{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QEQHJWKWNYZEU2ACPVBI5ZDO6X","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":"e33b219e1de3828374f27d251e0c480eaae2b7973ad516313904ece4872cb79c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-23T10:19:57Z","title_canon_sha256":"65d60d8dd12d7ff0d8757234824f183c264879be0451e669e235d84f28c8e8ae"},"schema_version":"1.0","source":{"id":"1603.07118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07118","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07118v1","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07118","created_at":"2026-05-18T01:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"QEQHJWKWNYZE","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QEQHJWKWNYZEU2AC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QEQHJWKW","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2c9f11452cb47f4249805937b9caa4494128d5c75f4e8217289493e363c98bdb","target":"graph","created_at":"2026-05-18T01:03:50Z","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":"We obtain higher dimensional solutions for super compact star for the Buchdahl-Vaidya-Tikekar metric ansatz. In particular, Vaidya and Tikekar characterized the $3$-geometry by a parameter, $K$ which is related to the sign of density gradient. It turns out that the key pressure isotropy equation continues to have the same Gauss form, and hence $4$-dimensional solutions can be taken over to higher dimensions with $K$ satisfying the relation, $K_n = (K_4-n+4)/(n-3)$ where subscript refers to dimension of spacetime. Further $K\\geq0$ is required else density would have undesirable feature of incre","authors_text":"Alfred Molina, Avas Khugaev, Naresh Dadhich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-23T10:19:57Z","title":"Higher dimensional generalization of Buchdahl-Vaidya-Tikekar model for super compact star"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07118","kind":"arxiv","version":1},"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":"sha256:92032b375de09cb00f8f1564db823b7675b91db06c6b2a5d3d5bf7773508e1e4","target":"record","created_at":"2026-05-18T01:03:50Z","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":"e33b219e1de3828374f27d251e0c480eaae2b7973ad516313904ece4872cb79c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-23T10:19:57Z","title_canon_sha256":"65d60d8dd12d7ff0d8757234824f183c264879be0451e669e235d84f28c8e8ae"},"schema_version":"1.0","source":{"id":"1603.07118","kind":"arxiv","version":1}},"canonical_sha256":"812074d9566e324a68027d428ee46ef5c791c767884ea7ae2b67f05de0f3946f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"812074d9566e324a68027d428ee46ef5c791c767884ea7ae2b67f05de0f3946f","first_computed_at":"2026-05-18T01:03:50.268287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:50.268287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XWjngutOSFfJGalQ4GxXfFGxIsxh2SA0aqA/D7zC81quNGJTcPAUV2//SB99wnSeXWyjx2DcTfo2gOLkLPmIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:50.268904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92032b375de09cb00f8f1564db823b7675b91db06c6b2a5d3d5bf7773508e1e4","sha256:2c9f11452cb47f4249805937b9caa4494128d5c75f4e8217289493e363c98bdb"],"state_sha256":"d655f010edb7a38706ca7c93d2b98023de0cc6c00f5811c31d2908854d6f7e22"}