{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UJXJYQU3HMEA5TYEMJF3XJ6UTX","short_pith_number":"pith:UJXJYQU3","canonical_record":{"source":{"id":"2506.18420","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-23T09:02:00Z","cross_cats_sorted":[],"title_canon_sha256":"061b43e77e3adf612ad90f92fa4355fa58616a8f9ee80a6e07cb0152e103eaef","abstract_canon_sha256":"b8210c77b621580750503b5541c0b7f71fcefddadf2c1c0904d15a6fde8768c2"},"schema_version":"1.0"},"canonical_sha256":"a26e9c429b3b080ecf04624bbba7d49de052bb0e4ffde40bae0e86a617a391a7","source":{"kind":"arxiv","id":"2506.18420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.18420","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"2506.18420v1","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.18420","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"UJXJYQU3HMEA","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UJXJYQU3HMEA5TYE","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UJXJYQU3","created_at":"2026-07-05T11:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UJXJYQU3HMEA5TYEMJF3XJ6UTX","target":"record","payload":{"canonical_record":{"source":{"id":"2506.18420","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-23T09:02:00Z","cross_cats_sorted":[],"title_canon_sha256":"061b43e77e3adf612ad90f92fa4355fa58616a8f9ee80a6e07cb0152e103eaef","abstract_canon_sha256":"b8210c77b621580750503b5541c0b7f71fcefddadf2c1c0904d15a6fde8768c2"},"schema_version":"1.0"},"canonical_sha256":"a26e9c429b3b080ecf04624bbba7d49de052bb0e4ffde40bae0e86a617a391a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:25:49.911615Z","signature_b64":"IAOxeIxdmo9O/l+o+RYcwsadFJf5l32yrbM77hlM/97jYlUXg3PQrWZhV2a/kSRt/Y2tdM+JTmJomJs1kLu9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a26e9c429b3b080ecf04624bbba7d49de052bb0e4ffde40bae0e86a617a391a7","last_reissued_at":"2026-07-05T11:25:49.910923Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:25:49.910923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.18420","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I+ktGXSnNk9TKgJLKx7nPbMYGKXa+7croowQH52VbAaABRUo6xtLs8acAmWIXxqQMlx8/E5JONem8xziLh0CAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:32:47.476519Z"},"content_sha256":"31e67d817dd06d951884dbb285cea5264935edd38b2c7d5f5d9dca31377c89a0","schema_version":"1.0","event_id":"sha256:31e67d817dd06d951884dbb285cea5264935edd38b2c7d5f5d9dca31377c89a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UJXJYQU3HMEA5TYEMJF3XJ6UTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chao Wang, Ning Jiang, Yulong Wu, Zhifei Zhang","submitted_at":"2025-06-23T09:02:00Z","abstract_excerpt":"In this paper, we rigorously justify the incompressible Euler limit of the Boltzmann equation with general Maxwell reflection boundary condition in the half-space. The accommodation coefficient $\\alpha \\in (0,1]$ is assumed to be $O(1)$. Our construction of solutions includes the interior fluid part and Knudsen-Prandtl coupled boundary layers. The corresponding solutions to the nonlinear Euler and nonlinear Prandtl systems are taken to be shear flows. Due to the presence of the nonlinear Prandtl layer, the remainder equation loses one order normal derivative. The key technical novelty lies in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.18420","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.18420/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tMOEs3r8N8DdK1uBuphkpnq0ipNlOBhB35MARoIFgrs0qlPbZHXlwQLZEu288fuW7XKMAHLAeDR8WupZITRiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:32:47.477171Z"},"content_sha256":"f44590800a6534b032688eab879af169539d32e4725c80bc9490f3085a4bd172","schema_version":"1.0","event_id":"sha256:f44590800a6534b032688eab879af169539d32e4725c80bc9490f3085a4bd172"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/bundle.json","state_url":"https://pith.science/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T20:32:47Z","links":{"resolver":"https://pith.science/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX","bundle":"https://pith.science/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/bundle.json","state":"https://pith.science/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJXJYQU3HMEA5TYEMJF3XJ6UTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UJXJYQU3HMEA5TYEMJF3XJ6UTX","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":"b8210c77b621580750503b5541c0b7f71fcefddadf2c1c0904d15a6fde8768c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-23T09:02:00Z","title_canon_sha256":"061b43e77e3adf612ad90f92fa4355fa58616a8f9ee80a6e07cb0152e103eaef"},"schema_version":"1.0","source":{"id":"2506.18420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.18420","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"2506.18420v1","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.18420","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"UJXJYQU3HMEA","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UJXJYQU3HMEA5TYE","created_at":"2026-07-05T11:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UJXJYQU3","created_at":"2026-07-05T11:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f44590800a6534b032688eab879af169539d32e4725c80bc9490f3085a4bd172","target":"graph","created_at":"2026-07-05T11:25:49Z","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/2506.18420/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we rigorously justify the incompressible Euler limit of the Boltzmann equation with general Maxwell reflection boundary condition in the half-space. The accommodation coefficient $\\alpha \\in (0,1]$ is assumed to be $O(1)$. Our construction of solutions includes the interior fluid part and Knudsen-Prandtl coupled boundary layers. The corresponding solutions to the nonlinear Euler and nonlinear Prandtl systems are taken to be shear flows. Due to the presence of the nonlinear Prandtl layer, the remainder equation loses one order normal derivative. The key technical novelty lies in ","authors_text":"Chao Wang, Ning Jiang, Yulong Wu, Zhifei Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-23T09:02:00Z","title":"Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.18420","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":"sha256:31e67d817dd06d951884dbb285cea5264935edd38b2c7d5f5d9dca31377c89a0","target":"record","created_at":"2026-07-05T11:25:49Z","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":"b8210c77b621580750503b5541c0b7f71fcefddadf2c1c0904d15a6fde8768c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-23T09:02:00Z","title_canon_sha256":"061b43e77e3adf612ad90f92fa4355fa58616a8f9ee80a6e07cb0152e103eaef"},"schema_version":"1.0","source":{"id":"2506.18420","kind":"arxiv","version":1}},"canonical_sha256":"a26e9c429b3b080ecf04624bbba7d49de052bb0e4ffde40bae0e86a617a391a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a26e9c429b3b080ecf04624bbba7d49de052bb0e4ffde40bae0e86a617a391a7","first_computed_at":"2026-07-05T11:25:49.910923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:25:49.910923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IAOxeIxdmo9O/l+o+RYcwsadFJf5l32yrbM77hlM/97jYlUXg3PQrWZhV2a/kSRt/Y2tdM+JTmJomJs1kLu9BA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:25:49.911615Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.18420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31e67d817dd06d951884dbb285cea5264935edd38b2c7d5f5d9dca31377c89a0","sha256:f44590800a6534b032688eab879af169539d32e4725c80bc9490f3085a4bd172"],"state_sha256":"140be8d895be670cbe92880e298f3d800219420dd4759ce50f42befe0ccbc96b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctjzAda4VTy/jqqR8wDcKk9pur5mnCMVt2n+U0potT9UM8aQ9TD/qlT/O1m8RWRLtKjsMyWNz5owkt57Yi2LCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T20:32:47.482546Z","bundle_sha256":"329a15792f4743d418b999bc1dd45d230ce8bab3d9f45361a3feac9d85be53ce"}}