{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:XADII3WDN56XOORKQ2HQMMPP74","short_pith_number":"pith:XADII3WD","canonical_record":{"source":{"id":"astro-ph/9403035","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-17T08:10:57Z","cross_cats_sorted":[],"title_canon_sha256":"0bff3f67a562dfa9b0431a9e658c06ed3a258489bc94ba5339a8d50268aaef24","abstract_canon_sha256":"ae29bc03ab1aeb49f0616a3cb9806134200cce6e2abc9bfb370d62af7cda922b"},"schema_version":"1.0"},"canonical_sha256":"b806846ec36f7d773a2a868f0631efff2fe059dfbcf8fb7bfcc91d289a739457","source":{"kind":"arxiv","id":"astro-ph/9403035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9403035","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9403035v1","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9403035","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"XADII3WDN56X","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"XADII3WDN56XOORK","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"XADII3WD","created_at":"2026-07-04T15:21:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:XADII3WDN56XOORKQ2HQMMPP74","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9403035","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-17T08:10:57Z","cross_cats_sorted":[],"title_canon_sha256":"0bff3f67a562dfa9b0431a9e658c06ed3a258489bc94ba5339a8d50268aaef24","abstract_canon_sha256":"ae29bc03ab1aeb49f0616a3cb9806134200cce6e2abc9bfb370d62af7cda922b"},"schema_version":"1.0"},"canonical_sha256":"b806846ec36f7d773a2a868f0631efff2fe059dfbcf8fb7bfcc91d289a739457","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:21:30.159320Z","signature_b64":"EqrnMiJep4bxkMqcIkou8tQzM3ppDaALplIUVOBzLcC8cMb5QEuekJKJrkeWggsbfe6naYmfwCDHZUP9jU5xAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b806846ec36f7d773a2a868f0631efff2fe059dfbcf8fb7bfcc91d289a739457","last_reissued_at":"2026-07-04T15:21:30.158919Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:21:30.158919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9403035","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YG+3Jtq1qJ2xKXoqGdVq1pNGjkyYNhqCFFFDwLfyD4mucqp0pc3x6kkBqHRZ8fvU0EF+WWsF431DySerNZ6FBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:10:06.904163Z"},"content_sha256":"64472c57bd99deb7a342191b27a1b4b5f69f8dc65087b26e0bd6580833e86255","schema_version":"1.0","event_id":"sha256:64472c57bd99deb7a342191b27a1b4b5f69f8dc65087b26e0bd6580833e86255"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:XADII3WDN56XOORKQ2HQMMPP74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kurtosis as a Non--Gaussian Signature of the Large--Scale Velocity Field","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Lauro Moscardini, Paolo Catelan","submitted_at":"1994-03-17T08:10:57Z","abstract_excerpt":"We discuss the non--linear growth of the kurtosis of the smoothed peculiar velocity field (along an arbitrary direction), in an Einstein--de Sitter universe, induced by Gaussian primordial density fluctuations. Applying the perturbative theory, we show that, for different cosmological models, a departure from the original Gaussian distribution is gravitationally induced only on small scales ($\\simlt 20-30$ Mpc). Models with scale--free power spectrum $P(k)\\propto k^{\\,n}$, with $-1< n \\leq 1$, are also considered. When the fluid particles move according to the Zel'dovich approximation the prob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9403035","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/9403035/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uHnw/YJRjDtVe/kUexsR/xfeLknnayBQQKInAwT508tIok/pwqy2VEakoH6BdgDE7uUmFX+FqZNA9SZLMuhuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:10:06.906529Z"},"content_sha256":"f18b1002a93d4ecc38d484242d5afe6c94e9a65680997a3d1d9a3872c634f305","schema_version":"1.0","event_id":"sha256:f18b1002a93d4ecc38d484242d5afe6c94e9a65680997a3d1d9a3872c634f305"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XADII3WDN56XOORKQ2HQMMPP74/bundle.json","state_url":"https://pith.science/pith/XADII3WDN56XOORKQ2HQMMPP74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XADII3WDN56XOORKQ2HQMMPP74/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":"2026-07-06T08:10:06Z","links":{"resolver":"https://pith.science/pith/XADII3WDN56XOORKQ2HQMMPP74","bundle":"https://pith.science/pith/XADII3WDN56XOORKQ2HQMMPP74/bundle.json","state":"https://pith.science/pith/XADII3WDN56XOORKQ2HQMMPP74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XADII3WDN56XOORKQ2HQMMPP74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:XADII3WDN56XOORKQ2HQMMPP74","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":"ae29bc03ab1aeb49f0616a3cb9806134200cce6e2abc9bfb370d62af7cda922b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-17T08:10:57Z","title_canon_sha256":"0bff3f67a562dfa9b0431a9e658c06ed3a258489bc94ba5339a8d50268aaef24"},"schema_version":"1.0","source":{"id":"astro-ph/9403035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9403035","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9403035v1","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9403035","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"XADII3WDN56X","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"XADII3WDN56XOORK","created_at":"2026-07-04T15:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"XADII3WD","created_at":"2026-07-04T15:21:30Z"}],"graph_snapshots":[{"event_id":"sha256:f18b1002a93d4ecc38d484242d5afe6c94e9a65680997a3d1d9a3872c634f305","target":"graph","created_at":"2026-07-04T15:21:30Z","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/9403035/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the non--linear growth of the kurtosis of the smoothed peculiar velocity field (along an arbitrary direction), in an Einstein--de Sitter universe, induced by Gaussian primordial density fluctuations. Applying the perturbative theory, we show that, for different cosmological models, a departure from the original Gaussian distribution is gravitationally induced only on small scales ($\\simlt 20-30$ Mpc). Models with scale--free power spectrum $P(k)\\propto k^{\\,n}$, with $-1< n \\leq 1$, are also considered. When the fluid particles move according to the Zel'dovich approximation the prob","authors_text":"Lauro Moscardini, Paolo Catelan","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1994-03-17T08:10:57Z","title":"Kurtosis as a Non--Gaussian Signature of the Large--Scale Velocity Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9403035","kind":"arxiv","version":1},"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":"sha256:64472c57bd99deb7a342191b27a1b4b5f69f8dc65087b26e0bd6580833e86255","target":"record","created_at":"2026-07-04T15:21:30Z","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":"ae29bc03ab1aeb49f0616a3cb9806134200cce6e2abc9bfb370d62af7cda922b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-17T08:10:57Z","title_canon_sha256":"0bff3f67a562dfa9b0431a9e658c06ed3a258489bc94ba5339a8d50268aaef24"},"schema_version":"1.0","source":{"id":"astro-ph/9403035","kind":"arxiv","version":1}},"canonical_sha256":"b806846ec36f7d773a2a868f0631efff2fe059dfbcf8fb7bfcc91d289a739457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b806846ec36f7d773a2a868f0631efff2fe059dfbcf8fb7bfcc91d289a739457","first_computed_at":"2026-07-04T15:21:30.158919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:21:30.158919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EqrnMiJep4bxkMqcIkou8tQzM3ppDaALplIUVOBzLcC8cMb5QEuekJKJrkeWggsbfe6naYmfwCDHZUP9jU5xAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:21:30.159320Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9403035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64472c57bd99deb7a342191b27a1b4b5f69f8dc65087b26e0bd6580833e86255","sha256:f18b1002a93d4ecc38d484242d5afe6c94e9a65680997a3d1d9a3872c634f305"],"state_sha256":"18b535e4ca42067c0a870df5cdddad3044649db86b25adc7b8b5c2fb80b436fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yix3BlKUb8XHl5MaF+La3RQAFkf/oWLPq2X6quMHH9D8/h0WXfHiWZpxkPDCCLDXB8mE0o4zo8gHk489MPuAAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T08:10:06.908707Z","bundle_sha256":"01f9db5e26526b90940976fe27dd638ccb6f7684507435b2f9a7efc59b3dd14d"}}