{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GOSX7WUT2ZCKQMQDKZVWR7L636","short_pith_number":"pith:GOSX7WUT","canonical_record":{"source":{"id":"1204.4724","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-04-20T20:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"27079d4a43c646468c6c8593352ab31dc2da210ef302056925078ca84f3f78fc","abstract_canon_sha256":"02ac5df98f4424b8f95b920634772b3726578dec6727386ca22a2f0b7f35291b"},"schema_version":"1.0"},"canonical_sha256":"33a57fda93d644a83203566b68fd7edfb88db81b24bf88e493c950fec8319e7a","source":{"kind":"arxiv","id":"1204.4724","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4724","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4724v3","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4724","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"GOSX7WUT2ZCK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GOSX7WUT2ZCKQMQD","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GOSX7WUT","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GOSX7WUT2ZCKQMQDKZVWR7L636","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4724","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-04-20T20:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"27079d4a43c646468c6c8593352ab31dc2da210ef302056925078ca84f3f78fc","abstract_canon_sha256":"02ac5df98f4424b8f95b920634772b3726578dec6727386ca22a2f0b7f35291b"},"schema_version":"1.0"},"canonical_sha256":"33a57fda93d644a83203566b68fd7edfb88db81b24bf88e493c950fec8319e7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:42.883872Z","signature_b64":"GC6d9jxWJgZteZxdOEvd9aLuvGjxnEb9AnckxJtMA8Rg2+Iktx4lc/IjCxSpPoaFaZA5+0TmdeXmjBsQFaIGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33a57fda93d644a83203566b68fd7edfb88db81b24bf88e493c950fec8319e7a","last_reissued_at":"2026-05-18T03:27:42.883354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:42.883354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4724","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":"2026-05-18T03:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWLN1pzRmIS0Dssg2bsnCOsA9clXCoQ+Psh9HXum6ykofEDfo7eHdHmWnllZhmj+7xtajiPRH3hMappQtbb+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:48:13.390383Z"},"content_sha256":"96910d6f614c6af2004c3477bd34c994b3e16c9e28f7152a2f37db7e14cb4913","schema_version":"1.0","event_id":"sha256:96910d6f614c6af2004c3477bd34c994b3e16c9e28f7152a2f37db7e14cb4913"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GOSX7WUT2ZCKQMQDKZVWR7L636","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Julien Carron","submitted_at":"2012-04-20T20:00:01Z","abstract_excerpt":"In this brief paper we revisit the Fisher information content of cosmological power spectra or two-point functions of Gaussian fields in order to comment on the assumption of Gaussian estimators and the use of parameter-dependent covariance matrices for parameter inference in the context of precision cosmology. Even though the assumption of a Gaussian likelihood is motivated by the central limit theorem, we discuss that it leads to Fisher information content that violates the Cram\\'er-Rao bound if used consistently, owing to independent but artificial information from the parameter-dependent c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4724","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":"2026-05-18T03:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/fhaIT+F8Tu0kAxaCanDt1QqZBnH/7xCcVdJGG0uM2vNoMnDfIUjJRiAejjWZRh0Nx5+xSJ41NcuENXxxFe1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:48:13.391050Z"},"content_sha256":"2279ea7609d364fcbdb693afcb7308cf37939d4c9557f8c21b67fb2d76a3f3c7","schema_version":"1.0","event_id":"sha256:2279ea7609d364fcbdb693afcb7308cf37939d4c9557f8c21b67fb2d76a3f3c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/bundle.json","state_url":"https://pith.science/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/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":"2026-06-05T05:48:13Z","links":{"resolver":"https://pith.science/pith/GOSX7WUT2ZCKQMQDKZVWR7L636","bundle":"https://pith.science/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/bundle.json","state":"https://pith.science/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GOSX7WUT2ZCKQMQDKZVWR7L636/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GOSX7WUT2ZCKQMQDKZVWR7L636","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":"02ac5df98f4424b8f95b920634772b3726578dec6727386ca22a2f0b7f35291b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-04-20T20:00:01Z","title_canon_sha256":"27079d4a43c646468c6c8593352ab31dc2da210ef302056925078ca84f3f78fc"},"schema_version":"1.0","source":{"id":"1204.4724","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4724","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4724v3","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4724","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"GOSX7WUT2ZCK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GOSX7WUT2ZCKQMQD","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GOSX7WUT","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:2279ea7609d364fcbdb693afcb7308cf37939d4c9557f8c21b67fb2d76a3f3c7","target":"graph","created_at":"2026-05-18T03:27:42Z","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":"In this brief paper we revisit the Fisher information content of cosmological power spectra or two-point functions of Gaussian fields in order to comment on the assumption of Gaussian estimators and the use of parameter-dependent covariance matrices for parameter inference in the context of precision cosmology. Even though the assumption of a Gaussian likelihood is motivated by the central limit theorem, we discuss that it leads to Fisher information content that violates the Cram\\'er-Rao bound if used consistently, owing to independent but artificial information from the parameter-dependent c","authors_text":"Julien Carron","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-04-20T20:00:01Z","title":"On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4724","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":"sha256:96910d6f614c6af2004c3477bd34c994b3e16c9e28f7152a2f37db7e14cb4913","target":"record","created_at":"2026-05-18T03:27:42Z","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":"02ac5df98f4424b8f95b920634772b3726578dec6727386ca22a2f0b7f35291b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-04-20T20:00:01Z","title_canon_sha256":"27079d4a43c646468c6c8593352ab31dc2da210ef302056925078ca84f3f78fc"},"schema_version":"1.0","source":{"id":"1204.4724","kind":"arxiv","version":3}},"canonical_sha256":"33a57fda93d644a83203566b68fd7edfb88db81b24bf88e493c950fec8319e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33a57fda93d644a83203566b68fd7edfb88db81b24bf88e493c950fec8319e7a","first_computed_at":"2026-05-18T03:27:42.883354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:42.883354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GC6d9jxWJgZteZxdOEvd9aLuvGjxnEb9AnckxJtMA8Rg2+Iktx4lc/IjCxSpPoaFaZA5+0TmdeXmjBsQFaIGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:42.883872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4724","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96910d6f614c6af2004c3477bd34c994b3e16c9e28f7152a2f37db7e14cb4913","sha256:2279ea7609d364fcbdb693afcb7308cf37939d4c9557f8c21b67fb2d76a3f3c7"],"state_sha256":"50434cdc1ab3e04d47b0ca7c21721fbd83d3ecdb6bf84bfb6711cb150002fb54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ky7Ccr57pP7gQ3kixaR4hJXhqFhvdYRN9WSGS5sTPXt5S6A7v1giTT4twjNYPRw4PtWescyiev3xQ5PtlknlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:48:13.394481Z","bundle_sha256":"5f8452204c1ceaf69d2b62c9994c0b48f1c3387a45e58f2a5d0038b934404a3e"}}