{"as_of":"2026-08-11T16:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:483db2656d6f12762d26a89374ca9cb1a3e94a400a59ceee8fa28b1415aed14a","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-25T03:42:08.150780Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2605.23693/citation-record","integrity":"/paper/2605.23693/integrity","json":"/paper/2605.23693/citation-record.json","paper":"/paper/2605.23693"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A two-phase mixture theory for the deflagration-to-detonation tran- sition (DDT) in reactive granular materials","venue":null,"work_id":"9c70b33d-9235-49ff-853c-a416e430d637","year":1986},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:9e8507121fd2c7feffe0cae5cf73cf27a632efbc4704ff3a225475b6a73b3850","observation_id":"afdcce9e-6ba5-4213-99af-a14f513df379","resolution":{"observed_at":"2026-05-25T20:36:12.734200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:16:16.764150Z","title":"In: Proc","venue":null,"work_id":"452f975d-5e1f-47e0-967f-db1ed9da0d80","year":2025},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:c93eff858afbc718076243b1c8503358d66051c7bdecb311e046688a12184b93","observation_id":"4bd545f1-5b56-4eca-b807-543e13ddee28","resolution":{"observed_at":"2026-05-25T03:45:17.419574Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Large Time Asymptotics for Partially Dissipative Hyperbolic Systems","venue":null,"work_id":"76b1a73f-3ac6-4e33-9b8e-76ae4fcc7619","year":2011},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:b372716e29ee7432a291a724bfb7e537cc0492f177f157ba53af77636066ec37","observation_id":"7949e206-1782-402f-b7cb-1e254ba870b5","resolution":{"observed_at":"2026-05-25T20:36:12.743035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Benzoni-Gavage and D","venue":null,"work_id":"ff8e82b5-9c21-4733-8d6d-ab9ed914e9ca","year":2007},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:b5cf05f6ff61ec62a5807ddf7ebf4b423ad8fff6e119073e684e3724f036a0ff","observation_id":"c178895f-939e-4d8a-a596-2029a184833a","resolution":{"observed_at":"2026-05-25T20:36:12.771580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Diffusion models for mixtures using a stiff dissipative hyperbolic formalism","venue":null,"work_id":"1370d80d-f4d9-497c-aac3-950f2969ab0b","year":2019},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:9543a71979f2551b43f99d178646037a846743c0f96cb1addf6192237e60b884","observation_id":"3a7f79a4-191d-4904-a591-b08e8a119b23","resolution":{"observed_at":"2026-05-25T20:36:12.773894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"On the relaxation towards mechanical equilibrium for two-pressure compressible flows","venue":null,"work_id":"cc84070c-cd8b-426a-abc6-c750404bda6b","year":2026},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:0c6c9ad6987716fb4e82d3119e35e4d13c4aafbe5eed94665cd7020a9f83dad6","observation_id":"9faa79a0-42bd-46bf-87a5-8165604472f9","resolution":{"observed_at":"2026-05-25T20:36:12.727023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0218202523500161","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kapila model","venue":"Mathematical Models and Methods in Applied Sciences","work_id":"d286ee00-10b0-4c48-bae9-1c7f816abb1c","year":2023},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:d5cbacb3f962d4f7811d9b294071a8867d0bdd3534ec88d06b484b51c09936ff","observation_id":"fe937dff-7d81-4621-a1ff-b221eb334dff","resolution":{"observed_at":"2026-05-25T03:45:17.416288Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-05-25T05:25:45.787567+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T05:25:45.787567+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hyperbolic conservation laws with stiff relaxation terms and entropy","venue":null,"work_id":"9342c35a-8ac9-40fd-a338-d95bbb42b70d","year":1994},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:205258f8b12c036a45687098b4e5d4c5b284093fafda519b70152b7981e177f4","observation_id":"83b63247-488b-463a-968f-28e6893ee0ec","resolution":{"observed_at":"2026-05-25T20:36:12.730854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Two properties of two-velocity two-pressure models for two-phase