{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:GMQO7IQ32N37O25UMPXV2WT74A","short_pith_number":"pith:GMQO7IQ3","canonical_record":{"source":{"id":"hep-th/9304011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-05T14:07:08Z","cross_cats_sorted":[],"title_canon_sha256":"3b1c7af04025fa3609d10f4579645939dc3621dc3a3d80ba976f9262383088fe","abstract_canon_sha256":"581173634a79f57b670856fb3f394e30f3f34ddd37700153a28d9809a1e8ce72"},"schema_version":"1.0"},"canonical_sha256":"3320efa21bd377f76bb463ef5d5a7fe004784a6791f8cf02dcc997e9fa4babd9","source":{"kind":"arxiv","id":"hep-th/9304011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304011","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304011v1","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304011","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"GMQO7IQ32N37","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"GMQO7IQ32N37O25U","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"GMQO7IQ3","created_at":"2026-07-04T14:32:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:GMQO7IQ32N37O25UMPXV2WT74A","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9304011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-05T14:07:08Z","cross_cats_sorted":[],"title_canon_sha256":"3b1c7af04025fa3609d10f4579645939dc3621dc3a3d80ba976f9262383088fe","abstract_canon_sha256":"581173634a79f57b670856fb3f394e30f3f34ddd37700153a28d9809a1e8ce72"},"schema_version":"1.0"},"canonical_sha256":"3320efa21bd377f76bb463ef5d5a7fe004784a6791f8cf02dcc997e9fa4babd9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:36.731976Z","signature_b64":"6t8N3zc9xwtqIBUrsVKH4/n27o1sf0ZzPbqp2BgJoPuO0z2/4FsGwQFe8HhMISuRxQ3VBmbUTdrLdf1Rg38WDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3320efa21bd377f76bb463ef5d5a7fe004784a6791f8cf02dcc997e9fa4babd9","last_reissued_at":"2026-07-04T14:32:36.731636Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:36.731636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9304011","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oNRlWY7jUxIn2oRAmPGczephCKk5zWb7sOtBexy02ytBm63mlGd473MMWBFOHAGPQE7Wh/mQJ+I9uysg5mA+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:15:28.707590Z"},"content_sha256":"670fff559116da09e2bfdfd192e4dca3cd84cdb0f021076c97204c955c593ad7","schema_version":"1.0","event_id":"sha256:670fff559116da09e2bfdfd192e4dca3cd84cdb0f021076c97204c955c593ad7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:GMQO7IQ32N37O25UMPXV2WT74A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lectures on 2D gravity and 2D string theory (TASI 1992)","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gregory Moore, P. Ginsparg","submitted_at":"1993-04-05T14:07:08Z","abstract_excerpt":"Emphasis is on 2d target space (c=1 coupled to gravity).\n  Contents:\n  0. Introduction, Overview, and Purpose\n  1. Loops and States in Conformal Field Theory\n  2. 2D Euclidean Quantum Gravity I: Path Integral Approach\n  3. Brief Review of the Liouville Theory\n  4. 2D Euclidean Quantum Gravity II: Canonical Approach\n  5. 2D Critical String Theory\n  6. Discretized surfaces, matrix models, and the continuum limit\n  7. Matrix Model Technology I: Method of Orthogonal Polynomials\n  8. Matrix Model Technology II: Loops on the Lattice\n  9. Matrix Model Technology III: Free Fermions from the Lattice\n  "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304011","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9304011/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7M2sn4FAmu4yKNzBNdAcHTxLl6ctEBnV7mvmBTQfG6zfV480HHkvHB51/dnUcbKw/Xhf7PVmI0cRlUmEKUCRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:15:28.707928Z"},"content_sha256":"f86f2cde9de6b0dee4f7f88142b44a600305aa64da64422635f386b0b9449802","schema_version":"1.0","event_id":"sha256:f86f2cde9de6b0dee4f7f88142b44a600305aa64da64422635f386b0b9449802"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMQO7IQ32N37O25UMPXV2WT74A/bundle.json","state_url":"https://pith.science/pith/GMQO7IQ32N37O25UMPXV2WT74A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMQO7IQ32N37O25UMPXV2WT74A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T05:15:28Z","links":{"resolver":"https://pith.science/pith/GMQO7IQ32N37O25UMPXV2WT74A","bundle":"https://pith.science/pith/GMQO7IQ32N37O25UMPXV2WT74A/bundle.json","state":"https://pith.science/pith/GMQO7IQ32N37O25UMPXV2WT74A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMQO7IQ32N37O25UMPXV2WT74A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:GMQO7IQ32N37O25UMPXV2WT74A","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":"581173634a79f57b670856fb3f394e30f3f34ddd37700153a28d9809a1e8ce72","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-05T14:07:08Z","title_canon_sha256":"3b1c7af04025fa3609d10f4579645939dc3621dc3a3d80ba976f9262383088fe"},"schema_version":"1.0","source":{"id":"hep-th/9304011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304011","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304011v1","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304011","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"GMQO7IQ32N37","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"GMQO7IQ32N37O25U","created_at":"2026-07-04T14:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"GMQO7IQ3","created_at":"2026-07-04T14:32:36Z"}],"graph_snapshots":[{"event_id":"sha256:f86f2cde9de6b0dee4f7f88142b44a600305aa64da64422635f386b0b9449802","target":"graph","created_at":"2026-07-04T14:32:36Z","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/9304011/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Emphasis is on 2d target space (c=1 coupled to gravity).\n  Contents:\n  0. Introduction, Overview, and Purpose\n  1. Loops and States in Conformal Field Theory\n  2. 2D Euclidean Quantum Gravity I: Path Integral Approach\n  3. Brief Review of the Liouville Theory\n  4. 2D Euclidean Quantum Gravity II: Canonical Approach\n  5. 2D Critical String Theory\n  6. Discretized surfaces, matrix models, and the continuum limit\n  7. Matrix Model Technology I: Method of Orthogonal Polynomials\n  8. Matrix Model Technology II: Loops on the Lattice\n  9. Matrix Model Technology III: Free Fermions from the Lattice\n  ","authors_text":"Gregory Moore, P. Ginsparg","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-04-05T14:07:08Z","title":"Lectures on 2D gravity and 2D string theory (TASI 1992)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304011","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":"sha256:670fff559116da09e2bfdfd192e4dca3cd84cdb0f021076c97204c955c593ad7","target":"record","created_at":"2026-07-04T14:32:36Z","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":"581173634a79f57b670856fb3f394e30f3f34ddd37700153a28d9809a1e8ce72","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-05T14:07:08Z","title_canon_sha256":"3b1c7af04025fa3609d10f4579645939dc3621dc3a3d80ba976f9262383088fe"},"schema_version":"1.0","source":{"id":"hep-th/9304011","kind":"arxiv","version":1}},"canonical_sha256":"3320efa21bd377f76bb463ef5d5a7fe004784a6791f8cf02dcc997e9fa4babd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3320efa21bd377f76bb463ef5d5a7fe004784a6791f8cf02dcc997e9fa4babd9","first_computed_at":"2026-07-04T14:32:36.731636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:36.731636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6t8N3zc9xwtqIBUrsVKH4/n27o1sf0ZzPbqp2BgJoPuO0z2/4FsGwQFe8HhMISuRxQ3VBmbUTdrLdf1Rg38WDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:36.731976Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9304011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:670fff559116da09e2bfdfd192e4dca3cd84cdb0f021076c97204c955c593ad7","sha256:f86f2cde9de6b0dee4f7f88142b44a600305aa64da64422635f386b0b9449802"],"state_sha256":"d1ee456615274f5669829ad1bbbb91db6952e96b2277aa3f194576bac5612818"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8GpmsvD+V3GUJvEJxBrl4XvxFfmTXW7iPEy3a+TFxMySuqxvUfnvc39f6oZ4Js/sTYPbinpIcv/rP0UbXfx1BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T05:15:28.710166Z","bundle_sha256":"90a6b692fa51c03d0223969d9ec3cee02574109c9e0de3591e521316973bf219"}}