{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:ZPTXZHNDAK2U6JUJXL7VCT2QN3","short_pith_number":"pith:ZPTXZHND","schema_version":"1.0","canonical_sha256":"cbe77c9da302b54f2689baff514f506ed5036077a3ef80d00c7c85f98323b765","source":{"kind":"arxiv","id":"hep-th/0208031","version":1},"attestation_state":"computed","paper":{"title":"Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.N. Pope, G.W. Gibbons, S.A. Hartnoll","submitted_at":"2002-08-05T16:02:32Z","abstract_excerpt":"We study physical applications of the Bohm metrics, which are infinite sequences of inhomogeneous Einstein metrics on spheres and products of spheres of dimension 5 <= d <= 9. We prove that all the Bohm metrics on S^3 x S^2 and S^3 x S^3 have negative eigenvalue modes of the Lichnerowicz operator and by numerical methods we establish that Bohm metrics on S^5 have negative eigenvalues too. We argue that all the Bohm metrics will have negative modes. These results imply that higher-dimensional black-hole spacetimes where the Bohm metric replaces the usual round sphere metric are classically unst"},"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/0208031","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-08-05T16:02:32Z","cross_cats_sorted":[],"title_canon_sha256":"96cc76416af3d3dc4e0e80067abafb4d590b57b95544afb7e2171e083b4103b2","abstract_canon_sha256":"b5aac88555d84f8f7d3cd0e59878b6d90a14a1761ae2ce145884bcad282227a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:49.511098Z","signature_b64":"GIuaqdqettRtBeDPH7sn9Q0ax5zhZNX9GzyztNx0QX5eIytROa8g6Xu2tXzeYevH8LcaziHpx0JhgzpH/s5ICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbe77c9da302b54f2689baff514f506ed5036077a3ef80d00c7c85f98323b765","last_reissued_at":"2026-07-04T15:53:49.510650Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:49.510650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.N. Pope, G.W. Gibbons, S.A. Hartnoll","submitted_at":"2002-08-05T16:02:32Z","abstract_excerpt":"We study physical applications of the Bohm metrics, which are infinite sequences of inhomogeneous Einstein metrics on spheres and products of spheres of dimension 5 <= d <= 9. We prove that all the Bohm metrics on S^3 x S^2 and S^3 x S^3 have negative eigenvalue modes of the Lichnerowicz operator and by numerical methods we establish that Bohm metrics on S^5 have negative eigenvalues too. We argue that all the Bohm metrics will have negative modes. These results imply that higher-dimensional black-hole spacetimes where the Bohm metric replaces the usual round sphere metric are classically unst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0208031","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0208031/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/0208031","created_at":"2026-07-04T15:53:49.510706+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0208031v1","created_at":"2026-07-04T15:53:49.510706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0208031","created_at":"2026-07-04T15:53:49.510706+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZPTXZHNDAK2U","created_at":"2026-07-04T15:53:49.510706+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZPTXZHNDAK2U6JUJ","created_at":"2026-07-04T15:53:49.510706+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZPTXZHND","created_at":"2026-07-04T15:53:49.510706+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.07710","citing_title":"Kaluza-Klein Supergravity 2025","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3","json":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3.json","graph_json":"https://pith.science/api/pith-number/ZPTXZHNDAK2U6JUJXL7VCT2QN3/graph.json","events_json":"https://pith.science/api/pith-number/ZPTXZHNDAK2U6JUJXL7VCT2QN3/events.json","paper":"https://pith.science/paper/ZPTXZHND"},"agent_actions":{"view_html":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3","download_json":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3.json","view_paper":"https://pith.science/paper/ZPTXZHND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0208031&json=true","fetch_graph":"https://pith.science/api/pith-number/ZPTXZHNDAK2U6JUJXL7VCT2QN3/graph.json","fetch_events":"https://pith.science/api/pith-number/ZPTXZHNDAK2U6JUJXL7VCT2QN3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3/action/storage_attestation","attest_author":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3/action/author_attestation","sign_citation":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3/action/citation_signature","submit_replication":"https://pith.science/pith/ZPTXZHNDAK2U6JUJXL7VCT2QN3/action/replication_record"}},"created_at":"2026-07-04T15:53:49.510706+00:00","updated_at":"2026-07-04T15:53:49.510706+00:00"}