{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3J5BDP6SGR7JCYURGZA5R2S75O","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":"8c3ab16ed542109b9b0c91ff0d5a0f19af03f44fa46ab690dbff330a959a7749","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T18:01:02Z","title_canon_sha256":"c7142fe5b037b07ceca222929f02d41bc55387ee1edfe3327740124ceb1b0604"},"schema_version":"1.0","source":{"id":"2407.02577","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02577","created_at":"2026-07-05T09:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02577v2","created_at":"2026-07-05T09:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02577","created_at":"2026-07-05T09:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"3J5BDP6SGR7J","created_at":"2026-07-05T09:07:29Z"},{"alias_kind":"pith_short_16","alias_value":"3J5BDP6SGR7JCYUR","created_at":"2026-07-05T09:07:29Z"},{"alias_kind":"pith_short_8","alias_value":"3J5BDP6S","created_at":"2026-07-05T09:07:29Z"}],"graph_snapshots":[{"event_id":"sha256:c0225bb285c2eb1fe11e32138cf985453a44a103b2705ee34aa5b9a6d3698604","target":"graph","created_at":"2026-07-05T09:07:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.02577/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For any causal nonlinear electrodynamics theory that is \"self-dual\" (electromagnetic $U(1)$-duality invariant), the Legendre-dual pair of Lagrangian and Hamiltonian densities $\\{\\mathcal{L},\\mathcal{H}\\}$ are constructed from functions $\\{\\ell,h\\}$ on ${\\bf R}^+$ related to a particle-mechanics Lagrangian and Hamiltonian. We show how a `duality' relating $\\ell$ to $h$ implies that $\\mathcal{L}$ and $\\mathcal{H}$ are related by a simple map between appropriate pairs of variables. We also discuss Born's \"Legendre self-duality\" and implications of a new \"$\\Phi$-parity\" duality. Our results are il","authors_text":"Jorge G. Russo, Paul K. Townsend","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T18:01:02Z","title":"Dualities of Self-Dual Nonlinear Electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02577","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":"sha256:0bd5cf9b8adb2c9e2d57d190a488dbfe9c1243b0ab540aff780aaffa7fc3f9cc","target":"record","created_at":"2026-07-05T09:07:29Z","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":"8c3ab16ed542109b9b0c91ff0d5a0f19af03f44fa46ab690dbff330a959a7749","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T18:01:02Z","title_canon_sha256":"c7142fe5b037b07ceca222929f02d41bc55387ee1edfe3327740124ceb1b0604"},"schema_version":"1.0","source":{"id":"2407.02577","kind":"arxiv","version":2}},"canonical_sha256":"da7a11bfd2347e9162913641d8ea5feb9ab22d6ea7ddd0b889179830f9111071","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da7a11bfd2347e9162913641d8ea5feb9ab22d6ea7ddd0b889179830f9111071","first_computed_at":"2026-07-05T09:07:29.910674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:07:29.910674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zEKmVZwGRvx9rGjAJq+49xEGFspidfSuq+tTuC+UVDsq4/94VtQo5Pj28y4EWzBclxDNTJjAz1VimRlhSQW9Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:07:29.911171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02577","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bd5cf9b8adb2c9e2d57d190a488dbfe9c1243b0ab540aff780aaffa7fc3f9cc","sha256:c0225bb285c2eb1fe11e32138cf985453a44a103b2705ee34aa5b9a6d3698604"],"state_sha256":"f64796367aa07ab9913b8a6e88c816090be93bb21953161bbd72433447163c65"}