{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3FUC364FN5TYC7TRP6ODJOHIXX","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":"f78e973dfc947b48d1e9fea72ae03f224f07891c5bad98f4a8d292d03a2923cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-10-20T20:21:03Z","title_canon_sha256":"4b296896df7371f10ffb93c8429a9e32d858b6946994144885201becab1561c6"},"schema_version":"1.0","source":{"id":"0910.3956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3956","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3956v2","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3956","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"3FUC364FN5TY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3FUC364FN5TYC7TR","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3FUC364F","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:2f5fef5b98e03f85b696207654785e28c5d03b0aa4748a63a854947b3083b373","target":"graph","created_at":"2026-05-18T03:46:32Z","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"},"paper":{"abstract_excerpt":"We show that weak solutions of the relativistic Vlasov-Maxwell system preserve the total energy provided that the electromagnetic field is locally of bounded variation and, for any $\\lambda$> 0, the one-particle distribution function has a square integrable $\\lambda$-moment in the momentum variable.","authors_text":"Reinel Sospedra-Alfonso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-10-20T20:21:03Z","title":"On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3956","kind":"arxiv","version":2},"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":"sha256:3c51fecf351584d107b321e140b8f4c89d7b25d70b5f4963b41eb28c83a6c2a4","target":"record","created_at":"2026-05-18T03:46:32Z","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":"f78e973dfc947b48d1e9fea72ae03f224f07891c5bad98f4a8d292d03a2923cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-10-20T20:21:03Z","title_canon_sha256":"4b296896df7371f10ffb93c8429a9e32d858b6946994144885201becab1561c6"},"schema_version":"1.0","source":{"id":"0910.3956","kind":"arxiv","version":2}},"canonical_sha256":"d9682dfb856f67817e717f9c34b8e8bdeb40f08ff466dee8c4283d6ba1844f49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9682dfb856f67817e717f9c34b8e8bdeb40f08ff466dee8c4283d6ba1844f49","first_computed_at":"2026-05-18T03:46:32.144962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:32.144962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/EOpO4kkAEx9TGDIq2hEEsWqP9jtKmSHYZVF/cDuTQ+N6MqEoeqq1rYZA5qe+W0pLghGQRaiohmKPpjNN0XVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:32.145768Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.3956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c51fecf351584d107b321e140b8f4c89d7b25d70b5f4963b41eb28c83a6c2a4","sha256:2f5fef5b98e03f85b696207654785e28c5d03b0aa4748a63a854947b3083b373"],"state_sha256":"4e76c219031e370ca773b78530a7ccb883e645d71433e654a8cf5e89c1f25306"}