{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:XNBJXGILRLB4XXQHVSTVDJ527T","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":"16857b2dcfa0b92865021d5b49197b4124c3e7cbbb97d1c2884a0a9f7bde050a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T11:36:04Z","title_canon_sha256":"7a5a50ee7748a4ce845bb8fda721e39b2d3cfc7c66f0ea0968f72d23f43df97e"},"schema_version":"1.0","source":{"id":"hep-th/0310287","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310287","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310287v5","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310287","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"XNBJXGILRLB4","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"XNBJXGILRLB4XXQH","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"XNBJXGIL","created_at":"2026-07-04T14:32:09Z"}],"graph_snapshots":[{"event_id":"sha256:b7098ba542de0dfce8a4855abb344c5f4cd530f056032b293151c61e1a350851","target":"graph","created_at":"2026-07-04T14:32:09Z","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/0310287/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and the W-infinity model, which have different origins but are equivalent to each other. In the final section, which is new material, it is shown that these models are also equivalent to a Liouville matrix model. We speculate that this might be interpreted in terms of N D-instantons of the c=1 string.","authors_text":"Sunil Mukhi (Tata Institute)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T11:36:04Z","title":"Topological Matrix Models, Liouville Matrix Model and c=1 String Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310287","kind":"arxiv","version":5},"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":"sha256:191015dd29ae6f8a8232241b77653fc2ce8cbfa5d0b87e6669bf7ea857d33019","target":"record","created_at":"2026-07-04T14:32:09Z","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":"16857b2dcfa0b92865021d5b49197b4124c3e7cbbb97d1c2884a0a9f7bde050a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-31T11:36:04Z","title_canon_sha256":"7a5a50ee7748a4ce845bb8fda721e39b2d3cfc7c66f0ea0968f72d23f43df97e"},"schema_version":"1.0","source":{"id":"hep-th/0310287","kind":"arxiv","version":5}},"canonical_sha256":"bb429b990b8ac3cbde07aca751a7bafce0191d7d63ad4524f0921d418d43e2d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb429b990b8ac3cbde07aca751a7bafce0191d7d63ad4524f0921d418d43e2d9","first_computed_at":"2026-07-04T14:32:09.447372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:09.447372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o/rPZWmjV5+dEkBZ8SEOcnZNje2+nJeUSn0kaNZnlWLgan8L+5X0gqR2TMAdiSPGv+oWIbvAHCkAaQD+c+CEBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:09.447811Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0310287","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:191015dd29ae6f8a8232241b77653fc2ce8cbfa5d0b87e6669bf7ea857d33019","sha256:b7098ba542de0dfce8a4855abb344c5f4cd530f056032b293151c61e1a350851"],"state_sha256":"3af60b7a175e91782e3731dd88a3257ba57449e3156581d6db3d8c673c1aee15"}