{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PRO4KLUWOJEQULJOLZKCD2WRFZ","short_pith_number":"pith:PRO4KLUW","canonical_record":{"source":{"id":"1301.1423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T06:36:47Z","cross_cats_sorted":["cond-mat.dis-nn","math.IT"],"title_canon_sha256":"72b9ad60ecdbc7d26a6c4d0a490c7e7a353cef1020334362132b701a6c7a04a5","abstract_canon_sha256":"4d42df9519a873edb173ee7c29a0375cb173e591fcc8c5369a46c61c90225d7d"},"schema_version":"1.0"},"canonical_sha256":"7c5dc52e9672490a2d2e5e5421ead12e410588edf4f0b31e90796d324be49343","source":{"kind":"arxiv","id":"1301.1423","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1423","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1423v2","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1423","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"PRO4KLUWOJEQ","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PRO4KLUWOJEQULJO","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PRO4KLUW","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PRO4KLUWOJEQULJOLZKCD2WRFZ","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T06:36:47Z","cross_cats_sorted":["cond-mat.dis-nn","math.IT"],"title_canon_sha256":"72b9ad60ecdbc7d26a6c4d0a490c7e7a353cef1020334362132b701a6c7a04a5","abstract_canon_sha256":"4d42df9519a873edb173ee7c29a0375cb173e591fcc8c5369a46c61c90225d7d"},"schema_version":"1.0"},"canonical_sha256":"7c5dc52e9672490a2d2e5e5421ead12e410588edf4f0b31e90796d324be49343","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:57.492803Z","signature_b64":"t+73icp5WTiyE64TvfACdzzKHupVcTXB4bB1ggMG/l/upbghcA81KnJqyNfwJkoGh2PUHD2HF24V5Rx0Af+9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c5dc52e9672490a2d2e5e5421ead12e410588edf4f0b31e90796d324be49343","last_reissued_at":"2026-05-18T02:58:57.492020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:57.492020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1423","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":"2026-05-18T02:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k1bkLFEIKpod3MtaNijQLEndHHsZVaS8Ke0yPxrBdCeGzDTXSPojLNArrScNYPAbeTJBX13Lylz9rjCUYSWZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:19:33.989249Z"},"content_sha256":"9b43dd67ae3a1293c23b4d878716819d97017f4a944e6d100fc0973810e1bd51","schema_version":"1.0","event_id":"sha256:9b43dd67ae3a1293c23b4d878716819d97017f4a944e6d100fc0973810e1bd51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PRO4KLUWOJEQULJOLZKCD2WRFZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical mechanics approach to 1-bit compressed sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math.IT"],"primary_cat":"cs.IT","authors_text":"Yingying Xu, Yoshiyuki Kabashima","submitted_at":"2013-01-08T06:36:47Z","abstract_excerpt":"Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further reducing the data size of the compressed expression, a scheme to recover the original signal utilizing only the sign of each entry of the linearly transformed vector was recently proposed. This approach is often termed the 1-bit compressed sensing. Here we analyze the typical performance of an L1-norm based signal recovery scheme for the 1-bit compressed sensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1423","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":"2026-05-18T02:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wek2Wcln2CCh4IUl7HXmDDF8RusQvqJWeNS/s4B9Gwx8MYrardPKbG10Wkc5TkvI6sM4gr0CE4SkDQz8qXpVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:19:33.989937Z"},"content_sha256":"a61eab244151d931cbac279f2118f26dd33316b3d9dea0c4770682d78fb04662","schema_version":"1.0","event_id":"sha256:a61eab244151d931cbac279f2118f26dd33316b3d9dea0c4770682d78fb04662"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/bundle.json","state_url":"https://pith.science/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/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":"2026-06-07T00:19:33Z","links":{"resolver":"https://pith.science/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ","bundle":"https://pith.science/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/bundle.json","state":"https://pith.science/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PRO4KLUWOJEQULJOLZKCD2WRFZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PRO4KLUWOJEQULJOLZKCD2WRFZ","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":"4d42df9519a873edb173ee7c29a0375cb173e591fcc8c5369a46c61c90225d7d","cross_cats_sorted":["cond-mat.dis-nn","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T06:36:47Z","title_canon_sha256":"72b9ad60ecdbc7d26a6c4d0a490c7e7a353cef1020334362132b701a6c7a04a5"},"schema_version":"1.0","source":{"id":"1301.1423","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1423","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1423v2","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1423","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"PRO4KLUWOJEQ","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PRO4KLUWOJEQULJO","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PRO4KLUW","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:a61eab244151d931cbac279f2118f26dd33316b3d9dea0c4770682d78fb04662","target":"graph","created_at":"2026-05-18T02:58:57Z","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 is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further reducing the data size of the compressed expression, a scheme to recover the original signal utilizing only the sign of each entry of the linearly transformed vector was recently proposed. This approach is often termed the 1-bit compressed sensing. Here we analyze the typical performance of an L1-norm based signal recovery scheme for the 1-bit compressed sensi","authors_text":"Yingying Xu, Yoshiyuki Kabashima","cross_cats":["cond-mat.dis-nn","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T06:36:47Z","title":"Statistical mechanics approach to 1-bit compressed sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1423","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":"sha256:9b43dd67ae3a1293c23b4d878716819d97017f4a944e6d100fc0973810e1bd51","target":"record","created_at":"2026-05-18T02:58:57Z","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":"4d42df9519a873edb173ee7c29a0375cb173e591fcc8c5369a46c61c90225d7d","cross_cats_sorted":["cond-mat.dis-nn","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T06:36:47Z","title_canon_sha256":"72b9ad60ecdbc7d26a6c4d0a490c7e7a353cef1020334362132b701a6c7a04a5"},"schema_version":"1.0","source":{"id":"1301.1423","kind":"arxiv","version":2}},"canonical_sha256":"7c5dc52e9672490a2d2e5e5421ead12e410588edf4f0b31e90796d324be49343","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c5dc52e9672490a2d2e5e5421ead12e410588edf4f0b31e90796d324be49343","first_computed_at":"2026-05-18T02:58:57.492020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:57.492020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t+73icp5WTiyE64TvfACdzzKHupVcTXB4bB1ggMG/l/upbghcA81KnJqyNfwJkoGh2PUHD2HF24V5Rx0Af+9DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:57.492803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1423","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b43dd67ae3a1293c23b4d878716819d97017f4a944e6d100fc0973810e1bd51","sha256:a61eab244151d931cbac279f2118f26dd33316b3d9dea0c4770682d78fb04662"],"state_sha256":"55fdce1ade6ba1fed811e05f8377fd0641a4f913fcf2f6030ae665c56971b20b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CPxlpsbf7I4H4772EmExA8DIz39MOxp01RcoTChpRyKfPPlErioXU6BOm2rwbqZ6P7vTd7yf/o57M3QLVgnnBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T00:19:33.993611Z","bundle_sha256":"eae394bc64e2c721c30988fa713821eeaf1c646947e30f5feebe1441bd4db406"}}