{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZSNPFJHZGD5UN55Y6CTDYBVIWC","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":"12b488c4f26ccc96ab32acbdbf59ccaaa6e90a009924fc2803fc540e92e7c1be","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-07-07T01:52:22Z","title_canon_sha256":"d5a2b3e9fa6897e119a98fbe6fea4f4185d4470c4bb5d5ba311cef84adafb76d"},"schema_version":"1.0","source":{"id":"1007.1035","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1035","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1035v3","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1035","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZSNPFJHZGD5U","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZSNPFJHZGD5UN55Y","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZSNPFJHZ","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:3e7e84b99ad86686651bca2e55f2491d14403008112575669704b17cd3d1bf8c","target":"graph","created_at":"2026-05-17T23:41:01Z","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 consider variations of the Rudin-Osher-Fatemi functional which are particularly well-suited to denoising and deblurring of 2D bar codes. These functionals consist of an anisotropic total variation favoring rectangles and a fidelity term which measure the L^1 distance to the signal, both with and without the presence of a deconvolution operator. Based upon the existence of a certain associated vector field, we find necessary and sufficient conditions for a function to be a minimizer. We apply these results to 2D bar codes to find explicit regimes ---in terms of the fidelity parameter and sma","authors_text":"Adam Oberman, Rustum Choksi, Yves van Gennip","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-07-07T01:52:22Z","title":"Anisotropic Total Variation Regularized L^1-Approximation and Denoising/Deblurring of 2D Bar Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1035","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:b10d105bb0e828d9818d25c9123161cd1f5903568d003b6df7e4aa26f62e2574","target":"record","created_at":"2026-05-17T23:41:01Z","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":"12b488c4f26ccc96ab32acbdbf59ccaaa6e90a009924fc2803fc540e92e7c1be","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-07-07T01:52:22Z","title_canon_sha256":"d5a2b3e9fa6897e119a98fbe6fea4f4185d4470c4bb5d5ba311cef84adafb76d"},"schema_version":"1.0","source":{"id":"1007.1035","kind":"arxiv","version":3}},"canonical_sha256":"cc9af2a4f930fb46f7b8f0a63c06a8b0bbd7248a24d9e384feef12d7f6c037c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc9af2a4f930fb46f7b8f0a63c06a8b0bbd7248a24d9e384feef12d7f6c037c8","first_computed_at":"2026-05-17T23:41:01.703832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:01.703832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZlBUy6ewLiIYHg4dzPMww3odafHyPuB76D+CO3ESAbWc6Nc3OOAuq9onxCpa+kVXjyjiYJw215qjxc5cqrqDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:01.704331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1035","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b10d105bb0e828d9818d25c9123161cd1f5903568d003b6df7e4aa26f62e2574","sha256:3e7e84b99ad86686651bca2e55f2491d14403008112575669704b17cd3d1bf8c"],"state_sha256":"42f7412471104c92e0972d96a8d57f7fd9334cbdfb0040a8887e2be189bca838"}