{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6YTNKY2H6DX4MGRM2SURLAXQB6","short_pith_number":"pith:6YTNKY2H","canonical_record":{"source":{"id":"1901.01388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2019-01-05T09:27:46Z","cross_cats_sorted":["cs.LG","eess.SP","stat.ML"],"title_canon_sha256":"cc6a5c7731bbf2af910823a6517c54da04ffc86deda2f1ac5c1224229c429bd2","abstract_canon_sha256":"d5b3bf24a25697c64f6f988c511d55431f315fd189c04121b43bcfb49c13b21f"},"schema_version":"1.0"},"canonical_sha256":"f626d56347f0efc61a2cd4a91582f00fa8ea2ec5fbfa7af36fc7bd9efe4c30c0","source":{"kind":"arxiv","id":"1901.01388","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.01388","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1901.01388v2","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01388","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"6YTNKY2H6DX4","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6YTNKY2H6DX4MGRM","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6YTNKY2H","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6YTNKY2H6DX4MGRM2SURLAXQB6","target":"record","payload":{"canonical_record":{"source":{"id":"1901.01388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2019-01-05T09:27:46Z","cross_cats_sorted":["cs.LG","eess.SP","stat.ML"],"title_canon_sha256":"cc6a5c7731bbf2af910823a6517c54da04ffc86deda2f1ac5c1224229c429bd2","abstract_canon_sha256":"d5b3bf24a25697c64f6f988c511d55431f315fd189c04121b43bcfb49c13b21f"},"schema_version":"1.0"},"canonical_sha256":"f626d56347f0efc61a2cd4a91582f00fa8ea2ec5fbfa7af36fc7bd9efe4c30c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:00.947027Z","signature_b64":"KGEtjAPpYlUFfVuvGYvS6R951jus1J2AYTvFftErHkOGyt2jd/lEumrgMnIqRt4adULtUx2aricE9RY/RHqMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f626d56347f0efc61a2cd4a91582f00fa8ea2ec5fbfa7af36fc7bd9efe4c30c0","last_reissued_at":"2026-05-17T23:41:00.946408Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:00.946408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.01388","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ivOBTCLVjGJQvvORx+Jf334MpqcYYWdE+/ngWyJl09Qq4s89OTxX4j8ZWFrXxbw90kBZe+PRZdG11aWl7TzsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:38:25.108160Z"},"content_sha256":"a3c48fdad4ecfee5e2b2bacd37bc9e7a1ad560085b8fe54fb44ebb6ec139a16c","schema_version":"1.0","event_id":"sha256:a3c48fdad4ecfee5e2b2bacd37bc9e7a1ad560085b8fe54fb44ebb6ec139a16c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6YTNKY2H6DX4MGRM2SURLAXQB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","eess.SP","stat.ML"],"primary_cat":"eess.IV","authors_text":"Gitta Kutyniok, H\\'ector Andrade-Loarca, Ozan \\\"Oktem, Philipp Petersen","submitted_at":"2019-01-05T09:27:46Z","abstract_excerpt":"Microlocal analysis provides deep insight into singularity structures and is often crucial for solving inverse problems, predominately, in imaging sciences. Of particular importance is the analysis of wavefront sets and the correct extraction of those. In this paper, we introduce the first algorithmic approach to extract the wavefront set of images, which combines data-based and model-based methods. Based on a celebrated property of the shearlet transform to unravel information on the wavefront set, we extract the wavefront set of an image by first applying a discrete shearlet transform and th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01388","kind":"arxiv","version":2},"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":"2026-05-17T23:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W1dqR07py2XYfpreXx9V1TrMu8pIqsMW23QYJMD2y6M7G5XlmPKjTaru/a0TiIGn0qXa8puarUQF8f2mXVnHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:38:25.108880Z"},"content_sha256":"5be97035989388ed53f57147d0c4172a45fd79936e2523dfd1266035f53c279c","schema_version":"1.0","event_id":"sha256:5be97035989388ed53f57147d0c4172a45fd79936e2523dfd1266035f53c279c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/bundle.json","state_url":"https://pith.science/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/