{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:L7SZIDUNE4RR2XGFYEJ4CFJ3D6","short_pith_number":"pith:L7SZIDUN","schema_version":"1.0","canonical_sha256":"5fe5940e8d27231d5cc5c113c1153b1fa17a8e4182af971071568a093f571df5","source":{"kind":"arxiv","id":"1301.3671","version":2},"attestation_state":"computed","paper":{"title":"Some new orders of Hadamard and skew-Hadamard matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dragomir Z. Djokovic, Ilias S. Kotsireas, Oleg Golubitsky","submitted_at":"2013-01-16T12:26:19Z","abstract_excerpt":"We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not been constructed previously. The constructions use the Goethals-Seidel array, suitable supplementary difference sets on a cyclic group and a new efficient matching algorithm based on hashing techniques."},"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":"1301.3671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-01-16T12:26:19Z","cross_cats_sorted":[],"title_canon_sha256":"b3a0f508c40f83249d23df8fa4701ba128f1dc65fb7b225c28cc1c628279c5dd","abstract_canon_sha256":"bbfd154a786df12439935cfb7c9a2c355a2f60e43f80f9e8ba6548005c1e67dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:54.209152Z","signature_b64":"/N8l/PG+fbYrEvFAgSSEtoOvmVTTlNO3djUkE2DVhAH7+8aQwPM35F4o1jgTx9YFPV8uqRkkYqA5hP0mEm/EAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe5940e8d27231d5cc5c113c1153b1fa17a8e4182af971071568a093f571df5","last_reissued_at":"2026-05-18T02:49:54.208545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:54.208545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some new orders of Hadamard and skew-Hadamard matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dragomir Z. Djokovic, Ilias S. Kotsireas, Oleg Golubitsky","submitted_at":"2013-01-16T12:26:19Z","abstract_excerpt":"We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not been constructed previously. The constructions use the Goethals-Seidel array, suitable supplementary difference sets on a cyclic group and a new efficient matching algorithm based on hashing techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3671","kind":"arxiv","version":2},"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":"1301.3671","created_at":"2026-05-18T02:49:54.208627+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3671v2","created_at":"2026-05-18T02:49:54.208627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3671","created_at":"2026-05-18T02:49:54.208627+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7SZIDUNE4RR","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7SZIDUNE4RR2XGF","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7SZIDUN","created_at":"2026-05-18T12:27:51.066281+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/L7SZIDUNE4RR2XGFYEJ4CFJ3D6","json":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6.json","graph_json":"https://pith.science/api/pith-number/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/graph.json","events_json":"https://pith.science/api/pith-number/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/events.json","paper":"https://pith.science/paper/L7SZIDUN"},"agent_actions":{"view_html":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6","download_json":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6.json","view_paper":"https://pith.science/paper/L7SZIDUN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3671&json=true","fetch_graph":"https://pith.science/api/pith-number/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/graph.json","fetch_events":"https://pith.science/api/pith-number/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/action/storage_attestation","attest_author":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/action/author_attestation","sign_citation":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/action/citation_signature","submit_replication":"https://pith.science/pith/L7SZIDUNE4RR2XGFYEJ4CFJ3D6/action/replication_record"}},"created_at":"2026-05-18T02:49:54.208627+00:00","updated_at":"2026-05-18T02:49:54.208627+00:00"}