{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CU5FZUVVHNLSGZHOJDKKAMFHZY","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":"fe0037bf789bfc3da718eca7055a76d698b5324bd75c8ca2f4b0ccad002832f6","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-14T20:01:09Z","title_canon_sha256":"2784ad8570878e9e0606adf933627c2910b7af11fa62d59593f17564aee969e9"},"schema_version":"1.0","source":{"id":"1109.3196","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3196","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3196v3","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3196","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"pith_short_12","alias_value":"CU5FZUVVHNLS","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CU5FZUVVHNLSGZHO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CU5FZUVV","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:b1abcf1f760ff002205ffd28a73dbc5a019762fdfb2cc2f14c45f16829fd14a4","target":"graph","created_at":"2026-05-18T03:55:47Z","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"},"paper":{"abstract_excerpt":"The mass distribution of dark matter halos is a sensitive probe of primordial non-Gaussianity (NG). We derive an analytical formula of the halo mass function by perturbatively computing excursion set path-integrals for a non-Gaussian density field with non-vanishing skewness, fnl. We assume a stochastic barrier model which captures the main features of the ellipsoidal collapse of halos. Contrary to previous results based on extensions of the Press-Schechter formalism to NG initial conditions, we find that the non-spherical collapse of halos directly alter the signature of primordial NG. This p","authors_text":"Ixandra Achitouv, Pier Stefano Corasaniti","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-14T20:01:09Z","title":"Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3196","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:b497c98539597c0ed3671785c75c86875bb531eeb3c2022dca1998354ea61c7f","target":"record","created_at":"2026-05-18T03:55:47Z","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":"fe0037bf789bfc3da718eca7055a76d698b5324bd75c8ca2f4b0ccad002832f6","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-14T20:01:09Z","title_canon_sha256":"2784ad8570878e9e0606adf933627c2910b7af11fa62d59593f17564aee969e9"},"schema_version":"1.0","source":{"id":"1109.3196","kind":"arxiv","version":3}},"canonical_sha256":"153a5cd2b53b572364ee48d4a030a7ce24fea9fb4e1de0c7ca9379f8db081ed0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"153a5cd2b53b572364ee48d4a030a7ce24fea9fb4e1de0c7ca9379f8db081ed0","first_computed_at":"2026-05-18T03:55:47.012959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:47.012959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vt74lnyPBRwlCLn9YP167rIWCxn8BrUFeaVQ+NMlGqeHhf9/vGXWVD1SKw3VtrZ2VTi8RuzDNeevp6GyMG9RDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:47.013423Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3196","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b497c98539597c0ed3671785c75c86875bb531eeb3c2022dca1998354ea61c7f","sha256:b1abcf1f760ff002205ffd28a73dbc5a019762fdfb2cc2f14c45f16829fd14a4"],"state_sha256":"f718c46c1c6f3162d605d4edef15e2455dcfed05b08e20e23af20ca925a05ba9"}