{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WBWAMMHGJGDSA55W32E5UOEKLE","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":"5c6bd4da345195f54496271095a69404e8e6f52bac74208ecdb91c8f437a8119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-14T21:51:22Z","title_canon_sha256":"23912fd65989eaa0755b7ebe141357694f5bfbe87648f4f2a8d480e12d85d376"},"schema_version":"1.0","source":{"id":"1610.04655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04655","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04655v1","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04655","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"WBWAMMHGJGDS","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WBWAMMHGJGDSA55W","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WBWAMMHG","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:e6f80df6bee63646e79248d40bff9fc28b9b519ef663550ab8ea8f96970eedf3","target":"graph","created_at":"2026-05-18T00:46:39Z","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":"A Lagrangian particle cloud model is proposed that accounts for the effects of Reynolds-averaged particle and turbulent stresses and the averaged carrier-phase velocity of the sub-particle-cloud scale on the averaged motion and velocity of the cloud. The SPARSE (Subgrid Particle Average Reynolds Stress Equivalent) model is based on a combination of a truncated Taylor expansion of a drag correction function and Reynolds averaging. It reduces the required number of computational parcels to trace a cloud of particles in Eulerian-Lagrangian methods for the simulation of particle-laden flow. Closur","authors_text":"Gustaaf Jacobs, H.S. Udaykumar, Oishik Sen, Sean Davis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-14T21:51:22Z","title":"SPARSE: A Subgrid Particle Averaged Reynolds Stress Equivalent Model: Testing with A Priori Closure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04655","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:d1080b578944b5e4de6bec715e9f9f8ac368fdfb4eebee222ae629748d9693b3","target":"record","created_at":"2026-05-18T00:46:39Z","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":"5c6bd4da345195f54496271095a69404e8e6f52bac74208ecdb91c8f437a8119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-14T21:51:22Z","title_canon_sha256":"23912fd65989eaa0755b7ebe141357694f5bfbe87648f4f2a8d480e12d85d376"},"schema_version":"1.0","source":{"id":"1610.04655","kind":"arxiv","version":1}},"canonical_sha256":"b06c0630e649872077b6de89da388a59270945aeeb070ed5e79100804e483706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b06c0630e649872077b6de89da388a59270945aeeb070ed5e79100804e483706","first_computed_at":"2026-05-18T00:46:39.462174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:39.462174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xnsF2DkqpFYkOI4xnvF0RlgEKRUydpLeEX/rh8CXG4OG/8NKzvdxsDKI/AG3Sr3xlzv0G44+F8Jnt8ZmILadAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:39.462973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1080b578944b5e4de6bec715e9f9f8ac368fdfb4eebee222ae629748d9693b3","sha256:e6f80df6bee63646e79248d40bff9fc28b9b519ef663550ab8ea8f96970eedf3"],"state_sha256":"f76a6d801a28ba94b751a8cc67decef94711ec72739b7002b52f9a36bb332a2f"}