{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PLPHLC3FV27E32BFKGY5ZUIB6T","short_pith_number":"pith:PLPHLC3F","canonical_record":{"source":{"id":"2208.00059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-07-29T20:12:02Z","cross_cats_sorted":[],"title_canon_sha256":"b069eb5037014b87a135af4b46143ea2073a624d8303a7f8d44fe7569f7494f7","abstract_canon_sha256":"d4be04303191b2440001a29cc079a2bc89b9af8cdfe379af34953e44e8e6bf18"},"schema_version":"1.0"},"canonical_sha256":"7ade758b65aebe4de82551b1dcd101f4e307ddeca289a64fa1997122b3abe948","source":{"kind":"arxiv","id":"2208.00059","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.00059","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"arxiv_version","alias_value":"2208.00059v2","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00059","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_12","alias_value":"PLPHLC3FV27E","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_16","alias_value":"PLPHLC3FV27E32BF","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_8","alias_value":"PLPHLC3F","created_at":"2026-07-05T06:16:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PLPHLC3FV27E32BFKGY5ZUIB6T","target":"record","payload":{"canonical_record":{"source":{"id":"2208.00059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-07-29T20:12:02Z","cross_cats_sorted":[],"title_canon_sha256":"b069eb5037014b87a135af4b46143ea2073a624d8303a7f8d44fe7569f7494f7","abstract_canon_sha256":"d4be04303191b2440001a29cc079a2bc89b9af8cdfe379af34953e44e8e6bf18"},"schema_version":"1.0"},"canonical_sha256":"7ade758b65aebe4de82551b1dcd101f4e307ddeca289a64fa1997122b3abe948","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:16:46.876282Z","signature_b64":"W4Sg8Dy+ImHDt1UIRkUVoGpa11L3pknMpQt8wX1RNcRM/59p8XUekhZ/IldmCvr8MuSgSCm/fjjs2CyRGyegCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ade758b65aebe4de82551b1dcd101f4e307ddeca289a64fa1997122b3abe948","last_reissued_at":"2026-07-05T06:16:46.875821Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:16:46.875821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.00059","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:16:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KycuoqHUzB3NYMJeei7Q/dVNrH41MNB6Tcu6s2YDNNHchWd/6ncHynKtyKdsXoIIIeI3+AR4nKtbzPaD+kKcBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:12:16.236488Z"},"content_sha256":"f3b56499b5b582fba825fda8f20475b9840090125d99109e4252070f14f94cde","schema_version":"1.0","event_id":"sha256:f3b56499b5b582fba825fda8f20475b9840090125d99109e4252070f14f94cde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PLPHLC3FV27E32BFKGY5ZUIB6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Birgul Koc, Samuele Rubino, Tom\\'as Cha\\'on Rebollo, Traian Iliescu","submitted_at":"2022-07-29T20:12:02Z","abstract_excerpt":"In this paper, we investigate the modeling of sub-scale components of proper orthogonal decomposition reduced order models (POD-ROMs) of convection-dominated flows. We propose ROM closure models that depend on the ROM residual. We illustrate the new residual-based data-driven ROM closure within the variational multiscale (VMS) framework and investigate it in the numerical simulation of a one-dimensional parameter-dependent convection-dominated convection-diffusion problem. For comparison purposes, we also investigate a streamline-upwind Petrov-Galerkin (SUPG) ROM stabilization strategy and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00059","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.00059/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:16:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4yLzl9PFNqnXo9OtwGti3ikDzg34d+QxHb9z5SRDIYINeB3eZgF5HFP2sSmSCssZWoGyxpr9bhnSHO+uFP+VAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:12:16.237063Z"},"content_sha256":"2c0108c7f7f26e0be4f9e196d1df4f3ceb802cb3eab988e805e4f372117ec336","schema_version":"1.0","event_id":"sha256:2c0108c7f7f26e0be4f9e196d1df4f3ceb802cb3eab988e805e4f372117ec336"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/bundle.json","state_url":"https://pith.science/