Explore the foundations and current research.

Can unknown positive word kernels be constructed, exactly completed and distinguished without supplying a target Hamiltonian or state?

Executable unknown noncommutative moment search; exact finite CAR/transfer realizations under declared search premises. No physical source-selection proof.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–87

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/contract_index.json

  8c513dfb4ddbd224dcba90d665b6386fe51078477857092bcda7cb4371d8cd77

• README.md lines 1–281

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/README.md

  e1d78365d7998faf7dc16d77cca2e78ff504781703a9c046ec4914b7636568b6

• proof_check.py lines 1–477

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/proof_check.py

  20ff2f31248842da89c7a48c27ba739e916eeba44f9fb6e66663149de8ac7676

• source_manifest.json lines 1–141

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/source_manifest.json

  9b1ae6946663b8dbee18a099738a6516ce6c2dac9abe73401a961bca60655269

• .gitignore lines 1–2

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/.gitignore

  e99f6ee4eb88882ea6589ecb717e10a41401763241b246b6821bc091cfe2227e

• exact_certificate.py lines 1–470

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/exact_certificate.py

  57753a3efff8b0b9de70cec60b0a4afa96b9e8d1343ee01eb0a49809ffac3840

• finite_completion.py lines 1–285

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/finite_completion.py

  80f5bae4afe92b6784ed4941524066c2fe5593839e0adbbd7af1eb47646a7f8d

• kernel_search.py lines 1–274

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/kernel_search.py

  d158e991b9ad7f2fa2d8011e228589830d90db06fa4e21c919f546dbcd67c315

• requirements.txt lines 1–6

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/requirements.txt

  97632712110f1fb47b72b671bce089c21882d8a1cb10b9420fa4ee29dd90d954

• run_search.py lines 1–216

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/run_search.py

  c5c12550fb2970add6f94c6056d1363ec3de331b272054450b669275f42b3db6

• moments.json lines 1–21991

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-positive/moments.json

  09562a9a1707f19aca846d815425415d4df24f35343437839f627b333383a879

• next-source-question.json lines 1–182

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-positive/next-source-question.json

  bc6d62fe77d170f4d2b8529edea93481e279dcf3ee218a383f0b9940512409d2

• summary.json lines 1–234

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-positive/summary.json

  aa8c24455b183c8fa5829199b99706c2249d344a5c7de95f473a33937241ee9f

• moments.json lines 1–21991

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-zero-floor/moments.json

  d6446eb7b1558b4f4a0a26481cbde29379011d4c8757fe11f01a949d2a71bbcf

• next-source-question.json lines 1–182

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-zero-floor/next-source-question.json

  1db138400d2b6ed3582d8db69b1ff606b52c39df065fc8e0bd764d96058a7230

• summary.json lines 1–234

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/certified-zero-floor/summary.json

  888d325dbf8dce87166ad7208834a46e9eb847dec907c7b69f3fefbed0b8ec01

• m1-d3-floor-quarter-tight.json lines 1–2727

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/m1-d3-floor-quarter-tight.json

  ea295dc4f1a1e903ca790ec1c5129ac1033c7d8468f8bbb8c4426b364f8acb90

• m1-exact-certificate.json lines 1–526

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/m1-exact-certificate.json

  e1f84590a058e41572f1a3c43b40380a560762491b17c1fa471f620e2c2d5334

• moments.json lines 1–21993

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/source-clustering/moments.json

  7429db68e991b7c5351361f607ac9fb2dfb62e3c99b6945813fdb5160f5bda9c

• next-source-question.json lines 1–182

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/source-clustering/next-source-question.json

  c99e15c79ae87eb26a49220a6a78ddb2dc937356e87e4000081f7cc66f49bd2e

• offline-check.json lines 1–941

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/source-clustering/offline-check.json

  eeaa8758e1a2ea68746df225c906e8b9e3a15f73aeece7a3249afa3b0e3d8f08

• summary.json lines 1–237

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/runs/source-clustering/summary.json

  9c3068b7828231e0e09e5a6a6a88512b97960c684082670c709bd91f5ea4d402

• test_exact_certificate.py lines 1–104

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_exact_certificate.py

  6631553ca2f465b86f9345262995ad77e65296be8dccb24123428615ad7b0363

• test_finite_completion.py lines 1–119

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_finite_completion.py

  05f57c2b06c1327fd0b940144d1f4641fa5800482d8aecfb3b8fec692d587eb0

• test_kernel_search.py lines 1–334

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_kernel_search.py

  2c58e8f3f83f03a83190f26d60574c10175ef7e6e62c7ea278b5bc714344fc89

• test_proof_check.py lines 1–84

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_proof_check.py

  0a628ce474d86fa71fe5ada84857ecc6a943cf020102285a62f960aefc5db744

• test_run_search.py lines 1–81

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_run_search.py

  da996de81ffd38048a8e9de65874d19d342abf83a578cfd5a167905ba65d799f

• test_word_algebra.py lines 1–129

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/test_word_algebra.py

  66e7ea1db73f43b514130b3979c43d6d8ed5f7be895174132dc857c9f1358454

• word_algebra.py lines 1–135

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  experiments/theory-contracts/seam-positive-kernel-search-20261015/word_algebra.py

