{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AMGGFZ5GUY57CFJ3B2I3XDKYDJ","short_pith_number":"pith:AMGGFZ5G","schema_version":"1.0","canonical_sha256":"030c62e7a6a63bf1153b0e91bb8d581a71b9bc6be51b0e4cbb2c53be28b8df05","source":{"kind":"arxiv","id":"1909.12775","version":3},"attestation_state":"computed","paper":{"title":"Revealing Stable and Unstable Modes of Generic Denoisers through Nonlinear Eigenvalue Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.NA"],"primary_cat":"math.NA","authors_text":"Ester Hait-Fraenkel, Guy Gilboa","submitted_at":"2019-09-12T15:01:48Z","abstract_excerpt":"In this paper, we propose to analyze stable and unstable modes of generic image denoisers through nonlinear eigenvalue analysis. We attempt to find input images for which the output of a black-box denoiser is proportional to the input. We treat this as a nonlinear eigenvalue problem. This has potentially wide implications, since most image processing algorithms can be viewed as generic nonlinear operators. We introduce a generalized nonlinear power-method to solve eigenproblems for such black-box operators. Using this method we reveal stable modes of nonlinear denoisers. These modes are optima"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1909.12775","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-12T15:01:48Z","cross_cats_sorted":["cs.CV","cs.NA"],"title_canon_sha256":"5fd18904b807f26631cb10579cd764842c2f36cb37cb3fcdd789785be3402651","abstract_canon_sha256":"12e7f92fbb2787ae496e436dd6e62bbdfbec48bb781669c716a6255a2223ac8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:16:09.857015Z","signature_b64":"C7/GriIUbxCblOyhkaAG4gdQyL+ixK0SkCLrrGpG9dX/vwWz4diGwtreIhzxZFHfiPQVPQfgp614JWGgNc7gAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"030c62e7a6a63bf1153b0e91bb8d581a71b9bc6be51b0e4cbb2c53be28b8df05","last_reissued_at":"2026-07-05T01:16:09.856529Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:16:09.856529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Revealing Stable and Unstable Modes of Generic Denoisers through Nonlinear Eigenvalue Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.NA"],"primary_cat":"math.NA","authors_text":"Ester Hait-Fraenkel, Guy Gilboa","submitted_at":"2019-09-12T15:01:48Z","abstract_excerpt":"In this paper, we propose to analyze stable and unstable modes of generic image denoisers through nonlinear eigenvalue analysis. We attempt to find input images for which the output of a black-box denoiser is proportional to the input. We treat this as a nonlinear eigenvalue problem. This has potentially wide implications, since most image processing algorithms can be viewed as generic nonlinear operators. We introduce a generalized nonlinear power-method to solve eigenproblems for such black-box operators. Using this method we reveal stable modes of nonlinear denoisers. These modes are optima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.12775","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.12775/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1909.12775","created_at":"2026-07-05T01:16:09.856605+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.12775v3","created_at":"2026-07-05T01:16:09.856605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.12775","created_at":"2026-07-05T01:16:09.856605+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMGGFZ5GUY57","created_at":"2026-07-05T01:16:09.856605+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMGGFZ5GUY57CFJ3","created_at":"2026-07-05T01:16:09.856605+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMGGFZ5G","created_at":"2026-07-05T01:16:09.856605+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ","json":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ.json","graph_json":"https://pith.science/api/pith-number/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/graph.json","events_json":"https://pith.science/api/pith-number/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/events.json","paper":"https://pith.science/paper/AMGGFZ5G"},"agent_actions":{"view_html":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ","download_json":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ.json","view_paper":"https://pith.science/paper/AMGGFZ5G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.12775&json=true","fetch_graph":"https://pith.science/api/pith-number/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/graph.json","fetch_events":"https://pith.science/api/pith-number/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/action/storage_attestation","attest_author":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/action/author_attestation","sign_citation":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/action/citation_signature","submit_replication":"https://pith.science/pith/AMGGFZ5GUY57CFJ3B2I3XDKYDJ/action/replication_record"}},"created_at":"2026-07-05T01:16:09.856605+00:00","updated_at":"2026-07-05T01:16:09.856605+00:00"}