{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SGWVTV6XPA4S2CV6TEDM22HSPH","short_pith_number":"pith:SGWVTV6X","canonical_record":{"source":{"id":"2111.14486","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-11-29T12:06:47Z","cross_cats_sorted":["eess.SP","stat.ML"],"title_canon_sha256":"1219faa19fb69152f97fea612b6b91da4de7f6e47f7e421117f2798a897fa1fc","abstract_canon_sha256":"a92743d8fcc0c05868dc9394c0a6c432410fcc37b2d9cd806d8ccf4a980043e6"},"schema_version":"1.0"},"canonical_sha256":"91ad59d7d778392d0abe9906cd68f279e09d1d23fbe0f0f0c23efe2427deb049","source":{"kind":"arxiv","id":"2111.14486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14486","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14486v1","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14486","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"SGWVTV6XPA4S","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_16","alias_value":"SGWVTV6XPA4S2CV6","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_8","alias_value":"SGWVTV6X","created_at":"2026-07-05T03:35:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SGWVTV6XPA4S2CV6TEDM22HSPH","target":"record","payload":{"canonical_record":{"source":{"id":"2111.14486","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-11-29T12:06:47Z","cross_cats_sorted":["eess.SP","stat.ML"],"title_canon_sha256":"1219faa19fb69152f97fea612b6b91da4de7f6e47f7e421117f2798a897fa1fc","abstract_canon_sha256":"a92743d8fcc0c05868dc9394c0a6c432410fcc37b2d9cd806d8ccf4a980043e6"},"schema_version":"1.0"},"canonical_sha256":"91ad59d7d778392d0abe9906cd68f279e09d1d23fbe0f0f0c23efe2427deb049","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:35:52.421758Z","signature_b64":"SBOEaqOrehdQurqZxPgCL0/dVE10Z6lzAwRJNuzFh8VFKeRfA2V/sMNAwV3oLY6gB9blFHB17TDXCvQIqt2DCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91ad59d7d778392d0abe9906cd68f279e09d1d23fbe0f0f0c23efe2427deb049","last_reissued_at":"2026-07-05T03:35:52.421282Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:35:52.421282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.14486","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":"2026-07-05T03:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fIVt41qRv9t/Oyk7+3mJfF91l+cV63eTwSMVhU1v1F4pDui7BrFD0aqU3xFgW/zVT2R2fQy9KhG3jaZYprSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:42:34.370842Z"},"content_sha256":"c7858f25ebfa6373a566aa161571c7f90ca4cd899b6ee1eda09d1a94b42515df","schema_version":"1.0","event_id":"sha256:c7858f25ebfa6373a566aa161571c7f90ca4cd899b6ee1eda09d1a94b42515df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SGWVTV6XPA4S2CV6TEDM22HSPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["eess.SP","stat.ML"],"primary_cat":"cs.LG","authors_text":"Dingwei Li, Min Liu, Xiangliang Lu, Yuanyuan Yang, Yuling Jiao","submitted_at":"2021-11-29T12:06:47Z","abstract_excerpt":"In this paper, we consider recovering $n$ dimensional signals from $m$ binary measurements corrupted by noises and sign flips under the assumption that the target signals have low generative intrinsic dimension, i.e., the target signals can be approximately generated via an $L$-Lipschitz generator $G: \\mathbb{R}^k\\rightarrow\\mathbb{R}^{n}, k\\ll n$. Although the binary measurements model is highly nonlinear, we propose a least square decoder and prove that, up to a constant $c$, with high probability, the least square decoder achieves a sharp estimation error $\\mathcal{O} (\\sqrt{\\frac{k\\log (Ln"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14486","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.14486/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FjrGqwcmxrvkUN4lMxxN71IPUEWmL0f+Mr5w4M7VVCn0N8isBhYkU9BvJhf35ZA4yXSeZAzBXMFY8yfghqVrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:42:34.371217Z"},"content_sha256":"b698f9b28f81d259e735204090c3d6dad0f24a84b3181e408d41adf2eb6cb3fb","schema_version":"1.0","event_id":"sha256:b698f9b28f81d259e735204090c3d6dad0f24a84b3181e408d41adf2eb6cb3fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/bundle.json","state_url":"https://pith.science/