{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:A6G5XPUJX7GMZ2RYTQF6VKUTPL","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":"d19c8080a87b5c324004c856074015ecd561e79400f722db8be98c0936673683","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-04-24T14:36:21Z","title_canon_sha256":"555cbb0f685ac7e4b675afaee6c65b57f7e179f9befc23c906e82ff75d381eef"},"schema_version":"1.0","source":{"id":"2104.11964","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.11964","created_at":"2026-07-05T11:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"2104.11964v3","created_at":"2026-07-05T11:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11964","created_at":"2026-07-05T11:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"A6G5XPUJX7GM","created_at":"2026-07-05T11:57:51Z"},{"alias_kind":"pith_short_16","alias_value":"A6G5XPUJX7GMZ2RY","created_at":"2026-07-05T11:57:51Z"},{"alias_kind":"pith_short_8","alias_value":"A6G5XPUJ","created_at":"2026-07-05T11:57:51Z"}],"graph_snapshots":[{"event_id":"sha256:42bf6e75b9f971067075fdabcaf61121a70c4f562cecdc8430a859aa082a2cdc","target":"graph","created_at":"2026-07-05T11:57:51Z","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/2104.11964/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone's book \\cite{Sone-2007-Book} in the context of short time smooth solutions, and also generalizes the classic Caflisch's result \\cite{Caflish-1980-CPAM} to initial-boundary problem case.","authors_text":"Ning Jiang, Shaojun Tang, Yi-Long Luo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-04-24T14:36:21Z","title":"Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11964","kind":"arxiv","version":3},"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":"sha256:8b11898976872d389206589f4f002fc29f290b7b137dd621cd61f9919e8e16bd","target":"record","created_at":"2026-07-05T11:57:51Z","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":"d19c8080a87b5c324004c856074015ecd561e79400f722db8be98c0936673683","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-04-24T14:36:21Z","title_canon_sha256":"555cbb0f685ac7e4b675afaee6c65b57f7e179f9befc23c906e82ff75d381eef"},"schema_version":"1.0","source":{"id":"2104.11964","kind":"arxiv","version":3}},"canonical_sha256":"078ddbbe89bfccccea389c0beaaa937ad67092cffb2416b1c6e22711b8fdb311","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"078ddbbe89bfccccea389c0beaaa937ad67092cffb2416b1c6e22711b8fdb311","first_computed_at":"2026-07-05T11:57:51.305993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:57:51.305993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xu7yuVrelGCRzJffWjOz/rw/89PgUkUSXFSYYnE9aO82MKQxSjOb/++b0XQV2W3vlpbrqu0bEAXnbsi4YKsWDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:57:51.306516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.11964","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b11898976872d389206589f4f002fc29f290b7b137dd621cd61f9919e8e16bd","sha256:42bf6e75b9f971067075fdabcaf61121a70c4f562cecdc8430a859aa082a2cdc"],"state_sha256":"e290f268e0e8a809ca23906aed0db54349afffa04162fc658cb0ca85f4e24a25"}