{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CVXGG3CVF6F2FD3FKSA6VB6NFN","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":"e65d1aada34b8442b9c60335440b8cb57483b531395f8aafa050528bbe610577","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2006-11-16T15:52:24Z","title_canon_sha256":"d91d61beece4e4d75103cbd83e5b4d4f09785d0291dca5a5ba4b27664335d46a"},"schema_version":"1.0","source":{"id":"math/0611504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611504","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611504v1","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611504","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"CVXGG3CVF6F2","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CVXGG3CVF6F2FD3F","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CVXGG3CV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:37918c83ab12b8130d58e21321b7a4a8a2796befb5f968d2c85e7fde05c2b890","target":"graph","created_at":"2026-05-18T02:41:26Z","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 construct a new family, indexed by the odd integers $N\\geq 1$, of $(2+1)$-dimensional quantum field theories called {\\it quantum hyperbolic field theories} (QHFT), and we study its main structural properties. The QHFT are defined for (marked) $(2+1)$-bordisms supported by compact oriented 3-manifolds $Y$ with a properly embedded framed tangle $L_\\Ff$ and an {\\it arbitrary} $PSL(2,\\C)$-character $\\rho$ of $Y \\setminus L_\\Ff$ (covering, for example, the case of hyperbolic cone manifolds). The marking of QHFT bordisms includes a specific set of parameters for the space of pleated hyperbolic st","authors_text":"Riccardo Benedetti, Stephane Baseilhac","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2006-11-16T15:52:24Z","title":"Quantum hyperbolic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611504","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":"sha256:58ced379a41be05a7e84dc2b1c2843849f63c543d2f69f2ca7c9446d37eec0bc","target":"record","created_at":"2026-05-18T02:41:26Z","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":"e65d1aada34b8442b9c60335440b8cb57483b531395f8aafa050528bbe610577","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2006-11-16T15:52:24Z","title_canon_sha256":"d91d61beece4e4d75103cbd83e5b4d4f09785d0291dca5a5ba4b27664335d46a"},"schema_version":"1.0","source":{"id":"math/0611504","kind":"arxiv","version":1}},"canonical_sha256":"156e636c552f8ba28f655481ea87cd2b7e8e84dd99f11a7274ebb7a4d89891dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"156e636c552f8ba28f655481ea87cd2b7e8e84dd99f11a7274ebb7a4d89891dd","first_computed_at":"2026-05-18T02:41:26.695093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:26.695093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bA+Q2tVb1WaRjmuOBKNKhmEHshra+uUhqw46Bs2vERSo/2smUhScc5cdl9iGs+OrCUZ8UP1Eo3SS04ZxvD62Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:26.695682Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58ced379a41be05a7e84dc2b1c2843849f63c543d2f69f2ca7c9446d37eec0bc","sha256:37918c83ab12b8130d58e21321b7a4a8a2796befb5f968d2c85e7fde05c2b890"],"state_sha256":"026f6e7e8ed3eb2a03d4212ff06667a258a35a78cc5d65d7d42f1c513a3fa026"}