{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6ESXA7GPWZFJ7EEG37MZN7QITH","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":"ebc083335807f971ae5d3b5c71608d173cc7db7930c1d67a099c50729913e4e8","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-27T13:10:07Z","title_canon_sha256":"8b48ef5d4d4b5177346c1ce18be763e90298547c5e7c634165938d13d735f8b3"},"schema_version":"1.0","source":{"id":"1408.6400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6400","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6400v2","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6400","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"6ESXA7GPWZFJ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ESXA7GPWZFJ7EEG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ESXA7GP","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:a6006a2a40d9d14081970fca3619e31ceb9ac4a6b86d8ea2746d5611c0ff2bd6","target":"graph","created_at":"2026-05-18T02:41:25Z","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 recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a small mean free path. The equilibrium distributions are typically heavy-tailed distributions, but also classical Gaussian equilibrium distributions allow for this phenomena if combined with a degenerate collision frequency for small velocities. This work aims to an extension in the sense that a linear BGK-type equation conserving not only mass, but also momentum and energy, for both mentioned regimes of equilibrium d","authors_text":"Sabine Hittmeir, Sara Merino-Aceituno","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-27T13:10:07Z","title":"Kinetic derivation of fractional Stokes and Stokes-Fourier systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6400","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":"sha256:0776cd63a94f5baba6bc6fda1129498d28d5f3f7b70e2f981afb10461d9ad7f1","target":"record","created_at":"2026-05-18T02:41:25Z","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":"ebc083335807f971ae5d3b5c71608d173cc7db7930c1d67a099c50729913e4e8","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-08-27T13:10:07Z","title_canon_sha256":"8b48ef5d4d4b5177346c1ce18be763e90298547c5e7c634165938d13d735f8b3"},"schema_version":"1.0","source":{"id":"1408.6400","kind":"arxiv","version":2}},"canonical_sha256":"f125707ccfb64a9f9086dfd996fe0899e9d391a7dc3805668fd9a50cfb6fdc54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f125707ccfb64a9f9086dfd996fe0899e9d391a7dc3805668fd9a50cfb6fdc54","first_computed_at":"2026-05-18T02:41:25.801940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:25.801940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WA2TwNUbXepokwgpBv4FELH+lFFzYatY0lZcmrbvEiYT3atIB62U6ed2deKGc8aCc3vacmNUWaQe5rN6umQ1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:25.802413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0776cd63a94f5baba6bc6fda1129498d28d5f3f7b70e2f981afb10461d9ad7f1","sha256:a6006a2a40d9d14081970fca3619e31ceb9ac4a6b86d8ea2746d5611c0ff2bd6"],"state_sha256":"6e0dca9c5876095ed11067116f3a70cb1340b1b01408e6fd9685d65b0526dbb9"}