{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:5COPRLW75FWS2J7MVWJLWDVQSM","short_pith_number":"pith:5COPRLW7","schema_version":"1.0","canonical_sha256":"e89cf8aedfe96d2d27ecad92bb0eb0933e9e8fe8a8ae426743c9f105516474a9","source":{"kind":"arxiv","id":"2605.18942","version":1},"attestation_state":"computed","paper":{"title":"Covariant unification of holographic c-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Carlos Nunez, Helime Ruotsalainen, Jani Kastikainen, Jos\\'e Manuel Pen\\'in, Niko Jokela","submitted_at":"2026-05-18T18:00:00Z","abstract_excerpt":"We propose a covariant holographic c-function, defined directly in a top-down background and constructed from the extrinsic curvature of codimension-two slices of the bulk geometry. The definition does not rely on a special choice of coordinates or on the existence of a consistent dimensional reduction. We show that it unifies previous foliation-based holographic c-functions into a single covariant formula, reducing to them in the appropriate limits. We evaluate the covariant expression in a range of top-down string backgrounds, including conformal models, confining geometries, flows across di"},"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":"2605.18942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-18T18:00:00Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c38e29d8bb2d17c1a49ac3b90da91a72695354c2fbf26dc744be855c7fed2b18","abstract_canon_sha256":"4daa2055edbf92394ceeb6f604f1f71f372f4599ef4874a94d5fe92e1b66597b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:06:37.538100Z","signature_b64":"xIUcAK1HnxuP8vrQyMbKEZmwH5Q5PoJOdRcY9Zq63xhMIPCSfj2ZVODhWAsH55HTiDSBrgMft1WPNwxkhu/6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89cf8aedfe96d2d27ecad92bb0eb0933e9e8fe8a8ae426743c9f105516474a9","last_reissued_at":"2026-05-20T00:06:37.537023Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:06:37.537023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Covariant unification of holographic c-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Carlos Nunez, Helime Ruotsalainen, Jani Kastikainen, Jos\\'e Manuel Pen\\'in, Niko Jokela","submitted_at":"2026-05-18T18:00:00Z","abstract_excerpt":"We propose a covariant holographic c-function, defined directly in a top-down background and constructed from the extrinsic curvature of codimension-two slices of the bulk geometry. The definition does not rely on a special choice of coordinates or on the existence of a consistent dimensional reduction. We show that it unifies previous foliation-based holographic c-functions into a single covariant formula, reducing to them in the appropriate limits. We evaluate the covariant expression in a range of top-down string backgrounds, including conformal models, confining geometries, flows across di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18942","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/2605.18942/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":"2605.18942","created_at":"2026-05-20T00:06:37.537189+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.18942v1","created_at":"2026-05-20T00:06:37.537189+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18942","created_at":"2026-05-20T00:06:37.537189+00:00"},{"alias_kind":"pith_short_12","alias_value":"5COPRLW75FWS","created_at":"2026-05-20T00:06:37.537189+00:00"},{"alias_kind":"pith_short_16","alias_value":"5COPRLW75FWS2J7M","created_at":"2026-05-20T00:06:37.537189+00:00"},{"alias_kind":"pith_short_8","alias_value":"5COPRLW7","created_at":"2026-05-20T00:06:37.537189+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM","json":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM.json","graph_json":"https://pith.science/api/pith-number/5COPRLW75FWS2J7MVWJLWDVQSM/graph.json","events_json":"https://pith.science/api/pith-number/5COPRLW75FWS2J7MVWJLWDVQSM/events.json","paper":"https://pith.science/paper/5COPRLW7"},"agent_actions":{"view_html":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM","download_json":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM.json","view_paper":"https://pith.science/paper/5COPRLW7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.18942&json=true","fetch_graph":"https://pith.science/api/pith-number/5COPRLW75FWS2J7MVWJLWDVQSM/graph.json","fetch_events":"https://pith.science/api/pith-number/5COPRLW75FWS2J7MVWJLWDVQSM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM/action/storage_attestation","attest_author":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM/action/author_attestation","sign_citation":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM/action/citation_signature","submit_replication":"https://pith.science/pith/5COPRLW75FWS2J7MVWJLWDVQSM/action/replication_record"}},"created_at":"2026-05-20T00:06:37.537189+00:00","updated_at":"2026-05-20T00:06:37.537189+00:00"}