{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:UPNUEVLUBROC7F52B45ZMOWHOF","short_pith_number":"pith:UPNUEVLU","canonical_record":{"source":{"id":"2206.08301","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2022-06-16T17:02:43Z","cross_cats_sorted":[],"title_canon_sha256":"8be85f0c251061c860e4d886d28f1df3a3c9d5f572fd362c93547699bba165f0","abstract_canon_sha256":"22fd3158f87d6d20cc011438aed35f4b9efa012700d877d602f269d1453f6d32"},"schema_version":"1.0"},"canonical_sha256":"a3db4255740c5c2f97ba0f3b963ac7717355e47c70f6484679c3a2745a55650e","source":{"kind":"arxiv","id":"2206.08301","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.08301","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"2206.08301v1","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.08301","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"UPNUEVLUBROC","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_16","alias_value":"UPNUEVLUBROC7F52","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_8","alias_value":"UPNUEVLU","created_at":"2026-07-05T04:32:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:UPNUEVLUBROC7F52B45ZMOWHOF","target":"record","payload":{"canonical_record":{"source":{"id":"2206.08301","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2022-06-16T17:02:43Z","cross_cats_sorted":[],"title_canon_sha256":"8be85f0c251061c860e4d886d28f1df3a3c9d5f572fd362c93547699bba165f0","abstract_canon_sha256":"22fd3158f87d6d20cc011438aed35f4b9efa012700d877d602f269d1453f6d32"},"schema_version":"1.0"},"canonical_sha256":"a3db4255740c5c2f97ba0f3b963ac7717355e47c70f6484679c3a2745a55650e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:32:24.201235Z","signature_b64":"Wngqn+OFmY5LCHFjxogLQfwXZ6+r63Y806iNVNsYQtXjBNCOLVgaYwG26bcvKD4IAYA6rQosI3yNz4Cy8sQOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3db4255740c5c2f97ba0f3b963ac7717355e47c70f6484679c3a2745a55650e","last_reissued_at":"2026-07-05T04:32:24.200702Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:32:24.200702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.08301","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":"2026-07-05T04:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbU5r+DSFBgkWw9+jH1rQhOeoFIuLvF3kWI3aBmIB3bkUK1fFECDh5w+TdMp6odYVBkOUCYL/4LhhlNSZ7hABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T12:23:31.298457Z"},"content_sha256":"8d4a738a72ec5688e8b3967cb295142f776f791d8a898fde06147252c93eba83","schema_version":"1.0","event_id":"sha256:8d4a738a72ec5688e8b3967cb295142f776f791d8a898fde06147252c93eba83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:UPNUEVLUBROC7F52B45ZMOWHOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deinsum: Practically I/O Optimal Multilinear Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Alexandros Nikolaos Ziogas, Grzegorz Kwasniewski, Tal Ben-Nun, Timo Schneider, Torsten Hoefler","submitted_at":"2022-06-16T17:02:43Z","abstract_excerpt":"Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously hard problem. State-of-the-art libraries rely on heuristics and often fall back to suboptimal tensor folding and BLAS calls. We present Deinsum, an automated framework for distributed multilinear algebra computations expressed in Einstein notation, based on rigorous mathematical tools to address this problem. Our framework automatically derives data movemen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.08301","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.08301/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYxMCXbb+4Uiox5XyVMvvGkkCXUlj/O4HP3pxXHdkHxxs441OYUSyY7xut7OwE5Kt7GCatHE3FHczsy3ZLqACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T12:23:31.298824Z"},"content_sha256":"5017e0074eeab1c08460631e16d34a5b75fd7f4d97f5a919bcaa12f59cb5b78d","schema_version":"1.0","event_id":"sha256:5017e0074eeab1c08460631e16d34a5b75fd7f4d97f5a919bcaa12f59cb5b78d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPNUEVLUBROC7F52B45ZMOWHOF/bundle.json","state_url":"https://pith.science/pith/UPNUEVLUBROC7F52B45ZMOWHOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPNUEVLUBROC7F52B45ZMOWHOF/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":"2026-07-06T12:23:31Z","links":{"resolver":"https://pith.science/pith/UPNUEVLUBROC7F52B45ZMOWHOF","bundle":"https://pith.science/pith/UPNUEVLUBROC7F52B45ZMOWHOF/bundle.json","state":"https://pith.science/pith/UPNUEVLUBROC7F52B45ZMOWHOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPNUEVLUBROC7F52B45ZMOWHOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:UPNUEVLUBROC7F52B45ZMOWHOF","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":"22fd3158f87d6d20cc011438aed35f4b9efa012700d877d602f269d1453f6d32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2022-06-16T17:02:43Z","title_canon_sha256":"8be85f0c251061c860e4d886d28f1df3a3c9d5f572fd362c93547699bba165f0"},"schema_version":"1.0","source":{"id":"2206.08301","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.08301","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"2206.08301v1","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.08301","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"UPNUEVLUBROC","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_16","alias_value":"UPNUEVLUBROC7F52","created_at":"2026-07-05T04:32:24Z"},{"alias_kind":"pith_short_8","alias_value":"UPNUEVLU","created_at":"2026-07-05T04:32:24Z"}],"graph_snapshots":[{"event_id":"sha256:5017e0074eeab1c08460631e16d34a5b75fd7f4d97f5a919bcaa12f59cb5b78d","target":"graph","created_at":"2026-07-05T04:32:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.08301/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously hard problem. State-of-the-art libraries rely on heuristics and often fall back to suboptimal tensor folding and BLAS calls. We present Deinsum, an automated framework for distributed multilinear algebra computations expressed in Einstein notation, based on rigorous mathematical tools to address this problem. Our framework automatically derives data movemen","authors_text":"Alexandros Nikolaos Ziogas, Grzegorz Kwasniewski, Tal Ben-Nun, Timo Schneider, Torsten Hoefler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2022-06-16T17:02:43Z","title":"Deinsum: Practically I/O Optimal Multilinear Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.08301","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":"sha256:8d4a738a72ec5688e8b3967cb295142f776f791d8a898fde06147252c93eba83","target":"record","created_at":"2026-07-05T04:32:24Z","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":"22fd3158f87d6d20cc011438aed35f4b9efa012700d877d602f269d1453f6d32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2022-06-16T17:02:43Z","title_canon_sha256":"8be85f0c251061c860e4d886d28f1df3a3c9d5f572fd362c93547699bba165f0"},"schema_version":"1.0","source":{"id":"2206.08301","kind":"arxiv","version":1}},"canonical_sha256":"a3db4255740c5c2f97ba0f3b963ac7717355e47c70f6484679c3a2745a55650e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3db4255740c5c2f97ba0f3b963ac7717355e47c70f6484679c3a2745a55650e","first_computed_at":"2026-07-05T04:32:24.200702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:32:24.200702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wngqn+OFmY5LCHFjxogLQfwXZ6+r63Y806iNVNsYQtXjBNCOLVgaYwG26bcvKD4IAYA6rQosI3yNz4Cy8sQOAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:32:24.201235Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.08301","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d4a738a72ec5688e8b3967cb295142f776f791d8a898fde06147252c93eba83","sha256:5017e0074eeab1c08460631e16d34a5b75fd7f4d97f5a919bcaa12f59cb5b78d"],"state_sha256":"797a14691a148ce94eb7840f7b93a60a7603abcea1ba9a0a9441122815ecc008"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7cq8HvCt++jl2drMQgvfm3EcalLXZFnpu7vDjWI59RdsZWen1pYOjjCXmu337LwroMo0sLGnSP0Kip5OlL3SAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T12:23:31.304198Z","bundle_sha256":"17c1e11783e0094201c04d237659d052353d220a5af14b33e120bfa86bbaf801"}}