{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CXAO7DS7MRJGSG33YAIGJCHMYV","short_pith_number":"pith:CXAO7DS7","canonical_record":{"source":{"id":"1401.5112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-20T22:50:46Z","cross_cats_sorted":[],"title_canon_sha256":"689e3cd615221a86a610044ef245542e3eeb210dc7003abb75e5b33ce11c3036","abstract_canon_sha256":"cbba73ee0bed575deefe535a023aef59579863164a13051216f14454b09d5e49"},"schema_version":"1.0"},"canonical_sha256":"15c0ef8e5f6452691b7bc0106488ecc54649902a6428ee17a59f452aa3f38998","source":{"kind":"arxiv","id":"1401.5112","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5112","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5112v2","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5112","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"CXAO7DS7MRJG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CXAO7DS7MRJGSG33","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CXAO7DS7","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CXAO7DS7MRJGSG33YAIGJCHMYV","target":"record","payload":{"canonical_record":{"source":{"id":"1401.5112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-20T22:50:46Z","cross_cats_sorted":[],"title_canon_sha256":"689e3cd615221a86a610044ef245542e3eeb210dc7003abb75e5b33ce11c3036","abstract_canon_sha256":"cbba73ee0bed575deefe535a023aef59579863164a13051216f14454b09d5e49"},"schema_version":"1.0"},"canonical_sha256":"15c0ef8e5f6452691b7bc0106488ecc54649902a6428ee17a59f452aa3f38998","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:41.603812Z","signature_b64":"Wt1IknYFjrbyVKjLdheFimTpQlGl3ey4qrU41Vwhk62OiloGyVM5nLdjEJUAdQFD24G5JIuU9f0CxIChW96HAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15c0ef8e5f6452691b7bc0106488ecc54649902a6428ee17a59f452aa3f38998","last_reissued_at":"2026-05-18T02:52:41.603191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:41.603191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.5112","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0cvEbGOzyc0qTXWuuYq5RPtZNhS4U2BtwigUarQFUJ2rhQ/jkioJKetOXXTwd0I5t9n4l2JOU/wQQFH0OTgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:10:16.352564Z"},"content_sha256":"4d495fdec20d158b55be3a1890c8e5d3f831d05aba993d2d28b2215d622d5ca5","schema_version":"1.0","event_id":"sha256:4d495fdec20d158b55be3a1890c8e5d3f831d05aba993d2d28b2215d622d5ca5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CXAO7DS7MRJGSG33YAIGJCHMYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ewelina Zatorska, Milan Pokorn\\'y, Piotr Bogs{\\l}aw Mucha","submitted_at":"2014-01-20T22:50:46Z","abstract_excerpt":"We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing on vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the global-in-time existence of weak solutions on the three-dimensional torus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5112","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"imNYu45Sx7KVr0qt2ZKschkVpjqI2ow49WG2NDjkHvNisQzsYOtvecTk+nOw0jgYpW0drnml1RyyqeR3dBnoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:10:16.352899Z"},"content_sha256":"40304e24e59caa08b2c30f5560f3ad812d7c6f9982bf15e79aeda61f18b2b4cb","schema_version":"1.0","event_id":"sha256:40304e24e59caa08b2c30f5560f3ad812d7c6f9982bf15e79aeda61f18b2b4cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/bundle.json","state_url":"https://pith.science/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/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":"2026-06-22T20:10:16Z","links":{"resolver":"https://pith.science/pith/CXAO7DS7MRJGSG33YAIGJCHMYV","bundle":"https://pith.science/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/bundle.json","state":"https://pith.science/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXAO7DS7MRJGSG33YAIGJCHMYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CXAO7DS7MRJGSG33YAIGJCHMYV","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":"cbba73ee0bed575deefe535a023aef59579863164a13051216f14454b09d5e49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-20T22:50:46Z","title_canon_sha256":"689e3cd615221a86a610044ef245542e3eeb210dc7003abb75e5b33ce11c3036"},"schema_version":"1.0","source":{"id":"1401.5112","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5112","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5112v2","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5112","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"CXAO7DS7MRJG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CXAO7DS7MRJGSG33","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CXAO7DS7","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:40304e24e59caa08b2c30f5560f3ad812d7c6f9982bf15e79aeda61f18b2b4cb","target":"graph","created_at":"2026-05-18T02:52:41Z","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 investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing on vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the global-in-time existence of weak solutions on the three-dimensional torus.","authors_text":"Ewelina Zatorska, Milan Pokorn\\'y, Piotr Bogs{\\l}aw Mucha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-20T22:50:46Z","title":"Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5112","kind":"arxiv","version":2},"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":"sha256:4d495fdec20d158b55be3a1890c8e5d3f831d05aba993d2d28b2215d622d5ca5","target":"record","created_at":"2026-05-18T02:52:41Z","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":"cbba73ee0bed575deefe535a023aef59579863164a13051216f14454b09d5e49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-20T22:50:46Z","title_canon_sha256":"689e3cd615221a86a610044ef245542e3eeb210dc7003abb75e5b33ce11c3036"},"schema_version":"1.0","source":{"id":"1401.5112","kind":"arxiv","version":2}},"canonical_sha256":"15c0ef8e5f6452691b7bc0106488ecc54649902a6428ee17a59f452aa3f38998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15c0ef8e5f6452691b7bc0106488ecc54649902a6428ee17a59f452aa3f38998","first_computed_at":"2026-05-18T02:52:41.603191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:41.603191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wt1IknYFjrbyVKjLdheFimTpQlGl3ey4qrU41Vwhk62OiloGyVM5nLdjEJUAdQFD24G5JIuU9f0CxIChW96HAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:41.603812Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5112","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d495fdec20d158b55be3a1890c8e5d3f831d05aba993d2d28b2215d622d5ca5","sha256:40304e24e59caa08b2c30f5560f3ad812d7c6f9982bf15e79aeda61f18b2b4cb"],"state_sha256":"152b29c548b1b9a1eb9ff3ab16e85211d3b2a23f7db2a8b14e9f7f405936802c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QXHJoMQimgQYTyyK2lZF+66pLLrcFsB05tW2cDhz72galUvHGVyMy6Yp8P1WD0QgA2oqL0AnsEg43tHnZf+YDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T20:10:16.354734Z","bundle_sha256":"f97385fb9444dee4f2e1a62b810575a07667a94e462fa03d8b30c39d31baf3f5"}}