{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:X7YS4ESSPCAICGHTXJXGTAQNTW","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":"bd3146abcf79bbc277cc72664628c9e7a4a3ba91f754942854c2064cba6e6550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-17T21:06:57Z","title_canon_sha256":"a064570302ddea458c4fb7bda512fe0fb59da14caafad55664fa47694a31c40b"},"schema_version":"1.0","source":{"id":"1512.05793","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05793","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05793v2","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05793","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"X7YS4ESSPCAI","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"X7YS4ESSPCAICGHT","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"X7YS4ESS","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:d56102cbaaf9f83c09e3a932c271b151cb7c00266b16dd5f1536abbb8dbb5233","target":"graph","created_at":"2026-05-18T01:14:01Z","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":"We present a first principle approach to obtain analytical predictions for spherically-averaged cosmic densities in the mildly non-linear regime that go well beyond what is usually achieved by standard perturbation theory. A large deviation principle allows us to compute the leading-order cumulants of average densities in concentric cells. In this symmetry, the spherical collapse model leads to cumulant generating functions that are robust for finite variances and free of critical points when logarithmic density transformations are implemented. They yield in turn accurate density probability d","authors_text":"Christophe Pichon, Cora Uhlemann, Francis Bernardeau, Paulo Reimberg, Sandrine Codis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-17T21:06:57Z","title":"Back in the saddle: Large-deviation statistics of the cosmic log-density field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05793","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:c8d0bb86ba2ffde34bcc27b5e3c0ece64b5445ef80755949452647217ac7d391","target":"record","created_at":"2026-05-18T01:14:01Z","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":"bd3146abcf79bbc277cc72664628c9e7a4a3ba91f754942854c2064cba6e6550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-17T21:06:57Z","title_canon_sha256":"a064570302ddea458c4fb7bda512fe0fb59da14caafad55664fa47694a31c40b"},"schema_version":"1.0","source":{"id":"1512.05793","kind":"arxiv","version":2}},"canonical_sha256":"bff12e125278808118f3ba6e69820d9db96f8ed96a05a669563ec7aaf45dcb8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bff12e125278808118f3ba6e69820d9db96f8ed96a05a669563ec7aaf45dcb8d","first_computed_at":"2026-05-18T01:14:01.516597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:01.516597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1j+a7J88uaYLXAlZPbG8MNGbgMsuGasnl/mDzLLp0AdMvQpluuKg6pBpAzKyfyzE9kOf23yD/M+4LkeYneWMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:01.517112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05793","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8d0bb86ba2ffde34bcc27b5e3c0ece64b5445ef80755949452647217ac7d391","sha256:d56102cbaaf9f83c09e3a932c271b151cb7c00266b16dd5f1536abbb8dbb5233"],"state_sha256":"6206ffb389e118c89a2faeb4baca8ef7831a46bc08028d75f7df5b44c714f2b7"}