{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QL3WEPTUEEZTIOSDBV5JSL7FC4","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":"003747db25f1f532f1cb48d676027227ee87f2c04802e28036cedcc78c37ba9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-09-30T06:39:44Z","title_canon_sha256":"578a77dfcf3360cabe4c7d79961d1a61b4237aa65edac4558407550178d8f61c"},"schema_version":"1.0","source":{"id":"0809.5118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.5118","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"0809.5118v1","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.5118","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"QL3WEPTUEEZT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"QL3WEPTUEEZTIOSD","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"QL3WEPTU","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:3094ee9199c4a4c1697368ca19963797389b6482ce6bbabbd27828feebe795c5","target":"graph","created_at":"2026-05-18T02:41:51Z","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 prove that for the torus with one hole and p greater than or equal to 1 punctures and the sphere with four holes there is a family of quantum trace functions in the quantum Teichm\\\"uller space, analog to the non-quantum trace functions in Teichm\\\"uller space, satisfying the properties proposed by Chekhov and Fock in their paper \"Observables in 3D Gravity and Geodesic Algebras.\"","authors_text":"Chris Hiatt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-09-30T06:39:44Z","title":"Quantum Traces in Quantum Teichm\\\"uller Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.5118","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":"sha256:0d9f4a5d064f621b7be6fbf4587ff39c3faad458857d9e633f713e8bf5cfda16","target":"record","created_at":"2026-05-18T02:41:51Z","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":"003747db25f1f532f1cb48d676027227ee87f2c04802e28036cedcc78c37ba9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-09-30T06:39:44Z","title_canon_sha256":"578a77dfcf3360cabe4c7d79961d1a61b4237aa65edac4558407550178d8f61c"},"schema_version":"1.0","source":{"id":"0809.5118","kind":"arxiv","version":1}},"canonical_sha256":"82f7623e742133343a430d7a992fe5172ce6d6221145b86e2a729335987c955c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82f7623e742133343a430d7a992fe5172ce6d6221145b86e2a729335987c955c","first_computed_at":"2026-05-18T02:41:51.476222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:51.476222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zL/9ElAzBrJUU25+DC0MxhBiZ1x9Lz5qH11nhbN6ITbxGvoPevCbQu1xXEVjyxj7aRrSUdFF14+U+uU3SNOVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:51.476693Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.5118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d9f4a5d064f621b7be6fbf4587ff39c3faad458857d9e633f713e8bf5cfda16","sha256:3094ee9199c4a4c1697368ca19963797389b6482ce6bbabbd27828feebe795c5"],"state_sha256":"c5c0d13e5f0e27f7b4236eeaf880a818c37a0cabe2c214a14ac8b5c74f0dcc73"}