Audited literal point-link lifting and dual colored-incidence canonicalization before any two-profile frontier census.

certified point-link frontier census

Exact projection/lifting controls plus dreadnaut and independent partition-refinement canonicalization determine whether a later orbit census has a sound representation.

Hypothesis: The proposed point-link census representation preserves literal global lifting data on the maintained 55-cover, and two independent colored-incidence canonicalizers are stable on both forced link profiles.

Test: Project roots 1 and 15 of the maintained 55-cover, lift them exactly, reconstruct the pair matrix and common blocks, and cross-check three profile controls under 1000 producer and 64 independently generated relabelings per case.

Exact source reconstruction, two materially different canonicalization encodings, thousands of relabeling controls, byte-identical regeneration, hash binding, and mutation rejection support the narrow infrastructure claims. None of those controls supplies exhaustive coverage of the unknown link or cover spaces.

• At roots 1 and 15, the maintained 55-cover's literal point-link projection and residual family lift exactly to the original cover, reconstruct its global pair matrix, and agree on six literal common blocks.
• The displayed 7,5^13 link and both displayed 6,6,5^12 links are asymmetric as degree-colored incidence structures; the two ordinary links are isomorphic.

• python3 scripts/run_link_lifting_canonical_gate_v1.py --cover sources/ljcr-c1553-55.txt --high-link artifacts/local-link-pilot-20260808/live-7-5x13-witness.txt --dreadnaut /usr/bin/dreadnaut --relabelings 1000 --seed 1553 --output-dir artifacts/link-lifting-canonical-gate-20260809-v1
• python3 checkers/check_link_lifting_canonical_gate_v1.py --result artifacts/link-lifting-canonical-gate-20260809-v1/result.json --cover sources/ljcr-c1553-55.txt --high-link artifacts/local-link-pilot-20260808/live-7-5x13-witness.txt --dreadnaut /usr/bin/dreadnaut
• sha256sum -c artifacts/link-lifting-canonical-gate-20260809-v1/manifest.sha256

• .proof-experiments/20260809-073211-7b1376: PASS in 28.286 seconds; exact lift and canonicalization controls passed, with no frontier enumeration.

checkers/check_link_lifting_canonical_gate_v1.py independently reparses bit masks, reconstructs both lifts and common blocks, rebuilds both graph encodings, runs 192 distinct relabelings, and imports no producer code.

not_requested

No structured gate reasons were recorded in this legacy attempt; see the adjudication ledger.

Original model outcome

progress

Public classification

progress

• Certified forced-link proofs in covering designs -> literal links need a complete lifting map before orbit leaves can support a global exclusion -> the maintained 55-cover passed the exact projection/lift control, but global frontier completeness remains untested.

• Both tested source-cover point-link projections lift exactly and reconstruct all global pair multiplicities.
  result.json and independent-check.json · roots 1 and 15 of sources/ljcr-c1553-55.txt · computed
• The two tested ordinary links are isomorphic and all three displayed link controls are asymmetric under their degree-color-preserving point groups.
  two canonical implementations and relabeling controls · three displayed positive controls · computed

• Treat a positive-control link or special-star census as a globally complete exclusion partition.
  Any future point-link frontier work lacking an explicit literal lifting map and global pair-excess scope. · Local degree-colored links forget global pair-excess data away from the root; this gate validates representation only on two known source projections. · protocol scope and exact lift audit · A complete link census plus extension instances that explicitly leave every global skeleton free or partition all skeleton cases, with replayed proofs.

• Complete special-star frontier bin.
  It directly measures whether the certified link-census route is capacity-feasible. · Enumerate the smallest q bin with canonical representatives and orbit accounting. · high · open
• Hamming-radius exact-pair repair.
  A materially distinct constructive route could produce a seed without classifying links. · Run exact radius-two repair on fixed predeclared low-defect states. · normal · open
• Literal refinement of the 395 type-4 signatures.
  It may eliminate complete pair-normalized profile classes using information absent from aggregate margins. · Evaluate one literal pair-identity filter on all saved signatures. · normal · open

Objective: Measure the smallest complete special-star frontier bin.

First action: Implement the incremental 14-bit/91-bit q-bin generator and emit every retained representative with stabilizer data.

Stop condition: Canonicalizer disagreement, orbit-accounting mismatch, incomplete coverage, or more than 120 representatives.

• Implement incremental special-star enumeration with 14-bit point and 91-bit pair masks.
• Complete the smallest q bin and retain every canonical representative.
• Require dreadnaut/refinement agreement and a third labelled orbit-stabilizer count; stop above 120 representatives.

• https://www.coveringrepository.com/systems.aspx?k=5&t=3&m=-1 ↗
• https://ljcr.dmgordon.org/cover/show_cover.php?k=5&t=3&v=15 ↗
• https://arxiv.org/abs/2607.23766 ↗

GPT-5.6 Sol principal selected, implemented, executed, independently audited, and interpreted the epoch. GPT-5.6 Terra challenger-prior-art and experiment-verification delegates supplied advisory design memos; Sol promoted their provenance and did not treat model agreement as validation. Deterministic Python 3.12.3, dreadnaut/nauty 2.8.8+ds-5, custom tuple/bit-mask/refinement code, SHA-256, and bounded official-source access were used. No SAT solver, CAS, proof assistant, lab job, or UNSAT proof checker was used in this epoch.; orchestration: gpt-5.6-sol principal with gpt-5.6-terra delegates.

Duration

1080.5s

Review state

not a result claim

Attempt ID

covering-c1553-20260809-073938-1c70ca

No human review recorded.