · 43 · 44 · 45 · 46 · 47 · 48 · 49 · 50 · 51 · 52 · 53 · 54 · 55 · 56 · 57 · 58 · 59 · 60 · 61 · 62 · 63 · 64 · 65 · 66 · 67 · 68 · 69 · 70 · 71 · 72 · 73 · 74 · 75 · 76 · 77 · 78 · 79 · 80 · 81 · 82 · 83 · 84 · 85 · 86 · 87 · 88 · 89 · 90 · 91 · 92 · 93 · 94 · 95 · 96 · 97 · 98 · 99 · 100 · 101 · 102 · 103 · 104 · 105 · 106 · 107 · 108 · 109 · 110 · 111 · 112 · 113 · 114 · 115 · 116 · 117 · 118 · 119 · 120 · 121 · 122 · 123 · 124 · 125 · 126 · 127 · 128 · 129 · 130 · 131 · 132 · 133 · 134 · 135 · 136 · 137 · 138 · 139 · 140 · 141 · 142 · 143 · 144 · 145 · 146 · 147 · 148 · 149 · 150 · 151 · 152 · 153 · 154 · 155 · 156 · 157 · 158 · 159 · 160 · 161 · 162 · 163 · 164 · 165 · 166 · 167 · 168 · 169 · 170 · 171 · 172 · 173 · 174 · 175 · 176 · 177 · 178 · 179 · 180 · 181 · 182 · 183 · 184 · 185 · 186 · 187 · 188 · 189 · 190 · 191 · 192 · 193 · 194 · 195 · 196 · 197 · 198 · 199 · 200 · 201 · 202 · 203 · 204 · 205 · 206 · 207 · 208 · 209 · 210 · 211 · 212 · 213 · 214 · 215 · 216 · 217 · 218 · 219 · 220 · 221 · 222 · 223 · 224 · 225 · 226 · 227 · 228 · 229 · 230 · 231 · 232 · 233 · 234 · 235 · 236 · 237 · 238 · 239 · Additional entries remain in the complete JSON record.

orientation
clockwise from north
zero display
403
alpha circle positions
420
beta circle positions
403
node rule
Native residues divisible by 3, including zero; preserves the approved M6/M9/M12 reference selection. Additional regular formations of all native values are catalogued separately.
m1 convention
Modulo 1 has period 1 and residue 0.
research
focus
OXTR gene expression
biological significance status
Not yet assessed
statistical significance status
Not yet assessed
quantum annealing status
Not yet performed
tiers
  1. name
    Creates cellular life
    range

    8 · 10

    wss score
    Not recorded
    evidence
    None recorded
  2. name
    Supports cellular life
    range

    5 · 7

    wss score
    Not recorded
    evidence
    None recorded
  3. name
    Creates elemental life
    range

    1 · 4

    wss score
    Not recorded
    evidence
    None recorded
background literature
register id
oxtr-phase1-literature
register version
2026-10-18.1
register file
research-register.json
relationship
background_context
scope
Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.
publication ids

E01 · E02 · E03 · E04 · E05 · E06 · E07 · E08 · E09 · E10 · E11 · E12 · E13 · E14

hero publication ids

E03 · E06 · E08 · E11

modulus relevance status
Not yet assessed
verification
python
Passed
wolfram
Passed
scope
Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.
wolfram scope
Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.
evidence
m1001-verification.json
geometry summary
rule version
native-pilot-v1
scope
Shapes in the primary Gamma node set (native residues divisible by 3, including zero). All regular polygons on the period circle are catalogued separately with their native values; their existence alone is a property of the plotting grid.
circle role
Pisano-period plotting framework
shapes
  1. name
    Equilateral triangle
    status
    Present
    count
    4
    orientation
    12.8571° / 47.1429° / 72.8571° / 107.143°
    rotation degrees
    Not recorded
    rotations degrees

    12.857142857142858 · 47.142857142857146 · 72.85714285714286 · 107.14285714285714

    alpha paths
    1. 15 · 155 · 295 · 15

    2. 55 · 195 · 335 · 55

    3. 85 · 225 · 365 · 85

    4. 125 · 265 · 405 · 125

  2. name
    Hexagon
    status
    Present
    count
    2
    orientation
    12.8571° / 47.1429°
    rotation degrees
    Not recorded
    rotations degrees

    12.857142857142858 · 47.142857142857146

    alpha paths
    1. 15 · 85 · 155 · 225 · 295 · 365 · 15

    2. 55 · 125 · 195 · 265 · 335 · 405 · 55

  3. name
    2D stellated octahedron
    status
    Present
    count
    2
    orientation
    12.8571° / 47.1429°
    rotation degrees
    Not recorded
    rotations degrees

    12.857142857142858 · 47.142857142857146

    alpha paths
    1. 15 · 155 · 295 · 15

    2. 85 · 225 · 365 · 85

    3. 55 · 195 · 335 · 55

    4. 125 · 265 · 405 · 125

  4. name
    Chevron
    status
    Absent
    count
    0
    orientation
    Not recorded
    rotation degrees
    Not recorded
    rotations degrees
    None recorded
    alpha paths
    None recorded
  5. name
    Unicursal hexagram
    status
    Absent
    count
    0
    orientation
    Not recorded
    rotation degrees
    Not recorded
    rotations degrees
    None recorded
    alpha paths
    None recorded
other orientations status
Present
epsilon rule
A regular six-node formation must support the reference unicursal route through only 3, 6 and 9, containing all three. Rotations and reflections of the route are tested; reversed or cyclically shifted traversals are deduplicated.
alpha
residues