flows","venue":null,"work_id":"42c3c3ee-4930-4174-9468-6da3fb69cb2e","year":2014},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:c2fd2fa6bf22a80bbe839e9ab25a0fd481af04936e1a1cd3c56eabb99fb5f8e5","observation_id":"2e6fede4-1bc9-4739-9b76-c83f2d70c231","resolution":{"observed_at":"2026-05-25T20:36:12.754915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.02313","last_updated":"2019-11-06T11:00:40Z","snapshot_observed_at":"2026-07-06T08:35:07.322038Z","submitted_at":"2019-11-06T11:00:40Z","title":"Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra","version":1},"cited_work":{"arxiv_id":"1911.02313","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.02313","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Cordesse and M","venue":null,"work_id":"1d91ae10-0f01-45fe-b134-8093cd21a34c","year":1911},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"cited_paper":"/paper/1911.02313","citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:fa101c4978c894013ab3ea35ca59320ccd6b93f2f6d01e61fad1d841c6e193b7","observation_id":"4b9108e4-1904-4347-9f8a-037cda2a68a0","resolution":{"observed_at":"2026-05-25T03:45:17.511653Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The strong relaxation limit of the multidimensional isothermal Euler equations","venue":null,"work_id":"81e3e161-e4f8-4ef7-8364-846203060665","year":2007},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:1355ef8c189749c4161ecca994e379a0be646e4a62aee8f15247986e94f72d4e","observation_id":"f2cd4105-a65e-4ff1-9b02-274a0098f317","resolution":{"observed_at":"2026-05-25T20:36:12.776920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit","venue":null,"work_id":"b8606adc-55f6-4909-9602-ef3000c85862","year":2022},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:5a2a6170dbf9a46f25bd01e28ac67128182fcfcf19af08df1b7ae17d7df15c28","observation_id":"1648f225-ae4c-4822-ac5e-1ea0c6eaa631","resolution":{"observed_at":"2026-05-25T20:36:12.740171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/emss/55","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Partially dissipative systems in the critical regularity setting, and strong relaxation limit","venue":"EMS Surveys in Mathematical Sciences","work_id":"ad044fee-b673-41df-bdfc-3bf105749e42","year":2022},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:1a1f7e338eb8422d0e3be984e307288e137c7e510b84fd531ff43045de144dda","observation_id":"8004f023-1ea3-4128-a09a-cf6161174f93","resolution":{"observed_at":"2026-05-25T03:45:17.422534Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-05-25T05:25:46.209339+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T05:25:46.209339+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Theory of multicomponent fluids.Vol.135.SpringerScience&Business Media","venue":null,"work_id":"a4849864-f8d3-42a8-98c7-17481aa637c3","year":2006},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:20bf438e3456f167a1924fb6c8b692eb11eb90bbd23742ebe413683f72c79cbc","observation_id":"9bef7dd5-eaed-4e7d-87e6-c9798e6967da","resolution":{"observed_at":"2026-05-25T20:36:12.745868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mathematical analysis of a two-phase continuum mixture theory","venue":null,"work_id":"240517aa-1b58-4208-976c-0190fcc56318","year":1992},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:ed495a083eec6a46f6abb40d2b962598c4bdc1f7c5a24503cc86819587c49b89","observation_id":"3f89f09c-7345-4f0b-afa9-30d29fba818f","resolution":{"observed_at":"2026-05-25T20:37:08.295938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law","venue":null,"work_id":"b08e22d2-0403-44e3-a1cc-b40a806494bd","year":2011},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:0ad32e497acf8205a22e1e96322d47fe669b0bd52479e74b2a43b6342fb29540","observation_id":"b9917295-4c7f-43ae-9901-9a476c3f285c","resolution":{"observed_at":"2026-05-25T20:37:08.284878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Numerical modeling of two-phase flows using the two- fluid two-pressure approach","venue":null,"work_id":"bb498496-5b50-4772-990f-aebc87e01134","year":2004},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:537ac10e570b0bc114bc72332526f48d8649aaa691b83c69a8213429df133991","observation_id":"f6beb8cb-a635-4e58-a07b-dd021c47c7ed","resolution":{"observed_at":"2026-05-25T20:36:12.737326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion","venue":null,"work_id":"ed82a3dc-99e0-4fb9-91dd-7c5d46595239","year":2023},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:2a68b4b9b6a98f3561cec056b598d58b41e02b4a0c98195922fc3adbf78259c5","observation_id":"08fe6004-e8b2-4cca-a034-882706597a65","resolution":{"observed_at":"2026-05-25T20:37:08.304546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Volume