{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:OCGCW542IDYUTNRVWG7R4W5B2A","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":"f11f7f88897d0815991d09f447fba3f3635d8715651e1b1cf2dbb0bdac4e1c95","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-11T21:38:03Z","title_canon_sha256":"c703c92d744ae63cfcf6d1f8a83b6661bea5bba201233af4b295dc5a80ae2d7c"},"schema_version":"1.0","source":{"id":"hep-th/0211098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211098","created_at":"2026-07-04T16:34:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211098v1","created_at":"2026-07-04T16:34:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211098","created_at":"2026-07-04T16:34:57Z"},{"alias_kind":"pith_short_12","alias_value":"OCGCW542IDYU","created_at":"2026-07-04T16:34:57Z"},{"alias_kind":"pith_short_16","alias_value":"OCGCW542IDYUTNRV","created_at":"2026-07-04T16:34:57Z"},{"alias_kind":"pith_short_8","alias_value":"OCGCW542","created_at":"2026-07-04T16:34:57Z"}],"graph_snapshots":[{"event_id":"sha256:4c1f73296a119743c5d86270a4164a4702e08c37d8ae3dc4d7d549fcdce7c6ed","target":"graph","created_at":"2026-07-04T16:34:57Z","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/hep-th/0211098/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of Chern-Simons theory. Moreover, large N dualities in this context lead to computation of all genus A-model topological amplitudes on toric Calabi-Yau manifolds in terms of matrix integrals. In the context of type IIA superstring compactifications on these Calabi-Yau manifolds with wrapped D6 branes (which are dual to M-","authors_text":"Albrecht Klemm, Cumrun Vafa, Marcos Marino, Mina Aganagic","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-11-11T21:38:03Z","title":"Matrix Model as a Mirror of Chern-Simons Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211098","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":"sha256:3b23ee9a20167f61a1ea5219f142fdf2581a3bf300d6716c9f585a4e31d5039c","target":"record","created_at":"2026-07-04T16:34:57Z","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":"f11f7f88897d0815991d09f447fba3f3635d8715651e1b1cf2dbb0bdac4e1c95","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-11T21:38:03Z","title_canon_sha256":"c703c92d744ae63cfcf6d1f8a83b6661bea5bba201233af4b295dc5a80ae2d7c"},"schema_version":"1.0","source":{"id":"hep-th/0211098","kind":"arxiv","version":1}},"canonical_sha256":"708c2b779a40f149b635b1bf1e5ba1d0395837f72865f003ce13ceef03ed2838","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"708c2b779a40f149b635b1bf1e5ba1d0395837f72865f003ce13ceef03ed2838","first_computed_at":"2026-07-04T16:34:57.703330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:57.703330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kQGSJhom+61xVo59Kml2e3K4e+wVUuePaq3hvW8XxR/z8nYA/JfieRPzMQ6BDHgyH4Gp4HNB5YH1GsAUfdZ4CA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:57.703751Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0211098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b23ee9a20167f61a1ea5219f142fdf2581a3bf300d6716c9f585a4e31d5039c","sha256:4c1f73296a119743c5d86270a4164a4702e08c37d8ae3dc4d7d549fcdce7c6ed"],"state_sha256":"9691f93f8478b5fd29ef03c0668679e7ef833fd98eec80ccb6cb6c8bccd490c5"}