{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DFJOUDZZPXLBGXJH2C72GE5KRL","short_pith_number":"pith:DFJOUDZZ","schema_version":"1.0","canonical_sha256":"1952ea0f397dd6135d27d0bfa313aa8ac04f02bd0f1162fd9b108bbe6201962a","source":{"kind":"arxiv","id":"1510.07490","version":1},"attestation_state":"computed","paper":{"title":"Universality of isothermal fluid spheres in Lovelock gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naresh Dadhich, Sudan Hansraj, Sunil D. Maharaj","submitted_at":"2015-10-26T14:26:21Z","abstract_excerpt":"We show universality of isothermal fluid spheres in pure Lovelock gravity where the equation of motion has only one $N$th order term coming from the corresponding Lovelock polynomial action of degree $N$. Isothermality is characterized by the equation of state, $p = \\alpha \\rho$ and the property, $\\rho \\sim 1/r^{2N}$. Then the solution describing isothermal spheres, which exist only for the pure Lovelock equation, is of the same form for the general Lovelock degree $N$ in all dimenions $d \\geq 2N+2$. We further prove that the necessary and sufficient condition for the isothermal sphere is that"},"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":"1510.07490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-26T14:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"07d58b701c8c09074156bf4e13334b79eb41f293fc0ef7d8035aba5feedb8cbd","abstract_canon_sha256":"a41d822c9990b62ccb3facc4e167c40e50ff6d80e067ebc8eb833dde5e625287"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:29.094090Z","signature_b64":"sNYphX1PDNSdacXW7ODg86dFI1cmzKSA2b4Eax4DAoOtRr0B9O25WUau+12G2YAfBZOiofkKkKa8eHIYycK0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1952ea0f397dd6135d27d0bfa313aa8ac04f02bd0f1162fd9b108bbe6201962a","last_reissued_at":"2026-05-18T01:19:29.093432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:29.093432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality of isothermal fluid spheres in Lovelock gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naresh Dadhich, Sudan Hansraj, Sunil D. Maharaj","submitted_at":"2015-10-26T14:26:21Z","abstract_excerpt":"We show universality of isothermal fluid spheres in pure Lovelock gravity where the equation of motion has only one $N$th order term coming from the corresponding Lovelock polynomial action of degree $N$. Isothermality is characterized by the equation of state, $p = \\alpha \\rho$ and the property, $\\rho \\sim 1/r^{2N}$. Then the solution describing isothermal spheres, which exist only for the pure Lovelock equation, is of the same form for the general Lovelock degree $N$ in all dimenions $d \\geq 2N+2$. We further prove that the necessary and sufficient condition for the isothermal sphere is that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07490","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":""},"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":"1510.07490","created_at":"2026-05-18T01:19:29.093552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.07490v1","created_at":"2026-05-18T01:19:29.093552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07490","created_at":"2026-05-18T01:19:29.093552+00:00"},{"alias_kind":"pith_short_12","alias_value":"DFJOUDZZPXLB","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DFJOUDZZPXLBGXJH","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DFJOUDZZ","created_at":"2026-05-18T12:29:17.054201+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/DFJOUDZZPXLBGXJH2C72GE5KRL","json":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL.json","graph_json":"https://pith.science/api/pith-number/DFJOUDZZPXLBGXJH2C72GE5KRL/graph.json","events_json":"https://pith.science/api/pith-number/DFJOUDZZPXLBGXJH2C72GE5KRL/events.json","paper":"https://pith.science/paper/DFJOUDZZ"},"agent_actions":{"view_html":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL","download_json":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL.json","view_paper":"https://pith.science/paper/DFJOUDZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.07490&json=true","fetch_graph":"https://pith.science/api/pith-number/DFJOUDZZPXLBGXJH2C72GE5KRL/graph.json","fetch_events":"https://pith.science/api/pith-number/DFJOUDZZPXLBGXJH2C72GE5KRL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL/action/storage_attestation","attest_author":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL/action/author_attestation","sign_citation":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL/action/citation_signature","submit_replication":"https://pith.science/pith/DFJOUDZZPXLBGXJH2C72GE5KRL/action/replication_record"}},"created_at":"2026-05-18T01:19:29.093552+00:00","updated_at":"2026-05-18T01:19:29.093552+00:00"}