{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OVLHBC4MPD7QE2QOVGJL2GNJET","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":"85847c783380eefc736aa48615293d97751a210cf7a96474d4b45291004da633","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-01-16T08:19:03Z","title_canon_sha256":"05aed197a9870a938ced98a03f2b99852b016cd5f74f251c501601b649588f5a"},"schema_version":"1.0","source":{"id":"1101.3056","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3056","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3056v1","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3056","created_at":"2026-05-18T04:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"OVLHBC4MPD7Q","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OVLHBC4MPD7QE2QO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OVLHBC4M","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:9bf567d200dadfc1949c3d265dacf7cd787fecf01cdd08316ab2e8fbff984a6c","target":"graph","created_at":"2026-05-18T04:31:30Z","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":"This paper presents a finite step method for computing the binary solution to an overdetermined system of linear algebraic equations Ax = b, where A is an m x n real matrix of rank n < m, and b is a real m-vector. The method uses the optimal policy of dynamic programming along with the branch and bound concept. Numerical examples are given.","authors_text":"Subhendu Das","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-01-16T08:19:03Z","title":"Binary Solutions for Overdetermined Systems of Linear Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3056","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":"sha256:8a61a209458ce3dce5a039738ec75a180361fbc6e710bb40ce8bc18f833769c9","target":"record","created_at":"2026-05-18T04:31:30Z","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":"85847c783380eefc736aa48615293d97751a210cf7a96474d4b45291004da633","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-01-16T08:19:03Z","title_canon_sha256":"05aed197a9870a938ced98a03f2b99852b016cd5f74f251c501601b649588f5a"},"schema_version":"1.0","source":{"id":"1101.3056","kind":"arxiv","version":1}},"canonical_sha256":"7556708b8c78ff026a0ea992bd19a924e753fa44800f0c9f0b2fe4ee9f2f107c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7556708b8c78ff026a0ea992bd19a924e753fa44800f0c9f0b2fe4ee9f2f107c","first_computed_at":"2026-05-18T04:31:30.533701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:30.533701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lInKsvOzCwo1FeWKaEYOVi4ddrFn5E0PfZ2bEUZskyl4VhjrCTPXtKXwGRstMr5qHEuCuA0ESnr6bh5ssjLpCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:30.534416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3056","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a61a209458ce3dce5a039738ec75a180361fbc6e710bb40ce8bc18f833769c9","sha256:9bf567d200dadfc1949c3d265dacf7cd787fecf01cdd08316ab2e8fbff984a6c"],"state_sha256":"61950235349c0476936d711f68d901b8aa66b4b56283fd54baf4decc5d3aea9c"}