{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:YLEHRX5OUSO3RNVQD2IIZ3K6E5","short_pith_number":"pith:YLEHRX5O","schema_version":"1.0","canonical_sha256":"c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0","source":{"kind":"arxiv","id":"astro-ph/0210472","version":2},"attestation_state":"computed","paper":{"title":"Cosmological Perturbations in Renormalization Group Derived Cosmologies","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph","authors_text":"A.Bonanno, M.Reuter","submitted_at":"2002-10-21T19:32:21Z","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 "},"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":"astro-ph/0210472","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-10-21T19:32:21Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"76f5695da445a6c0cde18b3242e7308001ff82c03d26c7cc2eccb2e5ace8fd30","abstract_canon_sha256":"29ff949b0a351153c52815296dea5fb858c205be4f731f3691839edec8273da3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:27.316872Z","signature_b64":"lSWcrXgs5C0M1PRxK06kCkrgeyQ61tR1FIR0HfBh/U4170ndxFtt5M62aExFfiP0Q6lNQ80y/ndZTKqpv/cjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0","last_reissued_at":"2026-05-18T02:40:27.316227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:27.316227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological Perturbations in Renormalization Group Derived Cosmologies","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph","authors_text":"A.Bonanno, M.Reuter","submitted_at":"2002-10-21T19:32:21Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0210472","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0210472","created_at":"2026-05-18T02:40:27.316306+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0210472v2","created_at":"2026-05-18T02:40:27.316306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0210472","created_at":"2026-05-18T02:40:27.316306+00:00"},{"alias_kind":"pith_short_12","alias_value":"YLEHRX5OUSO3","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"YLEHRX5OUSO3RNVQ","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"YLEHRX5O","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2601.17115","citing_title":"Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21237","citing_title":"Bianchi-I Cosmology with Radiation in Asymptotically Safe Gravity","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5","json":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5.json","graph_json":"https://pith.science/api/pith-number/YLEHRX5OUSO3RNVQD2IIZ3K6E5/graph.json","events_json":"https://pith.science/api/pith-number/YLEHRX5OUSO3RNVQD2IIZ3K6E5/events.json","paper":"https://pith.science/paper/YLEHRX5O"},"agent_actions":{"view_html":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5","download_json":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5.json","view_paper":"https://pith.science/paper/YLEHRX5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0210472&json=true","fetch_graph":"https://pith.science/api/pith-number/YLEHRX5OUSO3RNVQD2IIZ3K6E5/graph.json","fetch_events":"https://pith.science/api/pith-number/YLEHRX5OUSO3RNVQD2IIZ3K6E5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5/action/storage_attestation","attest_author":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5/action/author_attestation","sign_citation":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5/action/citation_signature","submit_replication":"https://pith.science/pith/YLEHRX5OUSO3RNVQD2IIZ3K6E5/action/replication_record"}},"created_at":"2026-05-18T02:40:27.316306+00:00","updated_at":"2026-05-18T02:40:27.316306+00:00"}