{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:Y5BTRG2GRMLPXURZRWI2P5VJE5","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":"bf78b31dc9d4fab9bbfc3b4cf6a4eb8c095f029d78556245ddf323e469d9d118","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-11T12:54:12Z","title_canon_sha256":"c1957d247e650559e0861f7172e7c8104908b6d3b895bd2015c81c6ede9de851"},"schema_version":"1.0","source":{"id":"astro-ph/0107196","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0107196","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0107196v2","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0107196","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_12","alias_value":"Y5BTRG2GRMLP","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_16","alias_value":"Y5BTRG2GRMLPXURZ","created_at":"2026-07-04T16:23:41Z"},{"alias_kind":"pith_short_8","alias_value":"Y5BTRG2G","created_at":"2026-07-04T16:23:41Z"}],"graph_snapshots":[{"event_id":"sha256:3f5e012df9efde58bf4d3929393a9fc72cbe5333555a55fdf9099ade7870ad16","target":"graph","created_at":"2026-07-04T16:23:41Z","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/0107196/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using a non-perturbative method developed in a previous work (paper II), we derive the probability distribution $P(\\delta_R)$ of the density contrast within spherical cells in the quasi-linear regime for some non-Gaussian initial conditions. We describe three such models. The first one is a straightforward generalization of the Gaussian scenario. It can be seen as a phenomenological description of a density field where the tails of the linear density contrast distribution would be of the form $P_L(\\delta_L) \\sim e^{-|\\delta_L|^{-\\alpha}}$, where $\\alpha$ is no longer restricted to 2 (as in the","authors_text":"P. Valageas (SPhT, Saclay)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2001-07-11T12:54:12Z","title":"Dynamics of gravitational clustering III. The quasi-linear regime for some non-Gaussian initial conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0107196","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":"sha256:4e936ea4c0c34680305935fe85adb661d32e19b07abd111bf9cca6659c516d3e","target":"record","created_at":"2026-07-04T16:23:41Z","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":"bf78b31dc9d4fab9bbfc3b4cf6a4eb8c095f029d78556245ddf323e469d9d118","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-07-11T12:54:12Z","title_canon_sha256":"c1957d247e650559e0861f7172e7c8104908b6d3b895bd2015c81c6ede9de851"},"schema_version":"1.0","source":{"id":"astro-ph/0107196","kind":"arxiv","version":2}},"canonical_sha256":"c743389b468b16fbd2398d91a7f6a927565fd2a829247e7fe2b9728ebc26f96f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c743389b468b16fbd2398d91a7f6a927565fd2a829247e7fe2b9728ebc26f96f","first_computed_at":"2026-07-04T16:23:41.500089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:23:41.500089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oxhPnTnHU/vlT0C/GiMoWvOrcK+aRB9eApUg5D92PPmBLov7Kg5cskTx+DA4pPuKHtufFLSlvwV4pQc8niMyAg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:23:41.500506Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0107196","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e936ea4c0c34680305935fe85adb661d32e19b07abd111bf9cca6659c516d3e","sha256:3f5e012df9efde58bf4d3929393a9fc72cbe5333555a55fdf9099ade7870ad16"],"state_sha256":"65fc883240289f4cb09ef017da28f25699a529aa4b95b27d4fab19b19e381e04"}