{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7YVHOM4OAKFZ3XOJGR7KRYBRFG","short_pith_number":"pith:7YVHOM4O","canonical_record":{"source":{"id":"2503.03909","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-03-05T21:17:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0b516e4c6231103ac53c0a67478f1b3e719a85318c812f340e23d9b6a5a831c5","abstract_canon_sha256":"dbd7826178c828e2bfb286c6e79e6fac1aa227ed14974341b6169bc099f6ac42"},"schema_version":"1.0"},"canonical_sha256":"fe2a77338e028b9dddc9347ea8e031299f81eed6df888480952c81561f5f9810","source":{"kind":"arxiv","id":"2503.03909","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.03909","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"arxiv_version","alias_value":"2503.03909v2","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.03909","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_12","alias_value":"7YVHOM4OAKFZ","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_16","alias_value":"7YVHOM4OAKFZ3XOJ","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_8","alias_value":"7YVHOM4O","created_at":"2026-07-05T10:37:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7YVHOM4OAKFZ3XOJGR7KRYBRFG","target":"record","payload":{"canonical_record":{"source":{"id":"2503.03909","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-03-05T21:17:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0b516e4c6231103ac53c0a67478f1b3e719a85318c812f340e23d9b6a5a831c5","abstract_canon_sha256":"dbd7826178c828e2bfb286c6e79e6fac1aa227ed14974341b6169bc099f6ac42"},"schema_version":"1.0"},"canonical_sha256":"fe2a77338e028b9dddc9347ea8e031299f81eed6df888480952c81561f5f9810","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:37:46.257462Z","signature_b64":"eAdLsxzXNfTuDYGE81LZsDOiP+7hFufvKC/ERnK55ZXMGX/roYfTKBBMDTYaU3pCkUtBRjqwHy7gsz/4hQT8Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe2a77338e028b9dddc9347ea8e031299f81eed6df888480952c81561f5f9810","last_reissued_at":"2026-07-05T10:37:46.256554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:37:46.256554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.03909","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:37:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qQ2EdNtbR6d1HbZD446ZRG1zLSQNvMsX86FLlbrlD/s2rn8V9D8MfsPtG9zWXIpHBeCfnW5JrYpHkYFbTGYhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:21:58.036108Z"},"content_sha256":"f3966c03c19681c62d7f9bf537e4a0f089e69f6d48bef5ea646778efc3bbf68a","schema_version":"1.0","event_id":"sha256:f3966c03c19681c62d7f9bf537e4a0f089e69f6d48bef5ea646778efc3bbf68a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7YVHOM4OAKFZ3XOJGR7KRYBRFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"lrAA: Low-Rank Anderson Acceleration","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Daniel Appelo, Yingda Cheng","submitted_at":"2025-03-05T21:17:52Z","abstract_excerpt":"This paper proposes a new framework for computing low-rank solutions to nonlinear matrix equations arising from spatial discretization of nonlinear partial differential equations: low-rank Anderson acceleration (lrAA). lrAA is an adaptation of Anderson acceleration (AA), a well-known approach for solving nonlinear fixed point problems, to the low-rank format. In particular, lrAA carries out all linear and nonlinear operations in low-rank form with rank truncation using an adaptive truncation tolerance. We propose a simple scheduling strategy to update the truncation tolerance throughout the it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.03909","kind":"arxiv","version":2},"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/2503.03909/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":"2026-07-05T10:37:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOGq3OdyW+9cff5ndeqwirZUN5A2wbDIH8KaLrBR3RUpSYrW7zIsxu28K3Yavsn9my7C6Z4+lQDqkUfXPxu6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:21:58.041433Z"},"content_sha256":"5dd7b15d258012a84406bf98aa9399c406bd76b1e23d0ea483016f1a000ff98e","schema_version":"1.0","event_id":"sha256:5dd7b15d258012a84406bf98aa9399c406bd76b1e23d0ea483016f1a000ff98e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/bundle.json","state_url":