{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QSN7SMYUNECEDRYPAO6DGC5NGM","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":"e8845ff19bc7ae12e2f2f4ca387ac58624080fd5ef795fcfc316a4f9bbc17f89","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-03T01:06:49Z","title_canon_sha256":"c31bee5ce493cab5781644c6b53319de112b6126b1d0275d314e861499f3a645"},"schema_version":"1.0","source":{"id":"2507.02224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02224","created_at":"2026-06-03T01:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02224v1","created_at":"2026-06-03T01:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02224","created_at":"2026-06-03T01:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"QSN7SMYUNECE","created_at":"2026-06-03T01:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"QSN7SMYUNECEDRYP","created_at":"2026-06-03T01:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"QSN7SMYU","created_at":"2026-06-03T01:05:04Z"}],"graph_snapshots":[{"event_id":"sha256:5d056f2f94ff0404723fafa49e683b77733955744ca1292c6295c0ee8344aef2","target":"graph","created_at":"2026-06-03T01:05:04Z","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/2507.02224/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Brenner-Navier-Stokes-Fourier (BNSF) system, introduced by Howard Brenner, was developed to address some deficiencies in the classical Navier-Stokes-Fourier system, based on the concept of volume velocity. We consider the one-dimensional BNSF system in Lagrangian mass coordinates, incorporating temperature-dependent transport coefficients, which yields a more physically realistic framework. We establish the existence and uniqueness of monotone traveling wave solutions (or viscous shocks) to the BNSF system with any positive $C^2$ dissipation coefficients, provided that the shock amplitude ","authors_text":"Namhyun Eun, Saehoon Eo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-03T01:06:49Z","title":"Traveling Wave Solutions to a Large Class of Brenner-Navier-Stokes-Fourier Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02224","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":"sha256:1bf7e3432fd8cbba5286c0d5ce0b0b97aa2c035ca993138d3561c151e6f2d446","target":"record","created_at":"2026-06-03T01:05:04Z","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":"e8845ff19bc7ae12e2f2f4ca387ac58624080fd5ef795fcfc316a4f9bbc17f89","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-03T01:06:49Z","title_canon_sha256":"c31bee5ce493cab5781644c6b53319de112b6126b1d0275d314e861499f3a645"},"schema_version":"1.0","source":{"id":"2507.02224","kind":"arxiv","version":1}},"canonical_sha256":"849bf93314690441c70f03bc330bad3312b1507b07a3990bf7059fb3e963b32c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"849bf93314690441c70f03bc330bad3312b1507b07a3990bf7059fb3e963b32c","first_computed_at":"2026-06-03T01:05:04.999649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:04.999649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"59/gQBUUBK0HpOa5MJUQsCFDbHtxQIAxKpL4ezPIB17ATOSxUFTPg3mb8Bns81Y71XT7jozdtfxx4iV65SAUCQ==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:05.000141Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.02224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bf7e3432fd8cbba5286c0d5ce0b0b97aa2c035ca993138d3561c151e6f2d446","sha256:5d056f2f94ff0404723fafa49e683b77733955744ca1292c6295c0ee8344aef2"],"state_sha256":"74fbdf5f877f8bb9ecb26bff747ce4e2a5efcfc79b920e765fb795a7d4d5d6f7"}