{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OIFPWYDKGXYZPGLYBDV2PXAR7I","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":"08be21ad7053041a9ae6cbc20775cf5e2e5c183bd49f778f49a17e0e0c85decd","cross_cats_sorted":["cs.IT","cs.SY","math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.OC","submitted_at":"2010-09-06T19:09:50Z","title_canon_sha256":"ed126e961531209d1a167c33225f611f57f4e55903faa89084a4ad1b952f7820"},"schema_version":"1.0","source":{"id":"1009.1128","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1128","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1128v3","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1128","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"OIFPWYDKGXYZ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OIFPWYDKGXYZPGLY","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OIFPWYDK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:11befd8944ad25d0e3dfda4ef096b3e97be7f3f069f7a980f16ba9a0bb895ea9","target":"graph","created_at":"2026-05-18T04:00:13Z","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 propose a distributed algorithm for solving the optimization problem Basis Pursuit (BP). BP finds the least L1-norm solution of the underdetermined linear system Ax = b and is used, for example, in compressed sensing for reconstruction. Our algorithm solves BP on a distributed platform such as a sensor network, and is designed to minimize the communication between nodes. The algorithm only requires the network to be connected, has no notion of a central processing node, and no node has access to the entire matrix A at any time. We consider two scenarios in which either the columns or the ro","authors_text":"Jo\\~ao F. C. Mota, Jo\\~ao M. F. Xavier, Markus P\\\"uschel, Pedro M. Q. Aguiar","cross_cats":["cs.IT","cs.SY","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.OC","submitted_at":"2010-09-06T19:09:50Z","title":"Distributed Basis Pursuit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1128","kind":"arxiv","version":3},"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":"sha256:77ae24afcad928f4827769136762f315bbb7514ae4b4ec874ea53950c12da407","target":"record","created_at":"2026-05-18T04:00:13Z","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":"08be21ad7053041a9ae6cbc20775cf5e2e5c183bd49f778f49a17e0e0c85decd","cross_cats_sorted":["cs.IT","cs.SY","math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.OC","submitted_at":"2010-09-06T19:09:50Z","title_canon_sha256":"ed126e961531209d1a167c33225f611f57f4e55903faa89084a4ad1b952f7820"},"schema_version":"1.0","source":{"id":"1009.1128","kind":"arxiv","version":3}},"canonical_sha256":"720afb606a35f197997808eba7dc11fa19cd7fe1d7ef8eceaa8001fd8aec7e72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"720afb606a35f197997808eba7dc11fa19cd7fe1d7ef8eceaa8001fd8aec7e72","first_computed_at":"2026-05-18T04:00:13.796808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:13.796808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rvt8/DvIxoSWt9jXsJBuIxmtsPYYRJPyL4OyzwU/tRv+fPNuh20QL3Kt6SvHsSMgjFkZg92EVtBy/v2QEZz0DA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:13.797704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1128","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77ae24afcad928f4827769136762f315bbb7514ae4b4ec874ea53950c12da407","sha256:11befd8944ad25d0e3dfda4ef096b3e97be7f3f069f7a980f16ba9a0bb895ea9"],"state_sha256":"07e3926104cd84f14557754bb82cd7b56bda97f812282df3953bd59414c6ace6"}