{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AQWMUCYBJS3OGIRSOHGXA4TJFK","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":"4a21c34e2342da958f969a99a92cac172e356273be3b61cdc0aec12cf2625774","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-09T02:59:27Z","title_canon_sha256":"bc8372558c7bc9a1948c8857faa56a50d683a592f81bd0552976ea655736e227"},"schema_version":"1.0","source":{"id":"1909.03604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.03604","created_at":"2026-07-05T00:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1909.03604v1","created_at":"2026-07-05T00:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.03604","created_at":"2026-07-05T00:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"AQWMUCYBJS3O","created_at":"2026-07-05T00:03:07Z"},{"alias_kind":"pith_short_16","alias_value":"AQWMUCYBJS3OGIRS","created_at":"2026-07-05T00:03:07Z"},{"alias_kind":"pith_short_8","alias_value":"AQWMUCYB","created_at":"2026-07-05T00:03:07Z"}],"graph_snapshots":[{"event_id":"sha256:0ca11111cdb2a86125228551686324480ecca9ed05659076ed2f9e46c73b2d9b","target":"graph","created_at":"2026-07-05T00:03:07Z","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/1909.03604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present new adaptive sampling rules for the sketch-and-project method for solving linear systems. To deduce our new sampling rules, we first show how the progress of one step of the sketch-and-project method depends directly on a sketched residual. Based on this insight, we derive a 1) max-distance sampling rule, by sampling the sketch with the largest sketched residual 2) a proportional sampling rule, by sampling proportional to the sketched residual, and finally 3) a capped sampling rule. The capped sampling rule is a generalization of the recently introduced adaptive sampling rules for t","authors_text":"Deanna Needell, Denali Molitor, Jacob Moorman, Robert Gower","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-09T02:59:27Z","title":"Adaptive Sketch-and-Project Methods for Solving Linear Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.03604","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:a519f8c4a6539c3a9f3b67b24c16d72c00b35fabca24a03d2a9e76bb494a71f8","target":"record","created_at":"2026-07-05T00:03:07Z","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":"4a21c34e2342da958f969a99a92cac172e356273be3b61cdc0aec12cf2625774","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-09-09T02:59:27Z","title_canon_sha256":"bc8372558c7bc9a1948c8857faa56a50d683a592f81bd0552976ea655736e227"},"schema_version":"1.0","source":{"id":"1909.03604","kind":"arxiv","version":1}},"canonical_sha256":"042cca0b014cb6e3223271cd7072692a85bfe635b939f8d890245c4854e05e60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"042cca0b014cb6e3223271cd7072692a85bfe635b939f8d890245c4854e05e60","first_computed_at":"2026-07-05T00:03:07.196041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:03:07.196041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HD9A6T03J8M3dKftqsZQRfmp2T1J+4IU/KGNPZb3vduBaFOQZ/tt9Ha3Xpc4si/T+64HCA/eNY07Sk4WCNPeDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:03:07.196394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.03604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a519f8c4a6539c3a9f3b67b24c16d72c00b35fabca24a03d2a9e76bb494a71f8","sha256:0ca11111cdb2a86125228551686324480ecca9ed05659076ed2f9e46c73b2d9b"],"state_sha256":"eec20ae6f09de86d0cb4d8b470b20708e8a113087ac1c61fb607e92937a6bb95"}