{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JZ27VJNQA6CWQMHKX4R5OKG5D7","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":"b2b59f1495384a39e9efcd298492f26bda2e47a556118ad050999b7a91eed366","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-26T19:28:32Z","title_canon_sha256":"fd9c9c7556f0697e400e456a844e665c4ed164f28a4ad7d0f6a3aadfd0b07ac5"},"schema_version":"1.0","source":{"id":"2312.16308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.16308","created_at":"2026-07-05T07:38:33Z"},{"alias_kind":"arxiv_version","alias_value":"2312.16308v2","created_at":"2026-07-05T07:38:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.16308","created_at":"2026-07-05T07:38:33Z"},{"alias_kind":"pith_short_12","alias_value":"JZ27VJNQA6CW","created_at":"2026-07-05T07:38:33Z"},{"alias_kind":"pith_short_16","alias_value":"JZ27VJNQA6CWQMHK","created_at":"2026-07-05T07:38:33Z"},{"alias_kind":"pith_short_8","alias_value":"JZ27VJNQ","created_at":"2026-07-05T07:38:33Z"}],"graph_snapshots":[{"event_id":"sha256:a6e23a06601853889797e137d4adedad1df7d65114c464731f29c59c23f628b2","target":"graph","created_at":"2026-07-05T07:38:33Z","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/2312.16308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define the gauge potentials of Poisson electrodynamics as sections of a symplectic realization of the spacetime manifold and infinitesimal gauge transformations as a representation of the associated Lie algebroid acting on the symplectic realization. Finite gauge transformations are obtained by integrating the sections of the Lie algebroid to bisections of a symplectic groupoid, which form a one-parameter group of transformations, whose action on the fields of the theory is realized in terms of an action groupoid. A covariant electromagnetic two-form is obtained, together with a dual two-fo","authors_text":"Alberto Ibort, Fabio Di Cosmo, Giuseppe Marmo, Patrizia Vitale","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-26T19:28:32Z","title":"Symplectic realizations and Lie groupoids in Poisson Electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.16308","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:d05420f2076d906d54379837d9cb261bea6f91a43dd5612920f543dcb676a584","target":"record","created_at":"2026-07-05T07:38:33Z","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":"b2b59f1495384a39e9efcd298492f26bda2e47a556118ad050999b7a91eed366","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-26T19:28:32Z","title_canon_sha256":"fd9c9c7556f0697e400e456a844e665c4ed164f28a4ad7d0f6a3aadfd0b07ac5"},"schema_version":"1.0","source":{"id":"2312.16308","kind":"arxiv","version":2}},"canonical_sha256":"4e75faa5b007856830eabf23d728dd1fd263ebded9ff452460a8868eb8a8b120","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e75faa5b007856830eabf23d728dd1fd263ebded9ff452460a8868eb8a8b120","first_computed_at":"2026-07-05T07:38:33.553300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:38:33.553300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Os6++1R1R21iMY6UdZorNFviuMwuGGu0m/zCNf/jgJfdup2KeLUAODeUFWBUtENOcWJXiXSyqNRFLPvuqopJDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:38:33.553907Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.16308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d05420f2076d906d54379837d9cb261bea6f91a43dd5612920f543dcb676a584","sha256:a6e23a06601853889797e137d4adedad1df7d65114c464731f29c59c23f628b2"],"state_sha256":"b53785c8b70e6b32136ee975474ae8e8bd9ee69909724e6ba2c434325db3aada"}