{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BNBVPNPYUTVSQUTN5UWNI5GSWM","short_pith_number":"pith:BNBVPNPY","schema_version":"1.0","canonical_sha256":"0b4357b5f8a4eb28526ded2cd474d2b329f6676627fd9a2c2c302ada6d4d7bba","source":{"kind":"arxiv","id":"1106.1347","version":1},"attestation_state":"computed","paper":{"title":"Methods of Matrix Multiplication: An Overview of Several Methods and their Implementation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.MS","authors_text":"Ivo Hedtke","submitted_at":"2011-06-03T09:17:11Z","abstract_excerpt":"In this overview article we present several methods for multiplying matrices and the implementation of these methods in C. Also a little test program is given to compare their running time and the numerical stability.\n  The methods are: naive method, naive method working on arrays, naive method with the \\textsc{Kahan} trick, three methods with loop unrolling, winograd method and the scaled variant, original \\textsc{Strassen} method and the \\textsc{Strassen}-\\textsc{Winograd} variant.\n  Please note, that this is the FIRST version. The algorithms are not well tested and the implementation is not"},"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":"1106.1347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2011-06-03T09:17:11Z","cross_cats_sorted":[],"title_canon_sha256":"31ad995c5b6e4d16331b9f7dc3a741e8cd623d74f95c1f85e4fc884bcbaa42f0","abstract_canon_sha256":"4af0ddabf83d04fa4ab3084d57bec14b1a668cb52256e13b9732b5492994cb53"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:23.870865Z","signature_b64":"gQ0jLpOK76HvZfhRQB6uhoAtem5BFN6Fy1wkaQ0uJ3BuRzsmjPpct/F16/+hoxTFaz1Gr/wD0w0tVcwAVVlzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b4357b5f8a4eb28526ded2cd474d2b329f6676627fd9a2c2c302ada6d4d7bba","last_reissued_at":"2026-05-18T04:20:23.870193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:23.870193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Methods of Matrix Multiplication: An Overview of Several Methods and their Implementation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.MS","authors_text":"Ivo Hedtke","submitted_at":"2011-06-03T09:17:11Z","abstract_excerpt":"In this overview article we present several methods for multiplying matrices and the implementation of these methods in C. Also a little test program is given to compare their running time and the numerical stability.\n  The methods are: naive method, naive method working on arrays, naive method with the \\textsc{Kahan} trick, three methods with loop unrolling, winograd method and the scaled variant, original \\textsc{Strassen} method and the \\textsc{Strassen}-\\textsc{Winograd} variant.\n  Please note, that this is the FIRST version. The algorithms are not well tested and the implementation is not"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1347","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":"1106.1347","created_at":"2026-05-18T04:20:23.870286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.1347v1","created_at":"2026-05-18T04:20:23.870286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1347","created_at":"2026-05-18T04:20:23.870286+00:00"},{"alias_kind":"pith_short_12","alias_value":"BNBVPNPYUTVS","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BNBVPNPYUTVSQUTN","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BNBVPNPY","created_at":"2026-05-18T12:26:24.575870+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/BNBVPNPYUTVSQUTN5UWNI5GSWM","json":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM.json","graph_json":"https://pith.science/api/pith-number/BNBVPNPYUTVSQUTN5UWNI5GSWM/graph.json","events_json":"https://pith.science/api/pith-number/BNBVPNPYUTVSQUTN5UWNI5GSWM/events.json","paper":"https://pith.science/paper/BNBVPNPY"},"agent_actions":{"view_html":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM","download_json":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM.json","view_paper":"https://pith.science/paper/BNBVPNPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.1347&json=true","fetch_graph":"https://pith.science/api/pith-number/BNBVPNPYUTVSQUTN5UWNI5GSWM/graph.json","fetch_events":"https://pith.science/api/pith-number/BNBVPNPYUTVSQUTN5UWNI5GSWM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM/action/storage_attestation","attest_author":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM/action/author_attestation","sign_citation":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM/action/citation_signature","submit_replication":"https://pith.science/pith/BNBVPNPYUTVSQUTN5UWNI5GSWM/action/replication_record"}},"created_at":"2026-05-18T04:20:23.870286+00:00","updated_at":"2026-05-18T04:20:23.870286+00:00"}