{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6PE5W7HSWJVNW54V5K5YNX7SYA","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":"366c8833efed07e69935622470bb5ae58c5217d79e4711f977b65918cf70e474","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-14T16:50:13Z","title_canon_sha256":"64eec38fa5b537d42b0a08afc67d848534269c8050f25eb3c8dfaacc2c9a652f"},"schema_version":"1.0","source":{"id":"2601.09623","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.09623","created_at":"2026-06-10T01:09:52Z"},{"alias_kind":"arxiv_version","alias_value":"2601.09623v2","created_at":"2026-06-10T01:09:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.09623","created_at":"2026-06-10T01:09:52Z"},{"alias_kind":"pith_short_12","alias_value":"6PE5W7HSWJVN","created_at":"2026-06-10T01:09:52Z"},{"alias_kind":"pith_short_16","alias_value":"6PE5W7HSWJVNW54V","created_at":"2026-06-10T01:09:52Z"},{"alias_kind":"pith_short_8","alias_value":"6PE5W7HS","created_at":"2026-06-10T01:09:52Z"}],"graph_snapshots":[{"event_id":"sha256:a5ddfcd2a0d78fc592a5c687136c287bb3a829f492e754b78849a6a81cc7b4e0","target":"graph","created_at":"2026-06-10T01:09:52Z","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/2601.09623/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Reduced Order Models (ROMs) have been regarded as an efficient alternative to conventional high-fidelity Computational Fluid Dynamics (CFD) for accelerating the design and optimization processes in engineering applications. Many industrial geometries feature repeating subdomains or contain sub-regions governed by distinct physical phenomena, making them well-suited to Domain Decomposition (DD) techniques. The integration of ROM and DD is promising to further reduce computational costs by constructing local ROMs and assembling them into global solutions. Due to the complexity and necessity of c","authors_text":"Andreas G. Class, Gianluigi Rozza, Shenhui Ruan","cross_cats":["cs.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-14T16:50:13Z","title":"A Structured Review of Reduced Order Modeling for Domain Decomposition Problems: State of the Art and Perspectives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.09623","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":"sha256:415ef3078736ccc9dd9a73075c117717b0d46a057eaa29525681bd098eaf3f12","target":"record","created_at":"2026-06-10T01:09:52Z","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":"366c8833efed07e69935622470bb5ae58c5217d79e4711f977b65918cf70e474","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-14T16:50:13Z","title_canon_sha256":"64eec38fa5b537d42b0a08afc67d848534269c8050f25eb3c8dfaacc2c9a652f"},"schema_version":"1.0","source":{"id":"2601.09623","kind":"arxiv","version":2}},"canonical_sha256":"f3c9db7cf2b26adb7795eabb86dff2c02d616a357b997337208dcd777ab73c61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3c9db7cf2b26adb7795eabb86dff2c02d616a357b997337208dcd777ab73c61","first_computed_at":"2026-06-10T01:09:52.566755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:09:52.566755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLg3p0Wsu/ePtGKWWjoP2A8Jd5u3c9606abbQ32fcqYjV4dtIwS8bqjUr7BhLIG10fkDvQtWaTgAm07kQjdyDQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:09:52.567544Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.09623","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:415ef3078736ccc9dd9a73075c117717b0d46a057eaa29525681bd098eaf3f12","sha256:a5ddfcd2a0d78fc592a5c687136c287bb3a829f492e754b78849a6a81cc7b4e0"],"state_sha256":"ce5e8e856ca18bc53e425ef71ea263a6925b064792da8311b734074823679db0"}