{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:T54FONBDGZPIFSONPCOPFRUTFG","short_pith_number":"pith:T54FONBD","canonical_record":{"source":{"id":"hep-th/0306177","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-06-18T18:14:09Z","cross_cats_sorted":[],"title_canon_sha256":"ed077484451e1676786f17bee683bbeb38fea8e5b6fc6ad3f6a494e6c4c4fc59","abstract_canon_sha256":"4e223d3e190898da433da6b732a911ec63085c3eb35f2c682016e5dd07fadf2e"},"schema_version":"1.0"},"canonical_sha256":"9f78573423365e82c9cd789cf2c69329994a8a1158dbf3d31eb52846b261c6c6","source":{"kind":"arxiv","id":"hep-th/0306177","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0306177","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0306177v2","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0306177","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"T54FONBDGZPI","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_16","alias_value":"T54FONBDGZPIFSON","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_8","alias_value":"T54FONBD","created_at":"2026-07-04T16:41:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:T54FONBDGZPIFSONPCOPFRUTFG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0306177","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-06-18T18:14:09Z","cross_cats_sorted":[],"title_canon_sha256":"ed077484451e1676786f17bee683bbeb38fea8e5b6fc6ad3f6a494e6c4c4fc59","abstract_canon_sha256":"4e223d3e190898da433da6b732a911ec63085c3eb35f2c682016e5dd07fadf2e"},"schema_version":"1.0"},"canonical_sha256":"9f78573423365e82c9cd789cf2c69329994a8a1158dbf3d31eb52846b261c6c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:18.593784Z","signature_b64":"RST0jDXV3t1GxJCNXlgfz6OTO6vz2N5hsfxp51VOrSBaxnQJgeH2eMMPTuOHN/1//GITxg44KGO6pWa4sOv4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f78573423365e82c9cd789cf2c69329994a8a1158dbf3d31eb52846b261c6c6","last_reissued_at":"2026-07-04T16:41:18.593443Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:18.593443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0306177","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":"2026-07-04T16:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdMF8D90bBpeAGuOPF4UNOjGtjwxgZ/JsRrPTQZNHPVWZ5Xjz00j1H/7Q7sQseJM/xKP+3509lhTdcGLTJknDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:25:15.371012Z"},"content_sha256":"95f1da28e9ee41ccdf3aeaf41bc6c98cda3eba9447d3cac4c4227ddb209c76af","schema_version":"1.0","event_id":"sha256:95f1da28e9ee41ccdf3aeaf41bc6c98cda3eba9447d3cac4c4227ddb209c76af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:T54FONBDGZPIFSONPCOPFRUTFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Perturbative Effects in Matrix Models and D-branes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Kutasov, Sergei Yu. Alexandrov, Vladimir A. Kazakov","submitted_at":"2003-06-18T18:14:09Z","abstract_excerpt":"The large order growth of string perturbation theory in $c\\le 1$ conformal field theory coupled to world sheet gravity implies the presence of $O(e^{-{1\\over g_s}})$ non-perturbative effects, whose leading behavior can be calculated in the matrix model approach. Recently it was proposed that the same effects should be reproduced by studying certain localized D-branes in Liouville Field Theory, which were constructed by A. and Al. Zamolodchikov. We discuss this correspondence in a number of different cases: unitary minimal models coupled to Liouville, where we compare the continuum analysis to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0306177","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/0306177/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":"2026-07-04T16:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWOPJDxAGAp3Wd3HUux47UawnqK23yINFkyTz9y59o4yXeREnVN3K5iUEhgr33dAZ4+khVasrwmXutHLI9F/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:25:15.371616Z"},"content_sha256":"391e3f96d5167b7b9ef22397a990f60d3f50cb39c31a6a3ceaadfc10ec49e9d8","schema_version":"1.0","event_id":"sha256:391e3f96d5167b7b9ef22397a990f60d3f50cb39c31a6a3ceaadfc10ec49e9d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T54FONBDGZPIFSONPCOPFRUTFG/bundle.json","state_url":"https://pith.science/pith/T54FONBDGZPIFSONPCOPFRUTFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T54FONBDGZPIFSONPCOPFRUTFG/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":"2026-08-11T17:25:15Z","links":{"resolver":"https://pith.science/pith/T54FONBDGZPIFSONPCOPFRUTFG","bundle":"https://pith.science/pith/T54FONBDGZPIFSONPCOPFRUTFG/bundle.json","state":"https://pith.science/pith/T54FONBDGZPIFSONPCOPFRUTFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T54FONBDGZPIFSONPCOPFRUTFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:T54FONBDGZPIFSONPCOPFRUTFG","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":"4e223d3e190898da433da6b732a911ec63085c3eb35f2c682016e5dd07fadf2e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-06-18T18:14:09Z","title_canon_sha256":"ed077484451e1676786f17bee683bbeb38fea8e5b6fc6ad3f6a494e6c4c4fc59"},"schema_version":"1.0","source":{"id":"hep-th/0306177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0306177","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0306177v2","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0306177","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"T54FONBDGZPI","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_16","alias_value":"T54FONBDGZPIFSON","created_at":"2026-07-04T16:41:18Z"},{"alias_kind":"pith_short_8","alias_value":"T54FONBD","created_at":"2026-07-04T16:41:18Z"}],"graph_snapshots":[{"event_id":"sha256:391e3f96d5167b7b9ef22397a990f60d3f50cb39c31a6a3ceaadfc10ec49e9d8","target":"graph","created_at":"2026-07-04T16:41:18Z","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/0306177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The large order growth of string perturbation theory in $c\\le 1$ conformal field theory coupled to world sheet gravity implies the presence of $O(e^{-{1\\over g_s}})$ non-perturbative effects, whose leading behavior can be calculated in the matrix model approach. Recently it was proposed that the same effects should be reproduced by studying certain localized D-branes in Liouville Field Theory, which were constructed by A. and Al. Zamolodchikov. We discuss this correspondence in a number of different cases: unitary minimal models coupled to Liouville, where we compare the continuum analysis to ","authors_text":"David Kutasov, Sergei Yu. Alexandrov, Vladimir A. Kazakov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-06-18T18:14:09Z","title":"Non-Perturbative Effects in Matrix Models and D-branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0306177","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":"sha256:95f1da28e9ee41ccdf3aeaf41bc6c98cda3eba9447d3cac4c4227ddb209c76af","target":"record","created_at":"2026-07-04T16:41:18Z","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":"4e223d3e190898da433da6b732a911ec63085c3eb35f2c682016e5dd07fadf2e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-06-18T18:14:09Z","title_canon_sha256":"ed077484451e1676786f17bee683bbeb38fea8e5b6fc6ad3f6a494e6c4c4fc59"},"schema_version":"1.0","source":{"id":"hep-th/0306177","kind":"arxiv","version":2}},"canonical_sha256":"9f78573423365e82c9cd789cf2c69329994a8a1158dbf3d31eb52846b261c6c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f78573423365e82c9cd789cf2c69329994a8a1158dbf3d31eb52846b261c6c6","first_computed_at":"2026-07-04T16:41:18.593443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:18.593443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RST0jDXV3t1GxJCNXlgfz6OTO6vz2N5hsfxp51VOrSBaxnQJgeH2eMMPTuOHN/1//GITxg44KGO6pWa4sOv4Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:18.593784Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0306177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95f1da28e9ee41ccdf3aeaf41bc6c98cda3eba9447d3cac4c4227ddb209c76af","sha256:391e3f96d5167b7b9ef22397a990f60d3f50cb39c31a6a3ceaadfc10ec49e9d8"],"state_sha256":"9a0a769d2dcf5979d6c40c2db63afd05d8af646ecdc48e949ae29e2d3abc9d39"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gePB8esE898CCYCpE1xUVuSQ191MBl+T5p3+KKgDaY+3ZX0CtL5xep9EsCh/WvX3zVJeQYfOhC1zvqPZ3blNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T17:25:15.378798Z","bundle_sha256":"b0b7713faefadb09a8dd2bfa652d2c277793e0a9424c30307f7b83e5f30c9c63"}}