{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WW52LOJ2DJJQPKCRN62AE3SLDO","short_pith_number":"pith:WW52LOJ2","canonical_record":{"source":{"id":"1905.11546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-28T00:08:57Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"a69ddb28da1d407ce9bc09418d2310d5f6aa837d8cd25fba566397b8115a8611","abstract_canon_sha256":"095064307f0a2df08ea1bea19b2e5c1f6d06ba9fca6ac69edb356b302d7a33b6"},"schema_version":"1.0"},"canonical_sha256":"b5bba5b93a1a5307a8516fb4026e4b1bb7ee276b960184965a6d7856d12532a4","source":{"kind":"arxiv","id":"1905.11546","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11546","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11546v1","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11546","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"pith_short_12","alias_value":"WW52LOJ2DJJQ","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"WW52LOJ2DJJQPKCR","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"WW52LOJ2","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WW52LOJ2DJJQPKCRN62AE3SLDO","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-28T00:08:57Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"a69ddb28da1d407ce9bc09418d2310d5f6aa837d8cd25fba566397b8115a8611","abstract_canon_sha256":"095064307f0a2df08ea1bea19b2e5c1f6d06ba9fca6ac69edb356b302d7a33b6"},"schema_version":"1.0"},"canonical_sha256":"b5bba5b93a1a5307a8516fb4026e4b1bb7ee276b960184965a6d7856d12532a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:53.083788Z","signature_b64":"ifR09jeARfmEvdXrjB/yexm+YenRRMlCO/94Kb13dpjy0C4rYr6pVy0OIcoTHrpFQOtpxWASMw6O38qI9sqcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5bba5b93a1a5307a8516fb4026e4b1bb7ee276b960184965a6d7856d12532a4","last_reissued_at":"2026-05-17T23:44:53.083108Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:53.083108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11546","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":"2026-05-17T23:44:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OXdUTuojDCgHvOOWjy6iHbs0uz/zq3f9wDTCvS2f15LQjeAGualeDFH3hf4uwCGdcZRuUcenmtAxDL2uAVfODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:17:24.299603Z"},"content_sha256":"dfc61afe48c584840af6fc97d83447d3639fef88788bd24d693d50972b71e806","schema_version":"1.0","event_id":"sha256:dfc61afe48c584840af6fc97d83447d3639fef88788bd24d693d50972b71e806"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WW52LOJ2DJJQPKCRN62AE3SLDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed estimation of the inverse Hessian by determinantal averaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Michael W. Mahoney, Micha{\\l} Derezi\\'nski","submitted_at":"2019-05-28T00:08:57Z","abstract_excerpt":"In distributed optimization and distributed numerical linear algebra, we often encounter an inversion bias: if we want to compute a quantity that depends on the inverse of a sum of distributed matrices, then the sum of the inverses does not equal the inverse of the sum. An example of this occurs in distributed Newton's method, where we wish to compute (or implicitly work with) the inverse Hessian multiplied by the gradient. In this case, locally computed estimates are biased, and so taking a uniform average will not recover the correct solution. To address this, we propose determinantal averag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11546","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":"2026-05-17T23:44:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3m1rAPP+B2gUvzjTSOSz1mUtmvZ4tZN47MeoAUMqU0T9uNawfQuW9yWg0TLow3xRIcOnbwOs6EAbufLf0dH5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:17:24.300247Z"},"content_sha256":"678e54332b866479d9114298d25962236d981fdf0c0a1cb4609506af961c21db","schema_version":"1.0","event_id":"sha256:678e54332b866479d9114298d25962236d981fdf0c0a1cb4609506af961c21db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/bundle.json","state_url":"https://pith.science/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/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":"2026-06-08T04:17:24Z","links":{"resolver":"https://pith.science/pith/WW52LOJ2DJJQPKCRN62AE3SLDO","bundle":"https://pith.science/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/bundle.json","state":"https://pith.science/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WW52LOJ2DJJQPKCRN62AE3SLDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WW52LOJ2DJJQPKCRN62AE3SLDO","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":"095064307f0a2df08ea1bea19b2e5c1f6d06ba9fca6ac69edb356b302d7a33b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-28T00:08:57Z","title_canon_sha256":"a69ddb28da1d407ce9bc09418d2310d5f6aa837d8cd25fba566397b8115a8611"},"schema_version":"1.0","source":{"id":"1905.11546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11546","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11546v1","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11546","created_at":"2026-05-17T23:44:53Z"},{"alias_kind":"pith_short_12","alias_value":"WW52LOJ2DJJQ","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"WW52LOJ2DJJQPKCR","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"WW52LOJ2","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:678e54332b866479d9114298d25962236d981fdf0c0a1cb4609506af961c21db","target":"graph","created_at":"2026-05-17T23:44:53Z","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":"In distributed optimization and distributed numerical linear algebra, we often encounter an inversion bias: if we want to compute a quantity that depends on the inverse of a sum of distributed matrices, then the sum of the inverses does not equal the inverse of the sum. An example of this occurs in distributed Newton's method, where we wish to compute (or implicitly work with) the inverse Hessian multiplied by the gradient. In this case, locally computed estimates are biased, and so taking a uniform average will not recover the correct solution. To address this, we propose determinantal averag","authors_text":"Michael W. Mahoney, Micha{\\l} Derezi\\'nski","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-28T00:08:57Z","title":"Distributed estimation of the inverse Hessian by determinantal averaging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11546","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:dfc61afe48c584840af6fc97d83447d3639fef88788bd24d693d50972b71e806","target":"record","created_at":"2026-05-17T23:44:53Z","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":"095064307f0a2df08ea1bea19b2e5c1f6d06ba9fca6ac69edb356b302d7a33b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-28T00:08:57Z","title_canon_sha256":"a69ddb28da1d407ce9bc09418d2310d5f6aa837d8cd25fba566397b8115a8611"},"schema_version":"1.0","source":{"id":"1905.11546","kind":"arxiv","version":1}},"canonical_sha256":"b5bba5b93a1a5307a8516fb4026e4b1bb7ee276b960184965a6d7856d12532a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5bba5b93a1a5307a8516fb4026e4b1bb7ee276b960184965a6d7856d12532a4","first_computed_at":"2026-05-17T23:44:53.083108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:53.083108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ifR09jeARfmEvdXrjB/yexm+YenRRMlCO/94Kb13dpjy0C4rYr6pVy0OIcoTHrpFQOtpxWASMw6O38qI9sqcCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:53.083788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfc61afe48c584840af6fc97d83447d3639fef88788bd24d693d50972b71e806","sha256:678e54332b866479d9114298d25962236d981fdf0c0a1cb4609506af961c21db"],"state_sha256":"f07e7ab0321dced0b6131f423e5ceea08e52f72657495c6909e181b8cdba3410"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9KzFpTHyWgc12Y8zSeDc4aRVqDyHlWKgLSO7b55VK+vaeDXucy0twvnx5DXxyaDNigx4rXeQ6w6bCST5Q9bBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:17:24.304084Z","bundle_sha256":"1f61b511df608a370b79d6a3c5ff68d24030d384cca5d537103df11ed14ae1c4"}}