Viscosity and Internal Energy Relaxation: Error Estimates","venue":null,"work_id":"a974a3eb-6554-4c81-b557-cd02fcebe3bf","year":2018},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:f3a31e807d97baf14f3db3d9652a474824f53173b31f95954975a897d0272b1c","observation_id":"43863234-0e28-4337-8f5b-24f5d78f5fae","resolution":{"observed_at":"2026-05-25T20:36:12.824969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/krm.2015.8.79","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Volumeviscosityandinternalenergyrelaxation:Symmetrizationand Chapman-Enskog expansion","venue":"Kinetic and Related Models","work_id":"58fba2a0-d9ca-4a2e-9d99-36cf9d149b5d","year":2015},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:110195a0453f45248b85e3e54c219f849c2c28c0a95d929b964fbfb337418b24","observation_id":"e3f58ddf-3d09-42b5-9e24-7372796e1706","resolution":{"observed_at":"2026-05-25T03:45:17.409442Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-05-25T05:25:46.695653+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T05:25:46.695653+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A simple method to compute standard two-fluid models","venue":null,"work_id":"c264dbfe-af09-48d7-a60f-f09ee00bbd52","year":2005},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:e3afe9956fb2b9e4dcdccf90b933cee6499e4a55be1a5e0b623d33a5b56a3493","observation_id":"06afe9c4-d638-4801-ac8a-fde93f976eee","resolution":{"observed_at":"2026-05-25T20:36:12.779997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Some mathematical properties of a hyperbolic multiphase flow model","venue":null,"work_id":"3c61d292-3d8c-4a62-8f82-4fb4bfbef710","year":2018},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:711f20d88d9f7f181cbc350a05ffd11e336d25d3673069003e0a4ef94ead0f52","observation_id":"38f58274-ef2a-4a8f-8050-257fbfd62804","resolution":{"observed_at":"2026-05-25T20:36:12.788711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ishii and T","venue":null,"work_id":"04ce7cd8-c101-4ff7-9c42-1c55649a646b","year":2010},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:d331f85603413a5818e3c6d0a3b4eb18944c95a8c92e2dc59afc48d8a3d199ce","observation_id":"14f3aabc-7aec-4a11-9e8d-7e68df798d74","resolution":{"observed_at":"2026-05-25T20:36:12.768963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The relaxation schemes for systems of conservation laws in arbitrary space dimensions","venue":null,"work_id":"403c4345-8e88-463a-be15-08deeea2af85","year":1995},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:83c9201d217b8273ab61ede98cdfb53e5c34dcbcd071bfd49925c96424207702","observation_id":"09eb19fe-87a1-4316-91cc-9e755aede0b2","resolution":{"observed_at":"2026-05-25T20:36:12.761189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Two-phasemodelingofdeflagration- to-detonation transition in granular materials: Reduced equations","venue":null,"work_id":"be256993-1f9d-44ff-8a01-8f1235a5f83d","year":2001},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:ab2ba9b3cfc6d10f5475e4fbfdaa0d78ea5b84dba1b726e46a321034bf5e3c19","observation_id":"988b5557-e544-4e85-9383-831e40598407","resolution":{"observed_at":"2026-05-25T20:36:12.766351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpa.3160410704","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Commutator Estimates and the Euler and Navier-stokes Equations","venue":"Communications on Pure and Applied Mathematics","work_id":"ab56cfac-fe26-4d4e-96c7-fc4a4025eea2","year":1988},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:b02df44ba4377836b19df7612489e23296678fe7c2eb223871473f1508998fbd","observation_id":"e63f1c91-5e13-49a2-a1c2-3d8c1a89506d","resolution":{"observed_at":"2026-05-25T03:45:17.412522Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-05-25T05:25:47.043953+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T05:25:47.043953+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hyperbolic conservation laws with