{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OTCFAHCHSDLTFMJ5YUEDECT34R","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":"8e2002796c2d075fbecc594ca98ca8e016d68ec2c56fe88eddf81b7effcaae44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-01T20:00:05Z","title_canon_sha256":"1bcffb4ed6ce9cb32043dedadbb3c00c39d09cd708f83166532962d0f4db9d90"},"schema_version":"1.0","source":{"id":"1010.0251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0251","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0251v1","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0251","created_at":"2026-05-18T04:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"OTCFAHCHSDLT","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OTCFAHCHSDLTFMJ5","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OTCFAHCH","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:bd074ec2e136626582c17a86fa31698a27d39e41bfe665ccd8db43dfaeb7239a","target":"graph","created_at":"2026-05-18T04:30:12Z","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":"Minimum-variance estimators for the parameter fnl that quantifies local-model non-Gaussianity can be constructed from the cosmic microwave background (CMB) bispectrum (three-point function) and also from the trispectrum (four-point function). Some have suggested that a comparison between the estimates for the values of fnl from the bispectrum and trispectrum allow a consistency test for the model. But others argue that the saturation of the Cramer-Rao bound by the bispectrum estimator implies that no further information on fnl can be obtained from the trispectrum. Here we elaborate the nature ","authors_text":"Alan Heavens, Marc Kamionkowski, Tristan L. Smith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-01T20:00:05Z","title":"The CMB Bispectrum, Trispectrum, non-Gaussianity, and the Cramer-Rao Bound"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0251","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:b540d8ac9a1323c956054ee1862494c962c7bdff151a6f6e900464cfe2802d1e","target":"record","created_at":"2026-05-18T04:30:12Z","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":"8e2002796c2d075fbecc594ca98ca8e016d68ec2c56fe88eddf81b7effcaae44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-01T20:00:05Z","title_canon_sha256":"1bcffb4ed6ce9cb32043dedadbb3c00c39d09cd708f83166532962d0f4db9d90"},"schema_version":"1.0","source":{"id":"1010.0251","kind":"arxiv","version":1}},"canonical_sha256":"74c4501c4790d732b13dc508320a7be46a0a904cc87435258f8f05ae56c74be8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74c4501c4790d732b13dc508320a7be46a0a904cc87435258f8f05ae56c74be8","first_computed_at":"2026-05-18T04:30:12.164935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:12.164935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ShoAtdo7EWXlR+vjvkBk/xsi4wyW5aeYsLumQJG7120dJZnLJUjQHF+e20G9Ba4pZJYJo9SO0XK/UvAMIR5EBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:12.165753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b540d8ac9a1323c956054ee1862494c962c7bdff151a6f6e900464cfe2802d1e","sha256:bd074ec2e136626582c17a86fa31698a27d39e41bfe665ccd8db43dfaeb7239a"],"state_sha256":"792b4e0d7dbe6b207f6f692b76e79131839a995366734ce29915e3a9f5b89a75"}