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Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity. Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationsh"},"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":"1006.3510","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"976f6d6363e81779884dac6cfd867acd3f5e586660afefb6472bac5d6bb8aa96","abstract_canon_sha256":"4512ba7b43ed6a2e758261df04f6ed4769f9153356a6159c965088d29dffa76b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.644833Z","signature_b64":"XbJaY0lZh0vScbxyfKNiUchs7QVvB9qbZRp5EManeWm4KlGrOQXcdC/EeEGGpMVpNelt87aWFSQVwtqB8kPyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","last_reissued_at":"2026-05-18T02:33:16.644126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.644126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics of Lovelock-Lifshitz Black Branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"M. 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