{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:57YMTCMPPIBFV4NEKT3RDAOCD5","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":"e8cab09a07aa8b3bfcc53727bc6a5291d5117f04082145f10a47ea8f41669f62","cross_cats_sorted":["math.GR","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-08-26T22:08:57Z","title_canon_sha256":"cf7b1994c55a3785d98996bd625d1b93719d5f4ccfb2da63faa4001c47c6a946"},"schema_version":"1.0","source":{"id":"1408.6273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6273","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6273v1","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6273","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"pith_short_12","alias_value":"57YMTCMPPIBF","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"57YMTCMPPIBFV4NE","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"57YMTCMP","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:b9197abec3292fea7a621142ad3149b87c336a1b0fafb3bedc0054df2f1c0eb8","target":"graph","created_at":"2026-05-18T02:44:07Z","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":"We consider the famous Strassen algorithm for fast multiplication of matrices. We show that this algorithm has a nontrivial finite group of automorphisms of order 36 (namely the direct product of two copies of the symmetric group on 3 symbols), or even 72, if we consider \"extended\" Strassen algorithm. This is an indirect evidence that the (unknown at present) optimal algorithm for multiplication of two size 3 by 3 matrices also may have a large automorphism group, and this may be a fruitful idea for a search of such an algorithm. In the beginning we give a brief introduction to the subject, to","authors_text":"Vladimir P. Burichenko","cross_cats":["math.GR","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-08-26T22:08:57Z","title":"On symmetries of the Strassen algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6273","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":"sha256:1741d66ed605924d4d8bc88efda2b940c244a9f73b1fe5382a30afde39603a99","target":"record","created_at":"2026-05-18T02:44:07Z","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":"e8cab09a07aa8b3bfcc53727bc6a5291d5117f04082145f10a47ea8f41669f62","cross_cats_sorted":["math.GR","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2014-08-26T22:08:57Z","title_canon_sha256":"cf7b1994c55a3785d98996bd625d1b93719d5f4ccfb2da63faa4001c47c6a946"},"schema_version":"1.0","source":{"id":"1408.6273","kind":"arxiv","version":1}},"canonical_sha256":"eff0c9898f7a025af1a454f71181c21f420ac54e9fe243f7993b08b965c4a847","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eff0c9898f7a025af1a454f71181c21f420ac54e9fe243f7993b08b965c4a847","first_computed_at":"2026-05-18T02:44:07.895996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:07.895996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q8osUTa9ybVd0WjgTBgjkZcZxdM3N/KacDJqARpfnhqKjY0lLS0CRVdJYrlKENqDUdFEnTQgymQrQqYHKZ+qBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:07.896537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1741d66ed605924d4d8bc88efda2b940c244a9f73b1fe5382a30afde39603a99","sha256:b9197abec3292fea7a621142ad3149b87c336a1b0fafb3bedc0054df2f1c0eb8"],"state_sha256":"59d25df21e9b386989138768bfa2c21e9b36aa9d05d5081f49618df53b74e04e"}