{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ROICDA7L5XYIRQEYJ4OPUCZY3R","short_pith_number":"pith:ROICDA7L","canonical_record":{"source":{"id":"2208.05437","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-10T16:50:52Z","cross_cats_sorted":[],"title_canon_sha256":"a883ca7ec999f1a99ebcff5a1460a6be79d527b455c8165687a14ed98c40a4f5","abstract_canon_sha256":"75e88e45ff0503e2874d8a35c2d06a6fa72d7640bf62a750d4adfa05c35f53be"},"schema_version":"1.0"},"canonical_sha256":"8b902183ebedf088c0984f1cfa0b38dc741d9ba1cadeef7adcf5051b6aebc20c","source":{"kind":"arxiv","id":"2208.05437","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05437","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05437v3","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05437","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_12","alias_value":"ROICDA7L5XYI","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_16","alias_value":"ROICDA7L5XYIRQEY","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_8","alias_value":"ROICDA7L","created_at":"2026-07-05T04:51:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ROICDA7L5XYIRQEYJ4OPUCZY3R","target":"record","payload":{"canonical_record":{"source":{"id":"2208.05437","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-10T16:50:52Z","cross_cats_sorted":[],"title_canon_sha256":"a883ca7ec999f1a99ebcff5a1460a6be79d527b455c8165687a14ed98c40a4f5","abstract_canon_sha256":"75e88e45ff0503e2874d8a35c2d06a6fa72d7640bf62a750d4adfa05c35f53be"},"schema_version":"1.0"},"canonical_sha256":"8b902183ebedf088c0984f1cfa0b38dc741d9ba1cadeef7adcf5051b6aebc20c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:51:11.262434Z","signature_b64":"ldvFFLF1kQBPhYmg2kBu989sO2H26nUuajVyB+2FY+R4+2/XYSTSMnoNNWhdjCE4VZBBmucBtO223iWfzRsYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b902183ebedf088c0984f1cfa0b38dc741d9ba1cadeef7adcf5051b6aebc20c","last_reissued_at":"2026-07-05T04:51:11.261997Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:51:11.261997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.05437","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:51:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qjzcgWGEx6rtRDTkyx9YnCiRUPoq/G1Wl3JsqB87xecbOtGxILYwnFcGg8kem5uvAiph40IlA55HJ8CAsyk7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:14:44.336684Z"},"content_sha256":"5b491f7d14c9b227ae6918b208678218d475d04c499d717d45ef2c86f447c581","schema_version":"1.0","event_id":"sha256:5b491f7d14c9b227ae6918b208678218d475d04c499d717d45ef2c86f447c581"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ROICDA7L5XYIRQEYJ4OPUCZY3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On pseudoinverse-free randomized methods for linear systems: Unified framework and acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Deren Han, Jiaxin Xie","submitted_at":"2022-08-10T16:50:52Z","abstract_excerpt":"We present a new framework for the analysis and design of randomized algorithms for solving various types of linear systems, including consistent or inconsistent, full rank or rank-deficient. Our method is formulated with four randomized sampling parameters, which allows the method to cover many existing randomization algorithms within a unified framework, including the doubly stochastic Gauss-Seidel, randomized Kaczmarz method, randomized coordinate descent method, and Gaussian Kaczmarz method. Compared with the projection-based block algorithms where a pseudoinverse for solving a least-squar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05437","kind":"arxiv","version":3},"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/2208.05437/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":"2026-07-05T04:51:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IG4BzD3K5QMSEXILj4Vsfc2kTl2x2u53mMXI5A52hM/KqLgZGo7bdSZkQsJLsEoTaOOUWUXVVuqSwuJCazcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:14:44.337226Z"},"content_sha256":"a3e537220b48f419f14f988ac2508490738786445249a2acfad68c2b26bdddd2","schema_version":"1.0","event_id":"sha256:a3e537220b48f419f14f988ac2508490738786445249a2acfad68c2b26bdddd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/bundle.json","state_url":"https://pith.science/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/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":"2026-08-11T08:14:44Z","links":{"resolver":"https://pith.science/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R","bundle":"https://pith.science/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/bundle.json","state":"https://pith.science/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROICDA7L5XYIRQEYJ4OPUCZY3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ROICDA7L5XYIRQEYJ4OPUCZY3R","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":"75e88e45ff0503e2874d8a35c2d06a6fa72d7640bf62a750d4adfa05c35f53be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-10T16:50:52Z","title_canon_sha256":"a883ca7ec999f1a99ebcff5a1460a6be79d527b455c8165687a14ed98c40a4f5"},"schema_version":"1.0","source":{"id":"2208.05437","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05437","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05437v3","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05437","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_12","alias_value":"ROICDA7L5XYI","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_16","alias_value":"ROICDA7L5XYIRQEY","created_at":"2026-07-05T04:51:11Z"},{"alias_kind":"pith_short_8","alias_value":"ROICDA7L","created_at":"2026-07-05T04:51:11Z"}],"graph_snapshots":[{"event_id":"sha256:a3e537220b48f419f14f988ac2508490738786445249a2acfad68c2b26bdddd2","target":"graph","created_at":"2026-07-05T04:51:11Z","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/2208.05437/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new framework for the analysis and design of randomized algorithms for solving various types of linear systems, including consistent or inconsistent, full rank or rank-deficient. Our method is formulated with four randomized sampling parameters, which allows the method to cover many existing randomization algorithms within a unified framework, including the doubly stochastic Gauss-Seidel, randomized Kaczmarz method, randomized coordinate descent method, and Gaussian Kaczmarz method. Compared with the projection-based block algorithms where a pseudoinverse for solving a least-squar","authors_text":"Deren Han, Jiaxin Xie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-10T16:50:52Z","title":"On pseudoinverse-free randomized methods for linear systems: Unified framework and acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05437","kind":"arxiv","version":3},"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":"sha256:5b491f7d14c9b227ae6918b208678218d475d04c499d717d45ef2c86f447c581","target":"record","created_at":"2026-07-05T04:51:11Z","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":"75e88e45ff0503e2874d8a35c2d06a6fa72d7640bf62a750d4adfa05c35f53be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-10T16:50:52Z","title_canon_sha256":"a883ca7ec999f1a99ebcff5a1460a6be79d527b455c8165687a14ed98c40a4f5"},"schema_version":"1.0","source":{"id":"2208.05437","kind":"arxiv","version":3}},"canonical_sha256":"8b902183ebedf088c0984f1cfa0b38dc741d9ba1cadeef7adcf5051b6aebc20c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b902183ebedf088c0984f1cfa0b38dc741d9ba1cadeef7adcf5051b6aebc20c","first_computed_at":"2026-07-05T04:51:11.261997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:51:11.261997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ldvFFLF1kQBPhYmg2kBu989sO2H26nUuajVyB+2FY+R4+2/XYSTSMnoNNWhdjCE4VZBBmucBtO223iWfzRsYAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:51:11.262434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.05437","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b491f7d14c9b227ae6918b208678218d475d04c499d717d45ef2c86f447c581","sha256:a3e537220b48f419f14f988ac2508490738786445249a2acfad68c2b26bdddd2"],"state_sha256":"944448486d100957c19a50d7f7342d48d9e066410290f294370c4874f32a4a07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J7FnBsTplhqEc5m5aQK8mFB6iyWjm+hqXtJFIOb+bK9Ax0eCgy1H0KHQd8jS63kV2Pp2GWEcB3WuMO6Xc7PKDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T08:14:44.343201Z","bundle_sha256":"b28836b0fd12b13936365da4227e3b1512e9698cfd1774224102a0aa8362db81"}}