{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NH6LGAL2QOO35EHQQ47JRRE6AB","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":"6b80ca7eb0b81fad29708b01985bb5c59a61c54a1655fb444a576c952586f6a1","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-26T18:56:45Z","title_canon_sha256":"f42f269febb2e58673be2f20b75bce48d1e8b3efb8b6ece0d5b4c320345e6cb5"},"schema_version":"1.0","source":{"id":"2509.22846","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.22846","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"2509.22846v3","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.22846","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"NH6LGAL2QOO3","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_16","alias_value":"NH6LGAL2QOO35EHQ","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_8","alias_value":"NH6LGAL2","created_at":"2026-06-19T16:10:53Z"}],"graph_snapshots":[{"event_id":"sha256:4f97041f803f8c4a3e0b98df2b011f1bbe32c0ec1731da9cd14323690ffa782f","target":"graph","created_at":"2026-06-19T16:10:53Z","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/2509.22846/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Whether it is for solving nonlinear equations, optimization problems, or autonomous dynamical systems, fixed-point-type iterations are widely used in numerical sciences. On-the-fly reduced-order modelling (ROM) enables the construction of a low-dimensional, self-correcting approximation of the solution to this system during the iterative process, while removing the need to do an offline training phase and any dependence on a precomputed reduced basis (e.g., a fixed geometry or mesh). This technique has been used in specific fields before, including fluid-structure interactions and topology opt","authors_text":"Jean Deteix, Philippe-Andr\\'e Luneau","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-26T18:56:45Z","title":"General Framework and Error Estimates for ROM-accelerated Fixed Point Iterations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.22846","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":"sha256:604515aefcf8425b3fbd207622ab4dacce6d8bbe7f52782b09ec94f8b298aa4d","target":"record","created_at":"2026-06-19T16:10:53Z","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":"6b80ca7eb0b81fad29708b01985bb5c59a61c54a1655fb444a576c952586f6a1","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-09-26T18:56:45Z","title_canon_sha256":"f42f269febb2e58673be2f20b75bce48d1e8b3efb8b6ece0d5b4c320345e6cb5"},"schema_version":"1.0","source":{"id":"2509.22846","kind":"arxiv","version":3}},"canonical_sha256":"69fcb3017a839dbe90f0873e98c49e005b45d2737f67e4b9db6d4b16897dac65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69fcb3017a839dbe90f0873e98c49e005b45d2737f67e4b9db6d4b16897dac65","first_computed_at":"2026-06-19T16:10:53.968653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:53.968653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JtF2X8QNswfFBiBrciyZVjRjJ5aP43G4SWSPmPDr5tPme7p3icexEBKE77H8if5M3fEk9oLjvRa1Ie1FcOxfCA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:53.969134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.22846","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:604515aefcf8425b3fbd207622ab4dacce6d8bbe7f52782b09ec94f8b298aa4d","sha256:4f97041f803f8c4a3e0b98df2b011f1bbe32c0ec1731da9cd14323690ffa782f"],"state_sha256":"0f1e50ae2343fa022591690944992ad4bf1463e938561b8e8727dc3e31969c46"}