{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CU5FZUVVHNLSGZHOJDKKAMFHZY","short_pith_number":"pith:CU5FZUVV","canonical_record":{"source":{"id":"1109.3196","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-14T20:01:09Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"2784ad8570878e9e0606adf933627c2910b7af11fa62d59593f17564aee969e9","abstract_canon_sha256":"fe0037bf789bfc3da718eca7055a76d698b5324bd75c8ca2f4b0ccad002832f6"},"schema_version":"1.0"},"canonical_sha256":"153a5cd2b53b572364ee48d4a030a7ce24fea9fb4e1de0c7ca9379f8db081ed0","source":{"kind":"arxiv","id":"1109.3196","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CU5FZUVVHNLSGZHOJDKKAMFHZY","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3196","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-09-14T20:01:09Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"2784ad8570878e9e0606adf933627c2910b7af11fa62d59593f17564aee969e9","abstract_canon_sha256":"fe0037bf789bfc3da718eca7055a76d698b5324bd75c8ca2f4b0ccad002832f6"},"schema_version":"1.0"},"canonical_sha256":"153a5cd2b53b572364ee48d4a030a7ce24fea9fb4e1de0c7ca9379f8db081ed0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:47.013423Z","signature_b64":"Vt74lnyPBRwlCLn9YP167rIWCxn8BrUFeaVQ+NMlGqeHhf9/vGXWVD1SKw3VtrZ2VTi8RuzDNeevp6GyMG9RDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"153a5cd2b53b572364ee48d4a030a7ce24fea9fb4e1de0c7ca9379f8db081ed0","last_reissued_at":"2026-05-18T03:55:47.012959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:47.012959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3196","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWrpshq25jYwZL5rIPBv6PQHxItB8ho7vdt7sHWoaAE4MnTuDS8LB38uGAh4Ds8dWtu610Ptt3f4IP2IK+fzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:34:45.180621Z"},"content_sha256":"b497c98539597c0ed3671785c75c86875bb531eeb3c2022dca1998354ea61c7f","schema_version":"1.0","event_id":"sha256:b497c98539597c0ed3671785c75c86875bb531eeb3c2022dca1998354ea61c7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CU5FZUVVHNLSGZHOJDKKAMFHZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Ixandra Achitouv, Pier Stefano Corasaniti","submitted_at":"2011-09-14T20:01:09Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3196","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Y2e+H6g4n9guNUSRdkS0cqLOfa8YOCiRXfp2+sBzEbQUCpGS6cbnDi0MgY+WkBdEGzwfD5ym4iye51VoR88CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:34:45.181016Z"},"content_sha256":"b1abcf1f760ff002205ffd28a73dbc5a019762fdfb2cc2f14c45f16829fd14a4","schema_version":"1.0","event_id":"sha256:b1abcf1f760ff002205ffd28a73dbc5a019762fdfb2cc2f14c45f16829fd14a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/bundle.json","state_url":"https://pith.science/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T05:34:45Z","links":{"resolver":"https://pith.science/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY","bundle":"https://pith.science/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/bundle.json","state":"https://pith.science/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CU5FZUVVHNLSGZHOJDKKAMFHZY/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NbL6uW1rePDPSi/7iMqMW3UBrKNlJp/j3BBVsh1N/oZambWsM/Rob7JawVT5PkYKxEoFlI2bX3kJZUBtSWCaCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T05:34:45.184837Z","bundle_sha256":"56205815f46d17c6375cab8552013c5a7bab08b833670103c2483439858935ed"}}