{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:VYWHOS4BW7F2MVQ5TS6EJ2T2OZ","short_pith_number":"pith:VYWHOS4B","canonical_record":{"source":{"id":"2305.02544","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-05-04T04:45:16Z","cross_cats_sorted":["cs.DS","math.ST","stat.ML","stat.TH"],"title_canon_sha256":"93d14ba3d6efd876f641fb42c336238bae177f7c9b0cd321ebfc1d9eeae80362","abstract_canon_sha256":"b7188d6f36eac0aabc68229bcdb923ef1340de561a5da6ae6ac6669fdaad5a14"},"schema_version":"1.0"},"canonical_sha256":"ae2c774b81b7cba6561d9cbc44ea7a765b2510220e00f161808037c0e75d53a1","source":{"kind":"arxiv","id":"2305.02544","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02544","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02544v1","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02544","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"VYWHOS4BW7F2","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_16","alias_value":"VYWHOS4BW7F2MVQ5","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_8","alias_value":"VYWHOS4B","created_at":"2026-07-05T06:07:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:VYWHOS4BW7F2MVQ5TS6EJ2T2OZ","target":"record","payload":{"canonical_record":{"source":{"id":"2305.02544","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-05-04T04:45:16Z","cross_cats_sorted":["cs.DS","math.ST","stat.ML","stat.TH"],"title_canon_sha256":"93d14ba3d6efd876f641fb42c336238bae177f7c9b0cd321ebfc1d9eeae80362","abstract_canon_sha256":"b7188d6f36eac0aabc68229bcdb923ef1340de561a5da6ae6ac6669fdaad5a14"},"schema_version":"1.0"},"canonical_sha256":"ae2c774b81b7cba6561d9cbc44ea7a765b2510220e00f161808037c0e75d53a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:07:02.276545Z","signature_b64":"SFz/gImddO0ukIGd64I3l+IpiaGaC7fxA6RraVbtuHcLNIdQrwY9Hvfnp5krRmMzI87KO7YKADASsg+U6a+WAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae2c774b81b7cba6561d9cbc44ea7a765b2510220e00f161808037c0e75d53a1","last_reissued_at":"2026-07-05T06:07:02.276083Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:07:02.276083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.02544","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":"2026-07-05T06:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5D/UJL18hbye7FRm416NmMjIfmSLCfN3ErIYHtVZ2Msq2/AHZy3qGcmyuywyjiny4h509gXHCU2iu11VPo4iCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T19:16:38.628418Z"},"content_sha256":"7495c755ebabf5f46d85c72c3e2775f1394450569f5884c769547caed9e868ea","schema_version":"1.0","event_id":"sha256:7495c755ebabf5f46d85c72c3e2775f1394450569f5884c769547caed9e868ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:VYWHOS4BW7F2MVQ5TS6EJ2T2OZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.ST","stat.ML","stat.TH"],"primary_cat":"cs.LG","authors_text":"Ankit Pensia, Daniel M. Kane, Ilias Diakonikolas, Thanasis Pittas","submitted_at":"2023-05-04T04:45:16Z","abstract_excerpt":"We study principal component analysis (PCA), where given a dataset in $\\mathbb{R}^d$ from a distribution, the task is to find a unit vector $v$ that approximately maximizes the variance of the distribution after being projected along $v$. Despite being a classical task, standard estimators fail drastically if the data contains even a small fraction of outliers, motivating the problem of robust PCA. Recent work has developed computationally-efficient algorithms for robust PCA that either take super-linear time or have sub-optimal error guarantees. Our main contribution is to develop a nearly-li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02544","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/2305.02544/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":"2026-07-05T06:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ui0D8MWBrhnXA2vYPLNTbZL23A2R+HbqKgeIcxijxzGaohFHEWD9zrfM9KbviULiSltK4cDPOP353qRZZcmfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-26T19:16:38.628999Z"},"content_sha256":"96dcfbd908d3b5549909668f1ea7b66374a10ce4bb1ce0169f7f3b510dde7349","schema_version":"1.0","event_id":"sha256:96dcfbd908d3b5549909668f1ea7b66374a10ce4bb1ce0169f7f3b510dde7349"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/bundle.json","state_url":"https://pith