{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:SSWCQ4R5CNYPWY2W42HYAZECCY","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":"1ad2ee5c13dc1ef8f151bc8a9b9bc5e12063ac9755b437313dd40414943a3f71","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-11-16T19:35:34Z","title_canon_sha256":"4447ad6716bd2d5d0fadbc6deaedeebd91c8bfc85189eb0a5651fdeb3c440d99"},"schema_version":"1.0","source":{"id":"astro-ph/9411066","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9411066","created_at":"2026-05-18T01:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9411066v3","created_at":"2026-05-18T01:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9411066","created_at":"2026-05-18T01:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"SSWCQ4R5CNYP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"SSWCQ4R5CNYPWY2W","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"SSWCQ4R5","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:7c968df576614b7204334d4338c8b5c713f11ca612d23c1e8b1a3871f0adc3a9","target":"graph","created_at":"2026-05-18T01:40:24Z","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":"The problem of solving perturbatively the equations describing the evolution of self-gravitating collisionless matter in an expanding universe considerably simplifies when directly formulated in terms of the gravitational and velocity potentials: the problem can be solved {\\it exactly}, rather than approximately, even for cosmological models with arbitrary density parameter $\\Omega$. The Eulerian approach we present here allows to calculate the higher-order moments of the initially Gaussian density and velocity fields: in particular, we compute the gravitationally induced skewness of the densi","authors_text":"Francesco Lucchin, Paolo Catelan, Sabino Matarrese & Lauro Moscardini","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1994-11-16T19:35:34Z","title":"Eulerian Perturbation Theory in Non-Flat Universes: Second-Order Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9411066","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:b45cda981b6e0972c291d599a5e987d6c87dbf314388f2ef5c25654e71c0bf14","target":"record","created_at":"2026-05-18T01:40:24Z","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":"1ad2ee5c13dc1ef8f151bc8a9b9bc5e12063ac9755b437313dd40414943a3f71","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-11-16T19:35:34Z","title_canon_sha256":"4447ad6716bd2d5d0fadbc6deaedeebd91c8bfc85189eb0a5651fdeb3c440d99"},"schema_version":"1.0","source":{"id":"astro-ph/9411066","kind":"arxiv","version":3}},"canonical_sha256":"94ac28723d1370fb6356e68f806482162e5466e8290497447c851dade3d2488f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94ac28723d1370fb6356e68f806482162e5466e8290497447c851dade3d2488f","first_computed_at":"2026-05-18T01:40:24.144310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:24.144310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0mSsr5ZcU+X0fe15OY/ZlGNAauJTd6T31u4OA51K/fAFbX/aw4ce+yGARuKio/GbxqJQMETt4dOrl3d6aur2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:24.145020Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9411066","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b45cda981b6e0972c291d599a5e987d6c87dbf314388f2ef5c25654e71c0bf14","sha256:7c968df576614b7204334d4338c8b5c713f11ca612d23c1e8b1a3871f0adc3a9"],"state_sha256":"5d5a2480e77f6e40adf5beda14fefbeb1b984c67efeb42b85ebfd1ae1c4ffa19"}