{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BH4VX6W72VZ4IFIHVW7K5KKUVL","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":"e8fa45eea20ecda26296fd872291f7cbfff44449a653c0f4262bc9ad63815c6f","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-11-13T16:49:19Z","title_canon_sha256":"c7a933ab3df41af61e14634f8ba80cf12f0ffdec4f51c9c2f6508c1a96669937"},"schema_version":"1.0","source":{"id":"0811.2168","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2168","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2168v1","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2168","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"pith_short_12","alias_value":"BH4VX6W72VZ4","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"BH4VX6W72VZ4IFIH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"BH4VX6W7","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:30f2cf779ccbd2d92352cf2a8fc77bf2aadbe32294c9094ca356849747468858","target":"graph","created_at":"2026-05-18T04:32:22Z","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"},"paper":{"abstract_excerpt":"We prove the global existence and uniqueness of strong solutions for a compressible multifluid described by the barotropic Navier-Stokes equations in dim = 1. The result holds when the diffusion coefficient depends on the pressure. It relies on a global control in time of the L2 norm of the space derivative of the density, via a new kind of entropy.","authors_text":"A. Vasseur, C. Michoski","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-11-13T16:49:19Z","title":"Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2168","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":"sha256:8de4dfaa76c3e23a65380cc8e14cadadced6201a19fe98a9af0f8b16af0a29be","target":"record","created_at":"2026-05-18T04:32:22Z","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":"e8fa45eea20ecda26296fd872291f7cbfff44449a653c0f4262bc9ad63815c6f","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-11-13T16:49:19Z","title_canon_sha256":"c7a933ab3df41af61e14634f8ba80cf12f0ffdec4f51c9c2f6508c1a96669937"},"schema_version":"1.0","source":{"id":"0811.2168","kind":"arxiv","version":1}},"canonical_sha256":"09f95bfadfd573c41507adbeaea954aaf2304af3f958c8694efa475c0e10f010","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09f95bfadfd573c41507adbeaea954aaf2304af3f958c8694efa475c0e10f010","first_computed_at":"2026-05-18T04:32:22.233067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:22.233067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YL2Sj7/vkBKNBoXBiplgaVyeu9SGzb2yPftOl9hY3WmjkWE4dP5PzcdFTq9EIkZVdh4X8zfoKj0C821/XBO7CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:22.233875Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2168","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8de4dfaa76c3e23a65380cc8e14cadadced6201a19fe98a9af0f8b16af0a29be","sha256:30f2cf779ccbd2d92352cf2a8fc77bf2aadbe32294c9094ca356849747468858"],"state_sha256":"5c044e233234401e532af6d10d9d88df6b9cea25a5dbd03a99add8621f1ea7c5"}