{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QY3JDUTPKJAD3N7BLSAVV5ZUG7","short_pith_number":"pith:QY3JDUTP","canonical_record":{"source":{"id":"1306.5064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-21T07:18:05Z","cross_cats_sorted":[],"title_canon_sha256":"99215c2dd917bd8880cfaf94849f90c33f04b97d7c569f87b6ae1e2a6f5a0d63","abstract_canon_sha256":"8e4914c59471aed9e017c8788df9a025f218f795bf4f1a3bd0fa2c06acca2817"},"schema_version":"1.0"},"canonical_sha256":"863691d26f52403db7e15c815af73437ed46ea0343fa923afe4ae33f043ea9b5","source":{"kind":"arxiv","id":"1306.5064","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5064","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5064v2","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5064","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"QY3JDUTPKJAD","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QY3JDUTPKJAD3N7B","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QY3JDUTP","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QY3JDUTPKJAD3N7BLSAVV5ZUG7","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-21T07:18:05Z","cross_cats_sorted":[],"title_canon_sha256":"99215c2dd917bd8880cfaf94849f90c33f04b97d7c569f87b6ae1e2a6f5a0d63","abstract_canon_sha256":"8e4914c59471aed9e017c8788df9a025f218f795bf4f1a3bd0fa2c06acca2817"},"schema_version":"1.0"},"canonical_sha256":"863691d26f52403db7e15c815af73437ed46ea0343fa923afe4ae33f043ea9b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:14.090449Z","signature_b64":"svRvbMSIvUpbKgDTeiX8f40ExpHYYEuLoxoRCf7e5IqvMxwnYZbDgKpIsO5eMd8/hQHPEpZ06OUIsBLoKTxQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"863691d26f52403db7e15c815af73437ed46ea0343fa923afe4ae33f043ea9b5","last_reissued_at":"2026-05-18T01:49:14.090003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:14.090003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5064","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTR3wV70iDBuAuImRrfvn6mPEE4K+IjKHMhWhxc0EoWVWojLsroHgLuSZV1ETT8ZU5i1ozmNg4ju3f1Rb6ytDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:36:17.600576Z"},"content_sha256":"b97a9765e7acb2d8139c167ef425bb194a25393d6d00fd616b4c3380637360b1","schema_version":"1.0","event_id":"sha256:b97a9765e7acb2d8139c167ef425bb194a25393d6d00fd616b4c3380637360b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QY3JDUTPKJAD3N7BLSAVV5ZUG7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Likelihood of the Power Spectrum in Cosmological Parameter Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"H. Zhan, L. Sun, Q. Wang","submitted_at":"2013-06-21T07:18:05Z","abstract_excerpt":"The likelihood function is a crucial element of parameter estimation. In analyses of galaxy overdensities and weak lensing shear, one often approximates the likelihood of the power spectrum with a Gaussian distribution. The posterior probability derived from such a likelihood deviates considerably from the exact posterior on the largest scales probed by any survey, where the central limit theorem does not apply. We show that various forms of Gaussian likelihoods can have a significant impact on the estimation of the primordial non-Gaussianity parameter f_NL from the galaxy angular power spectr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5064","kind":"arxiv","version":2},"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":"2026-05-18T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aa1ekLTPiwH/1q1/xikJZ8MR+A4/Dd1fpu69KuWUCLOsAJC1vQUdAd840Ji6HkxGDPpP0gn2tgLCvTLdAlavCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:36:17.601259Z"},"content_sha256":"3fc209cdc066dbf2246d4269643363cd2d86e3916e20db97be277272b2b91351","schema_version":"1.0","event_id":"sha256:3fc209cdc066dbf2246d4269643363cd2d86e3916e20db97be277272b2b91351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/bundle.json","state_url":"https://pith.science/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/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":"2026-05-25T16:36:17Z","links":{"resolver":"https://pith.science/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7","bundle":"https://pith.science/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/bundle.json","state":"https://pith.science/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QY3JDUTPKJAD3N7BLSAVV5ZUG7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QY3JDUTPKJAD3N7BLSAVV5ZUG7","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":"8e4914c59471aed9e017c8788df9a025f218f795bf4f1a3bd0fa2c06acca2817","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-21T07:18:05Z","title_canon_sha256":"99215c2dd917bd8880cfaf94849f90c33f04b97d7c569f87b6ae1e2a6f5a0d63"},"schema_version":"1.0","source":{"id":"1306.5064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5064","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5064v2","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5064","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"QY3JDUTPKJAD","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QY3JDUTPKJAD3N7B","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QY3JDUTP","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:3fc209cdc066dbf2246d4269643363cd2d86e3916e20db97be277272b2b91351","target":"graph","created_at":"2026-05-18T01:49:14Z","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 likelihood function is a crucial element of parameter estimation. In analyses of galaxy overdensities and weak lensing shear, one often approximates the likelihood of the power spectrum with a Gaussian distribution. The posterior probability derived from such a likelihood deviates considerably from the exact posterior on the largest scales probed by any survey, where the central limit theorem does not apply. We show that various forms of Gaussian likelihoods can have a significant impact on the estimation of the primordial non-Gaussianity parameter f_NL from the galaxy angular power spectr","authors_text":"H. Zhan, L. Sun, Q. Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-21T07:18:05Z","title":"Likelihood of the Power Spectrum in Cosmological Parameter Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5064","kind":"arxiv","version":2},"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:b97a9765e7acb2d8139c167ef425bb194a25393d6d00fd616b4c3380637360b1","target":"record","created_at":"2026-05-18T01:49:14Z","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":"8e4914c59471aed9e017c8788df9a025f218f795bf4f1a3bd0fa2c06acca2817","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-21T07:18:05Z","title_canon_sha256":"99215c2dd917bd8880cfaf94849f90c33f04b97d7c569f87b6ae1e2a6f5a0d63"},"schema_version":"1.0","source":{"id":"1306.5064","kind":"arxiv","version":2}},"canonical_sha256":"863691d26f52403db7e15c815af73437ed46ea0343fa923afe4ae33f043ea9b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"863691d26f52403db7e15c815af73437ed46ea0343fa923afe4ae33f043ea9b5","first_computed_at":"2026-05-18T01:49:14.090003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:14.090003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"svRvbMSIvUpbKgDTeiX8f40ExpHYYEuLoxoRCf7e5IqvMxwnYZbDgKpIsO5eMd8/hQHPEpZ06OUIsBLoKTxQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:14.090449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b97a9765e7acb2d8139c167ef425bb194a25393d6d00fd616b4c3380637360b1","sha256:3fc209cdc066dbf2246d4269643363cd2d86e3916e20db97be277272b2b91351"],"state_sha256":"d504f6e83b390cf93a12f00c69222e8378cf7267ed227e8ad373861880e8be17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aGlFy0ynTOJA/Jf8GFYRi2gNEMOe+NRzCzmpfJPjLmB1gUB8AK+yy7xH8YrVHgWSZAvp62orw+SXtoq74vPkAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:36:17.605352Z","bundle_sha256":"0817fb69b7f1517f48e11113bcc16e494dfe4970448337afa7caea6efd07a077"}}