{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:J3E5GEDW25DU3YC3WLFSNN23FJ","short_pith_number":"pith:J3E5GEDW","schema_version":"1.0","canonical_sha256":"4ec9d31076d7474de05bb2cb26b75b2a447ec36c45940a9b3522615422cc02cf","source":{"kind":"arxiv","id":"hep-th/0701214","version":3},"attestation_state":"computed","paper":{"title":"Twistors and Black Holes","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Boris Pioline, Stefan Vandoren","submitted_at":"2007-01-23T13:25:38Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0701214","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-23T13:25:38Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"ce51261d2aef0a8a10bbd9baebbdbebbc26428618ae6bd360498b880b8195884","abstract_canon_sha256":"950fbc20229a89d4b6bad446b930be7cddf3825f121b2309d1e16cfc7f949d7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:25.091922Z","signature_b64":"6QBX6wMZwbw2u2qFtZKvC2DZjzFPWPC8Hwq3kE+JfO+m/4gRpbIWTHqyGukNANgsgHEV9nCMFuD+yA1dXFnJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ec9d31076d7474de05bb2cb26b75b2a447ec36c45940a9b3522615422cc02cf","last_reissued_at":"2026-05-18T04:38:25.091475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:25.091475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twistors and Black Holes","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Boris Pioline, Stefan Vandoren","submitted_at":"2007-01-23T13:25:38Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701214","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701214","created_at":"2026-05-18T04:38:25.091537+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701214v3","created_at":"2026-05-18T04:38:25.091537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701214","created_at":"2026-05-18T04:38:25.091537+00:00"},{"alias_kind":"pith_short_12","alias_value":"J3E5GEDW25DU","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"J3E5GEDW25DU3YC3","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"J3E5GEDW","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ","json":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ.json","graph_json":"https://pith.science/api/pith-number/J3E5GEDW25DU3YC3WLFSNN23FJ/graph.json","events_json":"https://pith.science/api/pith-number/J3E5GEDW25DU3YC3WLFSNN23FJ/events.json","paper":"https://pith.science/paper/J3E5GEDW"},"agent_actions":{"view_html":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ","download_json":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ.json","view_paper":"https://pith.science/paper/J3E5GEDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0701214&json=true","fetch_graph":"https://pith.science/api/pith-number/J3E5GEDW25DU3YC3WLFSNN23FJ/graph.json","fetch_events":"https://pith.science/api/pith-number/J3E5GEDW25DU3YC3WLFSNN23FJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ/action/storage_attestation","attest_author":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ/action/author_attestation","sign_citation":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ/action/citation_signature","submit_replication":"https://pith.science/pith/J3E5GEDW25DU3YC3WLFSNN23FJ/action/replication_record"}},"created_at":"2026-05-18T04:38:25.091537+00:00","updated_at":"2026-05-18T04:38:25.091537+00:00"}