{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:E6RD5BUEJJ3E4ROXLIBYOVKNX4","short_pith_number":"pith:E6RD5BUE","canonical_record":{"source":{"id":"1101.5401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-27T21:37:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c8ad6fe01a182fd1d984feed144284920b460f3375dfb8752dbcbd5b6d4c6a89","abstract_canon_sha256":"5dc18f4c50a5264ba9beb9934d89aba63fdee9f922083cd8fe3e2f902516bf83"},"schema_version":"1.0"},"canonical_sha256":"27a23e86844a764e45d75a0387554dbf231a1ccd3e2897b912da9675c42c0a60","source":{"kind":"arxiv","id":"1101.5401","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5401","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5401v2","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5401","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"E6RD5BUEJJ3E","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E6RD5BUEJJ3E4ROX","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E6RD5BUE","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:E6RD5BUEJJ3E4ROXLIBYOVKNX4","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-27T21:37:50Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c8ad6fe01a182fd1d984feed144284920b460f3375dfb8752dbcbd5b6d4c6a89","abstract_canon_sha256":"5dc18f4c50a5264ba9beb9934d89aba63fdee9f922083cd8fe3e2f902516bf83"},"schema_version":"1.0"},"canonical_sha256":"27a23e86844a764e45d75a0387554dbf231a1ccd3e2897b912da9675c42c0a60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:23.347736Z","signature_b64":"dc7d/Z7TJ3YFddpAT5KCToxRKogQU44/VSXamLc88Ew0Cext679aL08c7Pr6Yeu//3v5MeoNgYyOfB/UVIfJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27a23e86844a764e45d75a0387554dbf231a1ccd3e2897b912da9675c42c0a60","last_reissued_at":"2026-05-18T04:18:23.347115Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:23.347115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5401","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hh66DyjngrgnwzK/SkQz2s4Lyd38GU7MgUJqm1KVZLe7BdOlf4dViwPqldC3auu7kyalc4EhEzoC2ugpzJRvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:15:07.469731Z"},"content_sha256":"b57236d23c00ee6a52ac77fdd1b111088a081f2a86a9cf3c5f585f879decd5e5","schema_version":"1.0","event_id":"sha256:b57236d23c00ee6a52ac77fdd1b111088a081f2a86a9cf3c5f585f879decd5e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:E6RD5BUEJJ3E4ROXLIBYOVKNX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotically Safe Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Christoph Rahmede, Daniel Litim, Mark Hindmarsh","submitted_at":"2011-01-27T21:37:50Z","abstract_excerpt":"We study quantum modifications to cosmology in a Friedmann-Robertson-Walker universe with and without scalar fields by taking the renormalisation group running of gravitational and matter couplings into account. We exploit the Bianchi identity to relate the renormalisation group scale with scale factor and derive the improved cosmological evolution equations. We find two types of cosmological fixed points where the renormalisation group scale either freezes in, or continues to evolve with scale factor. We discuss the implications of each of these, and classify the different cosmological fixed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5401","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RLg+2urMEPtPckztuHst0wLtue3Jrg7QIETHMjLsAHdRAJ67NWfxCChyvtf5EunNGT/fBj/0Ueozv05y36AFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:15:07.470071Z"},"content_sha256":"e9bc62fe410c366b6ca9b13fd42014d36592d0a8d2ae15e7c6fcc30fd25bc1b4","schema_version":"1.0","event_id":"sha256:e9bc62fe410c366b6ca9b13fd42014d36592d0a8d2ae15e7c6fcc30fd25bc1b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/bundle.json","state_url":"https://pith.science/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T06:15:07Z","links":{"resolver":"https://pith.science/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4","bundle":"https://pith.science/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/bundle.json","state":"https://pith.science/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6RD5BUEJJ3E4ROXLIBYOVKNX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:E6RD5BUEJJ3E4ROXLIBYOVKNX4","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":"5dc18f4c50a5264ba9beb9934d89aba63fdee9f922083cd8fe3e2f902516bf83","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-27T21:37:50Z","title_canon_sha256":"c8ad6fe01a182fd1d984feed144284920b460f3375dfb8752dbcbd5b6d4c6a89"},"schema_version":"1.0","source":{"id":"1101.5401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5401","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5401v2","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5401","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"E6RD5BUEJJ3E","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E6RD5BUEJJ3E4ROX","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E6RD5BUE","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:e9bc62fe410c366b6ca9b13fd42014d36592d0a8d2ae15e7c6fcc30fd25bc1b4","target":"graph","created_at":"2026-05-18T04:18:23Z","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":"We study quantum modifications to cosmology in a Friedmann-Robertson-Walker universe with and without scalar fields by taking the renormalisation group running of gravitational and matter couplings into account. We exploit the Bianchi identity to relate the renormalisation group scale with scale factor and derive the improved cosmological evolution equations. We find two types of cosmological fixed points where the renormalisation group scale either freezes in, or continues to evolve with scale factor. We discuss the implications of each of these, and classify the different cosmological fixed ","authors_text":"Christoph Rahmede, Daniel Litim, Mark Hindmarsh","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-27T21:37:50Z","title":"Asymptotically Safe Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5401","kind":"arxiv","version":2},"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:b57236d23c00ee6a52ac77fdd1b111088a081f2a86a9cf3c5f585f879decd5e5","target":"record","created_at":"2026-05-18T04:18:23Z","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":"5dc18f4c50a5264ba9beb9934d89aba63fdee9f922083cd8fe3e2f902516bf83","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-27T21:37:50Z","title_canon_sha256":"c8ad6fe01a182fd1d984feed144284920b460f3375dfb8752dbcbd5b6d4c6a89"},"schema_version":"1.0","source":{"id":"1101.5401","kind":"arxiv","version":2}},"canonical_sha256":"27a23e86844a764e45d75a0387554dbf231a1ccd3e2897b912da9675c42c0a60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27a23e86844a764e45d75a0387554dbf231a1ccd3e2897b912da9675c42c0a60","first_computed_at":"2026-05-18T04:18:23.347115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:23.347115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dc7d/Z7TJ3YFddpAT5KCToxRKogQU44/VSXamLc88Ew0Cext679aL08c7Pr6Yeu//3v5MeoNgYyOfB/UVIfJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:23.347736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b57236d23c00ee6a52ac77fdd1b111088a081f2a86a9cf3c5f585f879decd5e5","sha256:e9bc62fe410c366b6ca9b13fd42014d36592d0a8d2ae15e7c6fcc30fd25bc1b4"],"state_sha256":"d78ec5d614879a9e8ec76403b9ebe9eac26e87e57a397964ed1573fbc94bc08e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F1mWW01qdaP88s8itgmMbBxRgppBaaub6yn8KPZaxri9NzsdJQdW8sh0uGaYex+xsr7/qjXIP2qpC9h8ZA1EDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:15:07.471999Z","bundle_sha256":"89e3fe0b33c2d6b757208345b36777cea2276aa4d3bbbfd585ee3571d7af475f"}}