{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NVGF233LPO74OUBEXD4QVXAY2D","short_pith_number":"pith:NVGF233L","schema_version":"1.0","canonical_sha256":"6d4c5d6f6b7bbfc75024b8f90adc18d0c7e9f1f8da977eaef2cd93ff28fde5aa","source":{"kind":"arxiv","id":"1508.01343","version":4},"attestation_state":"computed","paper":{"title":"RG Flow and Thermodynamics of Causal Horizons in AdS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Shamik Banerjee","submitted_at":"2015-08-06T10:01:26Z","abstract_excerpt":"Causal horizons in pure Poincare $AdS$ are Killing horizons generated by dilatation vector. Renormalization group (RG) flow breaks the dilatation symmetry and makes the horizons dynamical. We propose that the boundary RG flow is dual to the thermodynamics of the causal horizon. As a check of our proposal we show that the gravity dual of the boundary $c$-theorem is the second law of thermodynamics obeyed by causal horizons. The holographic $c$-function is the Bekenstein-Hawking entropy (density) of the dynamical causal horizon. We explicitly construct the $c$-function in a generic class of RG-f"},"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":"1508.01343","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-06T10:01:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"315a61571cc369a86a15f0965a9fdf1189f1efe5a111fded69017a432c03ecb1","abstract_canon_sha256":"9051e6225af694e4616bfc53f7531f0f915ba0fb8087ea56ebbf7ceecf21868f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:31.390070Z","signature_b64":"mUfEavMTYW57ei5cdpwyTh9DIcewIQ+sDm6dnc+vD+iAwVRfNIsHqWKy2fz4cmMcJ+cJppR2CFsbCyYnZnkIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d4c5d6f6b7bbfc75024b8f90adc18d0c7e9f1f8da977eaef2cd93ff28fde5aa","last_reissued_at":"2026-05-18T01:29:31.389458Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:31.389458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"RG Flow and Thermodynamics of Causal Horizons in AdS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Shamik Banerjee","submitted_at":"2015-08-06T10:01:26Z","abstract_excerpt":"Causal horizons in pure Poincare $AdS$ are Killing horizons generated by dilatation vector. Renormalization group (RG) flow breaks the dilatation symmetry and makes the horizons dynamical. We propose that the boundary RG flow is dual to the thermodynamics of the causal horizon. As a check of our proposal we show that the gravity dual of the boundary $c$-theorem is the second law of thermodynamics obeyed by causal horizons. The holographic $c$-function is the Bekenstein-Hawking entropy (density) of the dynamical causal horizon. We explicitly construct the $c$-function in a generic class of RG-f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01343","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.01343","created_at":"2026-05-18T01:29:31.389558+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01343v4","created_at":"2026-05-18T01:29:31.389558+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01343","created_at":"2026-05-18T01:29:31.389558+00:00"},{"alias_kind":"pith_short_12","alias_value":"NVGF233LPO74","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NVGF233LPO74OUBE","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NVGF233L","created_at":"2026-05-18T12:29:34.919912+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.18942","citing_title":"Covariant unification of holographic c-functions","ref_index":97,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D","json":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D.json","graph_json":"https://pith.science/api/pith-number/NVGF233LPO74OUBEXD4QVXAY2D/graph.json","events_json":"https://pith.science/api/pith-number/NVGF233LPO74OUBEXD4QVXAY2D/events.json","paper":"https://pith.science/paper/NVGF233L"},"agent_actions":{"view_html":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D","download_json":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D.json","view_paper":"https://pith.science/paper/NVGF233L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01343&json=true","fetch_graph":"https://pith.science/api/pith-number/NVGF233LPO74OUBEXD4QVXAY2D/graph.json","fetch_events":"https://pith.science/api/pith-number/NVGF233LPO74OUBEXD4QVXAY2D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D/action/storage_attestation","attest_author":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D/action/author_attestation","sign_citation":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D/action/citation_signature","submit_replication":"https://pith.science/pith/NVGF233LPO74OUBEXD4QVXAY2D/action/replication_record"}},"created_at":"2026-05-18T01:29:31.389558+00:00","updated_at":"2026-05-18T01:29:31.389558+00:00"}