{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:G2SIJD6NRJ4ZE43ZBQC7L6T47J","short_pith_number":"pith:G2SIJD6N","canonical_record":{"source":{"id":"1505.07490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T20:47:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bc853f30558ae15462cef2ce9f204f06f4c23f97625533f0c4773d4759e9da14","abstract_canon_sha256":"6034eebba82522c480cd7af72e1ef82e48134186616b89d5d4cdd7cd628a9ff6"},"schema_version":"1.0"},"canonical_sha256":"36a4848fcd8a799273790c05f5fa7cfa70251c98a2d5632b06f919cda2a8bed1","source":{"kind":"arxiv","id":"1505.07490","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07490","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07490v1","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07490","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"G2SIJD6NRJ4Z","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G2SIJD6NRJ4ZE43Z","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G2SIJD6N","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:G2SIJD6NRJ4ZE43ZBQC7L6T47J","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T20:47:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bc853f30558ae15462cef2ce9f204f06f4c23f97625533f0c4773d4759e9da14","abstract_canon_sha256":"6034eebba82522c480cd7af72e1ef82e48134186616b89d5d4cdd7cd628a9ff6"},"schema_version":"1.0"},"canonical_sha256":"36a4848fcd8a799273790c05f5fa7cfa70251c98a2d5632b06f919cda2a8bed1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:58.262594Z","signature_b64":"dNWkLuy6+3jW2q5zItHXAyieXk6wbbQdKPpTu0ZwKpiNiSopXkBe5OMC644VwjhY9m8DDyGFV/zG27imGuNrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36a4848fcd8a799273790c05f5fa7cfa70251c98a2d5632b06f919cda2a8bed1","last_reissued_at":"2026-05-18T02:00:58.261883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:58.261883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07490","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/DFw3UhmPal0KYBVwzktNV4A9to0H3SXKTNZSbilukkMT6nAZm9JJn4btDzpqULBv68im+xgbx87xpZkeL26Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:34:05.730926Z"},"content_sha256":"3c682ba87518aa6a7b0f32dfdc283a90b4024b755f106a7c9c532516ad663e74","schema_version":"1.0","event_id":"sha256:3c682ba87518aa6a7b0f32dfdc283a90b4024b755f106a7c9c532516ad663e74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:G2SIJD6NRJ4ZE43ZBQC7L6T47J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicit RIP Matrices in Compressed Sensing from Algebraic Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hao Chen","submitted_at":"2015-05-27T20:47:58Z","abstract_excerpt":"Compressed sensing was proposed by E. J. Cand\\'es, J. Romberg, T. Tao, and D. Donoho for efficient sampling of sparse signals in 2006 and has vast applications in signal processing. The expicit restricted isometry property (RIP) measurement matrices are needed in practice. Since 2007 R. DeVore, J. Bourgain et al and R. Calderbank et al have given several deterministic cosntrcutions of RIP matrices from various mathematical objects. On the other hand the strong coherence property of a measurement matrix was introduced by Bajwa and Calderbank et al for the recovery of signals under the noisy mea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07490","kind":"arxiv","version":1},"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":"2026-05-18T02:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3Ts/aJfOiD2MK1k9Itis33x+M6tHfPJ2m4YRxLU+7Swo5GlH6LMEs13tXnAy9OM3kxXwVm1yjRqnKbej966AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:34:05.731266Z"},"content_sha256":"af651495ec98201eaa98cdd7c190eadd4a13155d8482ad4ecb0e5009db5e9ae8","schema_version":"1.0","event_id":"sha256:af651495ec98201eaa98cdd7c190eadd4a13155d8482ad4ecb0e5009db5e9ae8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/bundle.json","state_url":"https://pith.science/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/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":"2026-06-06T20:34:05Z","links":{"resolver":"https://pith.science/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J","bundle":"https://pith.science/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/bundle.json","state":"https://pith.science/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2SIJD6NRJ4ZE43ZBQC7L6T47J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G2SIJD6NRJ4ZE43ZBQC7L6T47J","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":"6034eebba82522c480cd7af72e1ef82e48134186616b89d5d4cdd7cd628a9ff6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T20:47:58Z","title_canon_sha256":"bc853f30558ae15462cef2ce9f204f06f4c23f97625533f0c4773d4759e9da14"},"schema_version":"1.0","source":{"id":"1505.07490","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07490","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07490v1","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07490","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"G2SIJD6NRJ4Z","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G2SIJD6NRJ4ZE43Z","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G2SIJD6N","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:af651495ec98201eaa98cdd7c190eadd4a13155d8482ad4ecb0e5009db5e9ae8","target":"graph","created_at":"2026-05-18T02:00:58Z","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":"Compressed sensing was proposed by E. J. Cand\\'es, J. Romberg, T. Tao, and D. Donoho for efficient sampling of sparse signals in 2006 and has vast applications in signal processing. The expicit restricted isometry property (RIP) measurement matrices are needed in practice. Since 2007 R. DeVore, J. Bourgain et al and R. Calderbank et al have given several deterministic cosntrcutions of RIP matrices from various mathematical objects. On the other hand the strong coherence property of a measurement matrix was introduced by Bajwa and Calderbank et al for the recovery of signals under the noisy mea","authors_text":"Hao Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T20:47:58Z","title":"Explicit RIP Matrices in Compressed Sensing from Algebraic Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07490","kind":"arxiv","version":1},"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":"sha256:3c682ba87518aa6a7b0f32dfdc283a90b4024b755f106a7c9c532516ad663e74","target":"record","created_at":"2026-05-18T02:00:58Z","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":"6034eebba82522c480cd7af72e1ef82e48134186616b89d5d4cdd7cd628a9ff6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T20:47:58Z","title_canon_sha256":"bc853f30558ae15462cef2ce9f204f06f4c23f97625533f0c4773d4759e9da14"},"schema_version":"1.0","source":{"id":"1505.07490","kind":"arxiv","version":1}},"canonical_sha256":"36a4848fcd8a799273790c05f5fa7cfa70251c98a2d5632b06f919cda2a8bed1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36a4848fcd8a799273790c05f5fa7cfa70251c98a2d5632b06f919cda2a8bed1","first_computed_at":"2026-05-18T02:00:58.261883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:58.261883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dNWkLuy6+3jW2q5zItHXAyieXk6wbbQdKPpTu0ZwKpiNiSopXkBe5OMC644VwjhY9m8DDyGFV/zG27imGuNrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:58.262594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07490","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c682ba87518aa6a7b0f32dfdc283a90b4024b755f106a7c9c532516ad663e74","sha256:af651495ec98201eaa98cdd7c190eadd4a13155d8482ad4ecb0e5009db5e9ae8"],"state_sha256":"3fb2ddfe48601b1019ea6fdc973aff1042baf752e6c7f0b811511492faff88c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8MWk/eQllkJi1ZBr44K+7cWAXknZPTKu0Y5asmxyiqJ46AA5DrFXmcZMEKWEXpIJMsfUQAM1j0+l2j9bkfwAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:34:05.733614Z","bundle_sha256":"bcad4b38bcdb4aa826ddbf5e4ee7af28aca5a15f633778ef1ea00e3c8c8c5f2b"}}