{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7FFOXDCO7AU2U25MGCZCI6ALDU","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":"97caf646b9a1e624728243f0059b7c57699f66d0d4899e2b31a8b533fc2dd664","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-05-10T10:35:15Z","title_canon_sha256":"12456507c06e71a963bb783be82d4c9c919e33969302a0064a750fdcb4373003"},"schema_version":"1.0","source":{"id":"2305.06034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.06034","created_at":"2026-07-05T06:08:58Z"},{"alias_kind":"arxiv_version","alias_value":"2305.06034v1","created_at":"2026-07-05T06:08:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.06034","created_at":"2026-07-05T06:08:58Z"},{"alias_kind":"pith_short_12","alias_value":"7FFOXDCO7AU2","created_at":"2026-07-05T06:08:58Z"},{"alias_kind":"pith_short_16","alias_value":"7FFOXDCO7AU2U25M","created_at":"2026-07-05T06:08:58Z"},{"alias_kind":"pith_short_8","alias_value":"7FFOXDCO","created_at":"2026-07-05T06:08:58Z"}],"graph_snapshots":[{"event_id":"sha256:de471146776b753c4100c69b4424399cf9540657ddcf42e0dde82e7db191550a","target":"graph","created_at":"2026-07-05T06:08:58Z","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/2305.06034/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Hodge dual operator, recently introduced for supermanifolds, is used to reformulate super Yang-Mills and supergravity in $D=4$. We first recall the definition of the Hodge dual operator for flat and curved supermanifolds. Then we show how to recover the usual super-Yang-Mills equations of motion for $N=1,2$ supersymmetry, and the obstacles (as seen from Hodge dual point of view) in the case $N \\geq 3$. We reconsider several ingredients of supergeometry, relevant for a superspace formulation of supergravity, in terms of the Hodge dual operator. Finally we discuss how $D=4$ and $N=1$ supergr","authors_text":"Leonardo Castellani, Pietro Antonio Grassi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-05-10T10:35:15Z","title":"Hodge Duality and Supergravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.06034","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:ca0d7e867ca52d9a7333016ef7b0db45dfadab30eaad056b80afd7863ccfae59","target":"record","created_at":"2026-07-05T06:08:58Z","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":"97caf646b9a1e624728243f0059b7c57699f66d0d4899e2b31a8b533fc2dd664","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-05-10T10:35:15Z","title_canon_sha256":"12456507c06e71a963bb783be82d4c9c919e33969302a0064a750fdcb4373003"},"schema_version":"1.0","source":{"id":"2305.06034","kind":"arxiv","version":1}},"canonical_sha256":"f94aeb8c4ef829aa6bac30b224780b1d13d942a9240c0c6d616c77b56284ea35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f94aeb8c4ef829aa6bac30b224780b1d13d942a9240c0c6d616c77b56284ea35","first_computed_at":"2026-07-05T06:08:58.909721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:08:58.909721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wpih/Ey8kSy0LB9n7iioGbAjH1I20J6e6c4IfnUcx0FxhEmMnWaQWjipcCebkEn+BRar9JBD195jb8KLZxsPDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:08:58.910130Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.06034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca0d7e867ca52d9a7333016ef7b0db45dfadab30eaad056b80afd7863ccfae59","sha256:de471146776b753c4100c69b4424399cf9540657ddcf42e0dde82e7db191550a"],"state_sha256":"575bc6abe1f7bd82011be7470f21d470c5307ab285151d2dae6bd6777bd746c9"}