{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LMAU56XQVORNYDU77E3PMEZHHG","short_pith_number":"pith:LMAU56XQ","canonical_record":{"source":{"id":"1910.06151","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-10-14T14:04:30Z","cross_cats_sorted":["cs.LG","quant-ph"],"title_canon_sha256":"441ed88e8721fa1b23acb5f57115efbbdc06c2f972099a9463fa17790c1a82e9","abstract_canon_sha256":"e457aa8b3da96ceaf9ddeed3fa7a731f945657cfce48e7144ce89a11f84f8886"},"schema_version":"1.0"},"canonical_sha256":"5b014efaf0aba2dc0e9ff936f6132739aef27749b00cc19bbf5a6125830f5a66","source":{"kind":"arxiv","id":"1910.06151","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.06151","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1910.06151v4","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.06151","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"LMAU56XQVORN","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_16","alias_value":"LMAU56XQVORNYDU7","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_8","alias_value":"LMAU56XQ","created_at":"2026-07-05T06:29:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LMAU56XQVORNYDU77E3PMEZHHG","target":"record","payload":{"canonical_record":{"source":{"id":"1910.06151","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-10-14T14:04:30Z","cross_cats_sorted":["cs.LG","quant-ph"],"title_canon_sha256":"441ed88e8721fa1b23acb5f57115efbbdc06c2f972099a9463fa17790c1a82e9","abstract_canon_sha256":"e457aa8b3da96ceaf9ddeed3fa7a731f945657cfce48e7144ce89a11f84f8886"},"schema_version":"1.0"},"canonical_sha256":"5b014efaf0aba2dc0e9ff936f6132739aef27749b00cc19bbf5a6125830f5a66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:29:59.158522Z","signature_b64":"rAGya9S0mQhbkkcaOVJ1QUrFrIf/3D3r1BPNrZqwMxt7DAO4V3zpi9Q+dbsc2lEUgwRVe9EW9ApCYMEtxP2sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b014efaf0aba2dc0e9ff936f6132739aef27749b00cc19bbf5a6125830f5a66","last_reissued_at":"2026-07-05T06:29:59.158011Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:29:59.158011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.06151","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQpFWeSjpWAzrVvsN6jQ6ZOLy/+zM3Cpie0GPQ95j6QNUMmTQdK75HhBwDxmtekrIi2cz26Vg29z50mhagSrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:21:51.626950Z"},"content_sha256":"1b48c8434c502f542d468d16c9e34a0f132747f9493919a13e354e7aaf80c9dd","schema_version":"1.0","event_id":"sha256:1b48c8434c502f542d468d16c9e34a0f132747f9493919a13e354e7aaf80c9dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LMAU56XQVORNYDU77E3PMEZHHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","quant-ph"],"primary_cat":"cs.DS","authors_text":"Andr\\'as Gily\\'en, Chunhao Wang, Ewin Tang, Han-Hsuan Lin, Nai-Hui Chia, Tongyang Li","submitted_at":"2019-10-14T14:04:30Z","abstract_excerpt":"We present an algorithmic framework for quantum-inspired classical algorithms on close-to-low-rank matrices, generalizing the series of results started by Tang's breakthrough quantum-inspired algorithm for recommendation systems [STOC'19]. Motivated by quantum linear algebra algorithms and the quantum singular value transformation (SVT) framework of Gily\\'en, Su, Low, and Wiebe [STOC'19], we develop classical algorithms for SVT that run in time independent of input dimension, under suitable quantum-inspired sampling assumptions. Our results give compelling evidence that in the corresponding QR"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.06151","kind":"arxiv","version":4},"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/1910.06151/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":"2026-07-05T06:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8mvqgJCO5QUaBv3eX9gIV4BMN0TDk6390kfbnzmUDCW0KxpdaJ6SZ/X10BgJ4mea2jrlH2QuZjNx9I9wxS5OBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:21:51.627466Z"},"content_sha256":"c4634865e5582f96c8be63c575d3fe0c00eb2e69262df8ae65515893c4baf1a3","schema_version":"1.0","event_id":"sha256:c4634865e5582f96c8be63c575d3fe0c00eb2e69262df8ae65515893c4baf1a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMAU56XQVORNYDU77E3PMEZHHG/bundle.json","state_url":"https://pith.science/pith/LMAU56XQVORNYDU77E3PMEZHHