{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:H67YQ7DXAPDNFWJGTHTZWMKOJV","short_pith_number":"pith:H67YQ7DX","schema_version":"1.0","canonical_sha256":"3fbf887c7703c6d2d92699e79b314e4d58169ccc988f086b952fcec720cd049b","source":{"kind":"arxiv","id":"1202.0894","version":3},"attestation_state":"computed","paper":{"title":"A zero-dimensional approach to Hermitian codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alberto Ravagnani, Edoardo Ballico","submitted_at":"2012-02-04T12:50:40Z","abstract_excerpt":"We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian $s$-point codes, describing the geometry of their dual minimum-weight codewords."},"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":"1202.0894","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-04T12:50:40Z","cross_cats_sorted":[],"title_canon_sha256":"4decd65b49c816ad08fe1e5ddfc0d95a281b58223220ef6290d385db67559dd7","abstract_canon_sha256":"0846d16c280b190b392afcf0ae636caa8059a4e7b88bcad1dea13469694c0bce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:59.767547Z","signature_b64":"93KIZqNe0lNOKbv3lb+h5jlyMEHBAYiNW5ROcbzcl8v9y1CDWq460Vh0TBJN7+e/8PAzZs30Min+yMvyoRsYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fbf887c7703c6d2d92699e79b314e4d58169ccc988f086b952fcec720cd049b","last_reissued_at":"2026-05-18T03:04:59.767131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:59.767131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A zero-dimensional approach to Hermitian codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alberto Ravagnani, Edoardo Ballico","submitted_at":"2012-02-04T12:50:40Z","abstract_excerpt":"We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian $s$-point codes, describing the geometry of their dual minimum-weight codewords."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0894","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":"1202.0894","created_at":"2026-05-18T03:04:59.767187+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.0894v3","created_at":"2026-05-18T03:04:59.767187+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0894","created_at":"2026-05-18T03:04:59.767187+00:00"},{"alias_kind":"pith_short_12","alias_value":"H67YQ7DXAPDN","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"H67YQ7DXAPDNFWJG","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"H67YQ7DX","created_at":"2026-05-18T12:27:06.952714+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/H67YQ7DXAPDNFWJGTHTZWMKOJV","json":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV.json","graph_json":"https://pith.science/api/pith-number/H67YQ7DXAPDNFWJGTHTZWMKOJV/graph.json","events_json":"https://pith.science/api/pith-number/H67YQ7DXAPDNFWJGTHTZWMKOJV/events.json","paper":"https://pith.science/paper/H67YQ7DX"},"agent_actions":{"view_html":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV","download_json":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV.json","view_paper":"https://pith.science/paper/H67YQ7DX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.0894&json=true","fetch_graph":"https://pith.science/api/pith-number/H67YQ7DXAPDNFWJGTHTZWMKOJV/graph.json","fetch_events":"https://pith.science/api/pith-number/H67YQ7DXAPDNFWJGTHTZWMKOJV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV/action/storage_attestation","attest_author":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV/action/author_attestation","sign_citation":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV/action/citation_signature","submit_replication":"https://pith.science/pith/H67YQ7DXAPDNFWJGTHTZWMKOJV/action/replication_record"}},"created_at":"2026-05-18T03:04:59.767187+00:00","updated_at":"2026-05-18T03:04:59.767187+00:00"}