.science/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/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":"2026-07-26T19:16:38Z","links":{"resolver":"https://pith.science/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ","bundle":"https://pith.science/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/bundle.json","state":"https://pith.science/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VYWHOS4BW7F2MVQ5TS6EJ2T2OZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:VYWHOS4BW7F2MVQ5TS6EJ2T2OZ","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":"b7188d6f36eac0aabc68229bcdb923ef1340de561a5da6ae6ac6669fdaad5a14","cross_cats_sorted":["cs.DS","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-05-04T04:45:16Z","title_canon_sha256":"93d14ba3d6efd876f641fb42c336238bae177f7c9b0cd321ebfc1d9eeae80362"},"schema_version":"1.0","source":{"id":"2305.02544","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02544","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02544v1","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02544","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"VYWHOS4BW7F2","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_16","alias_value":"VYWHOS4BW7F2MVQ5","created_at":"2026-07-05T06:07:02Z"},{"alias_kind":"pith_short_8","alias_value":"VYWHOS4B","created_at":"2026-07-05T06:07:02Z"}],"graph_snapshots":[{"event_id":"sha256:96dcfbd908d3b5549909668f1ea7b66374a10ce4bb1ce0169f7f3b510dde7349","target":"graph","created_at":"2026-07-05T06:07:02Z","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/2305.02544/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study principal component analysis (PCA), where given a dataset in $\\mathbb{R}^d$ from a distribution, the task is to find a unit vector $v$ that approximately maximizes the variance of the distribution after being projected along $v$. Despite being a classical task, standard estimators fail drastically if the data contains even a small fraction of outliers, motivating the problem of robust PCA. Recent work has developed computationally-efficient algorithms for robust PCA that either take super-linear time or have sub-optimal error guarantees. Our main contribution is to develop a nearly-li","authors_text":"Ankit Pensia, Daniel M. Kane, Ilias Diakonikolas, Thanasis Pittas","cross_cats":["cs.DS","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-05-04T04:45:16Z","title":"Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02544","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":"sha256:7495c755ebabf5f46d85c72c3e2775f1394450569f5884c769547caed9e868ea","target":"record","created_at":"2026-07-05T06:07:02Z","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":"b7188d6f36eac0aabc68229bcdb923ef1340de561a5da6ae6ac6669fdaad5a14","cross_cats_sorted":["cs.DS","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-05-04T04:45:16Z","title_canon_sha256":"93d14ba3d6efd876f641fb42c336238bae177f7c9b0cd321ebfc1d9eeae80362"},"schema_version":"1.0","source":{"id":"2305.02544","kind":"arxiv","version":1}},"canonical_sha256":"ae2c774b81b7cba6561d9cbc44ea7a765b2510220e00f161808037c0e75d53a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae2c774b81b7cba6561d9cbc44ea7a765b2510220e00f161808037c0e75d53a1","first_computed_at":"2026-07-05T06:07:02.276083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:07:02.276083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SFz/gImddO0ukIGd64I3l+IpiaGaC7fxA6RraVbtuHcLNIdQrwY9Hvfnp5krRmMzI87KO7YKADASsg+U6a+WAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:07:02.276545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.02544","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7495c755ebabf5f46d85c72c3e2775f1394450569f5884c769547caed9e868ea","sha256:96dcfbd908d3b5549909668f1ea7b66374a10ce4bb1ce0169f7f3b510dde7349"],"state_sha256":"62479740b968a4fc4d314156d315f532c3e0d4a62f2feec3e481fff625c4f3db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Om317k2x8F7hmepGEvL/ic56LsjVf0JP/WNCMiehCiz7KQy+DDBXC71LwpNoh41Yt6AYQsTWoUL3hOAStRGBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-26T19:16:38.631429Z","bundle_sha256":"0ab2b5a1558fa7303de8f1bc3ce0b2cb78edecc04a423a0a0a5b0e2ce2d84aad"}}