{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NOVPKUAFJJ722MYDXJPKMOLXK3","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":"480683e5df2cdf35ce18a3683b70bc234745eab01723119420e7fc5756f0f662","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-06T13:12:37Z","title_canon_sha256":"dede5104a9d4bdf54d8d45b2e74fa6ca132f647b5b36c86e464e00e5ddbe225d"},"schema_version":"1.0","source":{"id":"1211.1210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1210","created_at":"2026-05-18T03:41:22Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1210v1","created_at":"2026-05-18T03:41:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1210","created_at":"2026-05-18T03:41:22Z"},{"alias_kind":"pith_short_12","alias_value":"NOVPKUAFJJ72","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NOVPKUAFJJ722MYD","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NOVPKUAF","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:4c67e13aa130173de81b72ecb3a4cfd54ef3f61eafd244912d26a70a08f8f875","target":"graph","created_at":"2026-05-18T03:41:22Z","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":"In his monograph Thermodynamics, I. M\\\"uller proves that for incompressible media the volume does not change with the temperature. This M\\\"uller paradox yields an incompatibility between experimental evidence and the entropy principle. This result has generated much debate within the mathematical and thermodynamical communities as to the basis of Boussinesq approximation in fluid dynamics. The aim of this paper is to prove that for an appropriate definition of incompressibility, as a limiting case of quasi thermal-incompressible body, the entropy principle holds for pressures smaller than a cr","authors_text":"Augusto Muracchini (CIRAM), Henri Gouin (M2P2), Tommaso Ruggeri (CIRAM)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-06T13:12:37Z","title":"On the M\\\"uller paradox for thermal-incompressible media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1210","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:e346f2ccbaa46f458fbe046b1d3a3ccc86306b4d7883ce4adfac5e737ddf3c63","target":"record","created_at":"2026-05-18T03:41:22Z","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":"480683e5df2cdf35ce18a3683b70bc234745eab01723119420e7fc5756f0f662","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-06T13:12:37Z","title_canon_sha256":"dede5104a9d4bdf54d8d45b2e74fa6ca132f647b5b36c86e464e00e5ddbe225d"},"schema_version":"1.0","source":{"id":"1211.1210","kind":"arxiv","version":1}},"canonical_sha256":"6baaf550054a7fad3303ba5ea6397756e531b5cc3796ae633373655afe4b5bcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6baaf550054a7fad3303ba5ea6397756e531b5cc3796ae633373655afe4b5bcc","first_computed_at":"2026-05-18T03:41:22.048206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:22.048206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kDkrEA2Zy1NX0/f7CPqNPtrTISzUXlq8zK/CfqB/U5/6z4ymsK7tjs5g71VyS/Uz4QGioPDosLzQ63XGm9dzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:22.048655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e346f2ccbaa46f458fbe046b1d3a3ccc86306b4d7883ce4adfac5e737ddf3c63","sha256:4c67e13aa130173de81b72ecb3a4cfd54ef3f61eafd244912d26a70a08f8f875"],"state_sha256":"d02051ab527f9710b7ee0433fec70b687a91070edfcc5c8c74375e3550a55d43"}