{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VLSQZMT7QTSWRE3BZUQK3D27HX","short_pith_number":"pith:VLSQZMT7","canonical_record":{"source":{"id":"1805.04348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-11T12:05:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c71b9aadb56c34196da28206f529a5f0d1c135d64863a17efcb7ddcc6d638ca0","abstract_canon_sha256":"d85701fe5bcd2539ce58ea58cb8926dd619b5baf8b57442e6d7a2de21016bc19"},"schema_version":"1.0"},"canonical_sha256":"aae50cb27f84e5689361cd20ad8f5f3deb5b552fc3016f3b26aebdb24907ccc4","source":{"kind":"arxiv","id":"1805.04348","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04348","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04348v1","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04348","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"VLSQZMT7QTSW","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLSQZMT7QTSWRE3B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLSQZMT7","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VLSQZMT7QTSWRE3BZUQK3D27HX","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-11T12:05:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c71b9aadb56c34196da28206f529a5f0d1c135d64863a17efcb7ddcc6d638ca0","abstract_canon_sha256":"d85701fe5bcd2539ce58ea58cb8926dd619b5baf8b57442e6d7a2de21016bc19"},"schema_version":"1.0"},"canonical_sha256":"aae50cb27f84e5689361cd20ad8f5f3deb5b552fc3016f3b26aebdb24907ccc4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:12.738042Z","signature_b64":"OZ/ofr4E+K0xePZI7UTZUcAqwO+YCkIbDI+q1Bvax8fhOd1rNgSJrg+OyBt7Xn/B3nMfW+ick4XCofR5BcDHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aae50cb27f84e5689361cd20ad8f5f3deb5b552fc3016f3b26aebdb24907ccc4","last_reissued_at":"2026-05-18T00:16:12.737397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:12.737397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04348","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":"2026-05-18T00:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oyL/HaPHcwwYApjCoheT4ZcUm4v4m931UB5Kb156XiBu7p/K7+fz/2jd28/k6ic+2Dlq3dWpV9JPA4nBVpL6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:27:43.688267Z"},"content_sha256":"86bc170addc1f9ff449920789cb2b6959e8f1949b1e4f0fce2e18ba188a1812c","schema_version":"1.0","event_id":"sha256:86bc170addc1f9ff449920789cb2b6959e8f1949b1e4f0fce2e18ba188a1812c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VLSQZMT7QTSWRE3BZUQK3D27HX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Taking the edge off quantization: projected back projection in dithered compressive sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chunlei Xu, Laurent Jacques, Vincent Schellekens","submitted_at":"2018-05-11T12:05:41Z","abstract_excerpt":"Quantized compressive sensing (QCS) deals with the problem of representing compressive signal measurements with finite precision representation, i.e., a mandatory process in any practical sensor design. To characterize the signal reconstruction quality in this framework, most of the existing theoretical analyses lie heavily on the quantization of sub-Gaussian random projections (e.g., Gaussian or Bernoulli). We show here that a simple uniform scalar quantizer is compatible with a large class of random sensing matrices known to respect, with high probability, the restricted isometry property (R"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04348","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":"2026-05-18T00:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9zDY84IZ9+uw7JYfzPCO5iceJktSvG5O5dAZQzNOj+lC/gR/Arh7Qk6NIbnd3Qsf0IO+/r0gELsYohM3VzZNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:27:43.688871Z"},"content_sha256":"24cf3c11431dbfd6ada00f62effd39518ca1fc6e7c2d9be2f071b38cb61af7ac","schema_version":"1.0","event_id":"sha256:24cf3c11431dbfd6ada00f62effd39518ca1fc6e7c2d9be2f071b38cb61af7ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/bundle.json","state_url":"https://pith.science/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/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":"2026-06-06T20:27:43Z","links":{"resolver":"https://pith.science/pith/VLSQZMT7QTSWRE3BZUQK3D27HX","bundle":"https://pith.science/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/bundle.json","state":"https://pith.science/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLSQZMT7QTSWRE3BZUQK3D27HX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VLSQZMT7QTSWRE3BZUQK3D27HX","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":"d85701fe5bcd2539ce58ea58cb8926dd619b5baf8b57442e6d7a2de21016bc19","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-11T12:05:41Z","title_canon_sha256":"c71b9aadb56c34196da28206f529a5f0d1c135d64863a17efcb7ddcc6d638ca0"},"schema_version":"1.0","source":{"id":"1805.04348","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04348","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04348v1","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04348","created_at":"2026-05-18T00:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"VLSQZMT7QTSW","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLSQZMT7QTSWRE3B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLSQZMT7","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:24cf3c11431dbfd6ada00f62effd39518ca1fc6e7c2d9be2f071b38cb61af7ac","target":"graph","created_at":"2026-05-18T00:16:12Z","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":"Quantized compressive sensing (QCS) deals with the problem of representing compressive signal measurements with finite precision representation, i.e., a mandatory process in any practical sensor design. To characterize the signal reconstruction quality in this framework, most of the existing theoretical analyses lie heavily on the quantization of sub-Gaussian random projections (e.g., Gaussian or Bernoulli). We show here that a simple uniform scalar quantizer is compatible with a large class of random sensing matrices known to respect, with high probability, the restricted isometry property (R","authors_text":"Chunlei Xu, Laurent Jacques, Vincent Schellekens","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-11T12:05:41Z","title":"Taking the edge off quantization: projected back projection in dithered compressive sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04348","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":"sha256:86bc170addc1f9ff449920789cb2b6959e8f1949b1e4f0fce2e18ba188a1812c","target":"record","created_at":"2026-05-18T00:16:12Z","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":"d85701fe5bcd2539ce58ea58cb8926dd619b5baf8b57442e6d7a2de21016bc19","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-11T12:05:41Z","title_canon_sha256":"c71b9aadb56c34196da28206f529a5f0d1c135d64863a17efcb7ddcc6d638ca0"},"schema_version":"1.0","source":{"id":"1805.04348","kind":"arxiv","version":1}},"canonical_sha256":"aae50cb27f84e5689361cd20ad8f5f3deb5b552fc3016f3b26aebdb24907ccc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aae50cb27f84e5689361cd20ad8f5f3deb5b552fc3016f3b26aebdb24907ccc4","first_computed_at":"2026-05-18T00:16:12.737397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:12.737397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OZ/ofr4E+K0xePZI7UTZUcAqwO+YCkIbDI+q1Bvax8fhOd1rNgSJrg+OyBt7Xn/B3nMfW+ick4XCofR5BcDHBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:12.738042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04348","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86bc170addc1f9ff449920789cb2b6959e8f1949b1e4f0fce2e18ba188a1812c","sha256:24cf3c11431dbfd6ada00f62effd39518ca1fc6e7c2d9be2f071b38cb61af7ac"],"state_sha256":"22db317f977ed86ad2ba53bbd88e6bc4a25f995d1173868a100255e698a7dfcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdGu7ZmAi4PxQG9tN7oMvaomDeN/cVu6vdWQgCXHAZOHWJS5lWp3HLbgF81h5ppaFI6PEvXgGStSslx1wGz+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:27:43.691532Z","bundle_sha256":"3103b65df9520a8a420d647c27d428fb0b49a551a46a5a252e81453c5aa743a1"}}