{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OSCZP2DBBNGPW6HL5OOKRGH4HY","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":"cb0fe0df6cec81d614114dfd919ab5e73525514a7a204ad75fe912cd1ae86e3c","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-20T09:14:24Z","title_canon_sha256":"f4d4cc2660c29197c4d24c328f9a1385a4a2f5e0a0c5105006d196c331946c8d"},"schema_version":"1.0","source":{"id":"2607.17723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17723","created_at":"2026-07-21T02:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17723v1","created_at":"2026-07-21T02:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17723","created_at":"2026-07-21T02:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"OSCZP2DBBNGP","created_at":"2026-07-21T02:21:56Z"},{"alias_kind":"pith_short_16","alias_value":"OSCZP2DBBNGPW6HL","created_at":"2026-07-21T02:21:56Z"},{"alias_kind":"pith_short_8","alias_value":"OSCZP2DB","created_at":"2026-07-21T02:21:56Z"}],"graph_snapshots":[{"event_id":"sha256:aa3f54aef00a127aa1fbdb682d2dafd2aa07c9a1d6434a3e6aa858d6a0869dbf","target":"graph","created_at":"2026-07-21T02:21:56Z","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/2607.17723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonlinearly preconditioned inexact Newton methods form an effective class of solvers for large-scale nonlinear algebraic systems arising from the discretization of partial differential equations. A central challenge in nonlinear elimination (NE) preconditioning is the reliable identification of the slowly converging components to be eliminated. Existing selection strategies often rely on problem-specific physical information or user-tuned thresholds applied directly to the raw nonlinear residual, which may contain irregular oscillatory structures near stagnation regions, making the selected ba","authors_text":"Li Luo, Linyan Gu, Pai Zhang","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-20T09:14:24Z","title":"A domain decomposition online-learning-enhanced nonlinear elimination preconditioner"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17723","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:efc61673721f95aad72ee509a48496a8d15d620225be22b3a473568e86a1e6bf","target":"record","created_at":"2026-07-21T02:21:56Z","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":"cb0fe0df6cec81d614114dfd919ab5e73525514a7a204ad75fe912cd1ae86e3c","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-20T09:14:24Z","title_canon_sha256":"f4d4cc2660c29197c4d24c328f9a1385a4a2f5e0a0c5105006d196c331946c8d"},"schema_version":"1.0","source":{"id":"2607.17723","kind":"arxiv","version":1}},"canonical_sha256":"748597e8610b4cfb78ebeb9ca898fc3e2b7663863ffc0acf3048ab7381b283d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"748597e8610b4cfb78ebeb9ca898fc3e2b7663863ffc0acf3048ab7381b283d1","first_computed_at":"2026-07-21T02:21:56.518787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T02:21:56.518787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLDA3YmtB0BjD9lHRhUx7xA+fWwXGmds6mGcrv+8j6DrO4Vq5cZ3fcq72CUzTgfHu5Vudn2eXc8k1anAh+jQAg==","signature_status":"signed_v1","signed_at":"2026-07-21T02:21:56.519808Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efc61673721f95aad72ee509a48496a8d15d620225be22b3a473568e86a1e6bf","sha256:aa3f54aef00a127aa1fbdb682d2dafd2aa07c9a1d6434a3e6aa858d6a0869dbf"],"state_sha256":"12e3878c44a954a727bb07f66a2b065f06b8fbef442a545523d5994c2a52dd1c"}