{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PLIHQ7744NETO6SSG24ICI6IDK","short_pith_number":"pith:PLIHQ774","schema_version":"1.0","canonical_sha256":"7ad0787ffce349377a5236b88123c81aa17eddea883f009e60a1601d6f3fbfa7","source":{"kind":"arxiv","id":"1304.2038","version":3},"attestation_state":"computed","paper":{"title":"On Cremona Transformations of P^3 with all possible bidegrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Pan","submitted_at":"2013-04-07T18:30:13Z","abstract_excerpt":"We construct Cremona transformations of P^3 with bidegrees (d,e), where d<e^2+1, e< d^2+1 and d,e> 0."},"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":"1304.2038","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-07T18:30:13Z","cross_cats_sorted":[],"title_canon_sha256":"6cf786a53bcf90c0ccc3a699fb908c82f9b5006ff4b43ccca2ee4424b850fbdb","abstract_canon_sha256":"147446a134bbdd120e24ea642b3fc82a7de9d4244918103d6ee30a45bc2f8369"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:10.399729Z","signature_b64":"R5d//BXOWtjO/DrRUcWcBnCaNDYunWhTxJJgQebZdB4pyyjEL4cPJiqUYhfTjkGxXEC7g1AY1xgyLG6sBZ7TBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ad0787ffce349377a5236b88123c81aa17eddea883f009e60a1601d6f3fbfa7","last_reissued_at":"2026-05-18T03:13:10.399105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:10.399105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Cremona Transformations of P^3 with all possible bidegrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Pan","submitted_at":"2013-04-07T18:30:13Z","abstract_excerpt":"We construct Cremona transformations of P^3 with bidegrees (d,e), where d<e^2+1, e< d^2+1 and d,e> 0."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2038","kind":"arxiv","version":3},"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":"1304.2038","created_at":"2026-05-18T03:13:10.399185+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2038v3","created_at":"2026-05-18T03:13:10.399185+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2038","created_at":"2026-05-18T03:13:10.399185+00:00"},{"alias_kind":"pith_short_12","alias_value":"PLIHQ7744NET","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PLIHQ7744NETO6SS","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PLIHQ774","created_at":"2026-05-18T12:27:54.935989+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/PLIHQ7744NETO6SSG24ICI6IDK","json":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK.json","graph_json":"https://pith.science/api/pith-number/PLIHQ7744NETO6SSG24ICI6IDK/graph.json","events_json":"https://pith.science/api/pith-number/PLIHQ7744NETO6SSG24ICI6IDK/events.json","paper":"https://pith.science/paper/PLIHQ774"},"agent_actions":{"view_html":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK","download_json":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK.json","view_paper":"https://pith.science/paper/PLIHQ774","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2038&json=true","fetch_graph":"https://pith.science/api/pith-number/PLIHQ7744NETO6SSG24ICI6IDK/graph.json","fetch_events":"https://pith.science/api/pith-number/PLIHQ7744NETO6SSG24ICI6IDK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK/action/storage_attestation","attest_author":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK/action/author_attestation","sign_citation":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK/action/citation_signature","submit_replication":"https://pith.science/pith/PLIHQ7744NETO6SSG24ICI6IDK/action/replication_record"}},"created_at":"2026-05-18T03:13:10.399185+00:00","updated_at":"2026-05-18T03:13:10.399185+00:00"}