{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XDN2YCATHG5YBHYYJB3UJULAHM","short_pith_number":"pith:XDN2YCAT","canonical_record":{"source":{"id":"1503.04776","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-16T19:18:10Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7347831a66b44fa0eaeaf65329315f2fac9e0d39363e1723ac8c39c593beea30","abstract_canon_sha256":"19ca4d33881bd323f845d301f07206988579ece809bc20763855051feec94215"},"schema_version":"1.0"},"canonical_sha256":"b8dbac081339bb809f18487744d1603b350dfed6930b4a1fd07a563d5e8e275f","source":{"kind":"arxiv","id":"1503.04776","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04776","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04776v1","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04776","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"XDN2YCATHG5Y","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XDN2YCATHG5YBHYY","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XDN2YCAT","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XDN2YCATHG5YBHYYJB3UJULAHM","target":"record","payload":{"canonical_record":{"source":{"id":"1503.04776","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-16T19:18:10Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7347831a66b44fa0eaeaf65329315f2fac9e0d39363e1723ac8c39c593beea30","abstract_canon_sha256":"19ca4d33881bd323f845d301f07206988579ece809bc20763855051feec94215"},"schema_version":"1.0"},"canonical_sha256":"b8dbac081339bb809f18487744d1603b350dfed6930b4a1fd07a563d5e8e275f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:51.064594Z","signature_b64":"phGhrAs510TFwVrofZuConaZtXESR5vFWyCft+U6dsovs3+sS0M2fRbuCt6wurwVL9BjwU2Y5iwpiJFz/DS1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8dbac081339bb809f18487744d1603b350dfed6930b4a1fd07a563d5e8e275f","last_reissued_at":"2026-05-18T01:16:51.064012Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:51.064012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.04776","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":"2026-05-18T01:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"knZJZv3gPlIV+NqgwYTzkrcittY1JGt0LvNUqTef3oTTHdSsEGpvQjAHv15YHbywEukYqAiPcg9Q+ytMXvzfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:58:14.597438Z"},"content_sha256":"6cf0de6e54324a2fd497e4d9acc6d908931ec81a3d7ba2bcbc2adaa0427023eb","schema_version":"1.0","event_id":"sha256:6cf0de6e54324a2fd497e4d9acc6d908931ec81a3d7ba2bcbc2adaa0427023eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XDN2YCATHG5YBHYYJB3UJULAHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase and TV Based Convex Sets for Blind Deconvolution of Microscopic Images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"math.OC","authors_text":"A. Enis Cetin, Mohammad Tofighi, Onur Yorulmaz","submitted_at":"2015-03-16T19:18:10Z","abstract_excerpt":"In this article, two closed and convex sets for blind deconvolution problem are proposed. Most blurring functions in microscopy are symmetric with respect to the origin. Therefore, they do not modify the phase of the Fourier transform (FT) of the original image. As a result blurred image and the original image have the same FT phase. Therefore, the set of images with a prescribed FT phase can be used as a constraint set in blind deconvolution problems. Another convex set that can be used during the image reconstruction process is the epigraph set of Total Variation (TV) function. This set does"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04776","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":"2026-05-18T01:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IJKLJSIokxmL/0+/p9N+FkpVUAmeRmAZTQQ+zcjFmeEy/bNj+bPaFkRlQKJMiIFat71224PPd1SQyFRKVjeIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:58:14.597982Z"},"content_sha256":"d941f66ed3afece7560f8faae6e17e48c12c2b9559adb3b4da890134b0227bcc","schema_version":"1.0","event_id":"sha256:d941f66ed3afece7560f8faae6e17e48c12c2b9559adb3b4da890134b0227bcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDN2YCATHG5YBHYYJB3UJULAHM/bundle.json","state_url":"https://pith.science/pith/XDN2YCATHG5YBHYYJB3UJULAHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDN2YCATHG5YBHYYJB3UJULAHM/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":"2026-06-01T16:58:14Z","links":{"resolver":"https://pith.science/pith/XDN2YCATHG5YBHYYJB3UJULAHM","bundle":"https://pith.science/pith/XDN2YCATHG5YBHYYJB3UJULAHM/bundle.json","state":"https://pith.science/pith/XDN2YCATHG5YBHYYJB3UJULAHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDN2YCATHG5YBHYYJB3UJULAHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XDN2YCATHG5YBHYYJB3UJULAHM","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":"19ca4d33881bd323f845d301f07206988579ece809bc20763855051feec94215","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-16T19:18:10Z","title_canon_sha256":"7347831a66b44fa0eaeaf65329315f2fac9e0d39363e1723ac8c39c593beea30"},"schema_version":"1.0","source":{"id":"1503.04776","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04776","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04776v1","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04776","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"XDN2YCATHG5Y","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XDN2YCATHG5YBHYY","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XDN2YCAT","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:d941f66ed3afece7560f8faae6e17e48c12c2b9559adb3b4da890134b0227bcc","target":"graph","created_at":"2026-05-18T01:16:51Z","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":"In this article, two closed and convex sets for blind deconvolution problem are proposed. Most blurring functions in microscopy are symmetric with respect to the origin. Therefore, they do not modify the phase of the Fourier transform (FT) of the original image. As a result blurred image and the original image have the same FT phase. Therefore, the set of images with a prescribed FT phase can be used as a constraint set in blind deconvolution problems. Another convex set that can be used during the image reconstruction process is the epigraph set of Total Variation (TV) function. This set does","authors_text":"A. Enis Cetin, Mohammad Tofighi, Onur Yorulmaz","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-16T19:18:10Z","title":"Phase and TV Based Convex Sets for Blind Deconvolution of Microscopic Images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04776","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":"sha256:6cf0de6e54324a2fd497e4d9acc6d908931ec81a3d7ba2bcbc2adaa0427023eb","target":"record","created_at":"2026-05-18T01:16:51Z","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":"19ca4d33881bd323f845d301f07206988579ece809bc20763855051feec94215","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-16T19:18:10Z","title_canon_sha256":"7347831a66b44fa0eaeaf65329315f2fac9e0d39363e1723ac8c39c593beea30"},"schema_version":"1.0","source":{"id":"1503.04776","kind":"arxiv","version":1}},"canonical_sha256":"b8dbac081339bb809f18487744d1603b350dfed6930b4a1fd07a563d5e8e275f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8dbac081339bb809f18487744d1603b350dfed6930b4a1fd07a563d5e8e275f","first_computed_at":"2026-05-18T01:16:51.064012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:51.064012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"phGhrAs510TFwVrofZuConaZtXESR5vFWyCft+U6dsovs3+sS0M2fRbuCt6wurwVL9BjwU2Y5iwpiJFz/DS1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:51.064594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04776","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cf0de6e54324a2fd497e4d9acc6d908931ec81a3d7ba2bcbc2adaa0427023eb","sha256:d941f66ed3afece7560f8faae6e17e48c12c2b9559adb3b4da890134b0227bcc"],"state_sha256":"3bb2961f1527be7c7125a6c12e5a0c92e714d2ae9004fab2940cf6ef92fde1b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dp7TVtZ+Xos65gymkvNMuuUzL0CCP4/D2YdXcgP8mA7IeZMGNOyQ8swh8TTs8dUZEA9yyNsNXTc6sVEuhiitDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:58:14.601714Z","bundle_sha256":"11ed500463d2095af6763117b0c9bac8127672d5dd19e792d41b9c0c880153e4"}}