{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:BZ5B6YP7A5MMAQP4IVDE4KJ4MZ","short_pith_number":"pith:BZ5B6YP7","schema_version":"1.0","canonical_sha256":"0e7a1f61ff0758c041fc45464e293c667159ba140b5450d0b6fa2a9f02d7e9da","source":{"kind":"arxiv","id":"2003.06425","version":1},"attestation_state":"computed","paper":{"title":"Counterterms, Kounterterms, and the variational problem in AdS gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Giorgos Anastasiou, Ioannis Papadimitriou, Olivera Miskovic, Rodrigo Olea","submitted_at":"2020-03-13T18:00:02Z","abstract_excerpt":"We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem"},"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":"2003.06425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-03-13T18:00:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3c40948451339967f089437c4963b1cbec7c86fdac50f25b1f6980236716b0ba","abstract_canon_sha256":"17923d0305654e32cf3953018c378e986aa1365b38f3163a3ccfdf8d03097ea5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:55:48.426881Z","signature_b64":"HNTbvudWNlqRAuNULdweL3ucUAt9rfUG60SZaHbJML/fqAWRSMO+QhxD1cCRNOkkpmL4B3tyX6hTbxfJUT0EAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e7a1f61ff0758c041fc45464e293c667159ba140b5450d0b6fa2a9f02d7e9da","last_reissued_at":"2026-07-05T01:55:48.426404Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:55:48.426404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counterterms, Kounterterms, and the variational problem in AdS gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Giorgos Anastasiou, Ioannis Papadimitriou, Olivera Miskovic, Rodrigo Olea","submitted_at":"2020-03-13T18:00:02Z","abstract_excerpt":"We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson's theorem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.06425","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.06425/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2003.06425","created_at":"2026-07-05T01:55:48.426461+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.06425v1","created_at":"2026-07-05T01:55:48.426461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.06425","created_at":"2026-07-05T01:55:48.426461+00:00"},{"alias_kind":"pith_short_12","alias_value":"BZ5B6YP7A5MM","created_at":"2026-07-05T01:55:48.426461+00:00"},{"alias_kind":"pith_short_16","alias_value":"BZ5B6YP7A5MMAQP4","created_at":"2026-07-05T01:55:48.426461+00:00"},{"alias_kind":"pith_short_8","alias_value":"BZ5B6YP7","created_at":"2026-07-05T01:55:48.426461+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07965","citing_title":"Symmetry TFTs for Continuous Spacetime Symmetries","ref_index":143,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ","json":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ.json","graph_json":"https://pith.science/api/pith-number/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/graph.json","events_json":"https://pith.science/api/pith-number/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/events.json","paper":"https://pith.science/paper/BZ5B6YP7"},"agent_actions":{"view_html":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ","download_json":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ.json","view_paper":"https://pith.science/paper/BZ5B6YP7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.06425&json=true","fetch_graph":"https://pith.science/api/pith-number/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/graph.json","fetch_events":"https://pith.science/api/pith-number/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/action/storage_attestation","attest_author":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/action/author_attestation","sign_citation":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/action/citation_signature","submit_replication":"https://pith.science/pith/BZ5B6YP7A5MMAQP4IVDE4KJ4MZ/action/replication_record"}},"created_at":"2026-07-05T01:55:48.426461+00:00","updated_at":"2026-07-05T01:55:48.426461+00:00"}