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":"2026-05-27T21:38:25Z","links":{"resolver":"https://pith.science/pith/6YTNKY2H6DX4MGRM2SURLAXQB6","bundle":"https://pith.science/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/bundle.json","state":"https://pith.science/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YTNKY2H6DX4MGRM2SURLAXQB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6YTNKY2H6DX4MGRM2SURLAXQB6","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":"d5b3bf24a25697c64f6f988c511d55431f315fd189c04121b43bcfb49c13b21f","cross_cats_sorted":["cs.LG","eess.SP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2019-01-05T09:27:46Z","title_canon_sha256":"cc6a5c7731bbf2af910823a6517c54da04ffc86deda2f1ac5c1224229c429bd2"},"schema_version":"1.0","source":{"id":"1901.01388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.01388","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1901.01388v2","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01388","created_at":"2026-05-17T23:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"6YTNKY2H6DX4","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6YTNKY2H6DX4MGRM","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6YTNKY2H","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:5be97035989388ed53f57147d0c4172a45fd79936e2523dfd1266035f53c279c","target":"graph","created_at":"2026-05-17T23:41:00Z","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":"Microlocal analysis provides deep insight into singularity structures and is often crucial for solving inverse problems, predominately, in imaging sciences. Of particular importance is the analysis of wavefront sets and the correct extraction of those. In this paper, we introduce the first algorithmic approach to extract the wavefront set of images, which combines data-based and model-based methods. Based on a celebrated property of the shearlet transform to unravel information on the wavefront set, we extract the wavefront set of an image by first applying a discrete shearlet transform and th","authors_text":"Gitta Kutyniok, H\\'ector Andrade-Loarca, Ozan \\\"Oktem, Philipp Petersen","cross_cats":["cs.LG","eess.SP","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2019-01-05T09:27:46Z","title":"Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01388","kind":"arxiv","version":2},"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:a3c48fdad4ecfee5e2b2bacd37bc9e7a1ad560085b8fe54fb44ebb6ec139a16c","target":"record","created_at":"2026-05-17T23:41:00Z","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":"d5b3bf24a25697c64f6f988c511d55431f315fd189c04121b43bcfb49c13b21f","cross_cats_sorted":["cs.LG","eess.SP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2019-01-05T09:27:46Z","title_canon_sha256":"cc6a5c7731bbf2af910823a6517c54da04ffc86deda2f1ac5c1224229c429bd2"},"schema_version":"1.0","source":{"id":"1901.01388","kind":"arxiv","version":2}},"canonical_sha256":"f626d56347f0efc61a2cd4a91582f00fa8ea2ec5fbfa7af36fc7bd9efe4c30c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f626d56347f0efc61a2cd4a91582f00fa8ea2ec5fbfa7af36fc7bd9efe4c30c0","first_computed_at":"2026-05-17T23:41:00.946408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:00.946408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KGEtjAPpYlUFfVuvGYvS6R951jus1J2AYTvFftErHkOGyt2jd/lEumrgMnIqRt4adULtUx2aricE9RY/RHqMCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:00.947027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.01388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3c48fdad4ecfee5e2b2bacd37bc9e7a1ad560085b8fe54fb44ebb6ec139a16c","sha256:5be97035989388ed53f57147d0c4172a45fd79936e2523dfd1266035f53c279c"],"state_sha256":"62d63dd52552d55c7fee3718d1c2670580ff87c0ef8aa8e3bf4860ad4fe39d87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bR6Od7Fled541FFE6VudmbWI+sobOeueChCLX4hkKnmeQyfTZjToZxxfoonyvvIoAY4cCOl0J6TwZU2OFNqDAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:38:25.113958Z","bundle_sha256":"b2a80731beb399df1dff309f087267146d4ef8b49309de92b9b6739f7c193a56"}}