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMAU56XQVORNYDU77E3PMEZHHG/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":"2026-08-06T08:21:51Z","links":{"resolver":"https://pith.science/pith/LMAU56XQVORNYDU77E3PMEZHHG","bundle":"https://pith.science/pith/LMAU56XQVORNYDU77E3PMEZHHG/bundle.json","state":"https://pith.science/pith/LMAU56XQVORNYDU77E3PMEZHHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMAU56XQVORNYDU77E3PMEZHHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LMAU56XQVORNYDU77E3PMEZHHG","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":"e457aa8b3da96ceaf9ddeed3fa7a731f945657cfce48e7144ce89a11f84f8886","cross_cats_sorted":["cs.LG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-10-14T14:04:30Z","title_canon_sha256":"441ed88e8721fa1b23acb5f57115efbbdc06c2f972099a9463fa17790c1a82e9"},"schema_version":"1.0","source":{"id":"1910.06151","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.06151","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1910.06151v4","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.06151","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"LMAU56XQVORN","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_16","alias_value":"LMAU56XQVORNYDU7","created_at":"2026-07-05T06:29:59Z"},{"alias_kind":"pith_short_8","alias_value":"LMAU56XQ","created_at":"2026-07-05T06:29:59Z"}],"graph_snapshots":[{"event_id":"sha256:c4634865e5582f96c8be63c575d3fe0c00eb2e69262df8ae65515893c4baf1a3","target":"graph","created_at":"2026-07-05T06:29:59Z","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/1910.06151/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an algorithmic framework for quantum-inspired classical algorithms on close-to-low-rank matrices, generalizing the series of results started by Tang's breakthrough quantum-inspired algorithm for recommendation systems [STOC'19]. Motivated by quantum linear algebra algorithms and the quantum singular value transformation (SVT) framework of Gily\\'en, Su, Low, and Wiebe [STOC'19], we develop classical algorithms for SVT that run in time independent of input dimension, under suitable quantum-inspired sampling assumptions. Our results give compelling evidence that in the corresponding QR","authors_text":"Andr\\'as Gily\\'en, Chunhao Wang, Ewin Tang, Han-Hsuan Lin, Nai-Hui Chia, Tongyang Li","cross_cats":["cs.LG","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-10-14T14:04:30Z","title":"Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.06151","kind":"arxiv","version":4},"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":"sha256:1b48c8434c502f542d468d16c9e34a0f132747f9493919a13e354e7aaf80c9dd","target":"record","created_at":"2026-07-05T06:29:59Z","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":"e457aa8b3da96ceaf9ddeed3fa7a731f945657cfce48e7144ce89a11f84f8886","cross_cats_sorted":["cs.LG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-10-14T14:04:30Z","title_canon_sha256":"441ed88e8721fa1b23acb5f57115efbbdc06c2f972099a9463fa17790c1a82e9"},"schema_version":"1.0","source":{"id":"1910.06151","kind":"arxiv","version":4}},"canonical_sha256":"5b014efaf0aba2dc0e9ff936f6132739aef27749b00cc19bbf5a6125830f5a66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b014efaf0aba2dc0e9ff936f6132739aef27749b00cc19bbf5a6125830f5a66","first_computed_at":"2026-07-05T06:29:59.158011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:29:59.158011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rAGya9S0mQhbkkcaOVJ1QUrFrIf/3D3r1BPNrZqwMxt7DAO4V3zpi9Q+dbsc2lEUgwRVe9EW9ApCYMEtxP2sAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:29:59.158522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.06151","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b48c8434c502f542d468d16c9e34a0f132747f9493919a13e354e7aaf80c9dd","sha256:c4634865e5582f96c8be63c575d3fe0c00eb2e69262df8ae65515893c4baf1a3"],"state_sha256":"cfc41105c8c7daa3df90862693bc48ce312aa6c35880857cc3b383c1cae41bf6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ERmxsZLEL1FrGdv7L524zYaKO85Io1GfFFsn2Ijv7P0t5OqpqJ/qNqSDv36MikNhlU8j2O5mlLGvrDuAcG1JAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:21:51.631098Z","bundle_sha256":"59491732452b0cae68fecdbb879e7ea9dde09a9555ba84ad168b0a7b96f07bf9"}}