{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MBQEJAZRHUAAFRBYQBR4J3OFAR","short_pith_number":"pith:MBQEJAZR","schema_version":"1.0","canonical_sha256":"60604483313d0002c4388063c4edc50473a72aa78a2f28b4d45fcd5f0bae2026","source":{"kind":"arxiv","id":"1805.05088","version":3},"attestation_state":"computed","paper":{"title":"A Note on Circular Geodesics and Phase Transitions of Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Chandrasekhar Bhamidipati, Shrohan Mohapatra","submitted_at":"2018-05-14T09:48:46Z","abstract_excerpt":"The circular motion of charged test particles in the gravitational field of a Reissner-Nordstr\\\"{o}m black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant $\\Lambda= -3/l^2$ of the space-time, and charge to mass ratio $\\epsilon=q/m$ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, $M=4/\\sqrt{6} Q$ and $l=6 Q$. Thermodynamically, these values are known to occur when "},"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":"1805.05088","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-14T09:48:46Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e16522f67734d6d6e48000b69c90ddde46b988519dd3151e5b88040b85c02e1d","abstract_canon_sha256":"4b64d8009f7e50d79c2777414cbf5faadb5ba02c00730f5c950f06e37fb881de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:44.202848Z","signature_b64":"zfTwTofPCrDZ9AvI+3obqUcxyC/asZNHX0pwKPOag7Y46PPhd05GzYuzjOwZ4A2t+FeCHv/YgGoOiDc5Y6MmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60604483313d0002c4388063c4edc50473a72aa78a2f28b4d45fcd5f0bae2026","last_reissued_at":"2026-05-17T23:51:44.202389Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:44.202389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on Circular Geodesics and Phase Transitions of Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Chandrasekhar Bhamidipati, Shrohan Mohapatra","submitted_at":"2018-05-14T09:48:46Z","abstract_excerpt":"The circular motion of charged test particles in the gravitational field of a Reissner-Nordstr\\\"{o}m black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant $\\Lambda= -3/l^2$ of the space-time, and charge to mass ratio $\\epsilon=q/m$ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, $M=4/\\sqrt{6} Q$ and $l=6 Q$. Thermodynamically, these values are known to occur when "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05088","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":"1805.05088","created_at":"2026-05-17T23:51:44.202467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.05088v3","created_at":"2026-05-17T23:51:44.202467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05088","created_at":"2026-05-17T23:51:44.202467+00:00"},{"alias_kind":"pith_short_12","alias_value":"MBQEJAZRHUAA","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"MBQEJAZRHUAAFRBY","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"MBQEJAZR","created_at":"2026-05-18T12:32:37.024351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2404.07980","citing_title":"ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity","ref_index":83,"is_internal_anchor":true},{"citing_arxiv_id":"2509.04261","citing_title":"Topological charge and black hole photon spheres in massive gravity","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR","json":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR.json","graph_json":"https://pith.science/api/pith-number/MBQEJAZRHUAAFRBYQBR4J3OFAR/graph.json","events_json":"https://pith.science/api/pith-number/MBQEJAZRHUAAFRBYQBR4J3OFAR/events.json","paper":"https://pith.science/paper/MBQEJAZR"},"agent_actions":{"view_html":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR","download_json":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR.json","view_paper":"https://pith.science/paper/MBQEJAZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.05088&json=true","fetch_graph":"https://pith.science/api/pith-number/MBQEJAZRHUAAFRBYQBR4J3OFAR/graph.json","fetch_events":"https://pith.science/api/pith-number/MBQEJAZRHUAAFRBYQBR4J3OFAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR/action/storage_attestation","attest_author":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR/action/author_attestation","sign_citation":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR/action/citation_signature","submit_replication":"https://pith.science/pith/MBQEJAZRHUAAFRBYQBR4J3OFAR/action/replication_record"}},"created_at":"2026-05-17T23:51:44.202467+00:00","updated_at":"2026-05-17T23:51:44.202467+00:00"}