"https://pith.science/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/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":"2026-08-09T15:21:58Z","links":{"resolver":"https://pith.science/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG","bundle":"https://pith.science/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/bundle.json","state":"https://pith.science/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YVHOM4OAKFZ3XOJGR7KRYBRFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7YVHOM4OAKFZ3XOJGR7KRYBRFG","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":"dbd7826178c828e2bfb286c6e79e6fac1aa227ed14974341b6169bc099f6ac42","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-03-05T21:17:52Z","title_canon_sha256":"0b516e4c6231103ac53c0a67478f1b3e719a85318c812f340e23d9b6a5a831c5"},"schema_version":"1.0","source":{"id":"2503.03909","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.03909","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"arxiv_version","alias_value":"2503.03909v2","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.03909","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_12","alias_value":"7YVHOM4OAKFZ","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_16","alias_value":"7YVHOM4OAKFZ3XOJ","created_at":"2026-07-05T10:37:46Z"},{"alias_kind":"pith_short_8","alias_value":"7YVHOM4O","created_at":"2026-07-05T10:37:46Z"}],"graph_snapshots":[{"event_id":"sha256:5dd7b15d258012a84406bf98aa9399c406bd76b1e23d0ea483016f1a000ff98e","target":"graph","created_at":"2026-07-05T10:37:46Z","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/2503.03909/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a new framework for computing low-rank solutions to nonlinear matrix equations arising from spatial discretization of nonlinear partial differential equations: low-rank Anderson acceleration (lrAA). lrAA is an adaptation of Anderson acceleration (AA), a well-known approach for solving nonlinear fixed point problems, to the low-rank format. In particular, lrAA carries out all linear and nonlinear operations in low-rank form with rank truncation using an adaptive truncation tolerance. We propose a simple scheduling strategy to update the truncation tolerance throughout the it","authors_text":"Daniel Appelo, Yingda Cheng","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-03-05T21:17:52Z","title":"lrAA: Low-Rank Anderson Acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.03909","kind":"arxiv","version":2},"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:f3966c03c19681c62d7f9bf537e4a0f089e69f6d48bef5ea646778efc3bbf68a","target":"record","created_at":"2026-07-05T10:37:46Z","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":"dbd7826178c828e2bfb286c6e79e6fac1aa227ed14974341b6169bc099f6ac42","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-03-05T21:17:52Z","title_canon_sha256":"0b516e4c6231103ac53c0a67478f1b3e719a85318c812f340e23d9b6a5a831c5"},"schema_version":"1.0","source":{"id":"2503.03909","kind":"arxiv","version":2}},"canonical_sha256":"fe2a77338e028b9dddc9347ea8e031299f81eed6df888480952c81561f5f9810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe2a77338e028b9dddc9347ea8e031299f81eed6df888480952c81561f5f9810","first_computed_at":"2026-07-05T10:37:46.256554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:37:46.256554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eAdLsxzXNfTuDYGE81LZsDOiP+7hFufvKC/ERnK55ZXMGX/roYfTKBBMDTYaU3pCkUtBRjqwHy7gsz/4hQT8Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:37:46.257462Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.03909","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3966c03c19681c62d7f9bf537e4a0f089e69f6d48bef5ea646778efc3bbf68a","sha256:5dd7b15d258012a84406bf98aa9399c406bd76b1e23d0ea483016f1a000ff98e"],"state_sha256":"fe25e829620c9e8062b1b6ce3e842c618ba5b3ef137947446ed2dfad18fa890c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poAqOhhw7Tp/dfnArZK1ia9CaiKlrjCKbYoOBvgSLtuzNzyVjJErLEqHdGTo6aaoFrUFsRM7xK56hhV7kzJvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T15:21:58.047667Z","bundle_sha256":"77685731664ba075573765b7922fbb78203dc11a35cc2ea575050ca27e057039"}}