{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JR7I2M4VZNOYZBTT3EAWJN2VMV","short_pith_number":"pith:JR7I2M4V","schema_version":"1.0","canonical_sha256":"4c7e8d3395cb5d8c8673d90164b755655e3e260bd6865015dc98ca261c4a2c46","source":{"kind":"arxiv","id":"2605.26687","version":1},"attestation_state":"computed","paper":{"title":"Maximal entropy production principle and the Euler system of gas dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduard Feireisl, Elisabetta Chiodaroli, Ond\\v{r}ej Kreml, Simon Markfelder","submitted_at":"2026-05-26T08:27:05Z","abstract_excerpt":"Convex integration has revealed that the Euler system of gas dynamics is ill-posed in the class of weak solutions even if the entropy inequality is imposed as an additional constraint. A natural question arises, namely, if a physically relevant solution can be selected by maximizing the entropy production rate. Firstly, we present an example of Riemann initial data in 2-D, for which the standard self-similar solution fails to satisfy the maximal entropy production principle. Hence, maximizing the entropy production rate rules out the 1-D self-similar solution which intuitively seems to be the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.26687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-26T08:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"c0a1fd438a482bad64b9df44d27ff6f90d1513c2cb7b566147b77dcd86592db3","abstract_canon_sha256":"db076f6128903c05ead2d0c49d67dfdc76ff303a2d411f0ffa8ad4a517c060c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:06.116509Z","signature_b64":"RK94n7rHn9lV/v2v+FTCIX3BpxYK/jdxO5DGC4JGfC4qk5i958m+0EDL03CV9TDNRtzA7rUkYrdZVXB00B0GBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c7e8d3395cb5d8c8673d90164b755655e3e260bd6865015dc98ca261c4a2c46","last_reissued_at":"2026-05-27T01:06:06.115654Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:06.115654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal entropy production principle and the Euler system of gas dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduard Feireisl, Elisabetta Chiodaroli, Ond\\v{r}ej Kreml, Simon Markfelder","submitted_at":"2026-05-26T08:27:05Z","abstract_excerpt":"Convex integration has revealed that the Euler system of gas dynamics is ill-posed in the class of weak solutions even if the entropy inequality is imposed as an additional constraint. A natural question arises, namely, if a physically relevant solution can be selected by maximizing the entropy production rate. Firstly, we present an example of Riemann initial data in 2-D, for which the standard self-similar solution fails to satisfy the maximal entropy production principle. Hence, maximizing the entropy production rate rules out the 1-D self-similar solution which intuitively seems to be the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26687","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/2605.26687/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.26687","created_at":"2026-05-27T01:06:06.115806+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26687v1","created_at":"2026-05-27T01:06:06.115806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26687","created_at":"2026-05-27T01:06:06.115806+00:00"},{"alias_kind":"pith_short_12","alias_value":"JR7I2M4VZNOY","created_at":"2026-05-27T01:06:06.115806+00:00"},{"alias_kind":"pith_short_16","alias_value":"JR7I2M4VZNOYZBTT","created_at":"2026-05-27T01:06:06.115806+00:00"},{"alias_kind":"pith_short_8","alias_value":"JR7I2M4V","created_at":"2026-05-27T01:06:06.115806+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV","json":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV.json","graph_json":"https://pith.science/api/pith-number/JR7I2M4VZNOYZBTT3EAWJN2VMV/graph.json","events_json":"https://pith.science/api/pith-number/JR7I2M4VZNOYZBTT3EAWJN2VMV/events.json","paper":"https://pith.science/paper/JR7I2M4V"},"agent_actions":{"view_html":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV","download_json":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV.json","view_paper":"https://pith.science/paper/JR7I2M4V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26687&json=true","fetch_graph":"https://pith.science/api/pith-number/JR7I2M4VZNOYZBTT3EAWJN2VMV/graph.json","fetch_events":"https://pith.science/api/pith-number/JR7I2M4VZNOYZBTT3EAWJN2VMV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV/action/storage_attestation","attest_author":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV/action/author_attestation","sign_citation":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV/action/citation_signature","submit_replication":"https://pith.science/pith/JR7I2M4VZNOYZBTT3EAWJN2VMV/action/replication_record"}},"created_at":"2026-05-27T01:06:06.115806+00:00","updated_at":"2026-05-27T01:06:06.115806+00:00"}