{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CCADM22H7MQC6DGYWJNGGIYMAM","short_pith_number":"pith:CCADM22H","canonical_record":{"source":{"id":"1504.00532","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-02T13:02:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dd43aef0eb587c98f9cff7ba14fce245fd986b772d4a2ed1d85c6c2843eacfc0","abstract_canon_sha256":"497f9004b84e61372cb11225b090ca6c8f9e2e4d3ca8c5600defb06afcd7281b"},"schema_version":"1.0"},"canonical_sha256":"1080366b47fb202f0cd8b25a63230c03357d578fb521fda61e278d18c0306c0d","source":{"kind":"arxiv","id":"1504.00532","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00532","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00532v4","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00532","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"CCADM22H7MQC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CCADM22H7MQC6DGY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CCADM22H","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CCADM22H7MQC6DGYWJNGGIYMAM","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00532","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-02T13:02:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dd43aef0eb587c98f9cff7ba14fce245fd986b772d4a2ed1d85c6c2843eacfc0","abstract_canon_sha256":"497f9004b84e61372cb11225b090ca6c8f9e2e4d3ca8c5600defb06afcd7281b"},"schema_version":"1.0"},"canonical_sha256":"1080366b47fb202f0cd8b25a63230c03357d578fb521fda61e278d18c0306c0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:38.407384Z","signature_b64":"UK/UZpDFxvgwa1oK8yRkAtuvtyreK3JUHZBmO+lAuImTNocxdbxRB3hNCpws8o26GLC/CVqr5kUoG761k+o1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1080366b47fb202f0cd8b25a63230c03357d578fb521fda61e278d18c0306c0d","last_reissued_at":"2026-05-18T01:23:38.406749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:38.406749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00532","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6y6RYBHh2A8mocG38Nqx2Neo8/aEsy+jdub7IcCLNQfCDg8SHs9IGaGkU0RtCdQytfwF/cKZ6lBN/mCsQin4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T02:48:30.400449Z"},"content_sha256":"499498a1a172b1518a190d40522b664fd31c85c56ad054b6e4dc3d8019cfb745","schema_version":"1.0","event_id":"sha256:499498a1a172b1518a190d40522b664fd31c85c56ad054b6e4dc3d8019cfb745"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CCADM22H7MQC6DGYWJNGGIYMAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general framework for compressed sensing and parallel MRI using annihilating filter based low-rank Hankel matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongwook Lee, Jong Chul Ye, Kyong Hwan Jin","submitted_at":"2015-04-02T13:02:40Z","abstract_excerpt":"Parallel MRI (pMRI) and compressed sensing MRI (CS-MRI) have been considered as two distinct reconstruction problems. Inspired by recent k-space interpolation methods, an annihilating filter based low-rank Hankel matrix approach (ALOHA) is proposed as a general framework for sparsity-driven k-space interpolation method which unifies pMRI and CS-MRI. Specifically, our framework is based on the fundamental duality between the transform domain sparsity in the primary space and the low-rankness of weighted Hankel matrix in the reciprocal space, which converts pMRI and CS-MRI to a k-space interpola"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00532","kind":"arxiv","version":4},"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":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lAi0GNgu8lh31brfBF6ni6g7WOY2tIjymC4+tqUhGwe6fxD970Uy1J2FNrzDL0AhZXP8PojenUdOff1wBP7ZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T02:48:30.401117Z"},"content_sha256":"342549cbd742b57c3d73df0d3627fc495367cc524da6b690edaddee8fb481071","schema_version":"1.0","event_id":"sha256:342549cbd742b57c3d73df0d3627fc495367cc524da6b690edaddee8fb481071"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCADM22H7MQC6DGYWJNGGIYMAM/bundle.json","state_url":"https://pith.science/pith/CCADM22H7MQC6DGYWJNGGIYMAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCADM22H7MQC6DGYWJNGGIYMAM/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":"2026-05-19T02:48:30Z","links":{"resolver":"https://pith.science/pith/CCADM22H7MQC6DGYWJNGGIYMAM","bundle":"https://pith.science/pith/CCADM22H7MQC6DGYWJNGGIYMAM/bundle.json","state":"https://pith.science/pith/CCADM22H7MQC6DGYWJNGGIYMAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCADM22H7MQC6DGYWJNGGIYMAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CCADM22H7MQC6DGYWJNGGIYMAM","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":"497f9004b84e61372cb11225b090ca6c8f9e2e4d3ca8c5600defb06afcd7281b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-02T13:02:40Z","title_canon_sha256":"dd43aef0eb587c98f9cff7ba14fce245fd986b772d4a2ed1d85c6c2843eacfc0"},"schema_version":"1.0","source":{"id":"1504.00532","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00532","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00532v4","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00532","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"CCADM22H7MQC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CCADM22H7MQC6DGY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CCADM22H","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:342549cbd742b57c3d73df0d3627fc495367cc524da6b690edaddee8fb481071","target":"graph","created_at":"2026-05-18T01:23:38Z","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":"Parallel MRI (pMRI) and compressed sensing MRI (CS-MRI) have been considered as two distinct reconstruction problems. Inspired by recent k-space interpolation methods, an annihilating filter based low-rank Hankel matrix approach (ALOHA) is proposed as a general framework for sparsity-driven k-space interpolation method which unifies pMRI and CS-MRI. Specifically, our framework is based on the fundamental duality between the transform domain sparsity in the primary space and the low-rankness of weighted Hankel matrix in the reciprocal space, which converts pMRI and CS-MRI to a k-space interpola","authors_text":"Dongwook Lee, Jong Chul Ye, Kyong Hwan Jin","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-02T13:02:40Z","title":"A general framework for compressed sensing and parallel MRI using annihilating filter based low-rank Hankel matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00532","kind":"arxiv","version":4},"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":"sha256:499498a1a172b1518a190d40522b664fd31c85c56ad054b6e4dc3d8019cfb745","target":"record","created_at":"2026-05-18T01:23:38Z","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":"497f9004b84e61372cb11225b090ca6c8f9e2e4d3ca8c5600defb06afcd7281b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-02T13:02:40Z","title_canon_sha256":"dd43aef0eb587c98f9cff7ba14fce245fd986b772d4a2ed1d85c6c2843eacfc0"},"schema_version":"1.0","source":{"id":"1504.00532","kind":"arxiv","version":4}},"canonical_sha256":"1080366b47fb202f0cd8b25a63230c03357d578fb521fda61e278d18c0306c0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1080366b47fb202f0cd8b25a63230c03357d578fb521fda61e278d18c0306c0d","first_computed_at":"2026-05-18T01:23:38.406749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:38.406749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UK/UZpDFxvgwa1oK8yRkAtuvtyreK3JUHZBmO+lAuImTNocxdbxRB3hNCpws8o26GLC/CVqr5kUoG761k+o1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:38.407384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00532","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:499498a1a172b1518a190d40522b664fd31c85c56ad054b6e4dc3d8019cfb745","sha256:342549cbd742b57c3d73df0d3627fc495367cc524da6b690edaddee8fb481071"],"state_sha256":"23a1c8c927de7b207b0d6b6248b2ec8e4358445ed57f4942360536d769fdf950"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"18AB2POjz32/EZ0rZX1r1/pW8v6JwqONl3PELaL2e4xtiWT2vwV5c1m/cZLwyT4srYfU2LmBhvn4csIrDiQKBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T02:48:30.403163Z","bundle_sha256":"af1417f1aca076f12ca2eb669f5a7cff86df2f3f469ca88b191ec195cac9560f"}}