{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FLUZZ5UZ57ECCBPXQ42CHFCOHA","short_pith_number":"pith:FLUZZ5UZ","canonical_record":{"source":{"id":"1701.03908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-01-14T12:11:20Z","cross_cats_sorted":[],"title_canon_sha256":"e8768591e6c85095baff7ae95839635644773e0c6b5e70ffe2a08e011467d13b","abstract_canon_sha256":"d6aec426219703e34fb3a71de83cbc78d4397a3e182ee7c8ef7cf27425cd92cb"},"schema_version":"1.0"},"canonical_sha256":"2ae99cf699efc82105f7873423944e383e9dc7a353377da7f68a4ba3df34477a","source":{"kind":"arxiv","id":"1701.03908","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03908","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03908v1","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03908","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"FLUZZ5UZ57EC","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FLUZZ5UZ57ECCBPX","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FLUZZ5UZ","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FLUZZ5UZ57ECCBPXQ42CHFCOHA","target":"record","payload":{"canonical_record":{"source":{"id":"1701.03908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-01-14T12:11:20Z","cross_cats_sorted":[],"title_canon_sha256":"e8768591e6c85095baff7ae95839635644773e0c6b5e70ffe2a08e011467d13b","abstract_canon_sha256":"d6aec426219703e34fb3a71de83cbc78d4397a3e182ee7c8ef7cf27425cd92cb"},"schema_version":"1.0"},"canonical_sha256":"2ae99cf699efc82105f7873423944e383e9dc7a353377da7f68a4ba3df34477a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:48.506380Z","signature_b64":"g9aHC7ve1hEumK2H/bfaz1tYTDJhRF1A7+Y8xm7WosqdKpI4zQRbP3ACA/f/YK2iXDP+MqEq9kt+scyKsJHuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ae99cf699efc82105f7873423944e383e9dc7a353377da7f68a4ba3df34477a","last_reissued_at":"2026-05-18T00:52:48.505705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:48.505705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.03908","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":"2026-05-18T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTrGz8lcKBr/b18ZRFTQyyUg6OZaLKt9msxnG7DEZN1l+TPFDYAqVeWSY9xe4oD9knilp0jQRAO61ioz1OR5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:14:09.689577Z"},"content_sha256":"345d72c9b5f079f9a17a6ec337d08a877ea4d84f35bb0ccfe52b23d55483fd10","schema_version":"1.0","event_id":"sha256:345d72c9b5f079f9a17a6ec337d08a877ea4d84f35bb0ccfe52b23d55483fd10"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FLUZZ5UZ57ECCBPXQ42CHFCOHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Arrow-Hurwicz-Uzawa Type Flow as Least Squares Solver for Network Linear Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Brian D. O. Anderson, Christian Lageman, Guodong Shi, Yang Liu","submitted_at":"2017-01-14T12:11:20Z","abstract_excerpt":"We study the approach to obtaining least squares solutions to systems of linear algebraic equations over networks by using distributed algorithms. Each node has access to one of the linear equations and holds a dynamic state. The aim for the node states is to reach a consensus as a least squares solution of the linear equations by exchanging their states with neighbors over an underlying interaction graph. A continuous-time distributed least squares solver over networks is developed in the form of the famous Arrow-Hurwicz-Uzawa flow. A necessary and sufficient condition is established on the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03908","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":"2026-05-18T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OpORTXPsr73pzoLkqWXeTOTLVLWsof6PogeDloQrwS7CDKugofDka2bbg/4BJSybR+7cQuyq2QwCTScpAEb7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:14:09.689931Z"},"content_sha256":"060e4c319cb3b43cb5c958b65b3da4b8c3b13f744c635c1418f630c4e430f54e","schema_version":"1.0","event_id":"sha256:060e4c319cb3b43cb5c958b65b3da4b8c3b13f744c635c1418f630c4e430f54e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/bundle.json","state_url":"https://pith.science/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/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":"2026-06-01T17:14:09Z","links":{"resolver":"https://pith.science/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA","bundle":"https://pith.science/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/bundle.json","state":"https://pith.science/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLUZZ5UZ57ECCBPXQ42CHFCOHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FLUZZ5UZ57ECCBPXQ42CHFCOHA","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":"d6aec426219703e34fb3a71de83cbc78d4397a3e182ee7c8ef7cf27425cd92cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-01-14T12:11:20Z","title_canon_sha256":"e8768591e6c85095baff7ae95839635644773e0c6b5e70ffe2a08e011467d13b"},"schema_version":"1.0","source":{"id":"1701.03908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03908","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03908v1","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03908","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"FLUZZ5UZ57EC","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FLUZZ5UZ57ECCBPX","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FLUZZ5UZ","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:060e4c319cb3b43cb5c958b65b3da4b8c3b13f744c635c1418f630c4e430f54e","target":"graph","created_at":"2026-05-18T00:52:48Z","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 study the approach to obtaining least squares solutions to systems of linear algebraic equations over networks by using distributed algorithms. Each node has access to one of the linear equations and holds a dynamic state. The aim for the node states is to reach a consensus as a least squares solution of the linear equations by exchanging their states with neighbors over an underlying interaction graph. A continuous-time distributed least squares solver over networks is developed in the form of the famous Arrow-Hurwicz-Uzawa flow. A necessary and sufficient condition is established on the g","authors_text":"Brian D. O. Anderson, Christian Lageman, Guodong Shi, Yang Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-01-14T12:11:20Z","title":"An Arrow-Hurwicz-Uzawa Type Flow as Least Squares Solver for Network Linear Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03908","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":"sha256:345d72c9b5f079f9a17a6ec337d08a877ea4d84f35bb0ccfe52b23d55483fd10","target":"record","created_at":"2026-05-18T00:52:48Z","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":"d6aec426219703e34fb3a71de83cbc78d4397a3e182ee7c8ef7cf27425cd92cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-01-14T12:11:20Z","title_canon_sha256":"e8768591e6c85095baff7ae95839635644773e0c6b5e70ffe2a08e011467d13b"},"schema_version":"1.0","source":{"id":"1701.03908","kind":"arxiv","version":1}},"canonical_sha256":"2ae99cf699efc82105f7873423944e383e9dc7a353377da7f68a4ba3df34477a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ae99cf699efc82105f7873423944e383e9dc7a353377da7f68a4ba3df34477a","first_computed_at":"2026-05-18T00:52:48.505705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:48.505705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g9aHC7ve1hEumK2H/bfaz1tYTDJhRF1A7+Y8xm7WosqdKpI4zQRbP3ACA/f/YK2iXDP+MqEq9kt+scyKsJHuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:48.506380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:345d72c9b5f079f9a17a6ec337d08a877ea4d84f35bb0ccfe52b23d55483fd10","sha256:060e4c319cb3b43cb5c958b65b3da4b8c3b13f744c635c1418f630c4e430f54e"],"state_sha256":"cb7f67e1a939867ddde7eb0d5c03e00d8c80cd2af37979b94f75107bb62ec74d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+0K3aue6r2X+oAXx0TARhNfwnOMqrtsWUfpbw3qBMW8OrQLXOMoAkrWR4j1UptbC5LUQZP689NqakKyz5MTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:14:09.691850Z","bundle_sha256":"3d7fc8ae1608f9e1a7833fd3c15edf14f98a307495e681e7b00f7baabe333b7a"}}