{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2K4MPWV5LVEW3SZSWNMVVX3RDJ","short_pith_number":"pith:2K4MPWV5","canonical_record":{"source":{"id":"1401.4313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-17T11:34:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3e3da1592788d9b7ffd8cb0c88fea8afe28a6629545bfdaba41c65e7f718a6ad","abstract_canon_sha256":"73e0a78ec2cead425dbcc88a41022dd1ee60f342f942cf81037a746572511f9d"},"schema_version":"1.0"},"canonical_sha256":"d2b8c7dabd5d496dcb32b3595adf711a7515475e3d0e82012037e286d0f0f3cc","source":{"kind":"arxiv","id":"1401.4313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4313","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4313v1","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4313","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"pith_short_12","alias_value":"2K4MPWV5LVEW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2K4MPWV5LVEW3SZS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2K4MPWV5","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2K4MPWV5LVEW3SZSWNMVVX3RDJ","target":"record","payload":{"canonical_record":{"source":{"id":"1401.4313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-17T11:34:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3e3da1592788d9b7ffd8cb0c88fea8afe28a6629545bfdaba41c65e7f718a6ad","abstract_canon_sha256":"73e0a78ec2cead425dbcc88a41022dd1ee60f342f942cf81037a746572511f9d"},"schema_version":"1.0"},"canonical_sha256":"d2b8c7dabd5d496dcb32b3595adf711a7515475e3d0e82012037e286d0f0f3cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:55.362015Z","signature_b64":"HZ5QUHDLCWrg1s1HB1Mn91ku8ztofvw1jnky1fA+Nf9HStRYe578TXK/lQ17jOkj0LlSomEng2LJdnvnRBYEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2b8c7dabd5d496dcb32b3595adf711a7515475e3d0e82012037e286d0f0f3cc","last_reissued_at":"2026-05-18T03:01:55.361310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:55.361310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.4313","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":"2026-05-18T03:01:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PU3l4SWQcPqLMEisPPeN1/dHWIYS2Zkrprfh4aLmZT5MM/iQTOM3xnlqmn9SD/rvXSTuktvv6oeY4Xe1iTe6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:26:54.985049Z"},"content_sha256":"148055133f5ae16e9100eeccef8690e30f63f7c8b5b725bb6258ec99aad1ae1b","schema_version":"1.0","event_id":"sha256:148055133f5ae16e9100eeccef8690e30f63f7c8b5b725bb6258ec99aad1ae1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2K4MPWV5LVEW3SZSWNMVVX3RDJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Bayesian compressed sensing over finite fields: asymptotic performance analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Francesca Bassi, Michel Kieffer, Wenjie Li","submitted_at":"2014-01-17T11:34:02Z","abstract_excerpt":"This paper addresses the topic of robust Bayesian compressed sensing over finite fields. For stationary and ergodic sources, it provides asymptotic (with the size of the vector to estimate) necessary and sufficient conditions on the number of required measurements to achieve vanishing reconstruction error, in presence of sensing and communication noise. In all considered cases, the necessary and sufficient conditions asymptotically coincide. Conditions on the sparsity of the sensing matrix are established in presence of communication noise. Several previously published results are generalized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4313","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":"2026-05-18T03:01:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4PaCSVRuqC1F8VaZK/s/Wdbln5gCWwtccWcekYIhNClRTt345WG2iiXVc5ycnGBbsfYICWREKFhVuFtwCbmZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:26:54.985441Z"},"content_sha256":"3016a161f51b3532aaa9472b1edfa0fef01ac0df05d0f5a3f36839f83582c868","schema_version":"1.0","event_id":"sha256:3016a161f51b3532aaa9472b1edfa0fef01ac0df05d0f5a3f36839f83582c868"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/bundle.json","state_url":"https://pith.science/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/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":"2026-06-02T20:26:54Z","links":{"resolver":"https://pith.science/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ","bundle":"https://pith.science/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/bundle.json","state":"https://pith.science/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2K4MPWV5LVEW3SZSWNMVVX3RDJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2K4MPWV5LVEW3SZSWNMVVX3RDJ","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":"73e0a78ec2cead425dbcc88a41022dd1ee60f342f942cf81037a746572511f9d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-17T11:34:02Z","title_canon_sha256":"3e3da1592788d9b7ffd8cb0c88fea8afe28a6629545bfdaba41c65e7f718a6ad"},"schema_version":"1.0","source":{"id":"1401.4313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4313","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4313v1","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4313","created_at":"2026-05-18T03:01:55Z"},{"alias_kind":"pith_short_12","alias_value":"2K4MPWV5LVEW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2K4MPWV5LVEW3SZS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2K4MPWV5","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:3016a161f51b3532aaa9472b1edfa0fef01ac0df05d0f5a3f36839f83582c868","target":"graph","created_at":"2026-05-18T03:01:55Z","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":"This paper addresses the topic of robust Bayesian compressed sensing over finite fields. For stationary and ergodic sources, it provides asymptotic (with the size of the vector to estimate) necessary and sufficient conditions on the number of required measurements to achieve vanishing reconstruction error, in presence of sensing and communication noise. In all considered cases, the necessary and sufficient conditions asymptotically coincide. Conditions on the sparsity of the sensing matrix are established in presence of communication noise. Several previously published results are generalized ","authors_text":"Francesca Bassi, Michel Kieffer, Wenjie Li","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-17T11:34:02Z","title":"Robust Bayesian compressed sensing over finite fields: asymptotic performance analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4313","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":"sha256:148055133f5ae16e9100eeccef8690e30f63f7c8b5b725bb6258ec99aad1ae1b","target":"record","created_at":"2026-05-18T03:01:55Z","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":"73e0a78ec2cead425dbcc88a41022dd1ee60f342f942cf81037a746572511f9d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-17T11:34:02Z","title_canon_sha256":"3e3da1592788d9b7ffd8cb0c88fea8afe28a6629545bfdaba41c65e7f718a6ad"},"schema_version":"1.0","source":{"id":"1401.4313","kind":"arxiv","version":1}},"canonical_sha256":"d2b8c7dabd5d496dcb32b3595adf711a7515475e3d0e82012037e286d0f0f3cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2b8c7dabd5d496dcb32b3595adf711a7515475e3d0e82012037e286d0f0f3cc","first_computed_at":"2026-05-18T03:01:55.361310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:55.361310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HZ5QUHDLCWrg1s1HB1Mn91ku8ztofvw1jnky1fA+Nf9HStRYe578TXK/lQ17jOkj0LlSomEng2LJdnvnRBYEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:55.362015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.4313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:148055133f5ae16e9100eeccef8690e30f63f7c8b5b725bb6258ec99aad1ae1b","sha256:3016a161f51b3532aaa9472b1edfa0fef01ac0df05d0f5a3f36839f83582c868"],"state_sha256":"6be17a7541522d18e3132f65838e3572b6017d67b6ef141367d068f2e42223df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A5trrT/fKDzfO7A9zQzBckh5XA5HbrC/sQvX2PlM+ce3OWkfgPb1G/6Ra36AoIjGflNxaOynDB1+ru+cYtTRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:26:54.987424Z","bundle_sha256":"0aed60ab136b16952aa5ce77009d8da3148b0480824b9653290ce9d4f59671c9"}}