{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:M6DJCXEUXZ2GJ5WMVTEAMOFH46","short_pith_number":"pith:M6DJCXEU","schema_version":"1.0","canonical_sha256":"6786915c94be7464f6ccacc80638a7e78d6a0051a1d4b9834eac98baf317d195","source":{"kind":"arxiv","id":"1508.02560","version":2},"attestation_state":"computed","paper":{"title":"Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\\mathbb C P^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Erwan Brugalle, Penka Georgieva","submitted_at":"2015-08-11T11:19:49Z","abstract_excerpt":"We establish a formula for the Gromov-Witten-Welschinger invariants of $\\mathbb CP^3$ with mixed real and conjugate point constraints. The method is based on a suggestion by J. Koll\\'ar that, considering pencils of quadrics, some real and complex enumerative invariants of $\\mathbb CP^3$ could be computed in terms of enumerative invariants of $\\mathbb CP^1\\times\\mathbb CP^1$ and of elliptic curves."},"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":"1508.02560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-11T11:19:49Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"ae260893adaf440c72b69ca21051e76b7eb294babe6307e94b463a4f3f09c076","abstract_canon_sha256":"ea7708b3a826b6aa0d48c73c22f4a536f4afc9dbde3be03ff51aa160ec8c360f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:40.708213Z","signature_b64":"qOG6vWMH2T8tZ9l9SNwTu5rD0p2Gjb9yVFm3vRVgtDodGGnm0u+TeFUUjg8RrfcfARJr9EhjvxX738WMG04AAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6786915c94be7464f6ccacc80638a7e78d6a0051a1d4b9834eac98baf317d195","last_reissued_at":"2026-05-18T01:19:40.707649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:40.707649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\\mathbb C P^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Erwan Brugalle, Penka Georgieva","submitted_at":"2015-08-11T11:19:49Z","abstract_excerpt":"We establish a formula for the Gromov-Witten-Welschinger invariants of $\\mathbb CP^3$ with mixed real and conjugate point constraints. The method is based on a suggestion by J. Koll\\'ar that, considering pencils of quadrics, some real and complex enumerative invariants of $\\mathbb CP^3$ could be computed in terms of enumerative invariants of $\\mathbb CP^1\\times\\mathbb CP^1$ and of elliptic curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02560","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":"1508.02560","created_at":"2026-05-18T01:19:40.707730+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02560v2","created_at":"2026-05-18T01:19:40.707730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02560","created_at":"2026-05-18T01:19:40.707730+00:00"},{"alias_kind":"pith_short_12","alias_value":"M6DJCXEUXZ2G","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"M6DJCXEUXZ2GJ5WM","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"M6DJCXEU","created_at":"2026-05-18T12:29:32.376354+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/M6DJCXEUXZ2GJ5WMVTEAMOFH46","json":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46.json","graph_json":"https://pith.science/api/pith-number/M6DJCXEUXZ2GJ5WMVTEAMOFH46/graph.json","events_json":"https://pith.science/api/pith-number/M6DJCXEUXZ2GJ5WMVTEAMOFH46/events.json","paper":"https://pith.science/paper/M6DJCXEU"},"agent_actions":{"view_html":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46","download_json":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46.json","view_paper":"https://pith.science/paper/M6DJCXEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02560&json=true","fetch_graph":"https://pith.science/api/pith-number/M6DJCXEUXZ2GJ5WMVTEAMOFH46/graph.json","fetch_events":"https://pith.science/api/pith-number/M6DJCXEUXZ2GJ5WMVTEAMOFH46/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46/action/storage_attestation","attest_author":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46/action/author_attestation","sign_citation":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46/action/citation_signature","submit_replication":"https://pith.science/pith/M6DJCXEUXZ2GJ5WMVTEAMOFH46/action/replication_record"}},"created_at":"2026-05-18T01:19:40.707730+00:00","updated_at":"2026-05-18T01:19:40.707730+00:00"}