0 · 1 · 1 · 2 · 3 · 5 · 8 · 13 · 21 · 34 · 55 · 89 · 144 · 233 · 377 · 207 · 181 · 388 · 166 · 151 · 317 · 65 · 382 · 44 · 23 · 67 · 90 · 157 · 247 · 1 · 248 · 249 · 94 · 343 · 34 · 377 · 8 · 385 · 393 · 375 · 365 · 337 · 299 · 233 · 129 · 362 · 88 · 47 · 135 · 182 · 317 · 96 · 10 · 106 · 116 · 222 · 338 · 157 · 92 · 249 · 341 · 187 · 125 · 312 · 34 · 346 · 380 · 323 · 300 · 220 · 117 · 337 · 51 · 388 · 36 · 21 · 57 · 78 · 135 · 213 · 348 · 158 · 103 · 261 · 364 · 222 · 183 · 2 · 185 · 187 · 372 · 156 · 125 · 281 · 3 · 284 · 287 · 168 · 52 · 220 · 272 · 89 · 361 · 47 · 5 · 52 · 57 · 109 · 166 · 275 · 38 · 313 · 351 · 261 · 209 · 67 · 276 · 343 · 216 · 156 · 372 · 125 · 94 · 219 · 313 · 129 · 39 · 168 · 207 · 375 · 179 · 151 · 330 · 78 · 5 · 83 · 88 · 171 · 259 · 27 · 286 · 313 · 196 · 106 · 302 · 5 · 307 · 312 · 216 · 125 · 341 · 63 · 1 · 64 · 65 · 129 · 194 · 323 · 114 · 34 · 148 · 182 · 330 · 109 · 36 · 145 · 181 · 326 · 104 · 27 · 131 · 158 · 289 · 44 · 333 · 377 · 307 · 281 · 185 · 63 · 248 · 311 · 156 · 64 · 220 · 284 · 101 · 385 · 83 · 65 · 148 · 213 · 361 · 171 · 129 · 300 · 26 · 326 · 352 · 275 · 224 · 96 · 320 · 13 · 333 · 346 · 276 · 219 · 92 · 311 · 0 · 311 · 311 · 219 · 127 · 346 · 70 · 13 · 83 · 96 · 179 · 275 · 51 · 326 · 377 · 300 · 274 · 171 · 42 · 213 · 255 · 65 · 320 · 385 · 302 · 284 · 183 · 64 · 247 · 311 · Additional entries remain in the complete JSON record.

display values

403 · 1 · 1 · 2 · 3 · 5 · 8 · 13 · 21 · 34 · 55 · 89 · 144 · 233 · 377 · 207 · 181 · 388 · 166 · 151 · 317 · 65 · 382 · 44 · 23 · 67 · 90 · 157 · 247 · 1 · 248 · 249 · 94 · 343 · 34 · 377 · 8 · 385 · 393 · 375 · 365 · 337 · 299 · 233 · 129 · 362 · 88 · 47 · 135 · 182 · 317 · 96 · 10 · 106 · 116 · 222 · 338 · 157 · 92 · 249 · 341 · 187 · 125 · 312 · 34 · 346 · 380 · 323 · 300 · 220 · 117 · 337 · 51 · 388 · 36 · 21 · 57 · 78 · 135 · 213 · 348 · 158 · 103 · 261 · 364 · 222 · 183 · 2 · 185 · 187 · 372 · 156 · 125 · 281 · 3 · 284 · 287 · 168 · 52 · 220 · 272 · 89 · 361 · 47 · 5 · 52 · 57 · 109 · 166 · 275 · 38 · 313 · 351 · 261 · 209 · 67 · 276 · 343 · 216 · 156 · 372 · 125 · 94 · 219 · 313 · 129 · 39 · 168 · 207 · 375 · 179 · 151 · 330 · 78 · 5 · 83 · 88 · 171 · 259 · 27 · 286 · 313 · 196 · 106 · 302 · 5 · 307 · 312 · 216 · 125 · 341 · 63 · 1 · 64 · 65 · 129 · 194 · 323 · 114 · 34 · 148 · 182 · 330 · 109 · 36 · 145 · 181 · 326 · 104 · 27 · 131 · 158 · 289 · 44 · 333 · 377 · 307 · 281 · 185 · 63 · 248 · 311 · 156 · 64 · 220 · 284 · 101 · 385 · 83 · 65 · 148 · 213 · 361 · 171 · 129 · 300 · 26 · 326 · 352 · 275 · 224 · 96 · 320 · 13 · 333 · 346 · 276 · 219 · 92 · 311 · 403 · 311 · 311 · 219 · 127 · 346 · 70 · 13 · 83 · 96 · 179 · 275 · 51 · 326 · 377 · 300 · 274 · 171 · 42 · 213 · 255 · 65 · 320 · 385 · 302 · 284 · 183 · 64 · 247 · 311 · Additional entries remain in the complete JSON record.

