{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:YF7LFGBFCTXK6NB7QPKX73OZW2","short_pith_number":"pith:YF7LFGBF","canonical_record":{"source":{"id":"math/0411505","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2004-11-23T10:29:39Z","cross_cats_sorted":["hep-th","math.GT"],"title_canon_sha256":"65f533fdf75691fd287733add52ee9cdbfcd5feefcf56a40898a22ffe2905d00","abstract_canon_sha256":"c1daa47765dfe2dbc4dc32079ffebd76813b8944c9967d1caab509763bf12e5e"},"schema_version":"1.0"},"canonical_sha256":"c17eb2982514eeaf343f83d57fedd9b686be5585cf25acedf0068448e4ef16ca","source":{"kind":"arxiv","id":"math/0411505","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411505","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411505v2","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411505","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"YF7LFGBFCTXK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"YF7LFGBFCTXK6NB7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"YF7LFGBF","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:YF7LFGBFCTXK6NB7QPKX73OZW2","target":"record","payload":{"canonical_record":{"source":{"id":"math/0411505","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2004-11-23T10:29:39Z","cross_cats_sorted":["hep-th","math.GT"],"title_canon_sha256":"65f533fdf75691fd287733add52ee9cdbfcd5feefcf56a40898a22ffe2905d00","abstract_canon_sha256":"c1daa47765dfe2dbc4dc32079ffebd76813b8944c9967d1caab509763bf12e5e"},"schema_version":"1.0"},"canonical_sha256":"c17eb2982514eeaf343f83d57fedd9b686be5585cf25acedf0068448e4ef16ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:25.606307Z","signature_b64":"GZBFk9YN2Kfcx0X3rkF3naq+XVFrXSdBJ0Mmnr/ckTNg7wv8isMVrNX9XlOoyPrYWfneJFxWQNfncqWhMabbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c17eb2982514eeaf343f83d57fedd9b686be5585cf25acedf0068448e4ef16ca","last_reissued_at":"2026-05-18T01:05:25.605669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:25.605669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0411505","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NYYLB1qzpzb26W4kEeZ0SmRhrbjGit2S9S9IhGqYIyiKKERPfcsmMsLEL3hTSiE6WcRlF6NElLBZq5oFfKRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:34:05.461671Z"},"content_sha256":"b9f977013d55687e1ad105084dc2a8d508f31871ffbf3c84a6291fbd0bc5a219","schema_version":"1.0","event_id":"sha256:b9f977013d55687e1ad105084dc2a8d508f31871ffbf3c84a6291fbd0bc5a219"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:YF7LFGBFCTXK6NB7QPKX73OZW2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A non-commutative formula for the colored Jones function","license":"","headline":"","cross_cats":["hep-th","math.GT"],"primary_cat":"math.QA","authors_text":"Martin Loebl, Stavros Garoufalidis","submitted_at":"2004-11-23T10:29:39Z","abstract_excerpt":"The colored Jones function of a knot is a sequence of Laurent polynomials that encodes the Jones polynomial of a knot and its parallels. It has been understood in terms of representations of quantum groups and Witten gave an intrinsic quantum field theory interpretation of the colored Jones function as the expectation value of Wilson loops of a 3-dimensional gauge theory, the Chern-Simons theory. We present the colored Jones function as an evaluation of the inverse of a non-commutative fermionic partition function. This result is in the form familiar in quantum field theory, namely the inverse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411505","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H5JN0PtgEhsmsyLvwZJozfODBiv+WUoPdINMuagbLy4JnrOjGq4tdwNMo7Kl9xN6iMMUBk3/shvHbg9RoabLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:34:05.462022Z"},"content_sha256":"0e7835a9b0e11691512c29cfa64b83d2b3c4f4b35e7ad708ff8e3f888fb1e282","schema_version":"1.0","event_id":"sha256:0e7835a9b0e11691512c29cfa64b83d2b3c4f4b35e7ad708ff8e3f888fb1e282"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/bundle.json","state_url":"https://pith.science/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T19:34:05Z","links":{"resolver":"https://pith.science/pith/YF7LFGBFCTXK6NB7QPKX73OZW2","bundle":"https://pith.science/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/bundle.json","state":"https://pith.science/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YF7LFGBFCTXK6NB7QPKX73OZW2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:YF7LFGBFCTXK6NB7QPKX73OZW2","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":"c1daa47765dfe2dbc4dc32079ffebd76813b8944c9967d1caab509763bf12e5e","cross_cats_sorted":["hep-th","math.GT"],"license":"","primary_cat":"math.QA","submitted_at":"2004-11-23T10:29:39Z","title_canon_sha256":"65f533fdf75691fd287733add52ee9cdbfcd5feefcf56a40898a22ffe2905d00"},"schema_version":"1.0","source":{"id":"math/0411505","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411505","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411505v2","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411505","created_at":"2026-05-18T01:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"YF7LFGBFCTXK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"YF7LFGBFCTXK6NB7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"YF7LFGBF","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0e7835a9b0e11691512c29cfa64b83d2b3c4f4b35e7ad708ff8e3f888fb1e282","target":"graph","created_at":"2026-05-18T01:05:25Z","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":"The colored Jones function of a knot is a sequence of Laurent polynomials that encodes the Jones polynomial of a knot and its parallels. It has been understood in terms of representations of quantum groups and Witten gave an intrinsic quantum field theory interpretation of the colored Jones function as the expectation value of Wilson loops of a 3-dimensional gauge theory, the Chern-Simons theory. We present the colored Jones function as an evaluation of the inverse of a non-commutative fermionic partition function. This result is in the form familiar in quantum field theory, namely the inverse","authors_text":"Martin Loebl, Stavros Garoufalidis","cross_cats":["hep-th","math.GT"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2004-11-23T10:29:39Z","title":"A non-commutative formula for the colored Jones function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411505","kind":"arxiv","version":2},"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:b9f977013d55687e1ad105084dc2a8d508f31871ffbf3c84a6291fbd0bc5a219","target":"record","created_at":"2026-05-18T01:05:25Z","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":"c1daa47765dfe2dbc4dc32079ffebd76813b8944c9967d1caab509763bf12e5e","cross_cats_sorted":["hep-th","math.GT"],"license":"","primary_cat":"math.QA","submitted_at":"2004-11-23T10:29:39Z","title_canon_sha256":"65f533fdf75691fd287733add52ee9cdbfcd5feefcf56a40898a22ffe2905d00"},"schema_version":"1.0","source":{"id":"math/0411505","kind":"arxiv","version":2}},"canonical_sha256":"c17eb2982514eeaf343f83d57fedd9b686be5585cf25acedf0068448e4ef16ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c17eb2982514eeaf343f83d57fedd9b686be5585cf25acedf0068448e4ef16ca","first_computed_at":"2026-05-18T01:05:25.605669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:25.605669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GZBFk9YN2Kfcx0X3rkF3naq+XVFrXSdBJ0Mmnr/ckTNg7wv8isMVrNX9XlOoyPrYWfneJFxWQNfncqWhMabbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:25.606307Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0411505","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9f977013d55687e1ad105084dc2a8d508f31871ffbf3c84a6291fbd0bc5a219","sha256:0e7835a9b0e11691512c29cfa64b83d2b3c4f4b35e7ad708ff8e3f888fb1e282"],"state_sha256":"6242a2584f8aa74e07176cb6461bd0e565146ad4cd7e6c4d4fe9b2474b6684d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jrsKcaxaIpNalklw+Gfjj/EkZfdhi9XU2nx2d3ySDzdtU8kPcM7dm11B3F/NPv27aXZtymxTB6YmG1iJP1ZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:34:05.464214Z","bundle_sha256":"60838750a4320e7558a4f9aa8984113e22e633a1d4ad0e5fd230e96db7f5ce84"}}