{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:CSWUXEWNQWEPLGU2YPVDBZ4CJP","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":"bdf810593a74a9f72b74da477adc465e55714d9b2a002cd97698d6cc2f7a5a10","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-19T03:37:09Z","title_canon_sha256":"57f9a68955194874e6112de53977d1f00565bf8766ef5265055d3b2d59f86a99"},"schema_version":"1.0","source":{"id":"hep-th/0312234","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312234","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312234v3","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312234","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"CSWUXEWNQWEP","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_16","alias_value":"CSWUXEWNQWEPLGU2","created_at":"2026-07-04T16:41:30Z"},{"alias_kind":"pith_short_8","alias_value":"CSWUXEWN","created_at":"2026-07-04T16:41:30Z"}],"graph_snapshots":[{"event_id":"sha256:19d9fa208a059ae47280765035d3a01bd118c3361f377bb0b7ae508215b88f4d","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/0312234/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory. We introduce an operator technique of 2-dimensional CFT which greatly simplifies the computations. We in particular show that in the case of local Calabi-Yau manifolds described by toric geometry basic amplitudes are written as vacuum expectation values of a product vertex operators and thus appear quite similar to the Veneziano amplitudes of the old dual resonance models. Topological string amplitudes can","authors_text":"Hiroaki Kanno, Tohru Eguchi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-12-19T03:37:09Z","title":"Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312234","kind":"arxiv","version":3},"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:aee9ca54b16f5e6cff7bf6400b535b6e3b944e2b64a549a6558413509a85d4f9","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":"bdf810593a74a9f72b74da477adc465e55714d9b2a002cd97698d6cc2f7a5a10","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-19T03:37:09Z","title_canon_sha256":"57f9a68955194874e6112de53977d1f00565bf8766ef5265055d3b2d59f86a99"},"schema_version":"1.0","source":{"id":"hep-th/0312234","kind":"arxiv","version":3}},"canonical_sha256":"14ad4b92cd8588f59a9ac3ea30e7824bf64801fc1f7d4941e98e2d649278c5f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14ad4b92cd8588f59a9ac3ea30e7824bf64801fc1f7d4941e98e2d649278c5f8","first_computed_at":"2026-07-04T16:41:30.613962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:30.613962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JC/jioIIBfJE6Wcwr5Tm47tOoUdf3i3huYX4nKGLfIhXQBpUq/Dt+m+90nhpNgKSl7nUMh88UrpzBvyfcv91AA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:30.614305Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0312234","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aee9ca54b16f5e6cff7bf6400b535b6e3b944e2b64a549a6558413509a85d4f9","sha256:19d9fa208a059ae47280765035d3a01bd118c3361f377bb0b7ae508215b88f4d"],"state_sha256":"f611c1059ae872466095e1a73ae633701e942bc60fbef0072285a75a1d37a00f"}