{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:2VA2UFB73DETXG6CH6DXSL5EBQ","short_pith_number":"pith:2VA2UFB7","canonical_record":{"source":{"id":"hep-th/9304121","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-26T09:15:36Z","cross_cats_sorted":[],"title_canon_sha256":"f2394a3162273cf0d7d185b672b417cb091e600b92c09ebb036faca09edad192","abstract_canon_sha256":"2e52f2094e4d3278300312015a7cbc9c45dd399bd0fa572d2b53d06f1ea01e6f"},"schema_version":"1.0"},"canonical_sha256":"d541aa143fd8c93b9bc23f87792fa40c36c98b36fecd4361b7cef6d5f94d053f","source":{"kind":"arxiv","id":"hep-th/9304121","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304121","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304121v1","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304121","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"pith_short_12","alias_value":"2VA2UFB73DET","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2VA2UFB73DETXG6C","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2VA2UFB7","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:2VA2UFB73DETXG6CH6DXSL5EBQ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9304121","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-26T09:15:36Z","cross_cats_sorted":[],"title_canon_sha256":"f2394a3162273cf0d7d185b672b417cb091e600b92c09ebb036faca09edad192","abstract_canon_sha256":"2e52f2094e4d3278300312015a7cbc9c45dd399bd0fa572d2b53d06f1ea01e6f"},"schema_version":"1.0"},"canonical_sha256":"d541aa143fd8c93b9bc23f87792fa40c36c98b36fecd4361b7cef6d5f94d053f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:42.767163Z","signature_b64":"FG68pt7JGY9uH9W42Qdri+tdKvSbmh2n+eqsDMW8KeGaeHVaHCSE3naaRmqmLvjIRK+ultT2bdmzegpYgPvKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d541aa143fd8c93b9bc23f87792fa40c36c98b36fecd4361b7cef6d5f94d053f","last_reissued_at":"2026-05-18T01:38:42.766551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:42.766551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9304121","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":"2026-05-18T01:38:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/TM8uoVisYiZgmmSZA5GHn2i02IsBMdG4VMelnOn+8WVIGn6cO58JJ9eRLJzcrT9ptyNwTQ6IktvR8aHRpCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:39:20.171070Z"},"content_sha256":"4917ecb3931a91caaac1350820a7976ee5318d15b093161e9de21fd0d97f31d1","schema_version":"1.0","event_id":"sha256:4917ecb3931a91caaac1350820a7976ee5318d15b093161e9de21fd0d97f31d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:2VA2UFB73DETXG6CH6DXSL5EBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Field Theories and the Period Integrals","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"S.-K. Yang, T. Eguchi, Y. Yamada","submitted_at":"1993-04-26T09:15:36Z","abstract_excerpt":"We discuss topological Landau-Ginzburg theories coupled to the 2-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the 2-dimesional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials. Thus the one-point functions on the sphere of the Landau-Ginzburg theories are given exactly by the period integrals. We discuss various examples, A-D-E minimal models and the $c=3$ topological theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304121","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":""},"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":"2026-05-18T01:38:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7LMwljyakXAdKSbSZ4GLz/9njezWW0j7EL6v9ygcpv/2GqTcDITPsAGwjccG+PnFn2mHFuzXtZkfx8tc08UDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:39:20.171433Z"},"content_sha256":"6970a4f61e070a2729932e4c0ebd2abf5d91e138e1ef2c90f090aa70260785f8","schema_version":"1.0","event_id":"sha256:6970a4f61e070a2729932e4c0ebd2abf5d91e138e1ef2c90f090aa70260785f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/bundle.json","state_url":"https://pith.science/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/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":"2026-06-25T23:39:20Z","links":{"resolver":"https://pith.science/pith/2VA2UFB73DETXG6CH6DXSL5EBQ","bundle":"https://pith.science/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/bundle.json","state":"https://pith.science/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VA2UFB73DETXG6CH6DXSL5EBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:2VA2UFB73DETXG6CH6DXSL5EBQ","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":"2e52f2094e4d3278300312015a7cbc9c45dd399bd0fa572d2b53d06f1ea01e6f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-26T09:15:36Z","title_canon_sha256":"f2394a3162273cf0d7d185b672b417cb091e600b92c09ebb036faca09edad192"},"schema_version":"1.0","source":{"id":"hep-th/9304121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304121","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304121v1","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304121","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"pith_short_12","alias_value":"2VA2UFB73DET","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2VA2UFB73DETXG6C","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2VA2UFB7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6970a4f61e070a2729932e4c0ebd2abf5d91e138e1ef2c90f090aa70260785f8","target":"graph","created_at":"2026-05-18T01:38:42Z","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"},"paper":{"abstract_excerpt":"We discuss topological Landau-Ginzburg theories coupled to the 2-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the 2-dimesional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials. Thus the one-point functions on the sphere of the Landau-Ginzburg theories are given exactly by the period integrals. We discuss various examples, A-D-E minimal models and the $c=3$ topological theories.","authors_text":"S.-K. Yang, T. Eguchi, Y. Yamada","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-04-26T09:15:36Z","title":"Topological Field Theories and the Period Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304121","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":"sha256:4917ecb3931a91caaac1350820a7976ee5318d15b093161e9de21fd0d97f31d1","target":"record","created_at":"2026-05-18T01:38:42Z","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":"2e52f2094e4d3278300312015a7cbc9c45dd399bd0fa572d2b53d06f1ea01e6f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-26T09:15:36Z","title_canon_sha256":"f2394a3162273cf0d7d185b672b417cb091e600b92c09ebb036faca09edad192"},"schema_version":"1.0","source":{"id":"hep-th/9304121","kind":"arxiv","version":1}},"canonical_sha256":"d541aa143fd8c93b9bc23f87792fa40c36c98b36fecd4361b7cef6d5f94d053f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d541aa143fd8c93b9bc23f87792fa40c36c98b36fecd4361b7cef6d5f94d053f","first_computed_at":"2026-05-18T01:38:42.766551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:42.766551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FG68pt7JGY9uH9W42Qdri+tdKvSbmh2n+eqsDMW8KeGaeHVaHCSE3naaRmqmLvjIRK+ultT2bdmzegpYgPvKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:42.767163Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9304121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4917ecb3931a91caaac1350820a7976ee5318d15b093161e9de21fd0d97f31d1","sha256:6970a4f61e070a2729932e4c0ebd2abf5d91e138e1ef2c90f090aa70260785f8"],"state_sha256":"25acbbdd6e690b0c1b2443952aa8a7cab04edb71ecf390120b3eedfe0910c16d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlQgYPyrXIuEhxcBVMN9Xp12QI57CU31qVzY0FNDmFbPmRlKKkMo3rt9sCbzGhCkgOokhYdhuT0QZ/WOr8DuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:39:20.173580Z","bundle_sha256":"f64af9153cfeea8e220503c33e594cdc7213e865c0716aaa6e683b27c69b8c7d"}}