{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GKFIXLB63WZKLYZWVNC2QAQ2CM","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":"a58e83fa702e104bc6967133600fc38767c98985ce4b34bcaac2efa2ca39989e","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T10:15:43Z","title_canon_sha256":"9a31ee9780ae1f2ea4cbe110476c4787e43c8841ec6b3ffcfd5f3da404c39c47"},"schema_version":"1.0","source":{"id":"2607.07234","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07234","created_at":"2026-07-09T01:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07234v1","created_at":"2026-07-09T01:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07234","created_at":"2026-07-09T01:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"GKFIXLB63WZK","created_at":"2026-07-09T01:20:18Z"},{"alias_kind":"pith_short_16","alias_value":"GKFIXLB63WZKLYZW","created_at":"2026-07-09T01:20:18Z"},{"alias_kind":"pith_short_8","alias_value":"GKFIXLB6","created_at":"2026-07-09T01:20:18Z"}],"graph_snapshots":[{"event_id":"sha256:e65428d03cfc35bcafdd605cb0888c9a5da49643a5350c059cc307d0b158c084","target":"graph","created_at":"2026-07-09T01:20:18Z","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/2607.07234/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work investigates the thermodynamic behavior of deformed AdS-Schwarzschild black holes by incorporating higher-order corrections within non-interacting spacetime models and extended entropy frameworks. To address the inadequacies of classical statistical mechanics in describing gravitational systems with non-local and long-range interactions, we employ non-extensive entropy formalisms, specifically Tsallis and Barrow entropies, which capture quantum-scale deviations and extended correlations. The resulting thermodynamic analysis reveals significant departures from conventional black hole ","authors_text":"Alireza Amani, Fatemeh Khosravani, Jafar Sadeghi","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T10:15:43Z","title":"Thermodynamics of Deformed AdS-Schwarzschild Black Holes Beyond the Bekenstein Paradigm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07234","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":"sha256:184a3772ba19a26cbab443584a1e02dee6bec1c9e5798332713e5ffd9047eefb","target":"record","created_at":"2026-07-09T01:20:18Z","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":"a58e83fa702e104bc6967133600fc38767c98985ce4b34bcaac2efa2ca39989e","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T10:15:43Z","title_canon_sha256":"9a31ee9780ae1f2ea4cbe110476c4787e43c8841ec6b3ffcfd5f3da404c39c47"},"schema_version":"1.0","source":{"id":"2607.07234","kind":"arxiv","version":1}},"canonical_sha256":"328a8bac3eddb2a5e336ab45a8021a133062e18c1959b6df5341d23096742624","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"328a8bac3eddb2a5e336ab45a8021a133062e18c1959b6df5341d23096742624","first_computed_at":"2026-07-09T01:20:18.467182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-09T01:20:18.467182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t1S4var6h9Uem4vKAIoRm+nhHhuUGvDElVe43I/6gZ8PCxaCesD5a+Uriyzt3SU7v3S3SPflV276yMRXaH1pCQ==","signature_status":"signed_v1","signed_at":"2026-07-09T01:20:18.467595Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07234","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:184a3772ba19a26cbab443584a1e02dee6bec1c9e5798332713e5ffd9047eefb","sha256:e65428d03cfc35bcafdd605cb0888c9a5da49643a5350c059cc307d0b158c084"],"state_sha256":"4b04e216620d5840c9334f6f000351b411608dc83814f2ad9ff97db7fd685e13"}