{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PHMWAFTKDWV7C5LPONMZDXOEIY","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":"a032179b3cb1d6053bf04af239fd69f527cf1497e299aaf8a813388a28b001c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T20:19:54Z","title_canon_sha256":"0998a2c0faa63b73f7399ed18d2e17c02bbf9c4a1887bd54fac5b3e60602ef5d"},"schema_version":"1.0","source":{"id":"1509.07142","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07142","created_at":"2026-05-18T01:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07142v2","created_at":"2026-05-18T01:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07142","created_at":"2026-05-18T01:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"PHMWAFTKDWV7","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PHMWAFTKDWV7C5LP","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PHMWAFTK","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:03f61148cdb69c021b913b8e6708f5fe103cadd468fb6a140adf9ec02758750d","target":"graph","created_at":"2026-05-18T01:21:54Z","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":"Horndeski gravities are theories of gravity coupled to a scalar field, in which the action contains an additional non-minimal quadratic coupling of the scalar, through its first derivative, to the Einstein tensor or the analogous higher-derivative tensors coming from the variation of Gauss-Bonnet or Lovelock terms. In this paper we study the thermodynamics of the static black hole solutions in $n$ dimensions, in the simplest case of a Horndeski coupling to the Einstein tensor. We apply the Wald formalism to calculate the entropy of the black holes, and show that there is an additional contribu","authors_text":"C.N. Pope, Hai-Shan Liu, H. L\\\"u, Xing-Hui Feng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T20:19:54Z","title":"Black Hole Entropy and Viscosity Bound in Horndeski Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07142","kind":"arxiv","version":2},"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":"sha256:132b1a37aa59ad6d2998ab6ee43de958ddf8480fbf391fee5bd1b31f7940fbd5","target":"record","created_at":"2026-05-18T01:21:54Z","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":"a032179b3cb1d6053bf04af239fd69f527cf1497e299aaf8a813388a28b001c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T20:19:54Z","title_canon_sha256":"0998a2c0faa63b73f7399ed18d2e17c02bbf9c4a1887bd54fac5b3e60602ef5d"},"schema_version":"1.0","source":{"id":"1509.07142","kind":"arxiv","version":2}},"canonical_sha256":"79d960166a1dabf1756f735991ddc446318c58b4bb397e2794df05f40fb997e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79d960166a1dabf1756f735991ddc446318c58b4bb397e2794df05f40fb997e4","first_computed_at":"2026-05-18T01:21:54.093607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:54.093607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"18LYMzIa03Igpe1hOscg85B1XwBfhBOLdzkvufBI4+c07Mel71ZP3r3DPFHKC7JsjLlk+1Nzqi3riQZkP4bFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:54.094197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07142","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:132b1a37aa59ad6d2998ab6ee43de958ddf8480fbf391fee5bd1b31f7940fbd5","sha256:03f61148cdb69c021b913b8e6708f5fe103cadd468fb6a140adf9ec02758750d"],"state_sha256":"36b48ebb95bed8cd4b92a5479c75c200a3dc895a52fe0f3b334faace24957e62"}