{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:F4VFWTMFGIBPK7KME7DNTMCRJF","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":"26f10b8bbbab52635cf98d7c552649f24433f842516289987dde9158860885e0","cross_cats_sorted":["cs.CE","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-11-10T10:13:51Z","title_canon_sha256":"b08be16a54178e0a20fb8621e1300122f2ed8737b6037510bd00d3d5e06b4c79"},"schema_version":"1.0","source":{"id":"2011.05016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.05016","created_at":"2026-07-05T01:50:42Z"},{"alias_kind":"arxiv_version","alias_value":"2011.05016v1","created_at":"2026-07-05T01:50:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.05016","created_at":"2026-07-05T01:50:42Z"},{"alias_kind":"pith_short_12","alias_value":"F4VFWTMFGIBP","created_at":"2026-07-05T01:50:42Z"},{"alias_kind":"pith_short_16","alias_value":"F4VFWTMFGIBPK7KM","created_at":"2026-07-05T01:50:42Z"},{"alias_kind":"pith_short_8","alias_value":"F4VFWTMF","created_at":"2026-07-05T01:50:42Z"}],"graph_snapshots":[{"event_id":"sha256:e69525479a4c994d3f3f72d7268acbcc04fd56e0b4ecab73e8de231857e30e65","target":"graph","created_at":"2026-07-05T01:50:42Z","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/2011.05016/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The proper orthogonal decomposition (POD) is a powerful classical tool in fluid mechanics used, for instance, for model reduction and extraction of coherent flow features. However, its applicability to high-resolution data, as produced by three-dimensional direct numerical simulations, is limited owing to its computational complexity. Here, we propose a wavelet-based adaptive version of the POD (the wPOD), in order to overcome this limitation. The amount of data to be analyzed is reduced by compressing them using biorthogonal wavelets, yielding a sparse representation while conveniently provid","authors_text":"Julius Reiss, Kai Schneider, Philipp Krah, Thomas Engels","cross_cats":["cs.CE","cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-11-10T10:13:51Z","title":"Wavelet Adaptive Proper Orthogonal Decomposition for Large Scale Flow Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.05016","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":"sha256:292d41320f4129fa865d50c1da2829e661b68ee76d2accabbff1589667a93e7d","target":"record","created_at":"2026-07-05T01:50:42Z","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":"26f10b8bbbab52635cf98d7c552649f24433f842516289987dde9158860885e0","cross_cats_sorted":["cs.CE","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-11-10T10:13:51Z","title_canon_sha256":"b08be16a54178e0a20fb8621e1300122f2ed8737b6037510bd00d3d5e06b4c79"},"schema_version":"1.0","source":{"id":"2011.05016","kind":"arxiv","version":1}},"canonical_sha256":"2f2a5b4d853202f57d4c27c6d9b051497da4be844549934ff9e042a79d39e025","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f2a5b4d853202f57d4c27c6d9b051497da4be844549934ff9e042a79d39e025","first_computed_at":"2026-07-05T01:50:42.879304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:50:42.879304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OSOEwygpDuSuM3jVoTVOGY51iJAZDGmD90KAPmgUxUbezIZzpnB7BVakTE1TBgc3IFUCESyN+ANXsy8VqbtZDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:50:42.879661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.05016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:292d41320f4129fa865d50c1da2829e661b68ee76d2accabbff1589667a93e7d","sha256:e69525479a4c994d3f3f72d7268acbcc04fd56e0b4ecab73e8de231857e30e65"],"state_sha256":"8daf6f319201adc846af4b5a195a1bb2dba29ee4f2235ff90457cc24bc46c4a3"}