{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:X4ME4EK5OUP2F5B4754FTQBZQX","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":"77156bce509b97314a8eac776c898672cda201cbbb4767f3ab27216a963609a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-08-04T06:56:49Z","title_canon_sha256":"7a6fba0ac8119aac903951b413ea654500fb5cc8fee59df1c34af6e345651c4a"},"schema_version":"1.0","source":{"id":"0908.0393","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0393","created_at":"2026-07-04T15:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0393v2","created_at":"2026-07-04T15:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0393","created_at":"2026-07-04T15:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"X4ME4EK5OUP2","created_at":"2026-07-04T15:49:31Z"},{"alias_kind":"pith_short_16","alias_value":"X4ME4EK5OUP2F5B4","created_at":"2026-07-04T15:49:31Z"},{"alias_kind":"pith_short_8","alias_value":"X4ME4EK5","created_at":"2026-07-04T15:49:31Z"}],"graph_snapshots":[{"event_id":"sha256:46ef3bdde542e87ee84cc2643941847b2f45ebb2b85d374de063cc26c74460b6","target":"graph","created_at":"2026-07-04T15:49:31Z","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/0908.0393/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. In this paper we construct the Open Gromov-Witten potential. The evaluation of the potential on its critical points leads to numerical invariants.","authors_text":"Vito Iacovino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-08-04T06:56:49Z","title":"Open Gromov-Witten theory on Calabi-Yau three-folds II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0393","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":"sha256:351841f36adfc547deffa11b7d4abdf04829d66b5b11976a2b7b09800d50079b","target":"record","created_at":"2026-07-04T15:49:31Z","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":"77156bce509b97314a8eac776c898672cda201cbbb4767f3ab27216a963609a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-08-04T06:56:49Z","title_canon_sha256":"7a6fba0ac8119aac903951b413ea654500fb5cc8fee59df1c34af6e345651c4a"},"schema_version":"1.0","source":{"id":"0908.0393","kind":"arxiv","version":2}},"canonical_sha256":"bf184e115d751fa2f43cff7859c03985f6649cdf04f23e71138df1e6dd3b6b36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf184e115d751fa2f43cff7859c03985f6649cdf04f23e71138df1e6dd3b6b36","first_computed_at":"2026-07-04T15:49:31.778952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:31.778952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hqtZ3cBTc9aapTcGKXxHSz8R5JR0lF1w14hUuVeGXGJy90wm88ZkpqAhXlU26NXUbGLifrkrbA0a7/aZimdqBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:31.779398Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0393","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:351841f36adfc547deffa11b7d4abdf04829d66b5b11976a2b7b09800d50079b","sha256:46ef3bdde542e87ee84cc2643941847b2f45ebb2b85d374de063cc26c74460b6"],"state_sha256":"99db171805105456d6d1aca54146b049d32823864bfb4fd2e4359e2585afd70b"}