{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2VUGMQVS4O6BYTR44XMPU5KEKA","short_pith_number":"pith:2VUGMQVS","canonical_record":{"source":{"id":"1709.04362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-11T19:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"9700203ce10d62634449133506da4459f4ac505e57a069db2b88d8bc48aad4cf","abstract_canon_sha256":"a2382c0403d667a31895f9301797eea628ddcc28a0748495f8abbd42191dc1dd"},"schema_version":"1.0"},"canonical_sha256":"d5686642b2e3bc1c4e3ce5d8fa7544502a16e1bf38ea701621aba5b320f9b01d","source":{"kind":"arxiv","id":"1709.04362","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04362","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04362v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04362","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"2VUGMQVS4O6B","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VUGMQVS4O6BYTR4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VUGMQVS","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2VUGMQVS4O6BYTR44XMPU5KEKA","target":"record","payload":{"canonical_record":{"source":{"id":"1709.04362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-11T19:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"9700203ce10d62634449133506da4459f4ac505e57a069db2b88d8bc48aad4cf","abstract_canon_sha256":"a2382c0403d667a31895f9301797eea628ddcc28a0748495f8abbd42191dc1dd"},"schema_version":"1.0"},"canonical_sha256":"d5686642b2e3bc1c4e3ce5d8fa7544502a16e1bf38ea701621aba5b320f9b01d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:14.597463Z","signature_b64":"Yul4yFovo9LTQgjUqBK/CBYe7v0Qbx2/ZYwI5PXjhvQe1lgyLjXn3ug/OkeKcLhjjpkw/lEoimFs9lTGLXthBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5686642b2e3bc1c4e3ce5d8fa7544502a16e1bf38ea701621aba5b320f9b01d","last_reissued_at":"2026-05-18T00:35:14.596775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:14.596775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.04362","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwNw48cpHyO3phRYoWoIBPiDD+19g1TIvYYfPivrCfW9NWHKOPLl+N0Zi+NX8K7kGYdFZjlbfp+uw8pPo1MwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:18:19.558571Z"},"content_sha256":"bc4d4e961977780e95357b78797b9811aa501c6d3a197ee00c903a275b3189f6","schema_version":"1.0","event_id":"sha256:bc4d4e961977780e95357b78797b9811aa501c6d3a197ee00c903a275b3189f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2VUGMQVS4O6BYTR44XMPU5KEKA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-Driven Filtered Reduced Order Modeling Of Fluid Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"L. G. Rebholz, M. Mohebujjaman, T. Iliescu, x. Xie","submitted_at":"2017-09-11T19:09:27Z","abstract_excerpt":"We propose a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows. The novel DDF-ROM framework consists of two steps: (i) In the first step, we use explicit ROM spatial filtering of the nonlinear PDE to construct a filtered ROM. This filtered ROM is low-dimensional, but is not closed (because of the nonlinearity in the given PDE). (ii) In the second step, we use data-driven modeling to close the filtered ROM, i.e., to model the interaction between the resolved and unresolved modes. To this end, we use a quadratic ansatz to model this interact"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04362","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIW5+K0JHOqLAJlHrNz43IapLpWMj6xzBSekJPZ1xLW2VkYYjHGdWh0ex+cQ4DtARfsSdzA/QWIZOn+xj0/DDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:18:19.558913Z"},"content_sha256":"e45933307a659ddd09985ca37b26378079873c36d73917f5c71574d897fe90ab","schema_version":"1.0","event_id":"sha256:e45933307a659ddd09985ca37b26378079873c36d73917f5c71574d897fe90ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/bundle.json","state_url":"https://pith.science/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T07:18:19Z","links":{"resolver":"https://pith.science/pith/2VUGMQVS4O6BYTR44XMPU5KEKA","bundle":"https://pith.science/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/bundle.json","state":"https://pith.science/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VUGMQVS4O6BYTR44XMPU5KEKA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2VUGMQVS4O6BYTR44XMPU5KEKA","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":"a2382c0403d667a31895f9301797eea628ddcc28a0748495f8abbd42191dc1dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-11T19:09:27Z","title_canon_sha256":"9700203ce10d62634449133506da4459f4ac505e57a069db2b88d8bc48aad4cf"},"schema_version":"1.0","source":{"id":"1709.04362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04362","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04362v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04362","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"2VUGMQVS4O6B","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VUGMQVS4O6BYTR4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VUGMQVS","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:e45933307a659ddd09985ca37b26378079873c36d73917f5c71574d897fe90ab","target":"graph","created_at":"2026-05-18T00:35:14Z","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"},"paper":{"abstract_excerpt":"We propose a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows. The novel DDF-ROM framework consists of two steps: (i) In the first step, we use explicit ROM spatial filtering of the nonlinear PDE to construct a filtered ROM. This filtered ROM is low-dimensional, but is not closed (because of the nonlinearity in the given PDE). (ii) In the second step, we use data-driven modeling to close the filtered ROM, i.e., to model the interaction between the resolved and unresolved modes. To this end, we use a quadratic ansatz to model this interact","authors_text":"L. G. Rebholz, M. Mohebujjaman, T. Iliescu, x. Xie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-11T19:09:27Z","title":"Data-Driven Filtered Reduced Order Modeling Of Fluid Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04362","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:bc4d4e961977780e95357b78797b9811aa501c6d3a197ee00c903a275b3189f6","target":"record","created_at":"2026-05-18T00:35:14Z","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":"a2382c0403d667a31895f9301797eea628ddcc28a0748495f8abbd42191dc1dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-11T19:09:27Z","title_canon_sha256":"9700203ce10d62634449133506da4459f4ac505e57a069db2b88d8bc48aad4cf"},"schema_version":"1.0","source":{"id":"1709.04362","kind":"arxiv","version":1}},"canonical_sha256":"d5686642b2e3bc1c4e3ce5d8fa7544502a16e1bf38ea701621aba5b320f9b01d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5686642b2e3bc1c4e3ce5d8fa7544502a16e1bf38ea701621aba5b320f9b01d","first_computed_at":"2026-05-18T00:35:14.596775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:14.596775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yul4yFovo9LTQgjUqBK/CBYe7v0Qbx2/ZYwI5PXjhvQe1lgyLjXn3ug/OkeKcLhjjpkw/lEoimFs9lTGLXthBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:14.597463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc4d4e961977780e95357b78797b9811aa501c6d3a197ee00c903a275b3189f6","sha256:e45933307a659ddd09985ca37b26378079873c36d73917f5c71574d897fe90ab"],"state_sha256":"5623e99d8d92555091144a0666cc5604aa9991593f73a1c099ccb9ec89185123"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMn5I3qNrTPhHE/qtlZj/FTh5laG0oIM3XIIlQUw2ZgWUdooX7g/T3VQ6RSCAL5x+CNHhXgTc3TWygC0goTGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:18:19.560794Z","bundle_sha256":"3c3b3438f8df476b5abb664aafddb1a08a3b7a63da4aab28055fd4b0aa1d0fe9"}}