{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:TFTSDHLL3Y73BILTXNNWA5A5IC","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":"8149335f320877ed59a33b06f3312803ce3b8e40b32d1940d31e2b0cc2ff9a23","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2003-06-15T17:12:51Z","title_canon_sha256":"91450c5feb079c8012975bbdc3e867a24f7a1813949977ac0c4038e3db53c0d4"},"schema_version":"1.0","source":{"id":"math/0306230","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0306230","created_at":"2026-07-04T14:37:31Z"},{"alias_kind":"arxiv_version","alias_value":"math/0306230v4","created_at":"2026-07-04T14:37:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0306230","created_at":"2026-07-04T14:37:31Z"},{"alias_kind":"pith_short_12","alias_value":"TFTSDHLL3Y73","created_at":"2026-07-04T14:37:31Z"},{"alias_kind":"pith_short_16","alias_value":"TFTSDHLL3Y73BILT","created_at":"2026-07-04T14:37:31Z"},{"alias_kind":"pith_short_8","alias_value":"TFTSDHLL","created_at":"2026-07-04T14:37:31Z"}],"graph_snapshots":[{"event_id":"sha256:05e615a601e002bcf046eb9128c5bd5cd91e2f0c1d1a18354fbf54134d4b2786","target":"graph","created_at":"2026-07-04T14:37:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0306230/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The colored Jones function of a knot is a sequence of Laurent polynomials in one variable, whose n-th term is the Jones polynomial of the knot colored with the n-dimensional irreducible representation of SL(2). It was recently shown by TTQ Le and the author that the colored Jones function of a knot is q-holonomic, ie, that it satisfies a nontrivial linear recursion relation with appropriate coefficients. Using holonomicity, we introduce a geometric invariant of a knot: the characteristic variety, an affine 1-dimensional variety in C^2. We then compare it with the character variety of SL_2(C) r","authors_text":"Stavros Garoufalidis","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2003-06-15T17:12:51Z","title":"On the characteristic and deformation varieties of a knot"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0306230","kind":"arxiv","version":4},"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":"sha256:1f4e15db99347119738a7ed3bb3e238651edf1aec5b6238c250a9dbf3ecf013d","target":"record","created_at":"2026-07-04T14:37:31Z","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":"8149335f320877ed59a33b06f3312803ce3b8e40b32d1940d31e2b0cc2ff9a23","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2003-06-15T17:12:51Z","title_canon_sha256":"91450c5feb079c8012975bbdc3e867a24f7a1813949977ac0c4038e3db53c0d4"},"schema_version":"1.0","source":{"id":"math/0306230","kind":"arxiv","version":4}},"canonical_sha256":"9967219d6bde3fb0a173bb5b60741d4085d676918b7642a089958454b90b3393","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9967219d6bde3fb0a173bb5b60741d4085d676918b7642a089958454b90b3393","first_computed_at":"2026-07-04T14:37:31.757724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:31.757724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x7DhXK42piyFcbLmIILTx6oPWIlWX9ajGsD14xpb7h3rU/9X202ohMwsB/FmUFBNNeThjSkdfB6pScpcO+8zCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:31.758137Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0306230","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f4e15db99347119738a7ed3bb3e238651edf1aec5b6238c250a9dbf3ecf013d","sha256:05e615a601e002bcf046eb9128c5bd5cd91e2f0c1d1a18354fbf54134d4b2786"],"state_sha256":"4bda12c5ace162031bb8c229dab23b686f0b03d2386ff900b87662bcb573c7a4"}