{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:VBGYEWK6MECAJP6YLMPD5I5EJJ","short_pith_number":"pith:VBGYEWK6","schema_version":"1.0","canonical_sha256":"a84d82595e610404bfd85b1e3ea3a44a7904efb5a16467f027a1aec07585e332","source":{"kind":"arxiv","id":"1004.0981","version":2},"attestation_state":"computed","paper":{"title":"Relative and orbifold Gromov-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Cadman, Dan Abramovich, Jonathan Wise","submitted_at":"2010-04-06T22:16:03Z","abstract_excerpt":"We prove that genus zero Gromov--Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus zero orbifold Gromov--Witten invariants of an appropriate root stack construction along the divisor."},"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":"1004.0981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-06T22:16:03Z","cross_cats_sorted":[],"title_canon_sha256":"8cb175f94a4060cecaa09b964a90c2012e247c15034d0ea6eab8755a7475ca2c","abstract_canon_sha256":"1872efbd6fcdafabb93560d02968b8013dab07b65e0d12fc500f73bb8ae5941a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:31.887693Z","signature_b64":"O2bb8M4cBTkZwqbYepNIFZL8xrmqNlBxMVBAdlNI39fsmWka2FPmbvJ3lyHBKG5Ehbuoj28zUuwh4/Q1idnlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a84d82595e610404bfd85b1e3ea3a44a7904efb5a16467f027a1aec07585e332","last_reissued_at":"2026-05-18T02:18:31.887194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:31.887194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relative and orbifold Gromov-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Cadman, Dan Abramovich, Jonathan Wise","submitted_at":"2010-04-06T22:16:03Z","abstract_excerpt":"We prove that genus zero Gromov--Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus zero orbifold Gromov--Witten invariants of an appropriate root stack construction along the divisor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0981","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":"1004.0981","created_at":"2026-05-18T02:18:31.887260+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.0981v2","created_at":"2026-05-18T02:18:31.887260+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0981","created_at":"2026-05-18T02:18:31.887260+00:00"},{"alias_kind":"pith_short_12","alias_value":"VBGYEWK6MECA","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"VBGYEWK6MECAJP6Y","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"VBGYEWK6","created_at":"2026-05-18T12:26:15.391820+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/VBGYEWK6MECAJP6YLMPD5I5EJJ","json":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ.json","graph_json":"https://pith.science/api/pith-number/VBGYEWK6MECAJP6YLMPD5I5EJJ/graph.json","events_json":"https://pith.science/api/pith-number/VBGYEWK6MECAJP6YLMPD5I5EJJ/events.json","paper":"https://pith.science/paper/VBGYEWK6"},"agent_actions":{"view_html":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ","download_json":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ.json","view_paper":"https://pith.science/paper/VBGYEWK6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.0981&json=true","fetch_graph":"https://pith.science/api/pith-number/VBGYEWK6MECAJP6YLMPD5I5EJJ/graph.json","fetch_events":"https://pith.science/api/pith-number/VBGYEWK6MECAJP6YLMPD5I5EJJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ/action/storage_attestation","attest_author":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ/action/author_attestation","sign_citation":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ/action/citation_signature","submit_replication":"https://pith.science/pith/VBGYEWK6MECAJP6YLMPD5I5EJJ/action/replication_record"}},"created_at":"2026-05-18T02:18:31.887260+00:00","updated_at":"2026-05-18T02:18:31.887260+00:00"}