{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WLLZJM7AXT7RN6JJDMCLMBMUPG","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":"41741fa1c138bef885029511a732e50306d85c8c799fb7d46fc4e5aec7d8925e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-16T15:44:37Z","title_canon_sha256":"ab032a3e45c199e2802114a51b88b96675449f1e70dca44b37580940d8a898f6"},"schema_version":"1.0","source":{"id":"2410.12681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12681","created_at":"2026-07-05T09:21:32Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12681v1","created_at":"2026-07-05T09:21:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12681","created_at":"2026-07-05T09:21:32Z"},{"alias_kind":"pith_short_12","alias_value":"WLLZJM7AXT7R","created_at":"2026-07-05T09:21:32Z"},{"alias_kind":"pith_short_16","alias_value":"WLLZJM7AXT7RN6JJ","created_at":"2026-07-05T09:21:32Z"},{"alias_kind":"pith_short_8","alias_value":"WLLZJM7A","created_at":"2026-07-05T09:21:32Z"}],"graph_snapshots":[{"event_id":"sha256:e00d9d613c8a82664d50314eef11eddb768f2df3e1fd0354559d071fe658274d","target":"graph","created_at":"2026-07-05T09:21:32Z","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/2410.12681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a compactness result for solutions of a certain class of hypoelliptic equations. This result allows us to show the existence of global weak solutions to the non-homogeneous Landau-Fermi-Dirac equation with Coulomb potential.","authors_text":"Paulo Sampaio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-16T15:44:37Z","title":"Global solutions to the Landau-Fermi-Dirac equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12681","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":"sha256:60aee3d5a2eb3f28b879f3521704b61b896e916b86845fe3394ba1a15b53786a","target":"record","created_at":"2026-07-05T09:21:32Z","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":"41741fa1c138bef885029511a732e50306d85c8c799fb7d46fc4e5aec7d8925e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-16T15:44:37Z","title_canon_sha256":"ab032a3e45c199e2802114a51b88b96675449f1e70dca44b37580940d8a898f6"},"schema_version":"1.0","source":{"id":"2410.12681","kind":"arxiv","version":1}},"canonical_sha256":"b2d794b3e0bcff16f9291b04b6059479b3712287cf97c234b5ffe1cbfc0f55cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2d794b3e0bcff16f9291b04b6059479b3712287cf97c234b5ffe1cbfc0f55cc","first_computed_at":"2026-07-05T09:21:32.403751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:21:32.403751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9YBXE7N3xgDj5VE1V6R26nwaovrkcDJ/U+YpYwXSf9Rswk81EYmExyHaooKAZAoDHd5r4H/RMrVId4MFYlCvBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:21:32.404150Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.12681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60aee3d5a2eb3f28b879f3521704b61b896e916b86845fe3394ba1a15b53786a","sha256:e00d9d613c8a82664d50314eef11eddb768f2df3e1fd0354559d071fe658274d"],"state_sha256":"6b95e8bb09d366c45ac7e13cb113f7f853e45d3fce4691821429645e90235f85"}