{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:SCY4DUGGALIJHSKZ3Y5EJKJ3ZK","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":"6ba67539f7d305521137e9f10430bb5bcc8fea3e984cb460cc4d97d34347e117","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-01T19:47:17Z","title_canon_sha256":"d123795d44d3ac6cd870f53244886c99567afd6a0e856e5fb7c0ee1923828a90"},"schema_version":"1.0","source":{"id":"astro-ph/0606028","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0606028","created_at":"2026-07-04T15:16:47Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0606028v3","created_at":"2026-07-04T15:16:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0606028","created_at":"2026-07-04T15:16:47Z"},{"alias_kind":"pith_short_12","alias_value":"SCY4DUGGALIJ","created_at":"2026-07-04T15:16:47Z"},{"alias_kind":"pith_short_16","alias_value":"SCY4DUGGALIJHSKZ","created_at":"2026-07-04T15:16:47Z"},{"alias_kind":"pith_short_8","alias_value":"SCY4DUGG","created_at":"2026-07-04T15:16:47Z"}],"graph_snapshots":[{"event_id":"sha256:5965cebabfda83a844c2aefefda3bc7e109c6cbfa8b9e5463914f723d72c3e5a","target":"graph","created_at":"2026-07-04T15:16:47Z","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/astro-ph/0606028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I compute a renormalization group (RG) improvement to the standard beyond-linear-order Eulerian perturbation theory (PT) calculation of the power spectrum of large-scale density fluctuations in the Universe. At z=0, for a power spectrum matching current observations, lowest order RGPT appears to be as accurate as one can test using existing numerical simulation-calibrated fitting formulas out to at least k~=0.3 h/Mpc; although inaccuracy is guaranteed at some level by approximations in the calculation (which can be improved in the future). In contrast, standard PT breaks down virtually as soon","authors_text":"Patrick McDonald (CITA)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-06-01T19:47:17Z","title":"Dark matter clustering: a simple renormalization group approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0606028","kind":"arxiv","version":3},"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":"sha256:17ecf336f7db4f106c31d22d095d24aae169bdba08804f1b66a5b2908fb3afaa","target":"record","created_at":"2026-07-04T15:16:47Z","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":"6ba67539f7d305521137e9f10430bb5bcc8fea3e984cb460cc4d97d34347e117","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-01T19:47:17Z","title_canon_sha256":"d123795d44d3ac6cd870f53244886c99567afd6a0e856e5fb7c0ee1923828a90"},"schema_version":"1.0","source":{"id":"astro-ph/0606028","kind":"arxiv","version":3}},"canonical_sha256":"90b1c1d0c602d093c959de3a44a93bca812a1b49449e1e309f025d27bc02fa6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90b1c1d0c602d093c959de3a44a93bca812a1b49449e1e309f025d27bc02fa6c","first_computed_at":"2026-07-04T15:16:47.987929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:16:47.987929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WqZvnsA9KfhTVZD30XX7FwfSmw7kiUAHtJ7mQPKSLB2LZGGbpStplQwPWe6yBjUaKp8CXkpbuY4rdK0swn6TBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:16:47.988539Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0606028","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17ecf336f7db4f106c31d22d095d24aae169bdba08804f1b66a5b2908fb3afaa","sha256:5965cebabfda83a844c2aefefda3bc7e109c6cbfa8b9e5463914f723d72c3e5a"],"state_sha256":"49d83d3873c75001ccae772b11ee1d97aec8438e808f8beedddfe251f75a7a41"}