beta
interval sums

4 · 26 · 178 · 610 · 1784 · 653 · 1241 · 0 · 1234 · 497 · 499 · 232 · 587 · 653 · 1083 · 220 · 337 · 388 · 0 · 0 · 0 · 0 · 0 · 0 · 261 · 364 · 0 · 374 · 0 · 406 · 571 · 1098 · 901 · 0 · 276 · 343 · 0 · 0 · 219 · 313 · 0 · 0 · 0 · 0 · 330 · 0 · 176 · 259 · 1515 · 0 · 466 · 130 · 517 · 364 · 109 · 756 · 622 · 1150 · 559 · 1350 · 361 · 0 · 0 · 1203 · 333 · 346 · 0 · 403 · 622 · 639 · 454 · 703 · 274 · 0 · 0 · 0 · 1356 · 777 · 499 · 491 · 430 · 625 · 876 · 855 · 402 · 0 · 374 · 0 · 212 · 313 · 0 · 0 · 0 · 0 · 481 · 448 · 196 · 364 · 0 · 0 · 0 · 156 · 918 · 1005 · 952 · 440 · 0 · 1359 · 658 · 0 · 0 · 0 · 213 · 268 · 346 · 2745 · 0 · 527 · 533 · 393 · 0 · 583 · 1348 · 1167 · 343 · 0 · 156 · 961 · 302 · 388 · 0 · 607 · 1231 · 1

interval residues

4 · 26 · 178 · 207 · 172 · 250 · 32 · 0 · 25 · 94 · 96 · 232 · 184 · 250 · 277 · 220 · 337 · 388 · 0 · 0 · 0 · 0 · 0 · 0 · 261 · 364 · 0 · 374 · 0 · 3 · 168 · 292 · 95 · 0 · 276 · 343 · 0 · 0 · 219 · 313 · 0 · 0 · 0 · 0 · 330 · 0 · 176 · 259 · 306 · 0 · 63 · 130 · 114 · 364 · 109 · 353 · 219 · 344 · 156 · 141 · 361 · 0 · 0 · 397 · 333 · 346 · 0 · 0 · 219 · 236 · 51 · 300 · 274 · 0 · 0 · 0 · 147 · 374 · 96 · 88 · 27 · 222 · 70 · 49 · 402 · 0 · 374 · 0 · 212 · 313 · 0 · 0 · 0 · 0 · 78 · 45 · 196 · 364 · 0 · 0 · 0 · 156 · 112 · 199 · 146 · 37 · 0 · 150 · 255 · 0 · 0 · 0 · 213 · 268 · 346 · 327 · 0 · 124 · 130 · 393 · 0 · 180 · 139 · 361 · 343 · 0 · 156 · 155 · 302 · 388 · 0 · 204 · 22 · 1

display cycle

4 · 26 · 178 · 207 · 172 · 250 · 32 · 403 · 25 · 94 · 96 · 232 · 184 · 250 · 277 · 220 · 337 · 388 · 403 · 403 · 403 · 403 · 403 · 403 · 261 · 364 · 403 · 374 · 403 · 3 · 168 · 292 · 95 · 403 · 276 · 343 · 403 · 403 · 219 · 313 · 403 · 403 · 403 · 403 · 330 · 403 · 176 · 259 · 306 · 403 · 63 · 130 · 114 · 364 · 109 · 353 · 219 · 344 · 156 · 141 · 361 · 403 · 403 · 397 · 333 · 346 · 403 · 403 · 219 · 236 · 51 · 300 · 274 · 403 · 403 · 403 · 147 · 374 · 96 · 88 · 27 · 222 · 70 · 49 · 402 · 403 · 374 · 403 · 212 · 313 · 403 · 403 · 403 · 403 · 78 · 45 · 196 · 364 · 403 · 403 · 403 · 156 · 112 · 199 · 146 · 37 · 403 · 150 · 255 · 403 · 403 · 403 · 213 · 268 · 346 · 327 · 403 · 124 · 130 · 393 · 403 · 180 · 139 · 361 · 343 · 403 · 156 · 155 · 302 · 388 · 403 · 204 · 22 · 1

minimal cycle

4 · 26 · 178 · 207 · 172 · 250 · 32 · 0 · 25 · 94 · 96 · 232 · 184 · 250 · 277 · 220 · 337 · 388 · 0 · 0 · 0 · 0 · 0 · 0 · 261 · 364 · 0 · 374 · 0 · 3 · 168 · 292 · 95 · 0 · 276 · 343 · 0 · 0 · 219 · 313 · 0 · 0 · 0 · 0 · 330 · 0 · 176 · 259 · 306 · 0 · 63 · 130 · 114 · 364 · 109 · 353 · 219 · 344 · 156 · 141 · 361 · 0 · 0 · 397 · 333 · 346 · 0 · 0 · 219 · 236 · 51 · 300 · 274 · 0 · 0 · 0 · 147 · 374 · 96 · 88 · 27 · 222 · 70 · 49 · 402 · 0 · 374 · 0 · 212 · 313 · 0 · 0 · 0 · 0 · 78 · 45 · 196 · 364 · 0 · 0 · 0 · 156 · 112 · 199 · 146 · 37 · 0 · 150 · 255 · 0 · 0 · 0 · 213 · 268 · 346 · 327 · 0 · 124 · 130 · 393 · 0 · 180 · 139 · 361 · 343 · 0 · 156 · 155 · 302 · 388 · 0 · 204 · 22 · 1

native doubling
false
recognised doubling cycle
Not recorded
rotation to recognised
Not recorded
m9 doubling cycle present
false
start value
4
start interval clock positions

