{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:6RZDYOSIF7DOYXVE37AXQY7JH3","short_pith_number":"pith:6RZDYOSI","schema_version":"1.0","canonical_sha256":"f4723c3a482fc6ec5ea4dfc17863e93ec7622a9429cdf857e129b4eab7e84d53","source":{"kind":"arxiv","id":"math/0403018","version":1},"attestation_state":"computed","paper":{"title":"Cusps and Codes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Slawomir Rams, Wolf P. Barth","submitted_at":"2004-03-01T13:13:32Z","abstract_excerpt":"We study a construction, which produces surfaces $Y \\subset P_3$ with cusps. For example we obtain surfaces of degree six with 18, 24 or 27 three-divisible cusps. For sextic surfaces in a particular family of up to 30 cusps the codes of these sets of cusps are determined explicitly."},"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":"math/0403018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2004-03-01T13:13:32Z","cross_cats_sorted":[],"title_canon_sha256":"68eca3f733590e66f4f0432fcfbeced2d8b3e6cfdff9e718eaeee156bc176e1f","abstract_canon_sha256":"6247737c05ab445e4d68d312c0b2340acf9008a7b7aa9eced13f4a0797d2b54e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:58.193770Z","signature_b64":"eVLKzwmUhUWAYtXVxAVB7JI21uS1mj0iv3SwQkHW0+c+9WG5T/kmzwkvDYtNc0pMNN+vX+ex+VtZj9R8W38LCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4723c3a482fc6ec5ea4dfc17863e93ec7622a9429cdf857e129b4eab7e84d53","last_reissued_at":"2026-05-18T03:44:58.192026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:58.192026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cusps and Codes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Slawomir Rams, Wolf P. Barth","submitted_at":"2004-03-01T13:13:32Z","abstract_excerpt":"We study a construction, which produces surfaces $Y \\subset P_3$ with cusps. For example we obtain surfaces of degree six with 18, 24 or 27 three-divisible cusps. For sextic surfaces in a particular family of up to 30 cusps the codes of these sets of cusps are determined explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0403018","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":"math/0403018","created_at":"2026-05-18T03:44:58.192147+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0403018v1","created_at":"2026-05-18T03:44:58.192147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0403018","created_at":"2026-05-18T03:44:58.192147+00:00"},{"alias_kind":"pith_short_12","alias_value":"6RZDYOSIF7DO","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"6RZDYOSIF7DOYXVE","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"6RZDYOSI","created_at":"2026-05-18T12:25:52.051335+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/6RZDYOSIF7DOYXVE37AXQY7JH3","json":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3.json","graph_json":"https://pith.science/api/pith-number/6RZDYOSIF7DOYXVE37AXQY7JH3/graph.json","events_json":"https://pith.science/api/pith-number/6RZDYOSIF7DOYXVE37AXQY7JH3/events.json","paper":"https://pith.science/paper/6RZDYOSI"},"agent_actions":{"view_html":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3","download_json":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3.json","view_paper":"https://pith.science/paper/6RZDYOSI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0403018&json=true","fetch_graph":"https://pith.science/api/pith-number/6RZDYOSIF7DOYXVE37AXQY7JH3/graph.json","fetch_events":"https://pith.science/api/pith-number/6RZDYOSIF7DOYXVE37AXQY7JH3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3/action/storage_attestation","attest_author":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3/action/author_attestation","sign_citation":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3/action/citation_signature","submit_replication":"https://pith.science/pith/6RZDYOSIF7DOYXVE37AXQY7JH3/action/replication_record"}},"created_at":"2026-05-18T03:44:58.192147+00:00","updated_at":"2026-05-18T03:44:58.192147+00:00"}