{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ELE4MWVWMKL7A554EOISOX4PT3","short_pith_number":"pith:ELE4MWVW","schema_version":"1.0","canonical_sha256":"22c9c65ab66297f077bc2391275f8f9ec30a898a510232322e047ef2586e324a","source":{"kind":"arxiv","id":"1708.05098","version":1},"attestation_state":"computed","paper":{"title":"Construction of symmetric Hadamard matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"D. A. Karbovskiy, D. Z. Djokovic, M. B. Sergeev, N. A. Balonin, Y. N. Balonin","submitted_at":"2017-08-16T22:37:18Z","abstract_excerpt":"We systematically explore the new method of construction (known as the propus construction) of symmetric Hadamard matrices for small orders, $4v$. In particular we give the first examples of symmetric Hadamard matrices of order $156=4\\cdot 39$. The smallest $v$ for which symmetric Hadamard matrices of order $4v$ are not known is now $v=47$."},"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":"1708.05098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-16T22:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"a2db01bd29a507776cc519448cbfb236b3012d6729246f507f74f0c51e153137","abstract_canon_sha256":"2fabaf48340c0ab808d02f764318aa984ff74bd02e90acbedaf1ceb09a71ea90"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:29.283675Z","signature_b64":"2fiHMS4DvAhQtO3mZt7XwK1STODaJc9XfQfUizj8e3iJFME/BWoi5AA/q+85g9U8/14eJTEBzUmLNL3kg4jJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22c9c65ab66297f077bc2391275f8f9ec30a898a510232322e047ef2586e324a","last_reissued_at":"2026-05-18T00:26:29.283045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:29.283045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of symmetric Hadamard matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"D. A. Karbovskiy, D. Z. Djokovic, M. B. Sergeev, N. A. Balonin, Y. N. Balonin","submitted_at":"2017-08-16T22:37:18Z","abstract_excerpt":"We systematically explore the new method of construction (known as the propus construction) of symmetric Hadamard matrices for small orders, $4v$. In particular we give the first examples of symmetric Hadamard matrices of order $156=4\\cdot 39$. The smallest $v$ for which symmetric Hadamard matrices of order $4v$ are not known is now $v=47$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05098","kind":"arxiv","version":1},"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":"1708.05098","created_at":"2026-05-18T00:26:29.283142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05098v1","created_at":"2026-05-18T00:26:29.283142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05098","created_at":"2026-05-18T00:26:29.283142+00:00"},{"alias_kind":"pith_short_12","alias_value":"ELE4MWVWMKL7","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"ELE4MWVWMKL7A554","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"ELE4MWVW","created_at":"2026-05-18T12:31:12.930513+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/ELE4MWVWMKL7A554EOISOX4PT3","json":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3.json","graph_json":"https://pith.science/api/pith-number/ELE4MWVWMKL7A554EOISOX4PT3/graph.json","events_json":"https://pith.science/api/pith-number/ELE4MWVWMKL7A554EOISOX4PT3/events.json","paper":"https://pith.science/paper/ELE4MWVW"},"agent_actions":{"view_html":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3","download_json":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3.json","view_paper":"https://pith.science/paper/ELE4MWVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05098&json=true","fetch_graph":"https://pith.science/api/pith-number/ELE4MWVWMKL7A554EOISOX4PT3/graph.json","fetch_events":"https://pith.science/api/pith-number/ELE4MWVWMKL7A554EOISOX4PT3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3/action/storage_attestation","attest_author":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3/action/author_attestation","sign_citation":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3/action/citation_signature","submit_replication":"https://pith.science/pith/ELE4MWVWMKL7A554EOISOX4PT3/action/replication_record"}},"created_at":"2026-05-18T00:26:29.283142+00:00","updated_at":"2026-05-18T00:26:29.283142+00:00"}