{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:HT6LLSV3QJSNHGAJTPIOUUAJDJ","short_pith_number":"pith:HT6LLSV3","canonical_record":{"source":{"id":"hep-th/0312170","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-15T20:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"9867114827bbe4818d303977875cb8c9b810d2340a5f1e9b6330326227cc73e6","abstract_canon_sha256":"c53558d8a3dd551c4b429be08b437ea236a84400d4ea973d8b871bc400cd6d18"},"schema_version":"1.0"},"canonical_sha256":"3cfcb5cabb8264d398099bd0ea50091a60aca8623f9229262178fc20554d16af","source":{"kind":"arxiv","id":"hep-th/0312170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312170","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312170v2","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312170","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"HT6LLSV3QJSN","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_16","alias_value":"HT6LLSV3QJSNHGAJ","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_8","alias_value":"HT6LLSV3","created_at":"2026-07-04T16:41:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:HT6LLSV3QJSNHGAJTPIOUUAJDJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0312170","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-15T20:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"9867114827bbe4818d303977875cb8c9b810d2340a5f1e9b6330326227cc73e6","abstract_canon_sha256":"c53558d8a3dd551c4b429be08b437ea236a84400d4ea973d8b871bc400cd6d18"},"schema_version":"1.0"},"canonical_sha256":"3cfcb5cabb8264d398099bd0ea50091a60aca8623f9229262178fc20554d16af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:30.090121Z","signature_b64":"8TL3Z+ngghSycZQuHnFTh+Qj0dPN+8fAsdkK9PPXs6Unj3bmcR8V5lTwR3CbS38DuEe5J8Hth2RV+SQStebNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cfcb5cabb8264d398099bd0ea50091a60aca8623f9229262178fc20554d16af","last_reissued_at":"2026-07-04T16:41:30.089771Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:30.089771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0312170","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1heJLSfaPMnUPulZusTDddXWu3cSm52ILWZmJgTjZ/KYkkXD5xq8cO/Zb8NIVl+SYQkqI9zJolBdq1gnpeLmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:49:40.813764Z"},"content_sha256":"43cc826d1733c2a5239d3c8a8a0fd23fd25208173984abb224ad8fdba60fe78a","schema_version":"1.0","event_id":"sha256:43cc826d1733c2a5239d3c8a8a0fd23fd25208173984abb224ad8fdba60fe78a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:HT6LLSV3QJSNHGAJTPIOUUAJDJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Branes, Rings and Matrix Models in Minimal (Super)string Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Shih, Nathan Seiberg","submitted_at":"2003-12-15T20:28:49Z","abstract_excerpt":"We study both bosonic and supersymmetric (p,q) minimal models coupled to Liouville theory using the ground ring and the various branes of the theory.\n  From the FZZT brane partition function, there emerges a unified, geometric description of all these theories in terms of an auxiliary Riemann surface M_{p,q} and the corresponding matrix model. In terms of this geometric description, both the FZZT and ZZ branes correspond to line integrals of a certain one-form on M_{p,q}. Moreover, we argue that there are a finite number of distinct (m,n) ZZ branes, and we show that these ZZ branes are located"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312170","kind":"arxiv","version":2},"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/0312170/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":"2026-07-04T16:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gVFYnc3DeAuW0OrmIEaTeIOLR+CasxvUN/OBU4YXAHJWDXEpFMI+1wbwtWqrlfDKMUTYHa2ENWS2fy1EVpZdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:49:40.814533Z"},"content_sha256":"7e3d373c414f64ee3645e84032dc7b4d5531ce4eafe1aa9068594ab23c4ea93a","schema_version":"1.0","event_id":"sha256:7e3d373c414f64ee3645e84032dc7b4d5531ce4eafe1aa9068594ab23c4ea93a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/bundle.json","state_url":"https://pith.science/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/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":"2026-08-16T06:49:40Z","links":{"resolver":"https://pith.science/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ","bundle":"https://pith.science/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/bundle.json","state":"https://pith.science/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HT6LLSV3QJSNHGAJTPIOUUAJDJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:HT6LLSV3QJSNHGAJTPIOUUAJDJ","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":"c53558d8a3dd551c4b429be08b437ea236a84400d4ea973d8b871bc400cd6d18","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-15T20:28:49Z","title_canon_sha256":"9867114827bbe4818d303977875cb8c9b810d2340a5f1e9b6330326227cc73e6"},"schema_version":"1.0","source":{"id":"hep-th/0312170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312170","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312170v2","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312170","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"HT6LLSV3QJSN","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_16","alias_value":"HT6LLSV3QJSNHGAJ","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_8","alias_value":"HT6LLSV3","created_at":"2026-07-04T16:41:30Z"}],"graph_snapshots":[{"event_id":"sha256:7e3d373c414f64ee3645e84032dc7b4d5531ce4eafe1aa9068594ab23c4ea93a","target":"graph","created_at":"2026-07-04T16:41:30Z","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/0312170/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study both bosonic and supersymmetric (p,q) minimal models coupled to Liouville theory using the ground ring and the various branes of the theory.\n  From the FZZT brane partition function, there emerges a unified, geometric description of all these theories in terms of an auxiliary Riemann surface M_{p,q} and the corresponding matrix model. In terms of this geometric description, both the FZZT and ZZ branes correspond to line integrals of a certain one-form on M_{p,q}. Moreover, we argue that there are a finite number of distinct (m,n) ZZ branes, and we show that these ZZ branes are located","authors_text":"David Shih, Nathan Seiberg","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-12-15T20:28:49Z","title":"Branes, Rings and Matrix Models in Minimal (Super)string Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312170","kind":"arxiv","version":2},"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":"sha256:43cc826d1733c2a5239d3c8a8a0fd23fd25208173984abb224ad8fdba60fe78a","target":"record","created_at":"2026-07-04T16:41:30Z","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":"c53558d8a3dd551c4b429be08b437ea236a84400d4ea973d8b871bc400cd6d18","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-15T20:28:49Z","title_canon_sha256":"9867114827bbe4818d303977875cb8c9b810d2340a5f1e9b6330326227cc73e6"},"schema_version":"1.0","source":{"id":"hep-th/0312170","kind":"arxiv","version":2}},"canonical_sha256":"3cfcb5cabb8264d398099bd0ea50091a60aca8623f9229262178fc20554d16af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cfcb5cabb8264d398099bd0ea50091a60aca8623f9229262178fc20554d16af","first_computed_at":"2026-07-04T16:41:30.089771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:30.089771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8TL3Z+ngghSycZQuHnFTh+Qj0dPN+8fAsdkK9PPXs6Unj3bmcR8V5lTwR3CbS38DuEe5J8Hth2RV+SQStebNAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:30.090121Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0312170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43cc826d1733c2a5239d3c8a8a0fd23fd25208173984abb224ad8fdba60fe78a","sha256:7e3d373c414f64ee3645e84032dc7b4d5531ce4eafe1aa9068594ab23c4ea93a"],"state_sha256":"fdd66d9aed03fa39c155d2d1f90e4c2fd8505cf65441064ffdeb18a4ff78b6a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cj5ULD+/ZrUW7pQXgwM/LH0/F7xTizoeKvqmF0GyODYcJ43dl8FFRJo3M4IHn0dsYDbzo9maWY1fSI3io3SxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T06:49:40.821360Z","bundle_sha256":"1f615b0d77b44379df66509f683e50d390f4f11d7fac89c7721fa2c2f66e7bf3"}}