{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QHEAWT5RSYNBPUTJFWXDLOAN3V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3d40c62b79196902e5f23b370bc8c7555915cc26ead450b2cdaac6fedd4c6600","cross_cats_sorted":["math.AG","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-26T21:12:08Z","title_canon_sha256":"d4804f13b8ed3bbb232e9531af13ced60be6ad1372de5ba1a6cb540e4cff4077"},"schema_version":"1.0","source":{"id":"1503.07903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07903","created_at":"2026-05-18T02:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07903v1","created_at":"2026-05-18T02:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07903","created_at":"2026-05-18T02:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"QHEAWT5RSYNB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QHEAWT5RSYNBPUTJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QHEAWT5R","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:d1aa0317c0aee1b92324e9681420ad0741f486c546dbd66cd3ccd2c07bb4fc72","target":"graph","created_at":"2026-05-18T02:20:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper is concerned with some Algebraic Geometry codes on Jacobians of genus 2 curves. We derive a lower bound for the minimum distance of these codes from an upper \"Weil type\" bound for the number of rational points on irreducible (possibly singular or non-absolutely irreducible) curves lying on an abelian surface over a finite field.","authors_text":"Safia Haloui","cross_cats":["math.AG","math.IT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-26T21:12:08Z","title":"Codes from Jacobian surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07903","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d150b22ac890ce66ad83a758eac7ac6edaf0c4d2844c54d95d66b76b5f9c5a2d","target":"record","created_at":"2026-05-18T02:20:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3d40c62b79196902e5f23b370bc8c7555915cc26ead450b2cdaac6fedd4c6600","cross_cats_sorted":["math.AG","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-26T21:12:08Z","title_canon_sha256":"d4804f13b8ed3bbb232e9531af13ced60be6ad1372de5ba1a6cb540e4cff4077"},"schema_version":"1.0","source":{"id":"1503.07903","kind":"arxiv","version":1}},"canonical_sha256":"81c80b4fb1961a17d2692dae35b80ddd5671d9f8da5c0fafbec9dfa057599736","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81c80b4fb1961a17d2692dae35b80ddd5671d9f8da5c0fafbec9dfa057599736","first_computed_at":"2026-05-18T02:20:11.983624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:11.983624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EHShDiycYsmr62s1S7ER8m7P+EpZxO2WJFkCJoL7E0i5CKgp/GvjrLLf20DHlnm26E4Ca/cmtkZbR+iWGv1iDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:11.984167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d150b22ac890ce66ad83a758eac7ac6edaf0c4d2844c54d95d66b76b5f9c5a2d","sha256:d1aa0317c0aee1b92324e9681420ad0741f486c546dbd66cd3ccd2c07bb4fc72"],"state_sha256":"42516077a902cc1ca0b03dfca962027cff32df442aa316d1f7266899a6fc8009"}