{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:J3E5GEDW25DU3YC3WLFSNN23FJ","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":"950fbc20229a89d4b6bad446b930be7cddf3825f121b2309d1e16cfc7f949d7c","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-23T13:25:38Z","title_canon_sha256":"ce51261d2aef0a8a10bbd9baebbdbebbc26428618ae6bd360498b880b8195884"},"schema_version":"1.0","source":{"id":"hep-th/0701214","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701214","created_at":"2026-05-18T04:38:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701214v3","created_at":"2026-05-18T04:38:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701214","created_at":"2026-05-18T04:38:25Z"},{"alias_kind":"pith_short_12","alias_value":"J3E5GEDW25DU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"J3E5GEDW25DU3YC3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"J3E5GEDW","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:94fcf791cd97a218318f742580acbb96ce9bbd8aef0d2775498083d471dfaea6","target":"graph","created_at":"2026-05-18T04:38:25Z","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":"Motivated by black hole physics in N=2, D=4 supergravity, we study the geometry of quaternionic-Kahler manifolds M obtained by the c-map construction from projective special Kahler manifolds M_s. Improving on earlier treatments, we compute the Kahler potentials on the twistor space Z and Swann space S in the complex coordinates adapted to the Heisenberg symmetries. The results bear a simple relation to the Hesse potential \\Sigma of the special Kahler manifold M_s, and hence to the Bekenstein-Hawking entropy for BPS black holes. We explicitly construct the ``covariant c-map'' and the ``twistor ","authors_text":"Andrew Neitzke, Boris Pioline, Stefan Vandoren","cross_cats":["math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-01-23T13:25:38Z","title":"Twistors and Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701214","kind":"arxiv","version":3},"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":"sha256:4620c6f8f8d3af46e6e7f87a9b60ab0de5714569fa1b42844dfc8d39031d811b","target":"record","created_at":"2026-05-18T04:38:25Z","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":"950fbc20229a89d4b6bad446b930be7cddf3825f121b2309d1e16cfc7f949d7c","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-23T13:25:38Z","title_canon_sha256":"ce51261d2aef0a8a10bbd9baebbdbebbc26428618ae6bd360498b880b8195884"},"schema_version":"1.0","source":{"id":"hep-th/0701214","kind":"arxiv","version":3}},"canonical_sha256":"4ec9d31076d7474de05bb2cb26b75b2a447ec36c45940a9b3522615422cc02cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ec9d31076d7474de05bb2cb26b75b2a447ec36c45940a9b3522615422cc02cf","first_computed_at":"2026-05-18T04:38:25.091475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:25.091475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6QBX6wMZwbw2u2qFtZKvC2DZjzFPWPC8Hwq3kE+JfO+m/4gRpbIWTHqyGukNANgsgHEV9nCMFuD+yA1dXFnJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:25.091922Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0701214","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4620c6f8f8d3af46e6e7f87a9b60ab0de5714569fa1b42844dfc8d39031d811b","sha256:94fcf791cd97a218318f742580acbb96ce9bbd8aef0d2775498083d471dfaea6"],"state_sha256":"dea73886c889417a6e1b742e27f5ac1d7fe68263874d498569393a23d3b552f6"}