{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:YLEHRX5OUSO3RNVQD2IIZ3K6E5","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":"29ff949b0a351153c52815296dea5fb858c205be4f731f3691839edec8273da3","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-10-21T19:32:21Z","title_canon_sha256":"76f5695da445a6c0cde18b3242e7308001ff82c03d26c7cc2eccb2e5ace8fd30"},"schema_version":"1.0","source":{"id":"astro-ph/0210472","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0210472","created_at":"2026-05-18T02:40:27Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0210472v2","created_at":"2026-05-18T02:40:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0210472","created_at":"2026-05-18T02:40:27Z"},{"alias_kind":"pith_short_12","alias_value":"YLEHRX5OUSO3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"YLEHRX5OUSO3RNVQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"YLEHRX5O","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:7d72b9a4dc75b757b28c39deb9236d8e626fbfea4bd9c8ddc44285c48600f5e0","target":"graph","created_at":"2026-05-18T02:40:27Z","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":"A linear cosmological perturbation theory of an almost homogeneous and isotropic perfect fluid Universe with dynamically evolving Newton constant $G$ and cosmological constant $\\Lambda$ is presented. A gauge-invariant formalism is developed by means of the covariant approach, and the acoustic propagation equations governing the evolution of the comoving fractional spatial gradients of the matter density, $G$, and $\\Lambda$ are thus obtained. Explicit solutions are discussed in cosmologies where both $G$ and $\\Lambda$ vary according to renormalization group equations in the vicinity of a fixed ","authors_text":"A.Bonanno, M.Reuter","cross_cats":["gr-qc","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2002-10-21T19:32:21Z","title":"Cosmological Perturbations in Renormalization Group Derived Cosmologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0210472","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":"sha256:2e57473560b786e16f39a036e0ed5fa2dd28747d10abf1f32b9bc7d4d9bd5c70","target":"record","created_at":"2026-05-18T02:40:27Z","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":"29ff949b0a351153c52815296dea5fb858c205be4f731f3691839edec8273da3","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-10-21T19:32:21Z","title_canon_sha256":"76f5695da445a6c0cde18b3242e7308001ff82c03d26c7cc2eccb2e5ace8fd30"},"schema_version":"1.0","source":{"id":"astro-ph/0210472","kind":"arxiv","version":2}},"canonical_sha256":"c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0","first_computed_at":"2026-05-18T02:40:27.316227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:27.316227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lSWcrXgs5C0M1PRxK06kCkrgeyQ61tR1FIR0HfBh/U4170ndxFtt5M62aExFfiP0Q6lNQ80y/ndZTKqpv/cjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:27.316872Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0210472","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e57473560b786e16f39a036e0ed5fa2dd28747d10abf1f32b9bc7d4d9bd5c70","sha256:7d72b9a4dc75b757b28c39deb9236d8e626fbfea4bd9c8ddc44285c48600f5e0"],"state_sha256":"ed458fe5a49c17bf20fc457d48539340e328b528e76b9c21d45dbe004c658cf9"}