{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4ESF4VTHCWJPIMGB4NBS7VICBO","short_pith_number":"pith:4ESF4VTH","schema_version":"1.0","canonical_sha256":"e1245e56671592f430c1e3432fd5020bab0ae7cbb4b3d328df6604763c59d67f","source":{"kind":"arxiv","id":"1410.7320","version":3},"attestation_state":"computed","paper":{"title":"Hypersurfaces achieving the Homma-Kim bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andrea Luigi Tironi","submitted_at":"2014-10-27T17:19:41Z","abstract_excerpt":"Let $X$ be a hypersurface in $\\mathbb{P}^N$ with $N\\geq 3$ defined over a finite field. The main result of this note is the classification, up to projective equivalence, of hypersurfaces $X$ as above without a linear component when the number of their rational points achieves the Homma-Kim bound."},"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":"1410.7320","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-27T17:19:41Z","cross_cats_sorted":[],"title_canon_sha256":"887e9b6902b16bd8614f77c65e704b2ef9aeb418f031a64ce432f82cb4fea5be","abstract_canon_sha256":"a79f978d86e5bf11658388a85752740f90df3038b5ab2c2d1f443ac42f2cad70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:01.163414Z","signature_b64":"+P0kEbBIdt8kKesU8OtkS7VsDmvoujp1yFzTZb19MlcKx80xXIuQqBqZ2c7J2TdUi6sRgHREypIPpGsEyzSGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1245e56671592f430c1e3432fd5020bab0ae7cbb4b3d328df6604763c59d67f","last_reissued_at":"2026-05-18T01:17:01.162646Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:01.162646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hypersurfaces achieving the Homma-Kim bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andrea Luigi Tironi","submitted_at":"2014-10-27T17:19:41Z","abstract_excerpt":"Let $X$ be a hypersurface in $\\mathbb{P}^N$ with $N\\geq 3$ defined over a finite field. The main result of this note is the classification, up to projective equivalence, of hypersurfaces $X$ as above without a linear component when the number of their rational points achieves the Homma-Kim bound."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7320","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":"1410.7320","created_at":"2026-05-18T01:17:01.162787+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.7320v3","created_at":"2026-05-18T01:17:01.162787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7320","created_at":"2026-05-18T01:17:01.162787+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ESF4VTHCWJP","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ESF4VTHCWJPIMGB","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ESF4VTH","created_at":"2026-05-18T12:28:14.216126+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/4ESF4VTHCWJPIMGB4NBS7VICBO","json":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO.json","graph_json":"https://pith.science/api/pith-number/4ESF4VTHCWJPIMGB4NBS7VICBO/graph.json","events_json":"https://pith.science/api/pith-number/4ESF4VTHCWJPIMGB4NBS7VICBO/events.json","paper":"https://pith.science/paper/4ESF4VTH"},"agent_actions":{"view_html":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO","download_json":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO.json","view_paper":"https://pith.science/paper/4ESF4VTH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.7320&json=true","fetch_graph":"https://pith.science/api/pith-number/4ESF4VTHCWJPIMGB4NBS7VICBO/graph.json","fetch_events":"https://pith.science/api/pith-number/4ESF4VTHCWJPIMGB4NBS7VICBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO/action/storage_attestation","attest_author":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO/action/author_attestation","sign_citation":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO/action/citation_signature","submit_replication":"https://pith.science/pith/4ESF4VTHCWJPIMGB4NBS7VICBO/action/replication_record"}},"created_at":"2026-05-18T01:17:01.162787+00:00","updated_at":"2026-05-18T01:17:01.162787+00:00"}