{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OSRNRUN36QF3HQ4S2MXBRDCTHG","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":"81522ad871e52a60b41a0186d497f257216e2e7c0d364159352c22bf49263ef3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-04T10:08:25Z","title_canon_sha256":"0c8e32e102bf9ddc5abe4ca438c54855e5eec72c465383664079cd3f9334e2b1"},"schema_version":"1.0","source":{"id":"1812.01307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01307","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01307v1","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01307","created_at":"2026-05-17T23:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"OSRNRUN36QF3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OSRNRUN36QF3HQ4S","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OSRNRUN3","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:b731f8e20c1071ee3684b1e49d0ad8f36167b6e0569b99d897b9b2aea1d4ec63","target":"graph","created_at":"2026-05-17T23:59:12Z","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 parallel reconstruction algorithm to solve large scale TV constrained linear inverse problems. We provide a convergence proof and show numerically that our method is significantly faster than the main competitor, block ADMM.","authors_text":"Thomas Blumensath, Yushan Gao","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-04T10:08:25Z","title":"BSGD-TV: A parallel algorithm solving total variation constrained image reconstruction problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01307","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":"sha256:1c4b0b604583fd9c32e46403cc1e086ab3e4128f87bb9895e6f2378846fe8717","target":"record","created_at":"2026-05-17T23:59:12Z","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":"81522ad871e52a60b41a0186d497f257216e2e7c0d364159352c22bf49263ef3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-04T10:08:25Z","title_canon_sha256":"0c8e32e102bf9ddc5abe4ca438c54855e5eec72c465383664079cd3f9334e2b1"},"schema_version":"1.0","source":{"id":"1812.01307","kind":"arxiv","version":1}},"canonical_sha256":"74a2d8d1bbf40bb3c392d32e188c5339a23e8df0b931f0a1a828f3a568451a83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74a2d8d1bbf40bb3c392d32e188c5339a23e8df0b931f0a1a828f3a568451a83","first_computed_at":"2026-05-17T23:59:12.835568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:12.835568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oQWTBJ9Uu9nE4JCafmZg8UvFxgP42gD6uDMAs/u7jD6X7TejlMJ5WdydHQmUlBpz80WtsxYf/ZLVlCWLWfB2Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:12.836075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c4b0b604583fd9c32e46403cc1e086ab3e4128f87bb9895e6f2378846fe8717","sha256:b731f8e20c1071ee3684b1e49d0ad8f36167b6e0569b99d897b9b2aea1d4ec63"],"state_sha256":"29459bdb16152f9581ef96d8cedbf1d8a1c5f061d8da2389df70440837ddf4e6"}