{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YQZCOZBIQ5SEBH6D3FPZYAOYNN","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":"2ff55f4abfc299ca9a43673c617a54c314afca23412809ba97205d858a982ff4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-24T13:14:44Z","title_canon_sha256":"81b67c2ab233c8385a17af128d5ee5e8a7be62d14ca7d3a1f05ef32a251bda6e"},"schema_version":"1.0","source":{"id":"1110.5224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5224","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5224v1","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5224","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"pith_short_12","alias_value":"YQZCOZBIQ5SE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YQZCOZBIQ5SEBH6D","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YQZCOZBI","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:9bee24c74761ed4ae1761f7a747d1e4143f681157d9d31ee9092a82d86cc6eac","target":"graph","created_at":"2026-05-18T02:00:06Z","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"},"paper":{"abstract_excerpt":"The emergence of fractal features in the microscopic structure of space-time is a common theme in many approaches to quantum gravity. In this work we carry out a detailed renormalization group study of the spectral dimension $d_s$ and walk dimension $d_w$ associated with the effective space-times of asymptotically safe Quantum Einstein Gravity (QEG). We discover three scaling regimes where these generalized dimensions are approximately constant for an extended range of length scales: a classical regime where $d_s = d, d_w = 2$, a semi-classical regime where $d_s = 2d/(2+d), d_w = 2+d$, and the","authors_text":"Frank Saueressig, Martin Reuter","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-24T13:14:44Z","title":"Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5224","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":"sha256:31b54b78d19a71b9780730625dbc773583c32cda4b05d63e8bf941590926078a","target":"record","created_at":"2026-05-18T02:00:06Z","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":"2ff55f4abfc299ca9a43673c617a54c314afca23412809ba97205d858a982ff4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-24T13:14:44Z","title_canon_sha256":"81b67c2ab233c8385a17af128d5ee5e8a7be62d14ca7d3a1f05ef32a251bda6e"},"schema_version":"1.0","source":{"id":"1110.5224","kind":"arxiv","version":1}},"canonical_sha256":"c4322764288764409fc3d95f9c01d86b6e59bf0433e11433039b3c27a1dd4f17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4322764288764409fc3d95f9c01d86b6e59bf0433e11433039b3c27a1dd4f17","first_computed_at":"2026-05-18T02:00:06.394041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:06.394041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SL3QLLL9U+ipmw6o+lJiJCEuBrQGLhxH6gzpnq2Svtomzi8DNNGYkQ3jn0G0aCEu1/NOn9d/vfIaDie0mz7UDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:06.394755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31b54b78d19a71b9780730625dbc773583c32cda4b05d63e8bf941590926078a","sha256:9bee24c74761ed4ae1761f7a747d1e4143f681157d9d31ee9092a82d86cc6eac"],"state_sha256":"0dfa418e4d56f4de45fb75cab2a587d03c6edac14ecb69eb7c94960630d3105e"}