420 · 4

start interval values

1 · 1 · 2

circle positions
403
cycle length
134
endpoint rule
Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero.
gamma
alpha indices

0 · 4 · 8 · 12 · 15 · 26 · 31 · 38 · 39 · 44 · 48 · 51 · 55 · 59 · 63 · 68 · 70 · 72 · 74 · 75 · 76 · 77 · 78 · 79 · 80 · 83 · 85 · 86 · 90 · 91 · 94 · 97 · 106 · 112 · 113 · 116 · 118 · 119 · 120 · 123 · 125 · 126 · 127 · 128 · 129 · 132 · 133 · 137 · 139 · 147 · 148 · 151 · 155 · 158 · 162 · 164 · 169 · 174 · 179 · 182 · 191 · 193 · 194 · 195 · 201 · 204 · 206 · 207 · 210 · 213 · 219 · 222 · 225 · 227 · 228 · 229 · 230 · 236 · 241 · 244 · 248 · 251 · 254 · 260 · 265 · 268 · 269 · 273 · 274 · 278 · 280 · 281 · 282 · 283 · 284 · 287 · 291 · 293 · 295 · 296 · 297 · 298 · 301 · 307 · 312 · 318 · 322 · 323 · 329 · 335 · 336 · 337 · 338 · 341 · 343 · 345 · 356 · 357 · 361 · 365 · 368 · 369 · 374 · 381 · 386 · 388 · 389 · 392 · 398 · 402 · 404 · 405 · 410 · 418

clock positions

420 · 4 · 8 · 12 · 15 · 26 · 31 · 38 · 39 · 44 · 48 · 51 · 55 · 59 · 63 · 68 · 70 · 72 · 74 · 75 · 76 · 77 · 78 · 79 · 80 · 83 · 85 · 86 · 90 · 91 · 94 · 97 · 106 · 112 · 113 · 116 · 118 · 119 · 120 · 123 · 125 · 126 · 127 · 128 · 129 · 132 · 133 · 137 · 139 · 147 · 148 · 151 · 155 · 158 · 162 · 164 · 169 · 174 · 179 · 182 · 191 · 193 · 194 · 195 · 201 · 204 · 206 · 207 · 210 · 213 · 219 · 222 · 225 · 227 · 228 · 229 · 230 · 236 · 241 · 244 · 248 · 251 · 254 · 260 · 265 · 268 · 269 · 273 · 274 · 278 · 280 · 281 · 282 · 283 · 284 · 287 · 291 · 293 · 295 · 296 · 297 · 298 · 301 · 307 · 312 · 318 · 322 · 323 · 329 · 335 · 336 · 337 · 338 · 341 · 343 · 345 · 356 · 357 · 361 · 365 · 368 · 369 · 374 · 381 · 386 · 388 · 389 · 392 · 398 · 402 · 404 · 405 · 410 · 418

clockwise values

403 · 3 · 21 · 144 · 207 · 90 · 249 · 393 · 375 · 129 · 135 · 96 · 222 · 249 · 312 · 300 · 117 · 51 · 36 · 21 · 57 · 78 · 135 · 213 · 348 · 261 · 222 · 183 · 372 · 156 · 3 · 168 · 57 · 351 · 261 · 276 · 216 · 156 · 372 · 219 · 129 · 39 · 168 · 207 · 375 · 330 · 78 · 171 · 27 · 312 · 216 · 63 · 129 · 114 · 330 · 36 · 27 · 333 · 63 · 156 · 213 · 171 · 129 · 300 · 96 · 333 · 276 · 219 · 403 · 219 · 96 · 51 · 300 · 171 · 42 · 213 · 255 · 183 · 63 · 96 · 114 · 27 · 222 · 255 · 129 · 402 · 63 · 312 · 96 · 207 · 117 · 27 · 144 · 171 · 315 · 78 · 375 · 168 · 129 · 90 · 219 · 309 · 156 · 261 · 237 · 42 · 351 · 168 · 156 · 222 · 39 · 261 · 300 · 213 · 78 · 21 · 369 · 312 · 249 · 222 · 393 · 96 · 315 · 375 · 369 · 309 · 249 · 156 · 21 · 237 · 222 · 207 · 348 · 402

