{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AQ2TDSNFOH7JL2XUFUJRBDXCS2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"31b3fa51b4220d24fd306ce98baa664df5072b143a3248306e6816c0d9a0499a","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-10T19:47:22Z","title_canon_sha256":"5797766ad4369937a2351e021439b90d3c701100027a4db8d59ea694ac3ab3bb"},"schema_version":"1.0","source":{"id":"1610.03043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03043","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03043v1","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03043","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"AQ2TDSNFOH7J","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AQ2TDSNFOH7JL2XU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AQ2TDSNF","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:f18bb0d006dd71fc590087e1682f55c6f0da43d17a61d127f7774c4cf7158a59","target":"graph","created_at":"2026-05-18T00:18:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We connect two important conjectures in the theory of knot polynomials. The first one is the property Al_R(q) = Al_{[1]}(q^{|R|}) for all single hook Young diagrams R, which is known to hold for all knots. The second conjecture claims that all the mixing matrices U_{i} in the relation {\\cal R}_i = U_i{\\cal R}_1U_i^{-1} between the i-th and the first generators {\\cal R}_i of the braid group are universally expressible through the eigenvalues of {\\cal R}_1. Since the above property of Alexander polynomials is very well tested, this relation provides a new support to the eigenvalue conjecture, es","authors_text":"A. Mironov, A. Morozov","cross_cats":["math.GT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-10T19:47:22Z","title":"Eigenvalue conjecture and colored Alexander polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03043","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:17991487fcf1e9e52ff2a9016933c9a2d0ac046924dcbdbd4ccbaac74fe3824b","target":"record","created_at":"2026-05-18T00:18:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"31b3fa51b4220d24fd306ce98baa664df5072b143a3248306e6816c0d9a0499a","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-10T19:47:22Z","title_canon_sha256":"5797766ad4369937a2351e021439b90d3c701100027a4db8d59ea694ac3ab3bb"},"schema_version":"1.0","source":{"id":"1610.03043","kind":"arxiv","version":1}},"canonical_sha256":"043531c9a571fe95eaf42d13108ee296a1b7a9cb97ac95c1af7f15d93b0f21ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"043531c9a571fe95eaf42d13108ee296a1b7a9cb97ac95c1af7f15d93b0f21ac","first_computed_at":"2026-05-18T00:18:57.167643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:57.167643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1nfWRTFvze6yS0PQd9SxA31TdpqpUGfgt2NcErXobgFYWjS+7n2pVp8Ut2HyucZZPr/Fywpmmj5OzKOtvFQgBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:57.168074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17991487fcf1e9e52ff2a9016933c9a2d0ac046924dcbdbd4ccbaac74fe3824b","sha256:f18bb0d006dd71fc590087e1682f55c6f0da43d17a61d127f7774c4cf7158a59"],"state_sha256":"5cb4606ecf1e33ff305bdde7bfa1246b877e974422e2aa0b5ee65a9aca9d8ae8"}