  25964ecf2b718372210ddc669ed402677d61cf180c62839a0f3cc9338b1d5254

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-positive-kernel-search-20261015

Do the existing original seam readout, transfer and NS deck lift select c3, phi_base and the carrier exponent as one physical mechanism, two fixed points or a compiler/process split?

Native exact structural and conditional canonical current-algebra calculations. Not a derivation of the physical alpha, raw seam state, spacetime dynamics or compiler/process identity.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–20

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  experiments/theory-contracts/seam-readout-flow-deck-20261005/contract_index.json

  434dae77dee642e553ded45c258c7749262cdf80a76ab012a139c12df76fae9a

• README.md lines 1–76

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  experiments/theory-contracts/seam-readout-flow-deck-20261005/README.md

  62c3fee7d8e34745c2199230f1a8fc04d8d90e77a771d9f0d9b787a801edcc48

• checker.py lines 1–200

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  experiments/theory-contracts/seam-readout-flow-deck-20261005/checker.py

  4a643a53fe1b365d4c2118a51bb15d146d2464148946f13881ff45011b4cec93

• results.json lines 1–94

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  experiments/theory-contracts/seam-readout-flow-deck-20261005/results.json

  6438a1905583af8cf72c0c7d70dfbb085b67e99fc2313563f13683b126489926

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-readout-flow-deck-20261005

Which order-four markings are generated by the retained source time and full charge, and do they supply a physical common source without an inserted P5?

The rational source plane generated by the recorded folded chiral time and fully normalized U1 charge in the stipulated E8 extension; no classification of arbitrary P1/P2 sources.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–49

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  experiments/theory-contracts/seam-source-character-search-20261015/contract_index.json

  28e736f1904207f1c6c15932bf7b6130637364427b4ec4fa82eaa2289f820362

• PROOF.txt lines 1–204

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  experiments/theory-contracts/seam-source-character-search-20261015/PROOF.txt

  b0c7f7a36eb394c9aa44babac821221201c4baa5640d6acb11669a7b94b281d9

• README.md lines 1–83

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  experiments/theory-contracts/seam-source-character-search-20261015/README.md

  5cc4f5a5d1de2479bdfffbb397594b7a63c0641e15ef158b9d57a74cf4592b25

• search.py lines 1–425

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  experiments/theory-contracts/seam-source-character-search-20261015/search.py

  4d4a905d221341cff287f6531e8ffed651346dbd851242ef3f60714b6f6fb8e2

• source_manifest.json lines 1–33

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  experiments/theory-contracts/seam-source-character-search-20261015/source_manifest.json

  41a196178a96056cade4e6e51aee66c854eb360373dc0fc69df470278f767cb1

• tfpt_1_architecture_e8.tex lines 1–1

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  tfpt_1_architecture_e8.tex

  45a26936328c7464bcca138329e7361eb8ee89a597d29fed281af6785ace43a5

• 01_boundary_kernel_source.tex lines 1–1

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  _archive/tfpt-45/source_extracts/01_boundary_kernel_source.tex

  89afb7d6cd1bb3a74ce4acd2ab43f4d990e7f22d5986c33e3fe90a0abf1260ff

• fold-results.json lines 1–286

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  experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json

  253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639

• FOLD-AUDIT.md lines 1–250

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  experiments/theory-contracts/v16-operator-pullback-20261014/FOLD-AUDIT.md

  f237a8c9b7c0b8157b222c2a922f6d0183f39db149a4249c2a6b984f0d29dc8d

• PROOF.txt lines 1–1087

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  experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt

  7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0

• PROOF.txt lines 1–251

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  experiments/theory-contracts/seam-joint-conjugation-20261015/PROOF.txt

  bbea15f5ebb1dff698f1ecdfd8a18e724089c8fe9880dea684a5f9fd45cb1c8a

• README.md lines 1–230

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  experiments/theory-contracts/carrier-module-conjugation/README.md

  2f1b9171f4ea03bbe6dc0466834f21d738526b84c559f4008fa17c3e8f42ee70

• atlas_packet.snapshot.json lines 1–1264

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  experiments/theory-contracts/seam-source-character-search-20261015/atlas_packet.snapshot.json

  1498fea89184cd0d33748e64709dd59ae48f10156ec412c308d19bc9efd0960b

• lean-receipt.json lines 1–48

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  experiments/theory-contracts/seam-source-character-search-20261015/lean-receipt.json

  c23596ea27ff496eef221cc5620e8e7b8d5a892fefa84324a685765e8e4078f0

• results.json lines 1–10931

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  experiments/theory-contracts/seam-source-character-search-20261015/results.json

  fd6b5e705fc664e91a64da585e0c31385cf15aa4e9357c563781f2ae27db9093

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-source-character-search-20261015

Does the actual P1/P2 seam determine a common field, state and time map with the quarter phase retained, and what exact operator conditions permit reconstruction?