triangle paths
  1. 15 · 155 · 295 · 15

  2. 55 · 195 · 335 · 55

  3. 85 · 225 · 365 · 85

  4. 125 · 265 · 405 · 125

epsilon statusNull: no tested regular six-node reference traversal contains only 3, 6 and 9 with all three present.
epsilon assessment
rule version
native-epsilon-diagnostics-v1
native 369 present
false
candidate count
70
absence reason
No tested six-node formation contains only 3, 6 and 9 with all three present.
reference path available
false
reduction to m9
version
m9-reduction-v1
target modulus
9
status
Outside divisible-by-nine family
applicable
false
research question
Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.
biological significance
Not yet assessed
native data preserved
true
research register
schema version
1.0.0
id
oxtr-phase1-literature
version
2026-10-18.1
title
First Principles Genomics — research register
initial biological focus
OXTR
scope
Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.
relationship to atlas
background_context
modulus relevance status
Not yet assessed
hypothesis reference record id
fibonacci-m9-p24
hypothesis
The Alpha, Beta, Gamma and Epsilon sequences of M9P24 may offer useful descriptions of biological timing, cellular division and molecular organisation in the context of OXTR. Bioinformatics and in silico modelling provide the planned means of investigation.
interpretation
Publication findings describe their original experimental systems. Links from Atlas records identify shared reading; a sequence-to-biology correspondence remains open for assessment.
publication count
14
hero publication ids

E03 · E06 · E08 · E11

hero selection
Four lead references within the fourteen unique publications, one for each theme.
wss
status
Awaiting assessment
score
Not recorded
meaning
Future assessment of relevance to individual Atlas records. Publication trust scores remain separate from WSS.
appraisal method
id
provisional-editorial-v1
label
Provisional editorial trust
range

0 · 10

purpose
Prioritise closer reading of reported findings. This is an editorial assessment, without calibration or independent peer review.
components
design
range

0 · 3

criteria
0
Insufficient information
1
Descriptive observation
2
Structured measurement or comparative design
3
Controlled mechanistic test or quantitative prediction tested by manipulation
validation
range

0 · 3

criteria
0
Unassessed
1
Limited or abstract-level corroboration
2
Complementary evidence within the paper
3
Independent replication appraised
review
range

0 · 3

criteria
0
Unreviewed
1
Abstract, metadata or figure descriptions
2
Selected full-text sections
3
Main text, relevant methods/results and captions reviewed
provenance
range

