{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RTAGHVICBNVPEBJQUQHZH3CLLW","short_pith_number":"pith:RTAGHVIC","canonical_record":{"source":{"id":"1806.00350","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2018-05-30T21:28:56Z","cross_cats_sorted":[],"title_canon_sha256":"17741726e92fc178a53c683f7a882bbc7a00067f7b1ba833b59ca550edf25d71","abstract_canon_sha256":"84e2142966f7867246dbb4ef888228cd54081f39ffd644f1cba29e95e4ec99ad"},"schema_version":"1.0"},"canonical_sha256":"8cc063d5020b6af20530a40f93ec4b5d8250aa856fd32664765be90ebc7df69a","source":{"kind":"arxiv","id":"1806.00350","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00350","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00350v1","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00350","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"RTAGHVICBNVP","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RTAGHVICBNVPEBJQ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RTAGHVIC","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RTAGHVICBNVPEBJQUQHZH3CLLW","target":"record","payload":{"canonical_record":{"source":{"id":"1806.00350","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2018-05-30T21:28:56Z","cross_cats_sorted":[],"title_canon_sha256":"17741726e92fc178a53c683f7a882bbc7a00067f7b1ba833b59ca550edf25d71","abstract_canon_sha256":"84e2142966f7867246dbb4ef888228cd54081f39ffd644f1cba29e95e4ec99ad"},"schema_version":"1.0"},"canonical_sha256":"8cc063d5020b6af20530a40f93ec4b5d8250aa856fd32664765be90ebc7df69a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:41.233505Z","signature_b64":"2dl7TCFOJMT6xBX1QEiep25SPII8UN50BrxS2Qm/mObdDdXpqo2r5yxQkypyom3wS9TbYh6YE+ZDrrmajzNTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cc063d5020b6af20530a40f93ec4b5d8250aa856fd32664765be90ebc7df69a","last_reissued_at":"2026-05-17T23:57:41.232957Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:41.232957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.00350","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":"2026-05-17T23:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HeR5As9LdXkspHEr1xDlHsCExP4AcW38HfTjPCSYRbmmU21j47h70P5B5o0HowrOvU5Tf78VCxVjzERLcf1oDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:41:06.922525Z"},"content_sha256":"e89922e514335ef2bf2222e3886aa362000255d2cac179a0e501a0a6adbe4dfe","schema_version":"1.0","event_id":"sha256:e89922e514335ef2bf2222e3886aa362000255d2cac179a0e501a0a6adbe4dfe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RTAGHVICBNVPEBJQUQHZH3CLLW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physically-Constrained Data-Driven, Filtered Reduced Order Modeling of Fluid Flows","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"L. G. Rebholz, M. Mohebujjaman, T. Iliescu","submitted_at":"2018-05-30T21:28:56Z","abstract_excerpt":"In our earlier work, we proposed a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows, which can be formally written as \\begin{equation*}\n  \\boxed{\n  \\text{\n  DDF-ROM = Galerkin-ROM + Correction\n  }\n  } \\end{equation*} The new DDF-ROM was constructed by using ROM spatial filtering and data-driven ROM closure modeling (for the Correction term) and was successfully tested in the numerical simulation of a 2D channel flow past a circular cylinder at Reynolds numbers $Re=100, Re=500$ and $Re=1000$.\n  In this paper, we propose a {\\it physically-c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00350","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":"2026-05-17T23:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IC1oCiQ8b3Xs5ACK9g9H+LJD5LE/s5dhwikQx7iuqfzb6NjzvgR0XVfBLsgFoLHGzev/5OY1ewUGalruJECcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:41:06.922868Z"},"content_sha256":"afe654a965bb1f54de54f95658829adf5c8e3ff24a5df110e307e9ecf21aebbc","schema_version":"1.0","event_id":"sha256:afe654a965bb1f54de54f95658829adf5c8e3ff24a5df110e307e9ecf21aebbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/bundle.json","state_url":"https://pith.science/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/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":"2026-06-24T09:41:06Z","links":{"resolver":"https://pith.science/pith/RTAGHVICBNVPEBJQUQHZH3CLLW","bundle":"https://pith.science/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/bundle.json","state":"https://pith.science/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RTAGHVICBNVPEBJQUQHZH3CLLW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RTAGHVICBNVPEBJQUQHZH3CLLW","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":"84e2142966f7867246dbb4ef888228cd54081f39ffd644f1cba29e95e4ec99ad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2018-05-30T21:28:56Z","title_canon_sha256":"17741726e92fc178a53c683f7a882bbc7a00067f7b1ba833b59ca550edf25d71"},"schema_version":"1.0","source":{"id":"1806.00350","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00350","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00350v1","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00350","created_at":"2026-05-17T23:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"RTAGHVICBNVP","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RTAGHVICBNVPEBJQ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RTAGHVIC","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:afe654a965bb1f54de54f95658829adf5c8e3ff24a5df110e307e9ecf21aebbc","target":"graph","created_at":"2026-05-17T23:57:41Z","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":"In our earlier work, we proposed a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows, which can be formally written as \\begin{equation*}\n  \\boxed{\n  \\text{\n  DDF-ROM = Galerkin-ROM + Correction\n  }\n  } \\end{equation*} The new DDF-ROM was constructed by using ROM spatial filtering and data-driven ROM closure modeling (for the Correction term) and was successfully tested in the numerical simulation of a 2D channel flow past a circular cylinder at Reynolds numbers $Re=100, Re=500$ and $Re=1000$.\n  In this paper, we propose a {\\it physically-c","authors_text":"L. G. Rebholz, M. Mohebujjaman, T. Iliescu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2018-05-30T21:28:56Z","title":"Physically-Constrained Data-Driven, Filtered Reduced Order Modeling of Fluid Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00350","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:e89922e514335ef2bf2222e3886aa362000255d2cac179a0e501a0a6adbe4dfe","target":"record","created_at":"2026-05-17T23:57:41Z","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":"84e2142966f7867246dbb4ef888228cd54081f39ffd644f1cba29e95e4ec99ad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2018-05-30T21:28:56Z","title_canon_sha256":"17741726e92fc178a53c683f7a882bbc7a00067f7b1ba833b59ca550edf25d71"},"schema_version":"1.0","source":{"id":"1806.00350","kind":"arxiv","version":1}},"canonical_sha256":"8cc063d5020b6af20530a40f93ec4b5d8250aa856fd32664765be90ebc7df69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cc063d5020b6af20530a40f93ec4b5d8250aa856fd32664765be90ebc7df69a","first_computed_at":"2026-05-17T23:57:41.232957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:41.232957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2dl7TCFOJMT6xBX1QEiep25SPII8UN50BrxS2Qm/mObdDdXpqo2r5yxQkypyom3wS9TbYh6YE+ZDrrmajzNTDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:41.233505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00350","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e89922e514335ef2bf2222e3886aa362000255d2cac179a0e501a0a6adbe4dfe","sha256:afe654a965bb1f54de54f95658829adf5c8e3ff24a5df110e307e9ecf21aebbc"],"state_sha256":"78344eba5c3c36ff0898edd070abbe95200ec84f3727fb258fada0eecf620e59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VxjStxiV3TIbDITY9bv32pBoOWK9QUtAHZa9SbNFtXx2QVlrWWzrvox+ZUb2uVcNrauRMFzYONtIkVgPw4nnBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:41:06.924758Z","bundle_sha256":"98d9f1430bd84508035305c2d11a79f7ed5c04d4f00626db603aed8f777f5fae"}}