Original-source proof audit; abstract operator reconstruction under stated isometry, purity, minimal dilation and actual-time hypotheses; complete continuous scalar Hardy-symbol classification, exact rational diagnostics and conditional CAR sea transport. Same-source CAR excitation-energy identity and global minimizer in the H1 scalar-multiplier class; not uniqueness in the full restricted unitary group.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–76

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  experiments/theory-contracts/seam-source-operator-reconstruction-20261015/contract_index.json

  786048fa63d6be7243ff640ac7e507da5a8042fba2c17763e089b810b286d029

• PROOF.txt lines 1–318

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  experiments/theory-contracts/seam-source-character-search-20261015/source_reconstruction/PROOF.txt

  424e2f8eaf021cae575e479ccca4fcd2b8a34df1e5d5410371a86144f07ddb5d

• search.py lines 1–392

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  experiments/theory-contracts/seam-source-character-search-20261015/source_reconstruction/search.py

  53bec761f84ff5e1934837707946e0fc24d8db78ea7c8d32b333c0fae6384001

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-source-operator-reconstruction-20261015

Can one source-native double/lift, frozen reference and geometric/scalar dictionary produce the jointly asserted Einstein and Higgs residue coefficients and physical replica response?

Conditional analytic completion of the given geometric Dirac datum plus exact standard-connection coefficient consistency test. Historical v4.5 source interface, not an active v5.4 full TOE countermodel or P1/P2 source selection. Additional Phi-dependent connection or different source trace must be explicitly derived before transferring the mismatch.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–93

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  experiments/theory-contracts/seam-spectral-response-origin-20261013/contract_index.json

  745d2cc51500d0b4e347137dd331d3159672768427e8f0fb69ac344baa3f18ce

• PROOF.txt lines 1–849

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  experiments/theory-contracts/seam-spectral-response-origin-20261013/PROOF.txt

  cfb8ef8b2ff220eff1b5c47a870462750e74e416001bd63dbb7d236dd8abb920

• README.md lines 1–10

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  experiments/theory-contracts/seam-spectral-response-origin-20261013/README.md

  235f12d7166b07f9f21e0c6d62b9c19bb66df7ac6f58ad1b67d0e874ab483a05

• checker.py lines 1–222

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  experiments/theory-contracts/seam-spectral-response-origin-20261013/checker.py

  5bcc71313eddec6e00a21f26795dabfc6e4135aae9aa29d5f728d78be8ab362f

• results.json lines 1–236

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  experiments/theory-contracts/seam-spectral-response-origin-20261013/results.json

  abe99fdffa7a21d90e5236e2581ea662dcfa73383b818f367724a4f416d4904b

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-spectral-response-origin-20261013

Does [rho,C]=0 imply [rho,H]=0 for C=(I+sgn(H))/2, and does the state determine the positive magnitudes of H?

Exact finite counterexample to the reverse sign-projector inference; positive-temperature KMS inversion retains magnitudes for known beta. No claim against fixed-standard-pair modular uniqueness, the forward mark-local route, or full TFPT source existence.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–27

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  experiments/theory-contracts/seam-state-dynamics-injectivity-20260918/contract_index.json

  35966a130f0bbd8bc7bb3bf34dd884cf22d73b4e5aece5984fcd447b3aa72a65

• validation.json lines 1–333

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  experiments/theory-contracts/seam-state-dynamics-injectivity-20260918/validation.json

  9f53d4b3f366d04795e3b76c32510105867fa997c4bca0ccb1382cac0d36b54f

• README.md lines 1–130

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  experiments/theory-contracts/seam-state-dynamics-injectivity-20260918/README.md

  9b3d02af286051e4476b2bf079ae01abd97fe5634a10728521b09e8739c02e91

• checker.py lines 1–215

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  experiments/theory-contracts/seam-state-dynamics-injectivity-20260918/checker.py

  053ff5d74f01d55eda1c7622b97245e500d093749d65f7cf81b368be3ee9f260

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-state-dynamics-injectivity-20260918

Does one original seam operation select both 8pi/6pi responses, the deck lift and the actual alpha functional?