0 · 1

criteria
0
Unverified
1
Verified primary peer-reviewed publication
independent replication appraisal
Not yet completed for this collection
citation policy
Crossref cited-by counts are a dated contextual snapshot and contribute no points. Coverage depends on deposited references. Unavailable counts remain null.
journal policy
Journal reputation and impact factor contribute no points.
jadad policy
Jadad concerns reporting of randomised clinical trials. It is not applicable to these fourteen study designs; no numeric Jadad score is assigned.
publications
  1. id
    E01
    title
    Reconstitution of circadian oscillation of cyanobacterial KaiC phosphorylation in vitro
    author
    Nakajima et al.
    year
    2005
    journal
    Science
    doi
    10.1126/science.1108451
    theme
    Alpha · circadian timing
    hero
    Not recorded
    methods
    Purified cyanobacterial clock proteins; biochemical reconstitution
    finding
    KaiA, KaiB, KaiC and ATP supported self-sustaining phosphorylation oscillation. Temperature compensation and agreement between mutant periods in vitro and in vivo strengthened the biological interpretation.
    relevance
    direct evidence for a molecular timing mechanism; a broad Alpha reference independent of OXTR.
    limit
    biochemical reconstruction is more informative about mechanism than visual analogy. It is a cyanobacterial system, not a mammalian receptor study, and does not support a universal exact 24-hour period or M9 correspondence.
    access
    primary abstract and publication metadata. Replication and detailed methods require full-text appraisal before a formal quality rating.
    score Parts
    design
    3
    validation
    1
    review
    1
    provenance
    1
    score
    6
    score Reason
    Molecular reconstitution tests a timing mechanism; appraisal currently covers the abstract and metadata.
    jadad
    Not applicable
    citation Count
    1020
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Reconstitution of Circadian Oscillation of Cyanobacterial KaiC Phosphorylation in Vitro
  2. id
    E02
    title
    Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle
    author
    Feillet et al.
    year
    2014
    journal
    PNAS
    doi
    10.1073/pnas.1320474111
    theme
    Alpha / Beta · cycle coupling
    hero
    Not recorded
    methods
    Mouse fibroblasts; live-cell imaging and modelling
    finding
    live imaging of proliferating mouse fibroblasts, combined with modelling, identified phase locking and additional clock states under different conditions.
    relevance
    direct support for studying relationships between biological cycles; connects the Alpha and Beta research themes without making them equivalent.
    limit
    single-cell observations support the dynamical interpretation. Culture conditions and synchronisation matter, and related cells are not automatically independent replicates. No modular doubling or Atlas geometry was tested.
    access
    primary abstract and selected results, including period distributions. A phase-space representation is not evidence of a physical toroidal cell structure.
    score Parts
    design
    2
    validation
    2
    review
    2
    provenance
    1
    score
    7
    score Reason
    Live-cell observations and modelling provide complementary evidence for phase locking; selected results appraised.
    jadad
    Not applicable
    citation Count
    216
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle
  3. id
    E03
    title
    Interaction between time-of-day and oxytocin efficacy in mice and humans with and without gestational diabetes
    author
    Duong et al.
    year
    2026 (online 2025)
    journal
    Molecular Metabolism
    doi
    10.1016/j.molmet.2025.102269
    theme
    Alpha · circadian regulation
    hero
    alpha
    methods
    Mouse genetics; human cells; retrospective human records
    finding
    mouse experiments support BMAL1 regulation of Oxtr and time-dependent oxytocin responsiveness. Human myometrial-cell experiments and records from 2,367 patients add distinct translational observations.
    relevance
    a direct OXTR connection to the Alpha theme.
    limit
    genetic perturbation and promoter experiments strengthen mechanism. Animal, cell and retrospective components need separate appraisal; the human observations can be confounded. Uterine findings do not establish effects in brain tissue.
    access
    final publication abstract and selected full-text results. The 2024 preprint is superseded for this register and is not counted as another study.
    score Parts
    design
    3
    validation
    2
    review
    2
    provenance
    1
    score
    8
    score Reason
    Genetic and promoter experiments support mechanism; the human observational component has separate confounding limits.
    jadad
    Not applicable
    citation Count
    3
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Interaction between time-of-day and oxytocin efficacy in mice and humans with and without gestational diabetes
  4. id
    E04
    title
    Cryptochromes mediate rhythmic repression of the glucocorticoid receptor
    author
    Lamia et al.
    year
    2011
    journal
    Nature
    doi
    10.1038/nature10700
    theme
    Alpha · receptor regulation
    hero
    Not recorded
    methods
    Mouse cells and mice; genetic and biochemical experiments
    finding
    Cry1/Cry2 interacted with the glucocorticoid receptor and altered glucocorticoid-responsive transcription in mouse cells, with related metabolic phenotypes in mice.
    relevance
    direct circadian–receptor evidence provides a natural NR3C1 example beyond oxytocin.
    limit
    molecular interactions, genetic perturbations and physiological observations complement one another. Multiple pathways change in knockout animals; the results do not isolate a universal geometric explanation or establish human clinical effects.
    access
    primary abstract and selected experimental/results text. NR3C1 identifies the receptor target; the principal genetic perturbations here involved cryptochromes.
    score Parts
    design
    3
    validation
    2
    review
    2
    provenance
    1
    score
    8
    score Reason
    Genetic perturbations, molecular interactions and physiological measurements support the reported mechanism.
    jadad
    Not applicable
    citation Count
    550
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Cryptochromes mediate rhythmic repression of the glucocorticoid receptor
  5. id
    E05
    title
    Experimental and theoretical study of mitotic spindle orientation
    author
    Théry et al.
    year
    2007
    journal
    Nature
    doi
    10.1038/nature05786
    theme
    Beta · mitotic geometry
    hero
    Not recorded
    methods
    Human HeLa cells; controlled adhesion geometry and modelling
    finding
    controlled adhesion patterns in human HeLa cells, combined with a physical model, accounted for spindle-orientation distributions across different microenvironment geometries.
    relevance
    direct evidence that geometry is a meaningful biological variable; supports interest in the Beta/division theme and related shape families.
    limit
    manipulation of the cell environment offers more than an observational resemblance. The model uses specific force assumptions and a transformed cell line. Division orientation is distinct from division rate, population doubling or a Fibonacci sequence.
