{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YKBH7X3ZXGSNQOTWDRPSDJJ35Q","short_pith_number":"pith:YKBH7X3Z","canonical_record":{"source":{"id":"2406.12642","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-18T14:10:12Z","cross_cats_sorted":[],"title_canon_sha256":"f2ff709906a0476a99324e0da0e3a736ba3a3055d4b66982ae8637f4ad403d30","abstract_canon_sha256":"f06aa2bbf204aabe8c7b4b60c0c3116a603b2ccd16640f77c7bf404be3264062"},"schema_version":"1.0"},"canonical_sha256":"c2827fdf79b9a4d83a761c5f21a53bec0fb7dc9a47f51d7dd05d2769807e8a9a","source":{"kind":"arxiv","id":"2406.12642","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.12642","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.12642v1","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12642","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"YKBH7X3ZXGSN","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_16","alias_value":"YKBH7X3ZXGSNQOTW","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_8","alias_value":"YKBH7X3Z","created_at":"2026-07-05T08:33:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YKBH7X3ZXGSNQOTWDRPSDJJ35Q","target":"record","payload":{"canonical_record":{"source":{"id":"2406.12642","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-18T14:10:12Z","cross_cats_sorted":[],"title_canon_sha256":"f2ff709906a0476a99324e0da0e3a736ba3a3055d4b66982ae8637f4ad403d30","abstract_canon_sha256":"f06aa2bbf204aabe8c7b4b60c0c3116a603b2ccd16640f77c7bf404be3264062"},"schema_version":"1.0"},"canonical_sha256":"c2827fdf79b9a4d83a761c5f21a53bec0fb7dc9a47f51d7dd05d2769807e8a9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:48.937517Z","signature_b64":"YcX2vPHgWplBC0vkxb2XeC+uu3rC/JCeQs5TqyRR1qMBi63MQVxqG/7JgwXn3tV6y7ZK36cifk3fyTP/zNT1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2827fdf79b9a4d83a761c5f21a53bec0fb7dc9a47f51d7dd05d2769807e8a9a","last_reissued_at":"2026-07-05T08:33:48.937158Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:48.937158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.12642","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":"2026-07-05T08:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2s7sUwjuXum7PHAfOgEI2Daga787HA9tqEwFNbaBzUHkpeArN7GOYnqgngy/UjOLXHJOY6Lyn1cFE1i7gdNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:03:22.385091Z"},"content_sha256":"9d2a329470ec9caf23f7ee62e617c01c204be8099f48b3ea4228e91fdb2b6d86","schema_version":"1.0","event_id":"sha256:9d2a329470ec9caf23f7ee62e617c01c204be8099f48b3ea4228e91fdb2b6d86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YKBH7X3ZXGSNQOTWDRPSDJJ35Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low mach Number Limit of the Viscous and Heat Conductive Flow with general pressure law on torus","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guilong Gui, Ning Jiang, Yuhan Chen, Zhen Hao","submitted_at":"2024-06-18T14:10:12Z","abstract_excerpt":"We prove the low Mach number limit from compressible Navier-Stokes-Fourier system with the general pressure law around a constant state on the torus $\\mathbb{T}^N_a$. We view this limit as a special case of the weakly nonlinear-dissipative approximation of the general hyperbolic-parabolic system with entropy. In particular, we consider the ill-prepared initial data, for which the group of fast acoustic waves is needed to be filtered. This extends the previous works, in particular Danchin [ Amer. J. Math. 124 (2002), 1153-1219] in two ways: 1. We treat the fully general non-isentropic flow, i.e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12642","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/2406.12642/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":"2026-07-05T08:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ypCulpWN+7DqqcDUsVKyXuHYozQ1Pgurn1Sa6IyvYXT0LnkO/ScXtROnvr/ZsUOySk7PZo1c8R9KJhHcCLkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:03:22.385597Z"},"content_sha256":"d3656e9343fbe474e1593a6333e89a780c3900f92557a9e4e19c6eb044e9077b","schema_version":"1.0","event_id":"sha256:d3656e9343fbe474e1593a6333e89a780c3900f92557a9e4e19c6eb044e9077b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/bundle.json","state_url":"https://pith.science