{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GTC5BSP2T6K6E6FE3EWKHF6MMF","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":"4fc7fd15d8c1b403838352182527c111ecb75e30af5a43682877910894ca8589","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-05T13:25:36Z","title_canon_sha256":"91940dd5cbd54fefd8479cf6a3b30b57a55d8fa0fb2818d46cf98c99e043ee03"},"schema_version":"1.0","source":{"id":"hep-th/0110054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0110054","created_at":"2026-07-04T17:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0110054v1","created_at":"2026-07-04T17:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0110054","created_at":"2026-07-04T17:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"GTC5BSP2T6K6","created_at":"2026-07-04T17:25:25Z"},{"alias_kind":"pith_short_16","alias_value":"GTC5BSP2T6K6E6FE","created_at":"2026-07-04T17:25:25Z"},{"alias_kind":"pith_short_8","alias_value":"GTC5BSP2","created_at":"2026-07-04T17:25:25Z"}],"graph_snapshots":[{"event_id":"sha256:193f4fe82b04f92d8bfdb41ff4525c96efea1a49175b3252689ed58970f75550","target":"graph","created_at":"2026-07-04T17:25:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0110054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\\Fbeta$-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert truncation. The resulting coupled differential equations are evaluated for a sharp cutoff function. The features of these flow equations are compared to those found when using a smooth cutoff. The system of equations with sharp cutoff is then solved numerically, deriving the complete renormalization group flow of the Einstein-Hilbert truncation in $d=4$. The","authors_text":"F. Saueressig, M. Reuter","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-10-05T13:25:36Z","title":"Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0110054","kind":"arxiv","version":1},"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":"sha256:0636a4e0181abe29211b5ddb9e80ac5cdda9e965f801f8726ac5001caddb8bc3","target":"record","created_at":"2026-07-04T17:25:25Z","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":"4fc7fd15d8c1b403838352182527c111ecb75e30af5a43682877910894ca8589","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-05T13:25:36Z","title_canon_sha256":"91940dd5cbd54fefd8479cf6a3b30b57a55d8fa0fb2818d46cf98c99e043ee03"},"schema_version":"1.0","source":{"id":"hep-th/0110054","kind":"arxiv","version":1}},"canonical_sha256":"34c5d0c9fa9f95e278a4d92ca397cc6156ec9d2a5ba278a1c17cd0f34748da3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34c5d0c9fa9f95e278a4d92ca397cc6156ec9d2a5ba278a1c17cd0f34748da3e","first_computed_at":"2026-07-04T17:25:25.377582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:25.377582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O60WOm2oY85Cs5hw+VjX90hrtMD/AYu1pOguZeMFoIoWC50GWo3XRZ9HJ95gy4B1Oi7dCkTZuaBn1xUaiNT1Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:25.378056Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0110054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0636a4e0181abe29211b5ddb9e80ac5cdda9e965f801f8726ac5001caddb8bc3","sha256:193f4fe82b04f92d8bfdb41ff4525c96efea1a49175b3252689ed58970f75550"],"state_sha256":"d0e8323ba7c3beb42c519b2294d253de739372322d7dd733f03b1a5a426cb03b"}