{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PQK3WKQ335IF3NZ4MAMYY25LS7","short_pith_number":"pith:PQK3WKQ3","schema_version":"1.0","canonical_sha256":"7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72","source":{"kind":"arxiv","id":"1511.00779","version":2},"attestation_state":"computed","paper":{"title":"Gluing formula for Gromov-Witten invariants in a triple product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.SG","authors_text":"Brett Parker","submitted_at":"2015-11-03T04:55:09Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.00779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T04:55:09Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"2191af4f85d38d87a6d9caf2f78b0220bae25477e00edce9d128e5bcdc1379ac","abstract_canon_sha256":"ca351839629d91ef05ee3e89e5eb09cef18603b5a034d82198e5c772913d1d25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:42.681222Z","signature_b64":"+chaoszeTXsIWTS5DbGDxSlYwm/gjEHCvltsflXHZefH7u/Z55gzXq9GeE4EW3zfvbaBNAQvcBjbtwEINmhyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72","last_reissued_at":"2026-05-18T00:44:42.680796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:42.680796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gluing formula for Gromov-Witten invariants in a triple product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.SG","authors_text":"Brett Parker","submitted_at":"2015-11-03T04:55:09Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00779","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.00779","created_at":"2026-05-18T00:44:42.680865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.00779v2","created_at":"2026-05-18T00:44:42.680865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00779","created_at":"2026-05-18T00:44:42.680865+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQK3WKQ335IF","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQK3WKQ335IF3NZ4","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQK3WKQ3","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7","json":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7.json","graph_json":"https://pith.science/api/pith-number/PQK3WKQ335IF3NZ4MAMYY25LS7/graph.json","events_json":"https://pith.science/api/pith-number/PQK3WKQ335IF3NZ4MAMYY25LS7/events.json","paper":"https://pith.science/paper/PQK3WKQ3"},"agent_actions":{"view_html":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7","download_json":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7.json","view_paper":"https://pith.science/paper/PQK3WKQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.00779&json=true","fetch_graph":"https://pith.science/api/pith-number/PQK3WKQ335IF3NZ4MAMYY25LS7/graph.json","fetch_events":"https://pith.science/api/pith-number/PQK3WKQ335IF3NZ4MAMYY25LS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7/action/storage_attestation","attest_author":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7/action/author_attestation","sign_citation":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7/action/citation_signature","submit_replication":"https://pith.science/pith/PQK3WKQ335IF3NZ4MAMYY25LS7/action/replication_record"}},"created_at":"2026-05-18T00:44:42.680865+00:00","updated_at":"2026-05-18T00:44:42.680865+00:00"}