{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4BQLFEBBETBIM2U47ZDWTTFWCO","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":"574e17a760682d25b26617f616bc46b8ddc2b105b17e2995e1504c96f18844f6","cross_cats_sorted":["math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T22:38:10Z","title_canon_sha256":"345970657fd1cf51fcd7f9a637aca7be2729807481803ea68f2d15d5416eb8ee"},"schema_version":"1.0","source":{"id":"1311.2637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2637","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2637v1","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2637","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"4BQLFEBBETBI","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4BQLFEBBETBIM2U4","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4BQLFEBB","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:ae5c934fc3285a1f25e699a2f81f29965a1da93c027a063d0c285b6b1239a774","target":"graph","created_at":"2026-05-18T03:07:22Z","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":"Previously, self-dual codes have been constructed from weighing matrices, and in particular from conference matrices (skew and symmetric). In this paper, codes constructed from matrices of skew symmetric type whose determinants reach the Ehlich-Wojtas' bound are presented. A necessary and sufficient condition for these codes to be self-dual is given, and examples are provided for lengths up to 52.","authors_text":"Jos\\'e Andr\\'es Armario, Mar\\'ia Dolores Frau","cross_cats":["math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T22:38:10Z","title":"Self-Dual codes from $(-1,1)$-matrices of skew symmetric type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2637","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":"sha256:6230f36c46be4d7ed265563f80c623f462a23cedb58e5331473ec65a862b5029","target":"record","created_at":"2026-05-18T03:07:22Z","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":"574e17a760682d25b26617f616bc46b8ddc2b105b17e2995e1504c96f18844f6","cross_cats_sorted":["math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T22:38:10Z","title_canon_sha256":"345970657fd1cf51fcd7f9a637aca7be2729807481803ea68f2d15d5416eb8ee"},"schema_version":"1.0","source":{"id":"1311.2637","kind":"arxiv","version":1}},"canonical_sha256":"e060b2902124c2866a9cfe4769ccb613a55dfa083d6aafa773da131de41adbc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e060b2902124c2866a9cfe4769ccb613a55dfa083d6aafa773da131de41adbc9","first_computed_at":"2026-05-18T03:07:22.284121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:22.284121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gXV1apU4lTZ+N2kd+UjU3oLZsnDG9+oGzdXLo8KHip90Zp5RGjenztuUvGOMVdcNpftwvKOAvdo1J/XsXMG1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:22.284798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6230f36c46be4d7ed265563f80c623f462a23cedb58e5331473ec65a862b5029","sha256:ae5c934fc3285a1f25e699a2f81f29965a1da93c027a063d0c285b6b1239a774"],"state_sha256":"c0492cd3d5385ca9b4f49cf462953f9660724223d2f67180042b3ef30f999f57"}