{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3GYBUOKDQH44YK32SQK3NJ7EFM","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":"be4243b0cb16247dc38af9703de964754ea8d7f519320696897e3b07b65ae20a","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-23T21:00:02Z","title_canon_sha256":"b45aba97900b69c84a3d8ceb951352aeab4cbb05852ea43dc3b9d10e060b0948"},"schema_version":"1.0","source":{"id":"1102.4847","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4847","created_at":"2026-05-18T02:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4847v3","created_at":"2026-05-18T02:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4847","created_at":"2026-05-18T02:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"3GYBUOKDQH44","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3GYBUOKDQH44YK32","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3GYBUOKD","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:1e47fb3bd2b802806ecb6642323eab8940de5955c2516590a9b7ec77044c04ed","target":"graph","created_at":"2026-05-18T02:22:31Z","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"},"paper":{"abstract_excerpt":"We construct from first principles the operator 'A-hat' that annihilates the partition functions (or wavefunctions) of three-dimensional Chern-Simons theory with gauge groups SU(2), SL(2,R), or SL(2,C) on a knot complement M. The operator 'A-hat' is a quantization of the knot complement's classical A-polynomial A(l,m). The construction proceeds by decomposing three-manifolds into ideal tetrahedra, and invoking a new, more global understanding of gluing in TQFT to put them back together. We advocate in particular that, properly interpreted, \"gluing = symplectic reduction.\" We also arrive at a n","authors_text":"Tudor Dimofte","cross_cats":["math.GT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-23T21:00:02Z","title":"Quantum Riemann Surfaces in Chern-Simons Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4847","kind":"arxiv","version":3},"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":"sha256:47293a931e3a08d46b9cb1ef32e11c23f51d22c33c141d0cf8e458af1fc8a40f","target":"record","created_at":"2026-05-18T02:22:31Z","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":"be4243b0cb16247dc38af9703de964754ea8d7f519320696897e3b07b65ae20a","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-23T21:00:02Z","title_canon_sha256":"b45aba97900b69c84a3d8ceb951352aeab4cbb05852ea43dc3b9d10e060b0948"},"schema_version":"1.0","source":{"id":"1102.4847","kind":"arxiv","version":3}},"canonical_sha256":"d9b01a394381f9cc2b7a9415b6a7e42b3a0779fb4b69fefd6f5d42b6878605a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9b01a394381f9cc2b7a9415b6a7e42b3a0779fb4b69fefd6f5d42b6878605a7","first_computed_at":"2026-05-18T02:22:31.248639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:31.248639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1zwSrr4zrJlvoT1nmKbY+AsRXedz0kPcMuTXz5NyypWBdKqsWTmXHjokVlVdd8EU1g0CXX/zpKEq9VzRPnZSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:31.249353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4847","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47293a931e3a08d46b9cb1ef32e11c23f51d22c33c141d0cf8e458af1fc8a40f","sha256:1e47fb3bd2b802806ecb6642323eab8940de5955c2516590a9b7ec77044c04ed"],"state_sha256":"f1b02c9865a2d0e24ac5d56a0b44f10743ccf9eecbbdbcb8ea189bf20649eb17"}