{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PQK3WKQ335IF3NZ4MAMYY25LS7","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":"ca351839629d91ef05ee3e89e5eb09cef18603b5a034d82198e5c772913d1d25","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T04:55:09Z","title_canon_sha256":"2191af4f85d38d87a6d9caf2f78b0220bae25477e00edce9d128e5bcdc1379ac"},"schema_version":"1.0","source":{"id":"1511.00779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00779","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00779v2","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00779","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"PQK3WKQ335IF","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PQK3WKQ335IF3NZ4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PQK3WKQ3","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:994e01e73973889b16e6ead60b308034548dcb6961e9c289ead16c3ec7148ca8","target":"graph","created_at":"2026-05-18T00:44:42Z","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 present a gluing formula for Gromov-Witten invariants in the case of a triple product. This gluing formula is a simple case of a much more general gluing formula proved and stated using exploded manifolds. We present this simple case because it is relatively easy to explain without any knowledge of exploded manifolds or log schemes.","authors_text":"Brett Parker","cross_cats":["math.AG","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T04:55:09Z","title":"Gluing formula for Gromov-Witten invariants in a triple product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00779","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":"sha256:7d3611bd7aff15774b74de8e8ce9e45c07c6a28055b8b7a4afcbfd6eb3e10721","target":"record","created_at":"2026-05-18T00:44:42Z","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":"ca351839629d91ef05ee3e89e5eb09cef18603b5a034d82198e5c772913d1d25","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T04:55:09Z","title_canon_sha256":"2191af4f85d38d87a6d9caf2f78b0220bae25477e00edce9d128e5bcdc1379ac"},"schema_version":"1.0","source":{"id":"1511.00779","kind":"arxiv","version":2}},"canonical_sha256":"7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72","first_computed_at":"2026-05-18T00:44:42.680796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:42.680796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+chaoszeTXsIWTS5DbGDxSlYwm/gjEHCvltsflXHZefH7u/Z55gzXq9GeE4EW3zfvbaBNAQvcBjbtwEINmhyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:42.681222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d3611bd7aff15774b74de8e8ce9e45c07c6a28055b8b7a4afcbfd6eb3e10721","sha256:994e01e73973889b16e6ead60b308034548dcb6961e9c289ead16c3ec7148ca8"],"state_sha256":"5fa032d55f107aa78bc69917809ed4f3ed39ab37c8cea4e48e70328ebe342333"}