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/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":"2026-08-14T09:12:16Z","links":{"resolver":"https://pith.science/pith/PLPHLC3FV27E32BFKGY5ZUIB6T","bundle":"https://pith.science/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/bundle.json","state":"https://pith.science/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PLPHLC3FV27E32BFKGY5ZUIB6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PLPHLC3FV27E32BFKGY5ZUIB6T","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":"d4be04303191b2440001a29cc079a2bc89b9af8cdfe379af34953e44e8e6bf18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-07-29T20:12:02Z","title_canon_sha256":"b069eb5037014b87a135af4b46143ea2073a624d8303a7f8d44fe7569f7494f7"},"schema_version":"1.0","source":{"id":"2208.00059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.00059","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"arxiv_version","alias_value":"2208.00059v2","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00059","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_12","alias_value":"PLPHLC3FV27E","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_16","alias_value":"PLPHLC3FV27E32BF","created_at":"2026-07-05T06:16:46Z"},{"alias_kind":"pith_short_8","alias_value":"PLPHLC3F","created_at":"2026-07-05T06:16:46Z"}],"graph_snapshots":[{"event_id":"sha256:2c0108c7f7f26e0be4f9e196d1df4f3ceb802cb3eab988e805e4f372117ec336","target":"graph","created_at":"2026-07-05T06:16:46Z","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/2208.00059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the modeling of sub-scale components of proper orthogonal decomposition reduced order models (POD-ROMs) of convection-dominated flows. We propose ROM closure models that depend on the ROM residual. We illustrate the new residual-based data-driven ROM closure within the variational multiscale (VMS) framework and investigate it in the numerical simulation of a one-dimensional parameter-dependent convection-dominated convection-diffusion problem. For comparison purposes, we also investigate a streamline-upwind Petrov-Galerkin (SUPG) ROM stabilization strategy and the","authors_text":"Birgul Koc, Samuele Rubino, Tom\\'as Cha\\'on Rebollo, Traian Iliescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-07-29T20:12:02Z","title":"Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00059","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:f3b56499b5b582fba825fda8f20475b9840090125d99109e4252070f14f94cde","target":"record","created_at":"2026-07-05T06:16:46Z","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":"d4be04303191b2440001a29cc079a2bc89b9af8cdfe379af34953e44e8e6bf18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-07-29T20:12:02Z","title_canon_sha256":"b069eb5037014b87a135af4b46143ea2073a624d8303a7f8d44fe7569f7494f7"},"schema_version":"1.0","source":{"id":"2208.00059","kind":"arxiv","version":2}},"canonical_sha256":"7ade758b65aebe4de82551b1dcd101f4e307ddeca289a64fa1997122b3abe948","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ade758b65aebe4de82551b1dcd101f4e307ddeca289a64fa1997122b3abe948","first_computed_at":"2026-07-05T06:16:46.875821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:16:46.875821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4Sg8Dy+ImHDt1UIRkUVoGpa11L3pknMpQt8wX1RNcRM/59p8XUekhZ/IldmCvr8MuSgSCm/fjjs2CyRGyegCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:16:46.876282Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.00059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b56499b5b582fba825fda8f20475b9840090125d99109e4252070f14f94cde","sha256:2c0108c7f7f26e0be4f9e196d1df4f3ceb802cb3eab988e805e4f372117ec336"],"state_sha256":"0892a16febed32d8402bf696fc7c810737f8971090b91355b510f888b9e6f3a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I/yuMittngGnkUe1w3lrcWegCnc3JIGUcbhMhB/stAHm3gFt4bykAG9YLi/cS0BiQR14FVhPV4ACW5kPaQnzAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T09:12:16.241228Z","bundle_sha256":"bfe0578eeeb4c46f93d2623615a3f0be21c14231efdd6c7eed0104b4391aa20e"}}