Exact native lattice and finite contact-operator structure; canonical lattice-VOA interpretation conditional; no physical alpha or raw-source derivation.

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–29

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  experiments/theory-contracts/seam-two-normalizations-origin-20261005/contract_index.json

  69030c41900686a6a43d60e70279417f6eb1d601bc4fe4aff2b74b9fbb1bf848

• README.md lines 1–53

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  experiments/theory-contracts/seam-two-normalizations-origin-20261005/README.md

  6743c111d510f75a65ea6a100ad4ae825dc90c86686e0600961b180db2320d8f

• checker.py lines 1–95

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  experiments/theory-contracts/seam-two-normalizations-origin-20261005/checker.py

  f20b929cd7c6825e9bb3cbe824ad9f69fa0228ecb8478d3d8a2094f90a23d564

• results.json lines 1–96

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  experiments/theory-contracts/seam-two-normalizations-origin-20261005/results.json

  835155132d7afffb26bbf99026b5e05c68ed74190d323e7b2a85fa839beca688

• findings_overrides.json lines 1–1396

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  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seam-two-normalizations-origin-20261005

Round50: a second matter layer and exact source compilation

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• validation.json lines 1–375

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  experiments/theory-contracts/second-matter-round50/validation.json

  f4d9301562995d416da0b74e57898431f91fde2081bfd4fb93b51c6158290183

• README.md lines 1–78

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  experiments/theory-contracts/second-matter-round50/README.md

  ba02cd8c73e206952d835e09250a62f66201cce814b8cca4f513194126cb2a31

• baseline-orbit-validation.json lines 1–29

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  experiments/theory-contracts/second-matter-round50/baseline-orbit-validation.json

  e3ec743858251aa14e10b6a0c3b9dec0960ff4487f9c28ab4d394cebec9e1f7d

• findings_overrides.json lines 1–1396

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  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:second-matter-round50

Round39: evaluated second local source and phase-sensitive response

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• validation.json lines 1–316

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/second-source-round39/validation.json

  4c478153645d428ff9d208845c2de743265678250cbfd18391fa1417e746fb24

• README.md lines 1–86

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/second-source-round39/README.md

  c064106782d48e6484b94076c5bf4b85b9ccb6335d76115b6825a2c4f47a1f80

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:second-source-round39

Welche korrigierte Forschungspriorität und welcher einfache native Kopplungskern bleiben nach dem Abgleich mit sieben anderen Sessions und unabhängiger Gegenrechnung bestehen?

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• contract_index.json lines 1–33

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/session-reorientation-20260914/contract_index.json

  ca741eccf11159e54eeb2e6257a6e07a1ad1bcc6b7ff6df2e01b4b6f14246981

• RESULTS.md lines 1–182

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/session-reorientation-20260914/RESULTS.md

  281ea5cd84a0fb7f452e50904f7f5a5093ba549a666ebc403665112fa527494b

• check_native.py lines 1–133

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/session-reorientation-20260914/check_native.py

  c95751338283a0a34d291b8b6f1a21d6946c823a7ae5f144a180787c160df07f

• sources.json lines 1–124

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/session-reorientation-20260914/sources.json

  f4d98da0970df84071002578f362375b80efce545398a45dd1c808a3dba01207

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:session-reorientation-20260914

Complete grade-seven source: conditional cubic ideal-error bound

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• validation.json lines 1–339

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seventh-frontier-bound/validation.json

  206e07ca63db82f1ff76d290fb9752e6be0ff045bc0143f9083209b75cad2ff9

• README.md lines 1–151

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seventh-frontier-bound/README.md

  d5bee3291ce01d10e2b4e43299427821f9a1ef93aed5ab060621bbb8a0d8695a

• edge-time-validation.json lines 1–191

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seventh-frontier-bound/edge-time-validation.json

  369559417f33e769db5583f261dc94fc24d55eb0fcb5e0de4a8ccd7977c9496b

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seventh-frontier-bound

The complete weighted-grade-seven source on the original edge

Original historical attempt metadata. A reported PASS is not a reviewed theorem, a fresh run or physical completion.

• validation.json lines 1–827

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seventh-frontier-edge/validation.json

  e72c919635012a0f4d75ae140606e6721ea17955ba19295a414011c681c3b8dc

• README.md lines 1–83

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seventh-frontier-edge/README.md

  473abacd09b79e5f84673c037d37b86c0fa69bcc048e5a2f7ae71800d244f4f1

• findings_overrides.json lines 1–1396

  Source checked at this snapshot

  Original location and fingerprint

  verification/findings_overrides.json

  aa67c3ed6617aab61c3c7fa9b29e0412d01ab193c62245491563c376151746a5

contract:seventh-frontier-edge