{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NPAU225PDL2XRQCT5X4X5M25CU","short_pith_number":"pith:NPAU225P","canonical_record":{"source":{"id":"1805.10437","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-26T07:04:18Z","cross_cats_sorted":["cs.CV","cs.LG","math.IT","math.OC"],"title_canon_sha256":"0d5c3678f027d9b7cd45c5d530b210450ad368c2e04ede9b68ce15bb53fb838e","abstract_canon_sha256":"904342785cbc26e482762e68db65e30a4da6223ddb33a4437c03a7f134f5c162"},"schema_version":"1.0"},"canonical_sha256":"6bc14d6baf1af578c053edf97eb35d1501ebe3a58c593af716638c46abba0cd5","source":{"kind":"arxiv","id":"1805.10437","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10437","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10437v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10437","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"NPAU225PDL2X","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NPAU225PDL2XRQCT","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NPAU225P","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NPAU225PDL2XRQCT5X4X5M25CU","target":"record","payload":{"canonical_record":{"source":{"id":"1805.10437","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-26T07:04:18Z","cross_cats_sorted":["cs.CV","cs.LG","math.IT","math.OC"],"title_canon_sha256":"0d5c3678f027d9b7cd45c5d530b210450ad368c2e04ede9b68ce15bb53fb838e","abstract_canon_sha256":"904342785cbc26e482762e68db65e30a4da6223ddb33a4437c03a7f134f5c162"},"schema_version":"1.0"},"canonical_sha256":"6bc14d6baf1af578c053edf97eb35d1501ebe3a58c593af716638c46abba0cd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:05.804649Z","signature_b64":"vMwHnfEiRqb/2e6oW64dOi546f28qtMAQTl0eJbk0xYdO4a37BM7xEMOjtSJOjmYqX5A0L0tOUei42ywUo+gBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bc14d6baf1af578c053edf97eb35d1501ebe3a58c593af716638c46abba0cd5","last_reissued_at":"2026-05-17T23:51:05.804186Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:05.804186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.10437","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":"2026-05-17T23:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mM9IWR2f764OIgxDLcUUOY/PXVj/01bZweMVL+OvKTUJRSIxShW6Wx/Jq18qynrnLqtUXtW3X0RgMd63bzCmAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:45:11.589979Z"},"content_sha256":"0f19ddd4d675bd850bc037ec4cd584957e8ca9f0b967a0bd767dde7da3e1ee6f","schema_version":"1.0","event_id":"sha256:0f19ddd4d675bd850bc037ec4cd584957e8ca9f0b967a0bd767dde7da3e1ee6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NPAU225PDL2XRQCT5X4X5M25CU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multichannel Sparse Blind Deconvolution on the Sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.LG","math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Yanjun Li, Yoram Bresler","submitted_at":"2018-05-26T07:04:18Z","abstract_excerpt":"Multichannel blind deconvolution is the problem of recovering an unknown signal $f$ and multiple unknown channels $x_i$ from their circular convolution $y_i=x_i \\circledast f$ ($i=1,2,\\dots,N$). We consider the case where the $x_i$'s are sparse, and convolution with $f$ is invertible. Our nonconvex optimization formulation solves for a filter $h$ on the unit sphere that produces sparse output $y_i\\circledast h$. Under some technical assumptions, we show that all local minima of the objective function correspond to the inverse filter of $f$ up to an inherent sign and shift ambiguity, and all sa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10437","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":"2026-05-17T23:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pCO/CCAlz/5xwjf+eYODhjwggwi1wzsJR0MLpCxZpSQGc5ubowv1e57FWQoIpj2uatInSu9g/bQ6i6M0jSunDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:45:11.590337Z"},"content_sha256":"0d220263a42fc2fef87e62ffc86f65910de89a77811a0863305fd038c78d6d88","schema_version":"1.0","event_id":"sha256:0d220263a42fc2fef87e62ffc86f65910de89a77811a0863305fd038c78d6d88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPAU225PDL2XRQCT5X4X5M25CU/bundle.json","state_url":"https://pith.science