{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FAJXEK6EJQ4IOY4K4MGWOBS6Z2","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":"f841b4146a0a1980aba2bf16e1da26a9668fc90f95fe223ff727e130dcd46e2a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2025-01-15T11:21:23Z","title_canon_sha256":"85858e6388c670f46b42fa8176e9ee7da85a03a05fa12eed601e132152ade0b8"},"schema_version":"1.0","source":{"id":"2501.08733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08733","created_at":"2026-07-05T10:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08733v1","created_at":"2026-07-05T10:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08733","created_at":"2026-07-05T10:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"FAJXEK6EJQ4I","created_at":"2026-07-05T10:01:25Z"},{"alias_kind":"pith_short_16","alias_value":"FAJXEK6EJQ4IOY4K","created_at":"2026-07-05T10:01:25Z"},{"alias_kind":"pith_short_8","alias_value":"FAJXEK6E","created_at":"2026-07-05T10:01:25Z"}],"graph_snapshots":[{"event_id":"sha256:d5c98ce3228051af105450d660c6cc8f0f654f76ae20852539704f792cedeb79","target":"graph","created_at":"2026-07-05T10:01:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.08733/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the Knudsen layer equation in half-space, arising from the hydrodynamic limit of the Boltzmann equation to fluid dynamics. We consider the Maxwell reflection boundary condition with accommodation coefficient $0<\\alpha<1$. We restrict our attention to hard sphere collisions with angular cutoff, proving the existence, uniqueness, and asymptotic behavior of the solution in $L^{\\infty}_{x,v}$. Additionally, we demonstrate the application of our theorem to the hydrodynamic limit through a specific example. In this expample, we derive the boundary conditions of the fluid equa","authors_text":"Ling-Bing He, Ning Jiang, Yulong Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2025-01-15T11:21:23Z","title":"Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08733","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":"sha256:7aaa8e28c9da819f80e60acc85a0a8f4c84d98a8d68caaef8f56cdd1adc39b26","target":"record","created_at":"2026-07-05T10:01:25Z","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":"f841b4146a0a1980aba2bf16e1da26a9668fc90f95fe223ff727e130dcd46e2a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2025-01-15T11:21:23Z","title_canon_sha256":"85858e6388c670f46b42fa8176e9ee7da85a03a05fa12eed601e132152ade0b8"},"schema_version":"1.0","source":{"id":"2501.08733","kind":"arxiv","version":1}},"canonical_sha256":"2813722bc44c3887638ae30d67065ecea7214750c946e2d9b9a5996fde51e90c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2813722bc44c3887638ae30d67065ecea7214750c946e2d9b9a5996fde51e90c","first_computed_at":"2026-07-05T10:01:25.289913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:25.289913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aIFJE9Y4ITPAkx/HUJbrO4r4BExaU5czFp4GP0/5vRqq0fBCUTOqEd33v3UaKIrNkmHJX6WgkbeNAyuEAGFlDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:25.290385Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.08733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7aaa8e28c9da819f80e60acc85a0a8f4c84d98a8d68caaef8f56cdd1adc39b26","sha256:d5c98ce3228051af105450d660c6cc8f0f654f76ae20852539704f792cedeb79"],"state_sha256":"4c18f322681755e48a7ffba138c4c2a74584682e8fcc4c63c4630c09d4c437ef"}