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/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":"2026-07-07T13:42:34Z","links":{"resolver":"https://pith.science/pith/SGWVTV6XPA4S2CV6TEDM22HSPH","bundle":"https://pith.science/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/bundle.json","state":"https://pith.science/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGWVTV6XPA4S2CV6TEDM22HSPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SGWVTV6XPA4S2CV6TEDM22HSPH","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":"a92743d8fcc0c05868dc9394c0a6c432410fcc37b2d9cd806d8ccf4a980043e6","cross_cats_sorted":["eess.SP","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-11-29T12:06:47Z","title_canon_sha256":"1219faa19fb69152f97fea612b6b91da4de7f6e47f7e421117f2798a897fa1fc"},"schema_version":"1.0","source":{"id":"2111.14486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14486","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14486v1","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14486","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"SGWVTV6XPA4S","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_16","alias_value":"SGWVTV6XPA4S2CV6","created_at":"2026-07-05T03:35:52Z"},{"alias_kind":"pith_short_8","alias_value":"SGWVTV6X","created_at":"2026-07-05T03:35:52Z"}],"graph_snapshots":[{"event_id":"sha256:b698f9b28f81d259e735204090c3d6dad0f24a84b3181e408d41adf2eb6cb3fb","target":"graph","created_at":"2026-07-05T03:35:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.14486/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider recovering $n$ dimensional signals from $m$ binary measurements corrupted by noises and sign flips under the assumption that the target signals have low generative intrinsic dimension, i.e., the target signals can be approximately generated via an $L$-Lipschitz generator $G: \\mathbb{R}^k\\rightarrow\\mathbb{R}^{n}, k\\ll n$. Although the binary measurements model is highly nonlinear, we propose a least square decoder and prove that, up to a constant $c$, with high probability, the least square decoder achieves a sharp estimation error $\\mathcal{O} (\\sqrt{\\frac{k\\log (Ln","authors_text":"Dingwei Li, Min Liu, Xiangliang Lu, Yuanyuan Yang, Yuling Jiao","cross_cats":["eess.SP","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-11-29T12:06:47Z","title":"Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14486","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:c7858f25ebfa6373a566aa161571c7f90ca4cd899b6ee1eda09d1a94b42515df","target":"record","created_at":"2026-07-05T03:35:52Z","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":"a92743d8fcc0c05868dc9394c0a6c432410fcc37b2d9cd806d8ccf4a980043e6","cross_cats_sorted":["eess.SP","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-11-29T12:06:47Z","title_canon_sha256":"1219faa19fb69152f97fea612b6b91da4de7f6e47f7e421117f2798a897fa1fc"},"schema_version":"1.0","source":{"id":"2111.14486","kind":"arxiv","version":1}},"canonical_sha256":"91ad59d7d778392d0abe9906cd68f279e09d1d23fbe0f0f0c23efe2427deb049","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91ad59d7d778392d0abe9906cd68f279e09d1d23fbe0f0f0c23efe2427deb049","first_computed_at":"2026-07-05T03:35:52.421282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:35:52.421282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SBOEaqOrehdQurqZxPgCL0/dVE10Z6lzAwRJNuzFh8VFKeRfA2V/sMNAwV3oLY6gB9blFHB17TDXCvQIqt2DCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:35:52.421758Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.14486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7858f25ebfa6373a566aa161571c7f90ca4cd899b6ee1eda09d1a94b42515df","sha256:b698f9b28f81d259e735204090c3d6dad0f24a84b3181e408d41adf2eb6cb3fb"],"state_sha256":"508641b4df6458569b919648a17378cee32420ad679efe2d7cc458a09d2e415f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lU1tuQCfQb7xYi2M1eReqkeucwi2vAQG8JjhdlSxsmIEeX2T6r6Eg4lCJDyM/vjqT9zI10ZbAiRsBosV2dw0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:42:34.373199Z","bundle_sha256":"203d5a228c84d7f1713785a60131f33498b2efed8b0048544695ed3fefbc0e1f"}}