{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NGLK72PYHTM2WN5KF2GSO6Z6QT","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":"94aca86b5fc69cea2f6cc663b2e459045741b089f9c7544d7ac582c4899bcfb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-01-17T21:33:16Z","title_canon_sha256":"9f98f1e58f1dea6c656e37ac0cd78d52ec09313642f1e20e7e8e345a7dc106c3"},"schema_version":"1.0","source":{"id":"1701.04876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04876","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04876v1","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04876","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"NGLK72PYHTM2","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NGLK72PYHTM2WN5K","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NGLK72PY","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:af9b136570329ac7b6720bc40f7c53e7fc1a0c1cd6f11d69b8124b8050b8425f","target":"graph","created_at":"2026-05-18T00:48:09Z","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":"Gas-solid multiphase flows are prone to develop an instability known as clustering. Two-fluid models, which treat the particulate phase as a continuum, are known to reproduce the qualitative features of this instability, producing highly-dynamic, spatiotemporal patterns. However, it is unknown whether such simulations are truly aperiodic or a type of complex periodic behavior. By showing that the system possesses a sensitive dependence on initial conditions and a positive largest Lyapunov exponent, $\\lambda_1 \\approx 1/\\tau$, we provide a tentative answer: continuum predictions of clustering a","authors_text":"Christine M. Hrenya, William D. Fullmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-01-17T21:33:16Z","title":"Are Continuum Predictions of Clustering Chaotic?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04876","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":"sha256:2a154997dd3d3ed0b56997d79933fdcc6fa801efb64c848a0bad399f05292609","target":"record","created_at":"2026-05-18T00:48:09Z","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":"94aca86b5fc69cea2f6cc663b2e459045741b089f9c7544d7ac582c4899bcfb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-01-17T21:33:16Z","title_canon_sha256":"9f98f1e58f1dea6c656e37ac0cd78d52ec09313642f1e20e7e8e345a7dc106c3"},"schema_version":"1.0","source":{"id":"1701.04876","kind":"arxiv","version":1}},"canonical_sha256":"6996afe9f83cd9ab37aa2e8d277b3e84e26917b2934dd6873508ae00d7db288a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6996afe9f83cd9ab37aa2e8d277b3e84e26917b2934dd6873508ae00d7db288a","first_computed_at":"2026-05-18T00:48:09.287407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:09.287407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PIzO9mRELjE7kzJGA+3JrMCifTmePlk1sfVZZtZOb+Afqww7FQC72OkUXPLeqozBQAog1ouIevbgXuvNiINsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:09.287849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a154997dd3d3ed0b56997d79933fdcc6fa801efb64c848a0bad399f05292609","sha256:af9b136570329ac7b6720bc40f7c53e7fc1a0c1cd6f11d69b8124b8050b8425f"],"state_sha256":"a7f4944378bbde9b404b24caa4ac6c24dd4de6ed75304102385dd10f541fdd0f"}