{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GCFP75CVGJBXB3WWGNFVO4C4RA","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":"de8c41081db1f674ab90613ed6f97ecdaa003d3d572d6753b43838cd71f167e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-02-24T11:55:39Z","title_canon_sha256":"6407e70e287b3cd21b026b9433dabc8314f41e607d08f3fc0a45fc3280a8cade"},"schema_version":"1.0","source":{"id":"1402.5804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5804","created_at":"2026-05-18T01:44:29Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5804v1","created_at":"2026-05-18T01:44:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5804","created_at":"2026-05-18T01:44:29Z"},{"alias_kind":"pith_short_12","alias_value":"GCFP75CVGJBX","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GCFP75CVGJBXB3WW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GCFP75CV","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:771d66f99bfc8ba962f1e83a44562a76e293b72c75c2b4ff803dbb59a57a6891","target":"graph","created_at":"2026-05-18T01:44:29Z","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 this paper a symplectic realization for the Maxwell-Bloch equations with the rotating wave approximation is given, which also leads to a Lagrangian formulation. We show how Lie point symmetries generate a third constant of motion for the considered dynamical system.","authors_text":"Ioan Casu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-02-24T11:55:39Z","title":"Symmetries of the Maxwell-Bloch equations with the rotating wave approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5804","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:e90e665bf45ca4794674bc50ae50cb0c5a43c9e3a87f19f4a957f91bde759b1e","target":"record","created_at":"2026-05-18T01:44:29Z","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":"de8c41081db1f674ab90613ed6f97ecdaa003d3d572d6753b43838cd71f167e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-02-24T11:55:39Z","title_canon_sha256":"6407e70e287b3cd21b026b9433dabc8314f41e607d08f3fc0a45fc3280a8cade"},"schema_version":"1.0","source":{"id":"1402.5804","kind":"arxiv","version":1}},"canonical_sha256":"308afff455324370eed6334b57705c880d677dd54eea8396055efe29501e7b37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"308afff455324370eed6334b57705c880d677dd54eea8396055efe29501e7b37","first_computed_at":"2026-05-18T01:44:29.086004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:29.086004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGWwj3Xqc+t54rsC3VOGRajqEj4xABUKA/g2sdhTaWasye4kBdbMErjO2TjFzzRVf1UC3Mp8DkSWkY9HdGskAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:29.086413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e90e665bf45ca4794674bc50ae50cb0c5a43c9e3a87f19f4a957f91bde759b1e","sha256:771d66f99bfc8ba962f1e83a44562a76e293b72c75c2b4ff803dbb59a57a6891"],"state_sha256":"a133fd1e8b245db33267a58924fa34d52b23057fab199c31f14e9f6e59062d45"}