{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HQ5OXUL55GGFLQ4ASSD2WPUS3F","short_pith_number":"pith:HQ5OXUL5","schema_version":"1.0","canonical_sha256":"3c3aebd17de98c55c3809487ab3e92d95ebf0d6eef200d6dfbfec95527bfc4f5","source":{"kind":"arxiv","id":"1803.04210","version":2},"attestation_state":"computed","paper":{"title":"The degeneration formula for stable log maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Bumsig Kim, Helge Ruddat, Hyenho Lho","submitted_at":"2018-03-12T11:54:01Z","abstract_excerpt":"We give a short direct proof for the degeneration formula of Gromov-Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of minimal/basic stable log maps of Abramovich-Chen, Chen, Gross-Siebert."},"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":"1803.04210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-12T11:54:01Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"670691e2733ab91e4ab53ba82d933107451e15c35eeaa57a7f2556b118dad7da","abstract_canon_sha256":"958d3fffeb3fdca9624ec4cb0233a9a2589c535932d5734600864618c0dcc5b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:33:36.277078Z","signature_b64":"pr557e2iSuIOXfFcu5N06dN/x3aoYAls113NNch5MPfoNZ5XZemWMLu180soeJPJbTj2PlaBHj0SMiW5dRASAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c3aebd17de98c55c3809487ab3e92d95ebf0d6eef200d6dfbfec95527bfc4f5","last_reissued_at":"2026-07-05T03:33:36.276326Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:33:36.276326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The degeneration formula for stable log maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Bumsig Kim, Helge Ruddat, Hyenho Lho","submitted_at":"2018-03-12T11:54:01Z","abstract_excerpt":"We give a short direct proof for the degeneration formula of Gromov-Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of minimal/basic stable log maps of Abramovich-Chen, Chen, Gross-Siebert."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1803.04210/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1803.04210","created_at":"2026-07-05T03:33:36.276382+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.04210v2","created_at":"2026-07-05T03:33:36.276382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04210","created_at":"2026-07-05T03:33:36.276382+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQ5OXUL55GGF","created_at":"2026-07-05T03:33:36.276382+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQ5OXUL55GGFLQ4A","created_at":"2026-07-05T03:33:36.276382+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQ5OXUL5","created_at":"2026-07-05T03:33:36.276382+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.10906","citing_title":"Sheaves of maximal intersection and multiplicities of stable log maps","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F","json":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F.json","graph_json":"https://pith.science/api/pith-number/HQ5OXUL55GGFLQ4ASSD2WPUS3F/graph.json","events_json":"https://pith.science/api/pith-number/HQ5OXUL55GGFLQ4ASSD2WPUS3F/events.json","paper":"https://pith.science/paper/HQ5OXUL5"},"agent_actions":{"view_html":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F","download_json":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F.json","view_paper":"https://pith.science/paper/HQ5OXUL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.04210&json=true","fetch_graph":"https://pith.science/api/pith-number/HQ5OXUL55GGFLQ4ASSD2WPUS3F/graph.json","fetch_events":"https://pith.science/api/pith-number/HQ5OXUL55GGFLQ4ASSD2WPUS3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F/action/storage_attestation","attest_author":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F/action/author_attestation","sign_citation":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F/action/citation_signature","submit_replication":"https://pith.science/pith/HQ5OXUL55GGFLQ4ASSD2WPUS3F/action/replication_record"}},"created_at":"2026-07-05T03:33:36.276382+00:00","updated_at":"2026-07-05T03:33:36.276382+00:00"}