    access
    publisher abstract and figure descriptions. Full methods and sample accounting remain to be appraised.
    score Parts
    design
    3
    validation
    1
    review
    1
    provenance
    1
    score
    6
    score Reason
    Controlled adhesion geometry tests a quantitative model; full methods and sample accounting remain open for appraisal.
    jadad
    Not applicable
    citation Count
    424
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Experimental and theoretical study of mitotic spindle orientation
  6. id
    E06
    title
    Oxytocin promotes epicardial cell activation and heart regeneration after cardiac injury
    author
    Wasserman et al.
    year
    2022
    journal
    Frontiers in Cell and Developmental Biology
    doi
    10.3389/fcell.2022.985298
    theme
    Beta · proliferation
    hero
    beta
    methods
    Human stem-cell-derived epicardial cells and zebrafish
    finding
    OXT promoted activation and proliferation-related outcomes in human stem-cell-derived epicardial cells; OXTR knockdown removed the response. Zebrafish experiments supplied a separate regeneration context.
    relevance
    a direct OXTR-related example for the Beta research theme.
    limit
    receptor knockdown strengthens causal interpretation within the model. Check independent cell lines and differentiation batches; images are subsamples, not donors. Cultured epicardial cells and fish regeneration do not establish regeneration of adult human hearts.
    access
    primary full-text methods/results and relevant figure captions, including OXTR knockdown and proliferation measurements.
    score Parts
    design
    3
    validation
    2
    review
    3
    provenance
    1
    score
    9
    score Reason
    Receptor knockdown provides a mechanistic test alongside cell and zebrafish experiments; methods and results appraised.
    jadad
    Not applicable
    citation Count
    25
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Oxytocin promotes epicardial cell activation and heart regeneration after cardiac injury
  7. id
    E07
    title
    Oxytocin stimulates hippocampal neurogenesis via oxytocin receptor expressed in CA3 pyramidal neurons
    author
    Lin et al.
    year
    2017
    journal
    Nature Communications
    doi
    10.1038/s41467-017-00675-5
    theme
    Beta · survival / proliferation
    hero
    Not recorded
    methods
    Mice; conditional Oxtr deletion
    finding
    conditional Oxtr deletion in mouse hippocampal excitatory neurons affected survival and maturation of newly generated neurons, while measured progenitor proliferation and early differentiation were unchanged.
    relevance
    direct evidence that the biological outcome must be named precisely. It bounds generalisations from E06 without contradicting a different tissue-specific finding.
    limit
    conditional genetics help localise the process. Appraise cell-type specificity, blinding and precision; an unchanged measured outcome does not prove absence of every possible effect.
    access
    primary results/discussion. Retained deliberately to avoid presenting all OXTR growth-related findings as evidence of duplication.
    score Parts
    design
    3
    validation
    2
    review
    2
    provenance
    1
    score
    8
    score Reason
    Conditional genetics and cell-outcome measurements distinguish survival from proliferation in this mouse system.
    jadad
    Not applicable
    citation Count
    149
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Oxytocin stimulates hippocampal neurogenesis via oxytocin receptor expressed in CA3 pyramidal neurons
  8. id
    E08
    title
    Structural basis for the activation and ligand recognition of the human oxytocin receptor
    author
    Waltenspühl et al.
    year
    2022
    journal
    Nature Communications
    doi
    10.1038/s41467-022-31325-0
    theme
    Gamma · molecular recognition
    hero
    gamma
    methods
    Engineered human receptor complex; cryo-EM and functional assays
    finding
    cryo-EM at 3.2 Å and functional experiments characterised OXT recognition and receptor activation. All nine peptide residues participate in binding.
    relevance
    a direct structural foundation for Gamma's molecular-recognition theme; useful context, but not confirmation, for the OXT-specific Epsilon proposal.
    limit
    structure–function comparisons strengthen interpretation. Receptor stabilisation and an engineered G protein affect generalisation. The six-residue disulfide loop is not itself an aromatic hexagon; the reported contacts do not establish an Epsilon trajectory.
    access
    full primary article main text, receptor-engineering description and functional-assay captions. No new molecular analysis performed.
    score Parts
    design
    3
    validation
    2
    review
    3
    provenance
    1
    score
    9
    score Reason
    Structural observations and functional residue tests provide complementary evidence; main text and assay descriptions appraised.
    jadad
    Not applicable
    citation Count
    46
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Structural basis for the activation and ligand recognition of the human oxytocin receptor
  9. id
    E09
    title
    X-ray structures and mechanism of the human serotonin transporter
    author
    Coleman, Green & Gouaux
    year
    2016
    journal
    Nature
    doi
    10.1038/nature17629
    theme
    Gamma · molecular recognition
    hero
    Not recorded
    methods
    Engineered human serotonin transporter; crystallography and assays
    finding
    structures of human SERT bound to antidepressants identified central and allosteric binding sites and explained aspects of inhibitor recognition.
    relevance
    direct structural evidence broadens Gamma beyond OXTR to SLC6A4.
    limit
    structural and binding/transport measurements are complementary. Thermostabilised constructs were used; the ts3 construct had no detectable transport activity. Results describe particular inhibitor-bound conformations rather than every physiological state.
    access
    publisher abstract and selected primary methods/results. These data concern the protein product and ligand recognition, not regulation of SLC6A4 gene expression.
    score Parts
    design
    2
    validation
    2
    review
    2
    provenance
    1
    score
    7
    score Reason
    Structures and functional measurements complement one another; engineered constructs constrain interpretation.
    jadad
    Not applicable
    citation Count
    674
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    X-ray structures and mechanism of the human serotonin transporter
  10. id
    E10
    title
    Structure of a D2 dopamine receptor–G-protein complex in a lipid membrane
    author
    Yin et al.
    year
    2020
    journal
    Nature
    doi
    10.1038/s41586-020-2379-5
    theme
    Gamma · molecular recognition
    hero
    Not recorded
    methods
    Engineered human DRD2 complex in a lipid membrane; cryo-EM
    finding
    cryo-EM characterised an agonist-bound DRD2–Gi complex within a reconstituted phospholipid membrane, identifying receptor, G-protein and lipid interactions.
    relevance
