{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KSC2Q3ALYG5SEBRVZBSDYVY4WX","short_pith_number":"pith:KSC2Q3AL","canonical_record":{"source":{"id":"1701.07158","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-25T04:56:10Z","cross_cats_sorted":["cs.CV","math.FA"],"title_canon_sha256":"253d0d339b16007f9b2dc1b39adea52275ec59c83a75127bd5a052255e58c460","abstract_canon_sha256":"c5d0fd3c42e0f0e9c81010e34024df435d3d07eb7970985e7d665e0a4caded6f"},"schema_version":"1.0"},"canonical_sha256":"5485a86c0bc1bb220635c8643c571cb5ff4248b41dc4a132aba1060c18ebba19","source":{"kind":"arxiv","id":"1701.07158","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07158","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07158v1","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07158","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"pith_short_12","alias_value":"KSC2Q3ALYG5S","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KSC2Q3ALYG5SEBRV","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KSC2Q3AL","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KSC2Q3ALYG5SEBRVZBSDYVY4WX","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07158","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-25T04:56:10Z","cross_cats_sorted":["cs.CV","math.FA"],"title_canon_sha256":"253d0d339b16007f9b2dc1b39adea52275ec59c83a75127bd5a052255e58c460","abstract_canon_sha256":"c5d0fd3c42e0f0e9c81010e34024df435d3d07eb7970985e7d665e0a4caded6f"},"schema_version":"1.0"},"canonical_sha256":"5485a86c0bc1bb220635c8643c571cb5ff4248b41dc4a132aba1060c18ebba19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:07.308735Z","signature_b64":"Ofia3j1V0jrw6T/fsZ6OOpGynxN2KRBpbqWnig3oeX3ZnT7HyisJs1KM318HnRZmyKMsWMikPY0T3bNRF5naBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5485a86c0bc1bb220635c8643c571cb5ff4248b41dc4a132aba1060c18ebba19","last_reissued_at":"2026-05-18T00:52:07.308032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:07.308032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07158","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/JhiJs7Ewpo4YCNYpuV8fvn+Qh1fsR0xagGBGmCZieIHM/Sp+WaxKvdNUkk6T3TVjMaKy0R529p0Qm6N6pWPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:18:10.683898Z"},"content_sha256":"1d3b93eda4a191bc653039f4f2c061fa99392e33d6c0288a72b98a5266ee2bd6","schema_version":"1.0","event_id":"sha256:1d3b93eda4a191bc653039f4f2c061fa99392e33d6c0288a72b98a5266ee2bd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KSC2Q3ALYG5SEBRVZBSDYVY4WX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Edge Driven Wavelet Frame Model for Image Restoration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","math.FA"],"primary_cat":"math.NA","authors_text":"Bin Dong, Jae Kyu Choi, Xiaoqun Zhang","submitted_at":"2017-01-25T04:56:10Z","abstract_excerpt":"Wavelet frame systems are known to be effective in capturing singularities from noisy and degraded images. In this paper, we introduce a new edge driven wavelet frame model for image restoration by approximating images as piecewise smooth functions. With an implicit representation of image singularities sets, the proposed model inflicts different strength of regularization on smooth and singular image regions and edges. The proposed edge driven model is robust to both image approximation and singularity estimation. The implicit formulation also enables an asymptotic analysis of the proposed mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07158","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WRu+etATFkzYES25TlXpAZw2J8r8Md8B+q8PvmWSAWlVbcVmr4ndLuMNygRcVh7zb/UGFMX/l4bpwm1j74YkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:18:10.684249Z"},"content_sha256":"a7fca33aabd3eaef42b4cd3c4247737d43e1c2e9a72f61ee12322ef98df2fa1f","schema_version":"1.0","event_id":"sha256:a7fca33aabd3eaef42b4cd3c4247737d43e1c2e9a72f61ee12322ef98df2fa1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/bundle.json","state_url":"https://pith.science/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T10:18:10Z","links":{"resolver":"https://pith.science/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX","bundle":"https://pith.science/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/bundle.json","state":"https://pith.science/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSC2Q3ALYG5SEBRVZBSDYVY4WX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KSC2Q3ALYG5SEBRVZBSDYVY4WX","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":"c5d0fd3c42e0f0e9c81010e34024df435d3d07eb7970985e7d665e0a4caded6f","cross_cats_sorted":["cs.CV","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-25T04:56:10Z","title_canon_sha256":"253d0d339b16007f9b2dc1b39adea52275ec59c83a75127bd5a052255e58c460"},"schema_version":"1.0","source":{"id":"1701.07158","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07158","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07158v1","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07158","created_at":"2026-05-18T00:52:07Z"},{"alias_kind":"pith_short_12","alias_value":"KSC2Q3ALYG5S","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KSC2Q3ALYG5SEBRV","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KSC2Q3AL","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:a7fca33aabd3eaef42b4cd3c4247737d43e1c2e9a72f61ee12322ef98df2fa1f","target":"graph","created_at":"2026-05-18T00:52:07Z","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":"Wavelet frame systems are known to be effective in capturing singularities from noisy and degraded images. In this paper, we introduce a new edge driven wavelet frame model for image restoration by approximating images as piecewise smooth functions. With an implicit representation of image singularities sets, the proposed model inflicts different strength of regularization on smooth and singular image regions and edges. The proposed edge driven model is robust to both image approximation and singularity estimation. The implicit formulation also enables an asymptotic analysis of the proposed mo","authors_text":"Bin Dong, Jae Kyu Choi, Xiaoqun Zhang","cross_cats":["cs.CV","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-25T04:56:10Z","title":"An Edge Driven Wavelet Frame Model for Image Restoration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07158","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":"sha256:1d3b93eda4a191bc653039f4f2c061fa99392e33d6c0288a72b98a5266ee2bd6","target":"record","created_at":"2026-05-18T00:52:07Z","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":"c5d0fd3c42e0f0e9c81010e34024df435d3d07eb7970985e7d665e0a4caded6f","cross_cats_sorted":["cs.CV","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-25T04:56:10Z","title_canon_sha256":"253d0d339b16007f9b2dc1b39adea52275ec59c83a75127bd5a052255e58c460"},"schema_version":"1.0","source":{"id":"1701.07158","kind":"arxiv","version":1}},"canonical_sha256":"5485a86c0bc1bb220635c8643c571cb5ff4248b41dc4a132aba1060c18ebba19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5485a86c0bc1bb220635c8643c571cb5ff4248b41dc4a132aba1060c18ebba19","first_computed_at":"2026-05-18T00:52:07.308032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:07.308032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ofia3j1V0jrw6T/fsZ6OOpGynxN2KRBpbqWnig3oeX3ZnT7HyisJs1KM318HnRZmyKMsWMikPY0T3bNRF5naBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:07.308735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07158","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d3b93eda4a191bc653039f4f2c061fa99392e33d6c0288a72b98a5266ee2bd6","sha256:a7fca33aabd3eaef42b4cd3c4247737d43e1c2e9a72f61ee12322ef98df2fa1f"],"state_sha256":"a65665e5b04108bf572c08a991f68759de8ede5b2ad20ed686d8cc96a8e6b2b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ek32fAjCwcHaghwQ74UqP7VbEN5perjQxNHyTXH+x8l0wWU6gqKzqd7ZbeQ0YuQ4/1ysxcM2O6wISFx9/QOiCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:18:10.686232Z","bundle_sha256":"d8c6b6ee3f82563f00d002c241445310dc84f1d64a3be619c92dda600184869e"}}