{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:M7XFGMPPV5DR5KP5EZAIVIKTMS","short_pith_number":"pith:M7XFGMPP","schema_version":"1.0","canonical_sha256":"67ee5331efaf471ea9fd26408aa15364ac223cbea2cd5480afa19923767b160d","source":{"kind":"arxiv","id":"1905.09366","version":1},"attestation_state":"computed","paper":{"title":"On the Schottky problem for genus five Jacobians with a vanishing theta null","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Daniele Agostini, Lynn Chua","submitted_at":"2019-05-22T21:15:39Z","abstract_excerpt":"We give a solution to the weak Schottky problem for genus five Jacobians with a vanishing theta null, answering a question of Grushevsky and Salvati Manni. More precisely, we show that if a principally polarized abelian variety of dimension five has a vanishing theta null with a quadric tangent cone of rank at most three, then it is in the Jacobian locus, up to extra irreducible components. We employ a degeneration argument, together with a study of the ramification loci for the Gauss map of a theta 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":"1905.09366","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-22T21:15:39Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6c734ae4314c1125f84253cbd02e5734c09a17070c90892f0ca1219aca7c4d68","abstract_canon_sha256":"f57500def294eabe233a4e3f240989347ec03497e6c15df625ec194cf943f5a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:19.450123Z","signature_b64":"JH9eUnxLlF34iP0Wd5IxP625uy6tD7Ubm/FPidV9L8tCHpKy90xIoOuPkpUclr7TRFnpOWscCgC1+AwsPq87DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67ee5331efaf471ea9fd26408aa15364ac223cbea2cd5480afa19923767b160d","last_reissued_at":"2026-05-17T23:45:19.449407Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:19.449407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Schottky problem for genus five Jacobians with a vanishing theta null","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Daniele Agostini, Lynn Chua","submitted_at":"2019-05-22T21:15:39Z","abstract_excerpt":"We give a solution to the weak Schottky problem for genus five Jacobians with a vanishing theta null, answering a question of Grushevsky and Salvati Manni. More precisely, we show that if a principally polarized abelian variety of dimension five has a vanishing theta null with a quadric tangent cone of rank at most three, then it is in the Jacobian locus, up to extra irreducible components. We employ a degeneration argument, together with a study of the ramification loci for the Gauss map of a theta divisor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09366","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":"1905.09366","created_at":"2026-05-17T23:45:19.449519+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.09366v1","created_at":"2026-05-17T23:45:19.449519+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09366","created_at":"2026-05-17T23:45:19.449519+00:00"},{"alias_kind":"pith_short_12","alias_value":"M7XFGMPPV5DR","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"M7XFGMPPV5DR5KP5","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"M7XFGMPP","created_at":"2026-05-18T12:33:21.387695+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/M7XFGMPPV5DR5KP5EZAIVIKTMS","json":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS.json","graph_json":"https://pith.science/api/pith-number/M7XFGMPPV5DR5KP5EZAIVIKTMS/graph.json","events_json":"https://pith.science/api/pith-number/M7XFGMPPV5DR5KP5EZAIVIKTMS/events.json","paper":"https://pith.science/paper/M7XFGMPP"},"agent_actions":{"view_html":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS","download_json":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS.json","view_paper":"https://pith.science/paper/M7XFGMPP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.09366&json=true","fetch_graph":"https://pith.science/api/pith-number/M7XFGMPPV5DR5KP5EZAIVIKTMS/graph.json","fetch_events":"https://pith.science/api/pith-number/M7XFGMPPV5DR5KP5EZAIVIKTMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS/action/storage_attestation","attest_author":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS/action/author_attestation","sign_citation":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS/action/citation_signature","submit_replication":"https://pith.science/pith/M7XFGMPPV5DR5KP5EZAIVIKTMS/action/replication_record"}},"created_at":"2026-05-17T23:45:19.449519+00:00","updated_at":"2026-05-17T23:45:19.449519+00:00"}