{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UR5LLAHDWNXQXMU5UZNZK4XAV3","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":"7acd7465b7042f35d798ea39dc3a869b68231f7e33594b06853ee0ddcf095e1d","cross_cats_sorted":["math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-04T10:26:24Z","title_canon_sha256":"defd6c9bb86862b53bce3fb97e7fb31893947ac4f0612e9ae269fc606c41c2d4"},"schema_version":"1.0","source":{"id":"2506.03805","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03805","created_at":"2026-07-05T11:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03805v1","created_at":"2026-07-05T11:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03805","created_at":"2026-07-05T11:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"UR5LLAHDWNXQ","created_at":"2026-07-05T11:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"UR5LLAHDWNXQXMU5","created_at":"2026-07-05T11:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"UR5LLAHD","created_at":"2026-07-05T11:15:52Z"}],"graph_snapshots":[{"event_id":"sha256:99e299464c324b796d8bdd80187e3ef2b64ffce3a2ac92e1b5f3944bcddfb1ef","target":"graph","created_at":"2026-07-05T11:15:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.03805/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with $q$ elements and give additive codes over the field with $q^h$ elements whose minimum distance is demonstrably good.","authors_text":"Simeon Ball, Tabriz Popatia","cross_cats":["math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-04T10:26:24Z","title":"Additive codes from linear codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03805","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":"sha256:860c7fcf429a66ce79a4b08e7ae151884310bdfe251b5df92f6f3d34c1b5e28e","target":"record","created_at":"2026-07-05T11:15:52Z","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":"7acd7465b7042f35d798ea39dc3a869b68231f7e33594b06853ee0ddcf095e1d","cross_cats_sorted":["math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-04T10:26:24Z","title_canon_sha256":"defd6c9bb86862b53bce3fb97e7fb31893947ac4f0612e9ae269fc606c41c2d4"},"schema_version":"1.0","source":{"id":"2506.03805","kind":"arxiv","version":1}},"canonical_sha256":"a47ab580e3b36f0bb29da65b9572e0aecd40063f2fae7c81a38800464de33c51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a47ab580e3b36f0bb29da65b9572e0aecd40063f2fae7c81a38800464de33c51","first_computed_at":"2026-07-05T11:15:52.096654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:52.096654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JlqHv1okxihFdOacUBM/E89DDt1EaUoFiSLh+q7Ppg5fTZGekyEF9xVs/zsulLGFYpsOZm/E0Y9k/JWicyWQBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:52.097069Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.03805","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:860c7fcf429a66ce79a4b08e7ae151884310bdfe251b5df92f6f3d34c1b5e28e","sha256:99e299464c324b796d8bdd80187e3ef2b64ffce3a2ac92e1b5f3944bcddfb1ef"],"state_sha256":"0666ab9cfa0e6e9cae4d13d7730fc0a01e819549d394988cb05fe419e5c27334"}