{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FVQBHW7X7AQFFHPMCBTCBLYGKN","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":"25b396ef90e65986a72be6ef49279c81c23646a134d1caae6a63b984d0e4f070","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2022-08-09T11:55:49Z","title_canon_sha256":"f61063e673d2428f4557602827670c19b99cf8e2f45946c443dd97eee38eeeec"},"schema_version":"1.0","source":{"id":"2208.04678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.04678","created_at":"2026-07-05T04:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2208.04678v1","created_at":"2026-07-05T04:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.04678","created_at":"2026-07-05T04:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"FVQBHW7X7AQF","created_at":"2026-07-05T04:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"FVQBHW7X7AQFFHPM","created_at":"2026-07-05T04:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"FVQBHW7X","created_at":"2026-07-05T04:46:59Z"}],"graph_snapshots":[{"event_id":"sha256:213cbd43e335d521ec1dee3eee960938a3e23bc06c6547d3a9f4531ee0ed3644","target":"graph","created_at":"2026-07-05T04:46:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.04678/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The finite-rate-of-innovation (FRI) framework which corresponds a signal/image to a structured low-rank matrix is emerging as an alternative to the traditional sparse regularization. This is because such an off-the-grid approach is able to alleviate the basis mismatch between the true support in the continuous domain and the discrete grid. In this paper, we propose a two-stage off-the-grid regularization model for the image restoration. Given that the discontinuities/edges of the image lie in the zero level set of a band-limited periodic function, we can derive that the Fourier samples of the ","authors_text":"Chenchuan Zhou, Jae Kyu Choi, Jian-Feng Cai","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2022-08-09T11:55:49Z","title":"Two Stage Continuous Domain Regularization for Piecewise Constant Image Restoration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.04678","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:e05224a699bffe2372f994d3657787a49e061daaca13e7f6fda55e9b71627b8d","target":"record","created_at":"2026-07-05T04:46:59Z","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":"25b396ef90e65986a72be6ef49279c81c23646a134d1caae6a63b984d0e4f070","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2022-08-09T11:55:49Z","title_canon_sha256":"f61063e673d2428f4557602827670c19b99cf8e2f45946c443dd97eee38eeeec"},"schema_version":"1.0","source":{"id":"2208.04678","kind":"arxiv","version":1}},"canonical_sha256":"2d6013dbf7f820529dec106620af065379b60a4eaf2a3f9a54f2225918419da9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d6013dbf7f820529dec106620af065379b60a4eaf2a3f9a54f2225918419da9","first_computed_at":"2026-07-05T04:46:59.938113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:46:59.938113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L4LTI2j9rhLVbd1H+GUd6HBbMJtwL9mqTpYpGOXMoDWkzNkog9hZ9jqpKyIu9AoeHy606qT8MdVmm9VolNtCBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:46:59.938644Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.04678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e05224a699bffe2372f994d3657787a49e061daaca13e7f6fda55e9b71627b8d","sha256:213cbd43e335d521ec1dee3eee960938a3e23bc06c6547d3a9f4531ee0ed3644"],"state_sha256":"5766458bf1561ec429207f9b79b2fd7fa8f1ae9ae7001e6543db3c667b8debd1"}