{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HEWOSONVYNP22WJOROWOO4LBV5","short_pith_number":"pith:HEWOSONV","canonical_record":{"source":{"id":"1704.03092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2017-04-11T00:37:59Z","cross_cats_sorted":[],"title_canon_sha256":"b9f4adf4e5c8f45ae0e30f3df986f7c60aa7062ccf1ffd433d2d573c151f1b22","abstract_canon_sha256":"b405a5c9ee08016be6eaed61664b8ea908ff45acb1ba2af5aeb67909fc2f69de"},"schema_version":"1.0"},"canonical_sha256":"392ce939b5c35fad592e8bace77161af782e7c60774aa502e031857092a56e3a","source":{"kind":"arxiv","id":"1704.03092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03092","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03092v1","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03092","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"HEWOSONVYNP2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HEWOSONVYNP22WJO","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HEWOSONV","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HEWOSONVYNP22WJOROWOO4LBV5","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2017-04-11T00:37:59Z","cross_cats_sorted":[],"title_canon_sha256":"b9f4adf4e5c8f45ae0e30f3df986f7c60aa7062ccf1ffd433d2d573c151f1b22","abstract_canon_sha256":"b405a5c9ee08016be6eaed61664b8ea908ff45acb1ba2af5aeb67909fc2f69de"},"schema_version":"1.0"},"canonical_sha256":"392ce939b5c35fad592e8bace77161af782e7c60774aa502e031857092a56e3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:33.637114Z","signature_b64":"tV7pWz6frKspsFmuw/WnyKA3T/K04zE9zimCGaIbNisWO+Vfd0UjOBZNYPJbp6yBI0f4tXuSfehjbYxYRHdDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"392ce939b5c35fad592e8bace77161af782e7c60774aa502e031857092a56e3a","last_reissued_at":"2026-05-18T00:46:33.636420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:33.636420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03092","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Di6LLMs2fMQEnn8eSKRsd43Q5nTg2nrK5r4eAqUG0KDKgx2+oPNZ5kxO52yukGdc8uTCapxP83msQOIU2iiXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:25:17.737350Z"},"content_sha256":"f4bcb01ecf75beda3c3d8c6c5ce4243987b61d3b89cf41e78871d5a0537db426","schema_version":"1.0","event_id":"sha256:f4bcb01ecf75beda3c3d8c6c5ce4243987b61d3b89cf41e78871d5a0537db426"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HEWOSONVYNP22WJOROWOO4LBV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strassen's Algorithm for Tensor Contraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.MS","authors_text":"Devin A. Matthews, Jianyu Huang, Robert A. van de Geijn","submitted_at":"2017-04-11T00:37:59Z","abstract_excerpt":"Tensor contraction (TC) is an important computational kernel widely used in numerous applications. It is a multi-dimensional generalization of matrix multiplication (GEMM). While Strassen's algorithm for GEMM is well studied in theory and practice, extending it to accelerate TC has not been previously pursued. Thus, we believe this to be the first paper to demonstrate how one can in practice speed up tensor contraction with Strassen's algorithm. By adopting a Block-Scatter-Matrix format, a novel matrix-centric tensor layout, we can conceptually view TC as GEMM for a general stride storage, wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03092","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DmSC+CN8GbozFiXBHVwvwr2ADlOV09b4LCEgfBnSqvQwJPDpENPhriFORzK/wPpZvfmw8BkCUCPuMg6KGQgjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:25:17.738015Z"},"content_sha256":"cbc1ee5915bc6a0048d140d74112336a7eae3dd443477d61f07a2bfd61c2e7da","schema_version":"1.0","event_id":"sha256:cbc1ee5915bc6a0048d140d74112336a7eae3dd443477d61f07a2bfd61c2e7da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HEWOSONVYNP22WJOROWOO4LBV5/bundle.json","state_url":"https://pith.science/pith/HEWOSONVYNP22WJOROWOO4LBV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HEWOSONVYNP22WJOROWOO4LBV5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T20:25:17Z","links":{"resolver":"https://pith.science/pith/HEWOSONVYNP22WJOROWOO4LBV5","bundle":"https://pith.science/pith/HEWOSONVYNP22WJOROWOO4LBV5/bundle.json","state":"https://pith.science/pith/HEWOSONVYNP22WJOROWOO4LBV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HEWOSONVYNP22WJOROWOO4LBV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HEWOSONVYNP22WJOROWOO4LBV5","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":"b405a5c9ee08016be6eaed61664b8ea908ff45acb1ba2af5aeb67909fc2f69de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2017-04-11T00:37:59Z","title_canon_sha256":"b9f4adf4e5c8f45ae0e30f3df986f7c60aa7062ccf1ffd433d2d573c151f1b22"},"schema_version":"1.0","source":{"id":"1704.03092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03092","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03092v1","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03092","created_at":"2026-05-18T00:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"HEWOSONVYNP2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HEWOSONVYNP22WJO","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HEWOSONV","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:cbc1ee5915bc6a0048d140d74112336a7eae3dd443477d61f07a2bfd61c2e7da","target":"graph","created_at":"2026-05-18T00:46:33Z","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":"Tensor contraction (TC) is an important computational kernel widely used in numerous applications. It is a multi-dimensional generalization of matrix multiplication (GEMM). While Strassen's algorithm for GEMM is well studied in theory and practice, extending it to accelerate TC has not been previously pursued. Thus, we believe this to be the first paper to demonstrate how one can in practice speed up tensor contraction with Strassen's algorithm. By adopting a Block-Scatter-Matrix format, a novel matrix-centric tensor layout, we can conceptually view TC as GEMM for a general stride storage, wit","authors_text":"Devin A. Matthews, Jianyu Huang, Robert A. van de Geijn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2017-04-11T00:37:59Z","title":"Strassen's Algorithm for Tensor Contraction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03092","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:f4bcb01ecf75beda3c3d8c6c5ce4243987b61d3b89cf41e78871d5a0537db426","target":"record","created_at":"2026-05-18T00:46:33Z","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":"b405a5c9ee08016be6eaed61664b8ea908ff45acb1ba2af5aeb67909fc2f69de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2017-04-11T00:37:59Z","title_canon_sha256":"b9f4adf4e5c8f45ae0e30f3df986f7c60aa7062ccf1ffd433d2d573c151f1b22"},"schema_version":"1.0","source":{"id":"1704.03092","kind":"arxiv","version":1}},"canonical_sha256":"392ce939b5c35fad592e8bace77161af782e7c60774aa502e031857092a56e3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"392ce939b5c35fad592e8bace77161af782e7c60774aa502e031857092a56e3a","first_computed_at":"2026-05-18T00:46:33.636420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:33.636420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tV7pWz6frKspsFmuw/WnyKA3T/K04zE9zimCGaIbNisWO+Vfd0UjOBZNYPJbp6yBI0f4tXuSfehjbYxYRHdDDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:33.637114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4bcb01ecf75beda3c3d8c6c5ce4243987b61d3b89cf41e78871d5a0537db426","sha256:cbc1ee5915bc6a0048d140d74112336a7eae3dd443477d61f07a2bfd61c2e7da"],"state_sha256":"40198ea92dab1d900c99c2d4e2a20b9180d6a6a67d3b5dc6b4122bf22b77f0ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O0U/xqiFDh2lfz26dBOkiXtkskj7cburT4gbF3VnIbhzV9nUpz8FlV9Izl3VkI3POfKOoN2nrqxTuusD0afoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:25:17.741670Z","bundle_sha256":"1dcddfaa2bdbfb8a24b597bf264d7c8ce52d3be46ec3c7651c46ee49f209a0ee"}}