{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3BGOA3ZK3NMVLNVADL7P3WRXRV","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":"7cfaa6e18dc51c56af03a6b0ad2196c34b80961af99ec5d727d5b10acd4e0e6f","cross_cats_sorted":["cs.LG","cs.NA","math.DS","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-26T23:10:05Z","title_canon_sha256":"29c2c905444417c332d17e7434e863cc7450febef88ff13dfd7571d007704e4f"},"schema_version":"1.0","source":{"id":"2605.27756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27756","created_at":"2026-05-28T01:04:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27756v1","created_at":"2026-05-28T01:04:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27756","created_at":"2026-05-28T01:04:48Z"},{"alias_kind":"pith_short_12","alias_value":"3BGOA3ZK3NMV","created_at":"2026-05-28T01:04:48Z"},{"alias_kind":"pith_short_16","alias_value":"3BGOA3ZK3NMVLNVA","created_at":"2026-05-28T01:04:48Z"},{"alias_kind":"pith_short_8","alias_value":"3BGOA3ZK","created_at":"2026-05-28T01:04:48Z"}],"graph_snapshots":[{"event_id":"sha256:577d0222807189e91ee49189f65f3dbd66ccbfd81d46a9789e5e54fb852b3651","target":"graph","created_at":"2026-05-28T01:04:48Z","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/2605.27756/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High-performance computing enables simulation of high-dimensional physical systems, but downstream analyses such as inverse problems and control remain computationally expensive, motivating model order reduction (MOR) to construct efficient low-dimensional surrogates. Proper Orthogonal Decomposition (POD), a widely adopted data-driven MOR method, projects dynamics onto linear subspaces spanned by the most energetic modes. However, POD struggles for problems with slowly decaying Kolmogorov \\(n\\)-widths, such as advection-dominated and turbulent flows, requiring many modes for accurate reconstru","authors_text":"Elizabeth Qian, Julie Bessac, Marc T. Henry de Frahan, Prakash Mohan, Tomoki Koike","cross_cats":["cs.LG","cs.NA","math.DS","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-26T23:10:05Z","title":"Sparse POD Mode Selection and Manifold Dimensionality Reduction with Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27756","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:a01cf5d87bc02cf09696dc742a33cbbc564417c95558a3e2f2904f2dd2b3ccc7","target":"record","created_at":"2026-05-28T01:04:48Z","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":"7cfaa6e18dc51c56af03a6b0ad2196c34b80961af99ec5d727d5b10acd4e0e6f","cross_cats_sorted":["cs.LG","cs.NA","math.DS","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-26T23:10:05Z","title_canon_sha256":"29c2c905444417c332d17e7434e863cc7450febef88ff13dfd7571d007704e4f"},"schema_version":"1.0","source":{"id":"2605.27756","kind":"arxiv","version":1}},"canonical_sha256":"d84ce06f2adb5955b6a01afefdda378d64cf67239746760b2b450bd0c502219f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d84ce06f2adb5955b6a01afefdda378d64cf67239746760b2b450bd0c502219f","first_computed_at":"2026-05-28T01:04:48.041229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:48.041229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"75HEo/yE8DxKRt1i41vIiHTpiSTorfnQFyKA5HEU7W/4WRDF9rhiR6jQFuFLLcsyysIhRfBfrfmF+UECCTWyAw==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:48.041649Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.27756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a01cf5d87bc02cf09696dc742a33cbbc564417c95558a3e2f2904f2dd2b3ccc7","sha256:577d0222807189e91ee49189f65f3dbd66ccbfd81d46a9789e5e54fb852b3651"],"state_sha256":"8a14967baa4098a299efdb4414562ec2e1b8f4e9b1407bf68ee4680835b7d5a2"}