{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6ZYDWWE3ILZQIQ2324AWG2FZEK","short_pith_number":"pith:6ZYDWWE3","schema_version":"1.0","canonical_sha256":"f6703b589b42f304435bd7016368b922a202e5cb8bcfa9884468239ce44062ba","source":{"kind":"arxiv","id":"1905.01936","version":1},"attestation_state":"computed","paper":{"title":"Rational cubic fourfolds in Hassett divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Song Yang, Xun Yu","submitted_at":"2019-05-06T11:30:49Z","abstract_excerpt":"We prove that every Hassett's Noether-Lefschetz divisor of special cubic fourfolds contains a union of three codimension-two subvarieties, parametrizing rational cubic fourfolds, in the moduli space of smooth cubic fourfolds."},"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":"1905.01936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-06T11:30:49Z","cross_cats_sorted":[],"title_canon_sha256":"9ee7ba8c3fa93c65a5c742d62ad80749fe5ade5dd54ce85421fc1b33ca2348a7","abstract_canon_sha256":"91ebfa5c7dd0f4ab8604669da9d25d799392e084a56a3ff511f92432a10f87ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:56.973240Z","signature_b64":"gw6XwFa0sm5bqCVO7K3rlzysnROJ7kug6LUO1RBhPqrGiIL1bTGEfjHXAejBrQko4GJQlqk1WTU8NGayqnuWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6703b589b42f304435bd7016368b922a202e5cb8bcfa9884468239ce44062ba","last_reissued_at":"2026-05-17T23:46:56.972697Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:56.972697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational cubic fourfolds in Hassett divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Song Yang, Xun Yu","submitted_at":"2019-05-06T11:30:49Z","abstract_excerpt":"We prove that every Hassett's Noether-Lefschetz divisor of special cubic fourfolds contains a union of three codimension-two subvarieties, parametrizing rational cubic fourfolds, in the moduli space of smooth cubic fourfolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01936","kind":"arxiv","version":1},"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":"1905.01936","created_at":"2026-05-17T23:46:56.972785+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.01936v1","created_at":"2026-05-17T23:46:56.972785+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01936","created_at":"2026-05-17T23:46:56.972785+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZYDWWE3ILZQ","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZYDWWE3ILZQIQ23","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZYDWWE3","created_at":"2026-05-18T12:33:10.108867+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/6ZYDWWE3ILZQIQ2324AWG2FZEK","json":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK.json","graph_json":"https://pith.science/api/pith-number/6ZYDWWE3ILZQIQ2324AWG2FZEK/graph.json","events_json":"https://pith.science/api/pith-number/6ZYDWWE3ILZQIQ2324AWG2FZEK/events.json","paper":"https://pith.science/paper/6ZYDWWE3"},"agent_actions":{"view_html":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK","download_json":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK.json","view_paper":"https://pith.science/paper/6ZYDWWE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.01936&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZYDWWE3ILZQIQ2324AWG2FZEK/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZYDWWE3ILZQIQ2324AWG2FZEK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK/action/storage_attestation","attest_author":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK/action/author_attestation","sign_citation":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK/action/citation_signature","submit_replication":"https://pith.science/pith/6ZYDWWE3ILZQIQ2324AWG2FZEK/action/replication_record"}},"created_at":"2026-05-17T23:46:56.972785+00:00","updated_at":"2026-05-17T23:46:56.972785+00:00"}