{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:Y52ZSJWYVHZLCM7EVJBZUL4Y6P","short_pith_number":"pith:Y52ZSJWY","schema_version":"1.0","canonical_sha256":"c7759926d8a9f2b133e4aa439a2f98f3ef87c63ec15437ee3ed4183e57891271","source":{"kind":"arxiv","id":"1108.4227","version":1},"attestation_state":"computed","paper":{"title":"Rational curves with many rational points over a finite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Masaaki Homma, Satoru Fukasawa, Seon Jeong Kim","submitted_at":"2011-08-22T02:03:02Z","abstract_excerpt":"We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational curves. The configuration of its rational points and a generalization of the curve are also presented."},"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":"1108.4227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-08-22T02:03:02Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"6eda56d5ad536ebb33a6a73385f244b0c6a0e1c982a550ee88b2b33e8fd5082c","abstract_canon_sha256":"3c6409c6c20a4ae6f6317446cd8955ef36fe556f94eb905310b095dfcf99d845"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:55.892891Z","signature_b64":"nrVzYKxqztMm01ruwrdBz/Vi+y3gXs8VbNPj3S6+0fPYa2c5PQlEkAn7/FAb7idWTVpIyDkjbClHTAAdD736DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7759926d8a9f2b133e4aa439a2f98f3ef87c63ec15437ee3ed4183e57891271","last_reissued_at":"2026-05-18T04:14:55.892180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:55.892180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational curves with many rational points over a finite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Masaaki Homma, Satoru Fukasawa, Seon Jeong Kim","submitted_at":"2011-08-22T02:03:02Z","abstract_excerpt":"We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational curves. The configuration of its rational points and a generalization of the curve are also presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4227","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":"1108.4227","created_at":"2026-05-18T04:14:55.892303+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.4227v1","created_at":"2026-05-18T04:14:55.892303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4227","created_at":"2026-05-18T04:14:55.892303+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y52ZSJWYVHZL","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y52ZSJWYVHZLCM7E","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y52ZSJWY","created_at":"2026-05-18T12:26:47.523578+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/Y52ZSJWYVHZLCM7EVJBZUL4Y6P","json":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P.json","graph_json":"https://pith.science/api/pith-number/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/graph.json","events_json":"https://pith.science/api/pith-number/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/events.json","paper":"https://pith.science/paper/Y52ZSJWY"},"agent_actions":{"view_html":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P","download_json":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P.json","view_paper":"https://pith.science/paper/Y52ZSJWY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.4227&json=true","fetch_graph":"https://pith.science/api/pith-number/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/graph.json","fetch_events":"https://pith.science/api/pith-number/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/action/storage_attestation","attest_author":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/action/author_attestation","sign_citation":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/action/citation_signature","submit_replication":"https://pith.science/pith/Y52ZSJWYVHZLCM7EVJBZUL4Y6P/action/replication_record"}},"created_at":"2026-05-18T04:14:55.892303+00:00","updated_at":"2026-05-18T04:14:55.892303+00:00"}