{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RBLK7ZXE32CKTGGIXE5RHYHLSF","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":"8a77bc8c6a492833148bda3c4a412294069957062e2df553f21fca5e221539a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-11T11:17:02Z","title_canon_sha256":"34f2050ab568348d6ccc6524057d8f5e7e39f6d5d5bf7254bd2114dd005ee121"},"schema_version":"1.0","source":{"id":"2112.05954","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.05954","created_at":"2026-07-05T04:09:42Z"},{"alias_kind":"arxiv_version","alias_value":"2112.05954v2","created_at":"2026-07-05T04:09:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.05954","created_at":"2026-07-05T04:09:42Z"},{"alias_kind":"pith_short_12","alias_value":"RBLK7ZXE32CK","created_at":"2026-07-05T04:09:42Z"},{"alias_kind":"pith_short_16","alias_value":"RBLK7ZXE32CKTGGI","created_at":"2026-07-05T04:09:42Z"},{"alias_kind":"pith_short_8","alias_value":"RBLK7ZXE","created_at":"2026-07-05T04:09:42Z"}],"graph_snapshots":[{"event_id":"sha256:5e30f79c604b3e48c71096827c3a57031417ec7f5e9dbef15ea3e4abd6585885","target":"graph","created_at":"2026-07-05T04:09:42Z","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/2112.05954/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an effective superpotential formalism for the SU(2)$\\times$U(1) invariant sector of $\\mathcal{N}=2$ gauged supergravity in five dimensions with a U(1)$^3$ Fayet-Iliopoulos gauging, and determine the exact superpotential that describes all 1/4 BPS solutions in this sector. This includes the Gutowski-Reall black holes, but also a much broader class of solutions with a squashed $S^3$, magnetic flux and vector multiplet sources, as well as complex Euclidean BPS saddles. Some of these solutions are known only numerically, but the exact superpotential allows us to analytically evaluate th","authors_text":"Ioannis Papadimitriou, Praxitelis Ntokos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-11T11:17:02Z","title":"Black hole superpotential as a unifying entropy function and BPS thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.05954","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:d1711df9c19b6d0c668555a5d2c80cb854a3d03849f997f2b993b63e053ce60e","target":"record","created_at":"2026-07-05T04:09:42Z","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":"8a77bc8c6a492833148bda3c4a412294069957062e2df553f21fca5e221539a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-11T11:17:02Z","title_canon_sha256":"34f2050ab568348d6ccc6524057d8f5e7e39f6d5d5bf7254bd2114dd005ee121"},"schema_version":"1.0","source":{"id":"2112.05954","kind":"arxiv","version":2}},"canonical_sha256":"8856afe6e4de84a998c8b93b13e0eb9165c880b7382f8bf96674689541f0c20f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8856afe6e4de84a998c8b93b13e0eb9165c880b7382f8bf96674689541f0c20f","first_computed_at":"2026-07-05T04:09:42.317063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:09:42.317063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RwMoMsgVBvACECE526VZsanWHVWrQK2ZXZ8NVV0a4CrTdWqEgKLuNi8FVoFWvI/Fn7Tz9hSbcs/h3LXmdHqRAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:09:42.317655Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.05954","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1711df9c19b6d0c668555a5d2c80cb854a3d03849f997f2b993b63e053ce60e","sha256:5e30f79c604b3e48c71096827c3a57031417ec7f5e9dbef15ea3e4abd6585885"],"state_sha256":"0ef5557b4fdb4b7a79993b86719a1f8fefe6d983cab6eda81c8e7ae18832ceff"}