{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4JEG4CFMEZ7CIHOF2KN54OKJJ3","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":"fb4b8a1e95804065029002b2c7de8030111163f016be63297f150e21e3a219b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-02-25T09:06:53Z","title_canon_sha256":"682a24dc66cf851ddf30ab5ddcecf99ed94567d135fcaf20ea331f6391ce3c79"},"schema_version":"1.0","source":{"id":"1902.09151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09151","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09151v2","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09151","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"pith_short_12","alias_value":"4JEG4CFMEZ7C","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4JEG4CFMEZ7CIHOF","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4JEG4CFM","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:e6ae0834c50cc2848932a1c1fd2acf15ccc21cb31317877c38621e9c27ef410a","target":"graph","created_at":"2026-05-17T23:52:35Z","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":"This work considers the multi-channel blind deconvolution problem under the assumption that the channels are short. First, we investigate the ill-posedness issues inherent to blind deconvolution problems and sufficient and necessary conditions on the channels that guarantee well-posedness are derived. Following previous work on blind deconvolution, the problem is then reformulated as a low-rank matrix recovery problem and solved by nuclear norm minimization. Numerical experiments show the effectiveness of this algorithm under a certain generative model for the input signal and the channels, bo","authors_text":"Antoine Paris, Laurent Jacques","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-02-25T09:06:53Z","title":"Identifiability Conditions for Multi-channel Blind Deconvolution with Short Filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09151","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":"sha256:6c3bbe301e0109368bbc96004992b264ee748e502bc2cecd4ff76cb94dc9f893","target":"record","created_at":"2026-05-17T23:52:35Z","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":"fb4b8a1e95804065029002b2c7de8030111163f016be63297f150e21e3a219b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-02-25T09:06:53Z","title_canon_sha256":"682a24dc66cf851ddf30ab5ddcecf99ed94567d135fcaf20ea331f6391ce3c79"},"schema_version":"1.0","source":{"id":"1902.09151","kind":"arxiv","version":2}},"canonical_sha256":"e2486e08ac267e241dc5d29bde39494ed5a5d6c2586c742078826e3da1e77770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2486e08ac267e241dc5d29bde39494ed5a5d6c2586c742078826e3da1e77770","first_computed_at":"2026-05-17T23:52:35.743818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:35.743818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPhcBoUswwaETMl2GQ2RCrPVy29rLA9wDqJK1LCvuMJH8d3QrZRUruhchnSD6yIb6GTyjnQ1FO1Z5Y8tJ+nvBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:35.744372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c3bbe301e0109368bbc96004992b264ee748e502bc2cecd4ff76cb94dc9f893","sha256:e6ae0834c50cc2848932a1c1fd2acf15ccc21cb31317877c38621e9c27ef410a"],"state_sha256":"361319991ff838194e0ab2cd56502181fa6ae272f16c67836e0755455d7bdf1c"}