{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2SPJHXDFDO6C2U4JL4MLGB2QA5","short_pith_number":"pith:2SPJHXDF","canonical_record":{"source":{"id":"2405.17612","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-27T19:20:22Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"31289f56f961ed3c6a4e5e881b2dd8f899ec1afe7b0f3ee6f9dffcce5f56109e","abstract_canon_sha256":"953af74976be042f128b59bba6738beb3d9c0da70b7feb217e22ba9d25e30651"},"schema_version":"1.0"},"canonical_sha256":"d49e93dc651bbc2d53895f18b307500755ec9aaa9eed81863895c2426a9376dc","source":{"kind":"arxiv","id":"2405.17612","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.17612","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"2405.17612v2","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.17612","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"2SPJHXDFDO6C","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_16","alias_value":"2SPJHXDFDO6C2U4J","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_8","alias_value":"2SPJHXDF","created_at":"2026-07-05T08:25:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2SPJHXDFDO6C2U4JL4MLGB2QA5","target":"record","payload":{"canonical_record":{"source":{"id":"2405.17612","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-27T19:20:22Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"31289f56f961ed3c6a4e5e881b2dd8f899ec1afe7b0f3ee6f9dffcce5f56109e","abstract_canon_sha256":"953af74976be042f128b59bba6738beb3d9c0da70b7feb217e22ba9d25e30651"},"schema_version":"1.0"},"canonical_sha256":"d49e93dc651bbc2d53895f18b307500755ec9aaa9eed81863895c2426a9376dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:25:05.531578Z","signature_b64":"yT28W94Bz2/5AaG4u6dPeYcPV7xH3TW2JCD2bTMgAfdPqdH978n+HJtEQ6uODTYg0+6yylm2WsYb+A1O1+FICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d49e93dc651bbc2d53895f18b307500755ec9aaa9eed81863895c2426a9376dc","last_reissued_at":"2026-07-05T08:25:05.530905Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:25:05.530905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.17612","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":"2026-07-05T08:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUcJjVoTfJvSKgyk815Q6viFNZWiabOLhfsdO4/OtgramQ9XQeztTQzzSpMQeYxz5elWKW+m1ehwWcc58saqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:23:08.346026Z"},"content_sha256":"1ae9f9772eed3a4f41038e69bd70e53cb30abd7508b69a43f03e17fca6598a58","schema_version":"1.0","event_id":"sha256:1ae9f9772eed3a4f41038e69bd70e53cb30abd7508b69a43f03e17fca6598a58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2SPJHXDFDO6C2U4JL4MLGB2QA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on the error analysis of data-driven closure models for large eddy simulations of turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Dibyajyoti Chakraborty, Hong Zhang, Romit Maulik, Shivam Barwey","submitted_at":"2024-05-27T19:20:22Z","abstract_excerpt":"In this work, we provide a mathematical formulation for error propagation in flow trajectory prediction using data-driven turbulence closure modeling. Under the assumption that the predicted state of a large eddy simulation prediction must be close to that of a subsampled direct numerical simulation, we retrieve an upper bound for the prediction error when utilizing a data-driven closure model. We also demonstrate that this error is significantly affected by the time step size and the Jacobian which play a role in amplifying the initial one-step error made by using the closure. Our analysis al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.17612","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/2405.17612/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":"2026-07-05T08:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYTFvH1/m2CLIrDhZviWbP8cf55xJU4S6zEWzTQrDxhkOVRgRwWA/6OZpdkc4gOnU5qcHk+A6CIK+b9Xvv1sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:23:08.346516Z"},"content_sha256":"f280cc4235d49570db8ecd41954add013898cab42ec21aed1c09d0a31ff2f0e9","schema_version":"1.0","event_id":"sha256:f280cc4235d49570db8ecd41954add013898cab42ec21aed1c09d0a31ff2f0e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/bundle.json","state_url":"https://pith.science/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/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":"2026-08-06T06:23:08Z","links":{"resolver":"https://pith.science/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5","bundle":"https://pith.science/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/bundle.json","state":"https://pith.science/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2SPJHXDFDO6C2U4JL4MLGB2QA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2SPJHXDFDO6C2U4JL4MLGB2QA5","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":"953af74976be042f128b59bba6738beb3d9c0da70b7feb217e22ba9d25e30651","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-27T19:20:22Z","title_canon_sha256":"31289f56f961ed3c6a4e5e881b2dd8f899ec1afe7b0f3ee6f9dffcce5f56109e"},"schema_version":"1.0","source":{"id":"2405.17612","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.17612","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"2405.17612v2","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.17612","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"2SPJHXDFDO6C","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_16","alias_value":"2SPJHXDFDO6C2U4J","created_at":"2026-07-05T08:25:05Z"},{"alias_kind":"pith_short_8","alias_value":"2SPJHXDF","created_at":"2026-07-05T08:25:05Z"}],"graph_snapshots":[{"event_id":"sha256:f280cc4235d49570db8ecd41954add013898cab42ec21aed1c09d0a31ff2f0e9","target":"graph","created_at":"2026-07-05T08:25:05Z","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/2405.17612/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we provide a mathematical formulation for error propagation in flow trajectory prediction using data-driven turbulence closure modeling. Under the assumption that the predicted state of a large eddy simulation prediction must be close to that of a subsampled direct numerical simulation, we retrieve an upper bound for the prediction error when utilizing a data-driven closure model. We also demonstrate that this error is significantly affected by the time step size and the Jacobian which play a role in amplifying the initial one-step error made by using the closure. Our analysis al","authors_text":"Dibyajyoti Chakraborty, Hong Zhang, Romit Maulik, Shivam Barwey","cross_cats":["cs.LG","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-27T19:20:22Z","title":"A note on the error analysis of data-driven closure models for large eddy simulations of turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.17612","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":"sha256:1ae9f9772eed3a4f41038e69bd70e53cb30abd7508b69a43f03e17fca6598a58","target":"record","created_at":"2026-07-05T08:25:05Z","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":"953af74976be042f128b59bba6738beb3d9c0da70b7feb217e22ba9d25e30651","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-27T19:20:22Z","title_canon_sha256":"31289f56f961ed3c6a4e5e881b2dd8f899ec1afe7b0f3ee6f9dffcce5f56109e"},"schema_version":"1.0","source":{"id":"2405.17612","kind":"arxiv","version":2}},"canonical_sha256":"d49e93dc651bbc2d53895f18b307500755ec9aaa9eed81863895c2426a9376dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d49e93dc651bbc2d53895f18b307500755ec9aaa9eed81863895c2426a9376dc","first_computed_at":"2026-07-05T08:25:05.530905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:25:05.530905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yT28W94Bz2/5AaG4u6dPeYcPV7xH3TW2JCD2bTMgAfdPqdH978n+HJtEQ6uODTYg0+6yylm2WsYb+A1O1+FICA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:25:05.531578Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.17612","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ae9f9772eed3a4f41038e69bd70e53cb30abd7508b69a43f03e17fca6598a58","sha256:f280cc4235d49570db8ecd41954add013898cab42ec21aed1c09d0a31ff2f0e9"],"state_sha256":"2609b1d769b4bcd18ba8500b3ae6b9767e36f1d2b39d5ad1308b8935645b3137"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oZhaQdkELeY1OnQMiLqMCcEWpdNwDGlXQRind8jDE+OVTvro0OP5/ysl9/66RSZ+7g+m8NM4joAdS9ArIRxeBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:23:08.349859Z","bundle_sha256":"63256f745b3cb66553a3ba115c163ce2dfdb514c6692215645db8bce2540b187"}}