{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TDY2PMIRLDGGZ54TOPGAKNL6PW","short_pith_number":"pith:TDY2PMIR","canonical_record":{"source":{"id":"1411.4449","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-17T12:12:24Z","cross_cats_sorted":["math.IT","math.NA"],"title_canon_sha256":"40ab41e812382fab58a35bf36b03ff2b06bd0c8e689b163ded321f53784af4f8","abstract_canon_sha256":"f3854a2a181be54c7a6603b0969484589db711fe9ec58ce1badc7ebd1abe6753"},"schema_version":"1.0"},"canonical_sha256":"98f1a7b11158cc6cf79373cc05357e7d8b570f7767dc1b21234fe889b923ad28","source":{"kind":"arxiv","id":"1411.4449","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4449","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4449v2","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4449","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"TDY2PMIRLDGG","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TDY2PMIRLDGGZ54T","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TDY2PMIR","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TDY2PMIRLDGGZ54TOPGAKNL6PW","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4449","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-17T12:12:24Z","cross_cats_sorted":["math.IT","math.NA"],"title_canon_sha256":"40ab41e812382fab58a35bf36b03ff2b06bd0c8e689b163ded321f53784af4f8","abstract_canon_sha256":"f3854a2a181be54c7a6603b0969484589db711fe9ec58ce1badc7ebd1abe6753"},"schema_version":"1.0"},"canonical_sha256":"98f1a7b11158cc6cf79373cc05357e7d8b570f7767dc1b21234fe889b923ad28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:01.196531Z","signature_b64":"LqE8e/jzbsxxj64EilelRL3sGcYQ6l3G9mpLHjs1XroG+xEgksx/uDd16EJPeGLhMgTxnE237SaNodlD/PFmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98f1a7b11158cc6cf79373cc05357e7d8b570f7767dc1b21234fe889b923ad28","last_reissued_at":"2026-05-18T01:30:01.196066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:01.196066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4449","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":"2026-05-18T01:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6C7D8RDmJp16Wehz8zryt+X1rmVCtTCIkI6DFhnWLjNfgxALkNpS6x4lolvKI1VEhNrU0PvssOTZpnP13S27BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:09:43.099976Z"},"content_sha256":"01fcd58897dea34689038694b2d1fc62035432699db287b8cfd4c5e94d161912","schema_version":"1.0","event_id":"sha256:01fcd58897dea34689038694b2d1fc62035432699db287b8cfd4c5e94d161912"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TDY2PMIRLDGGZ54TOPGAKNL6PW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the absence of the RIP in real-world applications of compressed sensing and the RIP in levels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.NA"],"primary_cat":"cs.IT","authors_text":"Alexander Bastounis, Anders C. Hansen","submitted_at":"2014-11-17T12:12:24Z","abstract_excerpt":"The purpose of this paper is twofold. The first is to point out that the Restricted Isometry Property (RIP) does not hold in many applications where compressed sensing is successfully used. This includes fields like Magnetic Resonance Imaging (MRI), Computerized Tomography, Electron Microscopy, Radio Interferometry and Fluorescence Microscopy. We demonstrate that for natural compressed sensing matrices involving a level based reconstruction basis (e.g. wavelets), the number of measurements required to recover all $s$-sparse signals for reasonable $s$ is excessive. In particular, uniform recove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4449","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":"2026-05-18T01:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WHG/U2VGJCLNPSpEpCRalF1E98dQOhykN40TeKzMee2B43A6xLXHyVRQo9gkTDWJW9ppUmON3hcUiXPs23XTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:09:43.100710Z"},"content_sha256":"0ebe269357959746ebe362b48fa3930f72cdc7df362af6162c3e7bdf52302552","schema_version":"1.0","event_id":"sha256:0ebe269357959746ebe362b48fa3930f72cdc7df362af6162c3e7bdf52302552"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/bundle.json","state_url":"https://pith.science/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/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":"2026-06-09T04:09:43Z","links":{"resolver":"https://pith.science/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW","bundle":"https://pith.science/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/bundle.json","state":"https://pith.science/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDY2PMIRLDGGZ54TOPGAKNL6PW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TDY2PMIRLDGGZ54TOPGAKNL6PW","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":"f3854a2a181be54c7a6603b0969484589db711fe9ec58ce1badc7ebd1abe6753","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-17T12:12:24Z","title_canon_sha256":"40ab41e812382fab58a35bf36b03ff2b06bd0c8e689b163ded321f53784af4f8"},"schema_version":"1.0","source":{"id":"1411.4449","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4449","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4449v2","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4449","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"TDY2PMIRLDGG","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TDY2PMIRLDGGZ54T","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TDY2PMIR","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:0ebe269357959746ebe362b48fa3930f72cdc7df362af6162c3e7bdf52302552","target":"graph","created_at":"2026-05-18T01:30:01Z","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":"The purpose of this paper is twofold. The first is to point out that the Restricted Isometry Property (RIP) does not hold in many applications where compressed sensing is successfully used. This includes fields like Magnetic Resonance Imaging (MRI), Computerized Tomography, Electron Microscopy, Radio Interferometry and Fluorescence Microscopy. We demonstrate that for natural compressed sensing matrices involving a level based reconstruction basis (e.g. wavelets), the number of measurements required to recover all $s$-sparse signals for reasonable $s$ is excessive. In particular, uniform recove","authors_text":"Alexander Bastounis, Anders C. Hansen","cross_cats":["math.IT","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-17T12:12:24Z","title":"On the absence of the RIP in real-world applications of compressed sensing and the RIP in levels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4449","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":"sha256:01fcd58897dea34689038694b2d1fc62035432699db287b8cfd4c5e94d161912","target":"record","created_at":"2026-05-18T01:30:01Z","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":"f3854a2a181be54c7a6603b0969484589db711fe9ec58ce1badc7ebd1abe6753","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-17T12:12:24Z","title_canon_sha256":"40ab41e812382fab58a35bf36b03ff2b06bd0c8e689b163ded321f53784af4f8"},"schema_version":"1.0","source":{"id":"1411.4449","kind":"arxiv","version":2}},"canonical_sha256":"98f1a7b11158cc6cf79373cc05357e7d8b570f7767dc1b21234fe889b923ad28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98f1a7b11158cc6cf79373cc05357e7d8b570f7767dc1b21234fe889b923ad28","first_computed_at":"2026-05-18T01:30:01.196066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:01.196066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LqE8e/jzbsxxj64EilelRL3sGcYQ6l3G9mpLHjs1XroG+xEgksx/uDd16EJPeGLhMgTxnE237SaNodlD/PFmBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:01.196531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4449","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01fcd58897dea34689038694b2d1fc62035432699db287b8cfd4c5e94d161912","sha256:0ebe269357959746ebe362b48fa3930f72cdc7df362af6162c3e7bdf52302552"],"state_sha256":"a4af2e3c30250c6334fc33a943b3102cb5b8c73a95ca12e3c1e853bbc10482e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yy3LIynFaP2DY/OA3fTrD2rbPD4tMyccLNV/6Ix8nXT1WqAbQ9C7B0d/fyCUlWti6zrDyEcC+M+X0g+HRlKsCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:09:43.109355Z","bundle_sha256":"3d43ec527373b5f672604330598a0df60ebcf5073037843fd0cdb5a29482615a"}}