{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:XFHHGPIBDIAI6V5LAIVBW2Y7GA","short_pith_number":"pith:XFHHGPIB","canonical_record":{"source":{"id":"hep-th/0406058","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T12:44:49Z","cross_cats_sorted":[],"title_canon_sha256":"b25ccbb7e953367dfa960e480b6d24f14b89815a0ead62ee9b28c590062e5d1d","abstract_canon_sha256":"5f522bb2a0592ab3ba87580dbde794bf55fcca258b2e0605d0fc8cfd229206c2"},"schema_version":"1.0"},"canonical_sha256":"b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49","source":{"kind":"arxiv","id":"hep-th/0406058","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406058","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406058v2","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406058","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"XFHHGPIBDIAI","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_16","alias_value":"XFHHGPIBDIAI6V5L","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_8","alias_value":"XFHHGPIB","created_at":"2026-07-04T14:32:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:XFHHGPIBDIAI6V5LAIVBW2Y7GA","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0406058","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T12:44:49Z","cross_cats_sorted":[],"title_canon_sha256":"b25ccbb7e953367dfa960e480b6d24f14b89815a0ead62ee9b28c590062e5d1d","abstract_canon_sha256":"5f522bb2a0592ab3ba87580dbde794bf55fcca258b2e0605d0fc8cfd229206c2"},"schema_version":"1.0"},"canonical_sha256":"b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:15.342928Z","signature_b64":"+iqHD+DOw8A6QSHcxoWQ48TCW/H0JjPJ3J3Qgx6TkmMSZ1XB3YCpateZ1JGKrhGsrqkXMjuaR7HIbreFzaK/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49","last_reissued_at":"2026-07-04T14:32:15.342521Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:15.342521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0406058","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":"2026-07-04T14:32:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACsZC2CBfqGb91WBMh5YJXTYvm2RFSo9cF9V2fqVEe29bmdlyRuT7wwpFwC1NEu5JK8DF+gN43Oz86K9EYwJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T13:56:06.179608Z"},"content_sha256":"d90ead5d1c47d3e1daab5cec08e5cad7dd3535ea0c26800dc17209e6482df28b","schema_version":"1.0","event_id":"sha256:d90ead5d1c47d3e1daab5cec08e5cad7dd3535ea0c26800dc17209e6482df28b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:XFHHGPIBDIAI6V5LAIVBW2Y7GA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two Dimensional Yang-Mills, Black Holes and Topological Strings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cumrun Vafa","submitted_at":"2004-06-07T12:44:49Z","abstract_excerpt":"We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent results on the equivalence of the partition function of topological strings and that of four dimensional BPS black holes, which in turn is holographically dual to the field theory on a brane. The partition function of the field theory on the brane reduces, for the ground state sector, to that of 2d Yang-Mills theory. We conjecture that the large N chiral factorization of the 2d U(N) Yang-Mills parti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406058","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/0406058/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":"2026-07-04T14:32:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mm+402G2YXz+bsId43Q4eDl5O8KsGayHRlmjTEL95TlzlK/cd3/SdJwF/Qtdjl+kwvACf2GX4o2LwCKVqLdzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T13:56:06.180087Z"},"content_sha256":"430ee05962bbd34105eaa1639a895d6dfa2c88abe21a284f29a327bb96acc9fb","schema_version":"1.0","event_id":"sha256:430ee05962bbd34105eaa1639a895d6dfa2c88abe21a284f29a327bb96acc9fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/bundle.json","state_url":"https://pith.science/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/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":"2026-08-01T13:56:06Z","links":{"resolver":"https://pith.science/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA","bundle":"https://pith.science/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/bundle.json","state":"https://pith.science/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XFHHGPIBDIAI6V5LAIVBW2Y7GA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:XFHHGPIBDIAI6V5LAIVBW2Y7GA","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":"5f522bb2a0592ab3ba87580dbde794bf55fcca258b2e0605d0fc8cfd229206c2","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T12:44:49Z","title_canon_sha256":"b25ccbb7e953367dfa960e480b6d24f14b89815a0ead62ee9b28c590062e5d1d"},"schema_version":"1.0","source":{"id":"hep-th/0406058","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406058","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406058v2","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406058","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"XFHHGPIBDIAI","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_16","alias_value":"XFHHGPIBDIAI6V5L","created_at":"2026-07-04T14:32:15Z"},{"alias_kind":"pith_short_8","alias_value":"XFHHGPIB","created_at":"2026-07-04T14:32:15Z"}],"graph_snapshots":[{"event_id":"sha256:430ee05962bbd34105eaa1639a895d6dfa2c88abe21a284f29a327bb96acc9fb","target":"graph","created_at":"2026-07-04T14:32:15Z","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/0406058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent results on the equivalence of the partition function of topological strings and that of four dimensional BPS black holes, which in turn is holographically dual to the field theory on a brane. The partition function of the field theory on the brane reduces, for the ground state sector, to that of 2d Yang-Mills theory. We conjecture that the large N chiral factorization of the 2d U(N) Yang-Mills parti","authors_text":"Cumrun Vafa","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T12:44:49Z","title":"Two Dimensional Yang-Mills, Black Holes and Topological Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406058","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:d90ead5d1c47d3e1daab5cec08e5cad7dd3535ea0c26800dc17209e6482df28b","target":"record","created_at":"2026-07-04T14:32:15Z","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":"5f522bb2a0592ab3ba87580dbde794bf55fcca258b2e0605d0fc8cfd229206c2","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T12:44:49Z","title_canon_sha256":"b25ccbb7e953367dfa960e480b6d24f14b89815a0ead62ee9b28c590062e5d1d"},"schema_version":"1.0","source":{"id":"hep-th/0406058","kind":"arxiv","version":2}},"canonical_sha256":"b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49","first_computed_at":"2026-07-04T14:32:15.342521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:15.342521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+iqHD+DOw8A6QSHcxoWQ48TCW/H0JjPJ3J3Qgx6TkmMSZ1XB3YCpateZ1JGKrhGsrqkXMjuaR7HIbreFzaK/Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:15.342928Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0406058","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d90ead5d1c47d3e1daab5cec08e5cad7dd3535ea0c26800dc17209e6482df28b","sha256:430ee05962bbd34105eaa1639a895d6dfa2c88abe21a284f29a327bb96acc9fb"],"state_sha256":"0a8124f869f824c6baede452a69d7fd1e20b1e5ffde30a562b391682ace4f7ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zE9m61PGNAWTbremkAB3tKO5LL3/zijmbQjFVhdwXG9C7hris0QxE9V8MzhMWhcI8Dx+FUrRA6CUj+5xHebYDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T13:56:06.189735Z","bundle_sha256":"78a8eb7a89bbb431824d5ff4fa1fab351e09a2c13519e224024428571b9dacfa"}}