/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/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":"2026-08-12T21:03:22Z","links":{"resolver":"https://pith.science/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q","bundle":"https://pith.science/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/bundle.json","state":"https://pith.science/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKBH7X3ZXGSNQOTWDRPSDJJ35Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YKBH7X3ZXGSNQOTWDRPSDJJ35Q","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":"f06aa2bbf204aabe8c7b4b60c0c3116a603b2ccd16640f77c7bf404be3264062","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-18T14:10:12Z","title_canon_sha256":"f2ff709906a0476a99324e0da0e3a736ba3a3055d4b66982ae8637f4ad403d30"},"schema_version":"1.0","source":{"id":"2406.12642","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.12642","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.12642v1","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12642","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"YKBH7X3ZXGSN","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_16","alias_value":"YKBH7X3ZXGSNQOTW","created_at":"2026-07-05T08:33:48Z"},{"alias_kind":"pith_short_8","alias_value":"YKBH7X3Z","created_at":"2026-07-05T08:33:48Z"}],"graph_snapshots":[{"event_id":"sha256:d3656e9343fbe474e1593a6333e89a780c3900f92557a9e4e19c6eb044e9077b","target":"graph","created_at":"2026-07-05T08:33:48Z","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/2406.12642/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the low Mach number limit from compressible Navier-Stokes-Fourier system with the general pressure law around a constant state on the torus $\\mathbb{T}^N_a$. We view this limit as a special case of the weakly nonlinear-dissipative approximation of the general hyperbolic-parabolic system with entropy. In particular, we consider the ill-prepared initial data, for which the group of fast acoustic waves is needed to be filtered. This extends the previous works, in particular Danchin [ Amer. J. Math. 124 (2002), 1153-1219] in two ways: 1. We treat the fully general non-isentropic flow, i.e","authors_text":"Guilong Gui, Ning Jiang, Yuhan Chen, Zhen Hao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-18T14:10:12Z","title":"Low mach Number Limit of the Viscous and Heat Conductive Flow with general pressure law on torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12642","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":"sha256:9d2a329470ec9caf23f7ee62e617c01c204be8099f48b3ea4228e91fdb2b6d86","target":"record","created_at":"2026-07-05T08:33:48Z","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":"f06aa2bbf204aabe8c7b4b60c0c3116a603b2ccd16640f77c7bf404be3264062","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-18T14:10:12Z","title_canon_sha256":"f2ff709906a0476a99324e0da0e3a736ba3a3055d4b66982ae8637f4ad403d30"},"schema_version":"1.0","source":{"id":"2406.12642","kind":"arxiv","version":1}},"canonical_sha256":"c2827fdf79b9a4d83a761c5f21a53bec0fb7dc9a47f51d7dd05d2769807e8a9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2827fdf79b9a4d83a761c5f21a53bec0fb7dc9a47f51d7dd05d2769807e8a9a","first_computed_at":"2026-07-05T08:33:48.937158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:33:48.937158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YcX2vPHgWplBC0vkxb2XeC+uu3rC/JCeQs5TqyRR1qMBi63MQVxqG/7JgwXn3tV6y7ZK36cifk3fyTP/zNT1DA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:33:48.937517Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.12642","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d2a329470ec9caf23f7ee62e617c01c204be8099f48b3ea4228e91fdb2b6d86","sha256:d3656e9343fbe474e1593a6333e89a780c3900f92557a9e4e19c6eb044e9077b"],"state_sha256":"8df0ca2c3ffdd74cb2a36a2115e82d383cc1f56143c061941b8d20dbf4e122eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybGtj4hQtri2k7Cy1LyupElIbNLyRNrPPe8OQ3WxdDHDFXBiRNXJhwueIOEB4WvSeXgINNK1LRDfR8BEf6UmDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T21:03:22.391655Z","bundle_sha256":"f07ddcf11ef65371560aad2edea16d329fc280b09cda7f6cb067cb431984dcb3"}}