{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HJGNA7JJMCOG6WQJL73ZTX3JW4","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":"c275012012a6ef90bbbb7428b47bffe4faa96c522fcb57e42dd3977f6c943f15","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T09:54:49Z","title_canon_sha256":"c0f4d4e34d318e07c0c387e02950810a2dc7bccd96185fec490d248c76cc8dfa"},"schema_version":"1.0","source":{"id":"2608.07046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07046","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07046v1","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07046","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"HJGNA7JJMCOG","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_16","alias_value":"HJGNA7JJMCOG6WQJ","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_8","alias_value":"HJGNA7JJ","created_at":"2026-08-10T01:12:58Z"}],"graph_snapshots":[{"event_id":"sha256:00835fcd7a46aa1f13a861f629598971096e21867b48f347841d64742b27c49e","target":"graph","created_at":"2026-08-10T01:12:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.07046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an operator formulation of the entropy-geometry correspondence for static, spherically symmetric gravity. Starting from a generalized entropy, we reconstruct an effective nonlocal form factor, its coordinate-space source, the associated cumulative mass profile, and the resulting spacetime geometry. The construction is worked out for the Bekenstein-Hawking, R\\'enyi, Tsallis-Cirto, Barrow, Kaniadakis entropies, logarithmically/exponentially corrected entropy and LQG inspired entropy. The operator representation provides a direct relation between generalized entropy, nonlocal gravitati","authors_text":"Ankit Anand, Kimet Jusufi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T09:54:49Z","title":"Entropy-geometry correspondence as effective nonlocal gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07046","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:c6a8b76db40cdbabcfacdad860529c9e0d04ccc95faa6a71fde1b08dac997aaa","target":"record","created_at":"2026-08-10T01:12:58Z","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":"c275012012a6ef90bbbb7428b47bffe4faa96c522fcb57e42dd3977f6c943f15","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T09:54:49Z","title_canon_sha256":"c0f4d4e34d318e07c0c387e02950810a2dc7bccd96185fec490d248c76cc8dfa"},"schema_version":"1.0","source":{"id":"2608.07046","kind":"arxiv","version":1}},"canonical_sha256":"3a4cd07d29609c6f5a095ff799df69b72d3509b89ef147b134989b5c6ad72cd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a4cd07d29609c6f5a095ff799df69b72d3509b89ef147b134989b5c6ad72cd0","first_computed_at":"2026-08-10T01:12:58.712847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-10T01:12:58.712847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WU7B7DWhbjQlBlukKdOwXL5GZAW8mPowLME0zvuV2ObdhfqJ22dmdfmswNBbY7/AlTDR5LdXQOiZx0ZCX2kCCw==","signature_status":"signed_v1","signed_at":"2026-08-10T01:12:58.715407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6a8b76db40cdbabcfacdad860529c9e0d04ccc95faa6a71fde1b08dac997aaa","sha256:00835fcd7a46aa1f13a861f629598971096e21867b48f347841d64742b27c49e"],"state_sha256":"21649b978da79ded70ba496fc812483f535ace4926045251dcfa21e4fe4392a0"}