    direct evidence for the structural context of molecular recognition; another Gamma hero example.
    limit
    including a lipid environment improves contextual relevance relative to isolated detergent structures. The receptor complex is engineered and ligand-bound; it does not represent every receptor state or establish clinical outcomes.
    access
    primary abstract and selected full-text structural results, with deposited structural metadata checked. No geometric correspondence to the Atlas was analysed.
    score Parts
    design
    2
    validation
    1
    review
    2
    provenance
    1
    score
    6
    score Reason
    A membrane-reconstituted structural observation provides a defined molecular state; independent functional validation needs fuller appraisal.
    jadad
    Not applicable
    citation Count
    199
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Structure of a D2 dopamine receptor–G-protein complex in a lipid membrane
  11. id
    E11
    title
    Assembly of a π–π stack of ligands in the binding site of an acetylcholine-binding protein
    author
    Stornaiuolo et al.
    year
    2013
    journal
    Nature Communications
    doi
    10.1038/ncomms2900
    theme
    Epsilon · aromatic stacking
    hero
    epsilon
    methods
    Molluscan binding protein; crystallography and solution assays
    finding
    an Aplysia acetylcholine-binding protein accommodated a stack of three aromatic ligands. Solution binding measurements supported the structural observation.
    relevance
    direct experimental support for π-stacking as a molecular-recognition phenomenon; an Epsilon reference that does not depend on OXTR.
    limit
    crystallography, mutagenesis and solution assays help address crystallographic-artifact concerns. This soluble molluscan protein is a model for receptor ligand-binding domains, not a complete human receptor. Neither the three-ligand count nor the stacked geometry establishes the Atlas traversal.
    access
    full primary main text, including solution validation and scope of the receptor model.
    score Parts
    design
    3
    validation
    2
    review
    3
    provenance
    1
    score
    9
    score Reason
    Structures, mutagenesis and solution assays support the binding interpretation; full main text appraised.
    jadad
    Not applicable
    citation Count
    66
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Assembly of a π–π stack of ligands in the binding site of an acetylcholine-binding protein
  12. id
    E12
    title
    Targeted disruption of pi–pi stacking in Malaysian banana lectin reduces mitogenicity while preserving antiviral activity
    author
    Covés-Datson et al.
    year
    2021
    journal
    Scientific Reports
    doi
    10.1038/s41598-020-80577-7
    theme
    Epsilon · aromatic stacking
    hero
    Not recorded
    methods
    Engineered plant lectin; structures and cellular assays
    finding
    an F84T mutation disrupted aromatic stacking in Malay BanLec, reduced mitogenic activity and retained antiviral activity in the studied assays.
    relevance
    a direct structure–function example for Epsilon; also connects molecular interactions with proliferation as a biological outcome.
    limit
    structural checks and functional comparisons strengthen the rationale. Mutation can change several properties simultaneously, so this is not a pure isolation of one energetic contribution. Plant-lectin effects do not establish OXTR behaviour or clinical benefit.
    access
    primary abstract and main structural/results sections. Published in 2021 despite “2020” appearing within the DOI.
    score Parts
    design
    3
    validation
    2
    review
    2
    provenance
    1
    score
    8
    score Reason
    Targeted mutation and structural / cellular comparisons connect aromatic organisation with biological outcomes.
    jadad
    Not applicable
    citation Count
    24
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Targeted disruption of pi–pi stacking in Malaysian banana lectin reduces mitogenicity while preserving antiviral activity
  13. id
    E13
    title
    Reconstruction of molecular orbital densities from photoemission data
    author
    Puschnig et al.
    year
    2009
    journal
    Science
    doi
    10.1126/science.1176105
    theme
    Valence electron orbitals
    hero
    Not recorded
    methods
    Organic molecular films; photoemission and calculations
    finding
    photoemission measurements and Fourier reconstruction yielded orbital-density distributions for pentacene films and p-sexiphenyl monolayers, compared with density-functional calculations.
    relevance
    direct physics evidence for studying spatial electronic structure; contextual to the valence-electron theme and more distant from biological significance.
    limit
    comparison of measurement and theory is valuable. Reconstruction is model-dependent and the samples are non-living materials. Orbital densities are not classical electron orbits or evidence of unicursal electron motion.
    access
    primary abstract and metadata. No biological role, creation-of-life claim or numeric WSS assignment follows from this paper.
    score Parts
    design
    2
    validation
    1
    review
    1
    provenance
    1
    score
    5
    score Reason
    Measurement and reconstruction are compared with calculations; current appraisal is abstract-level.
    jadad
    Not applicable
    citation Count
    334
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    Reconstruction of Molecular Orbital Densities from Photoemission Data
  14. id
    E14
    title
    CD38 is critical for social behaviour by regulating oxytocin secretion
    author
    Jin et al.
    year
    2007
    journal
    Nature
    doi
    10.1038/nature05526
    theme
    Supporting OXT context
    hero
    Not recorded
    methods
    Mice; Cd38 knockout and rescue experiments
    finding
    Cd38-knockout mice showed altered oxytocin secretion and behavioural phenotypes. Oxytocin replacement or hypothalamic delivery of human CD38 rescued selected outcomes.
    relevance
    direct support for CD38 involvement in the oxytocin system. Retained as supporting hero context without forcing it into a particular sequence family.
    limit
    knockout plus rescue strengthens causal interpretation in mice. Global deletion, behavioural measurement and human translation require careful appraisal. This concerns secretion, not proof of OXTR-expression regulation or geometric correspondence.
    access
    primary abstract and figure descriptions. Full methods are needed before formal risk-of-bias grading.
    score Parts
    design
    3
    validation
    1
    review
    1
    provenance
    1
    score
    6
    score Reason
    Knockout and rescue experiments test the secretion mechanism; full methods remain open for appraisal.
    jadad
    Not applicable
    citation Count
    585
    citation Source
    Crossref cited-by count
    citation Checked
    17 October 2026
    crossref Title
    CD38 is critical for social behaviour by regulating oxytocin secretion
formation interval encoding
version
alpha-endpoints-v1
rule
For each formation interval, walk clockwise from from_index + 1 to to_index, excluding both endpoints and wrapping modulo P. Read values from alpha.residues. Endpoints, sum and residue are retained.