{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SOSUTI3BTLL2XW4WVY2G5ZR47S","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":"0d3effff24aa37b6ab4bd434750c4af7fb78279e509ee8911fc3780012f64023","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-08T14:13:04Z","title_canon_sha256":"330523c7a371a8ff34bcb78034e61c1789cea00a7b1d7d8ccb4e80f02a6ce8b0"},"schema_version":"1.0","source":{"id":"2407.05972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.05972","created_at":"2026-07-05T11:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"2407.05972v1","created_at":"2026-07-05T11:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.05972","created_at":"2026-07-05T11:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"SOSUTI3BTLL2","created_at":"2026-07-05T11:15:17Z"},{"alias_kind":"pith_short_16","alias_value":"SOSUTI3BTLL2XW4W","created_at":"2026-07-05T11:15:17Z"},{"alias_kind":"pith_short_8","alias_value":"SOSUTI3B","created_at":"2026-07-05T11:15:17Z"}],"graph_snapshots":[{"event_id":"sha256:7af3aad1041384f852a0f6672279e886630f53847b431e0664bb7388cddd6102","target":"graph","created_at":"2026-07-05T11:15:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.05972/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Carrollian fluid equations arise as the $c \\to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness theory for these equations does not appear to have been previously studied. This paper is the third in a series in which we initiate the systematic analysis of the Carrollian fluid equations. In the present work we prove the global-in-time existence of bounded entropy solutions to the isentropic Carrollian fluid equations in one spatial dimension for a particula","authors_text":"Grigalius Taujanskas, P. Marios Petropoulos, Simon Schulz","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-08T14:13:04Z","title":"One-Dimensional Carrollian Fluids III: Global Existence and Weak Continuity in $L^\\infty$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.05972","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":"sha256:4d662a66077c9b498d299d7f282f3fcac126dc1f6f44f65cd42471a74ca18342","target":"record","created_at":"2026-07-05T11:15:17Z","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":"0d3effff24aa37b6ab4bd434750c4af7fb78279e509ee8911fc3780012f64023","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-08T14:13:04Z","title_canon_sha256":"330523c7a371a8ff34bcb78034e61c1789cea00a7b1d7d8ccb4e80f02a6ce8b0"},"schema_version":"1.0","source":{"id":"2407.05972","kind":"arxiv","version":1}},"canonical_sha256":"93a549a3619ad7abdb96ae346ee63cfc899456e5cd7764f83eb837e54a92a61d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93a549a3619ad7abdb96ae346ee63cfc899456e5cd7764f83eb837e54a92a61d","first_computed_at":"2026-07-05T11:15:17.123628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:17.123628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pvybymT+rN0Pd12sUWJXgtJ2lgZeM5bytuk+lddE7Bve6UMS42IOocvd1HMmcbqcjSp/bze8wG89KMBXi96pCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:17.124142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.05972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d662a66077c9b498d299d7f282f3fcac126dc1f6f44f65cd42471a74ca18342","sha256:7af3aad1041384f852a0f6672279e886630f53847b431e0664bb7388cddd6102"],"state_sha256":"d110d1949c4fce35971cae37b225d9d954c664cb6c28092ec61380b225f745df"}