relaxation","venue":null,"work_id":"6535a406-ba46-4ad6-a65f-5f54b924830d","year":1987},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:2d62fcce825bcc183ade0c824d10a4bebc8956d9631e224aa2931501e0c0a0cd","observation_id":"055a7da1-8972-4a19-96db-2601463a2755","resolution":{"observed_at":"2026-05-25T20:36:12.763595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Some mathematical properties of a barotropic multiphase flow model","venue":null,"work_id":"d89ffa78-89bd-4cb4-888c-d57556879acf","year":2020},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:9d8d06207a67250b2943fc655b1c81973cbc5da20af1b150eedda088f6ff0420","observation_id":"f673ef45-9012-4a8c-85ec-b62c0f1a0c49","resolution":{"observed_at":"2026-05-25T20:36:12.758261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A multiphase Godunov method for compressible multifluid and multiphase flows","venue":null,"work_id":"58567bc3-34e7-4f95-af22-4a26d82cb936","year":1999},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:784513c299fb524ccfba82c7f020d614a21742ed79cba758b4af6a3eb930bfa1","observation_id":"97781fdd-befc-48be-a8c4-ddeb9198734c","resolution":{"observed_at":"2026-05-25T20:36:12.748784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A multiphase model with internal degrees of freedom: application to shock-bubble interaction","venue":null,"work_id":"3f27e70c-de5d-4722-ba21-96367550168c","year":2003},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:cc345db2f2f2e7b004b58f24e2c4880b10ab3dbe7563c29296af22b456a83f97","observation_id":"1bb5c3d9-bcc6-4422-8d27-4e0a41a11c30","resolution":{"observed_at":"2026-05-25T20:36:12.782823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Thermodynamics of diffusion","venue":null,"work_id":"d4a5e8bc-d52c-456f-951d-e8c60f67cf8b","year":1984},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:2c9bf07112e91f7e602912ab885583d3ab5165a8a591847adf3134ab727fa55c","observation_id":"8cee5125-2c55-457a-bedc-3a360075a892","resolution":{"observed_at":"2026-05-25T20:37:08.300330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Global classical solutions for partially dissipative hyperbolic system of balance laws","venue":null,"work_id":"c91e196b-6176-418d-a216-5202d49fa58b","year":2014},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:eb14708004a87da59f3c726f4e42ffc8fb71b03451dc4696720b922fb6e3207e","observation_id":"4ccf9d31-2efd-44a3-8d48-bf98cd85d2c8","resolution":{"observed_at":"2026-05-25T20:37:08.290798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Singular perturbations of first-order hyperbolic systems with stiff source terms","venue":null,"work_id":"1bc1b5af-a0a4-4491-90ad-4fa733eb1e7e","year":1999},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:2525db20c7d0196f585a4218dadd9f384e94de6af70569283b5432f482890b61","observation_id":"5a64c5cf-8589-47a3-867f-dae4e7be9f2b","resolution":{"observed_at":"2026-05-25T20:36:12.785823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Entropy and global existence for hyperbolic balance laws","venue":null,"work_id":"69f8c0bf-9d06-4300-a179-a391d7a942f6","year":2004},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:356d8e151a8175668194026ce0cc742f75bee78f8b966e0360a79a806fe4b084","observation_id":"824938d3-f3aa-4e32-a8ce-f1e6bb7849d9","resolution":{"observed_at":"2026-05-25T20:36:12.751853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gas Dynamics in Thermal Nonequilibrium and General Hyperbolic Systems with Relax- ation","venue":null,"work_id":"7360c930-9714-4cac-9096-9e05d4976c33","year":1999},"citing_paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-25T03:42:08.150780Z"},"links":{"citing_paper":"/paper/2605.23693"},"observation_digest":"sha256:a17126888a8ebe7dc0334a19af9393ea0d88fcd8beac830fc2fd6fd5dd0915b1","observation_id":"e3f737e5-3112-4d5a-aa55-f03bca6937b1","resolution":{"observed_at":"2026-05-25T20:37:08.309035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.23693","last_updated":"2026-05-22T14:49:01Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T23:33:53.870540Z","submitted_at":"2026-05-22T14:49:01Z","title":"Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":5,"verified_fuzzy":29},"total_outbound_references":35},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2605.23693."}