/pith/NPAU225PDL2XRQCT5X4X5M25CU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPAU225PDL2XRQCT5X4X5M25CU/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":"2026-06-08T11:45:11Z","links":{"resolver":"https://pith.science/pith/NPAU225PDL2XRQCT5X4X5M25CU","bundle":"https://pith.science/pith/NPAU225PDL2XRQCT5X4X5M25CU/bundle.json","state":"https://pith.science/pith/NPAU225PDL2XRQCT5X4X5M25CU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPAU225PDL2XRQCT5X4X5M25CU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NPAU225PDL2XRQCT5X4X5M25CU","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":"904342785cbc26e482762e68db65e30a4da6223ddb33a4437c03a7f134f5c162","cross_cats_sorted":["cs.CV","cs.LG","math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-26T07:04:18Z","title_canon_sha256":"0d5c3678f027d9b7cd45c5d530b210450ad368c2e04ede9b68ce15bb53fb838e"},"schema_version":"1.0","source":{"id":"1805.10437","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10437","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10437v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10437","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"NPAU225PDL2X","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NPAU225PDL2XRQCT","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NPAU225P","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:0d220263a42fc2fef87e62ffc86f65910de89a77811a0863305fd038c78d6d88","target":"graph","created_at":"2026-05-17T23:51:05Z","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":"Multichannel blind deconvolution is the problem of recovering an unknown signal $f$ and multiple unknown channels $x_i$ from their circular convolution $y_i=x_i \\circledast f$ ($i=1,2,\\dots,N$). We consider the case where the $x_i$'s are sparse, and convolution with $f$ is invertible. Our nonconvex optimization formulation solves for a filter $h$ on the unit sphere that produces sparse output $y_i\\circledast h$. Under some technical assumptions, we show that all local minima of the objective function correspond to the inverse filter of $f$ up to an inherent sign and shift ambiguity, and all sa","authors_text":"Yanjun Li, Yoram Bresler","cross_cats":["cs.CV","cs.LG","math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-26T07:04:18Z","title":"Multichannel Sparse Blind Deconvolution on the Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10437","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":"sha256:0f19ddd4d675bd850bc037ec4cd584957e8ca9f0b967a0bd767dde7da3e1ee6f","target":"record","created_at":"2026-05-17T23:51:05Z","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":"904342785cbc26e482762e68db65e30a4da6223ddb33a4437c03a7f134f5c162","cross_cats_sorted":["cs.CV","cs.LG","math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-26T07:04:18Z","title_canon_sha256":"0d5c3678f027d9b7cd45c5d530b210450ad368c2e04ede9b68ce15bb53fb838e"},"schema_version":"1.0","source":{"id":"1805.10437","kind":"arxiv","version":2}},"canonical_sha256":"6bc14d6baf1af578c053edf97eb35d1501ebe3a58c593af716638c46abba0cd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bc14d6baf1af578c053edf97eb35d1501ebe3a58c593af716638c46abba0cd5","first_computed_at":"2026-05-17T23:51:05.804186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:05.804186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vMwHnfEiRqb/2e6oW64dOi546f28qtMAQTl0eJbk0xYdO4a37BM7xEMOjtSJOjmYqX5A0L0tOUei42ywUo+gBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:05.804649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10437","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f19ddd4d675bd850bc037ec4cd584957e8ca9f0b967a0bd767dde7da3e1ee6f","sha256:0d220263a42fc2fef87e62ffc86f65910de89a77811a0863305fd038c78d6d88"],"state_sha256":"60e6a34a919270333435c921034592c5951c479664d908825528899e93701110"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ESkDH1eb69N2NvmZGwt2Vndoi/cKWpDhagNPwT/imoK70wluOBeN91GgtGFpmAYdN0nrpKWWkPZCmo2hfVMABg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T11:45:11.592270Z","bundle_sha256":"c8e85ce6bb2387822ecfd245f9c8f2918f83b5c32f060e51469e981c4dd7e5a0"}}