{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:PI4ENKII2TEFP6CSY4W24KDGS4","short_pith_number":"pith:PI4ENKII","schema_version":"1.0","canonical_sha256":"7a3846a908d4c857f852c72dae28669736f45082c1c645c43163d5c264a1aaac","source":{"kind":"arxiv","id":"1908.06234","version":2},"attestation_state":"computed","paper":{"title":"Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Florian Beutler, Hee-Jong Seo, Naonori S. Sugiyama, Shun Saito","submitted_at":"2019-08-17T04:16:36Z","abstract_excerpt":"In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation theory (PT). To quantify the redshift-space distortion effect, we focus mainly on the monopole and quadrupole components of both the power and bispectra. We, for the first time, compute the 5- and 6-point spectra to predict the cross-covariance between the power and bispectra, and the auto-covariance of the bispectrum in redshift space. We test the validity of ou"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.06234","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-08-17T04:16:36Z","cross_cats_sorted":[],"title_canon_sha256":"7d1fa0473859fb47e09566e7cd2e30b38b7f9b1cedfff46237af0f19fa86e661","abstract_canon_sha256":"5b8203afca97605f4d385e0b043f0fdcc32a4611bd7cd0280b2759f96af4bccb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:37.875745Z","signature_b64":"zXZRIxEZIkIpNXfsPsnJkHN69EJKSDgfwgIn/XYNYIQsdKGubY6E74HCIqwv3a5tFwJeTBEqvPge4XS29VtODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a3846a908d4c857f852c72dae28669736f45082c1c645c43163d5c264a1aaac","last_reissued_at":"2026-07-05T01:18:37.875344Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:37.875344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Florian Beutler, Hee-Jong Seo, Naonori S. Sugiyama, Shun Saito","submitted_at":"2019-08-17T04:16:36Z","abstract_excerpt":"In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation theory (PT). To quantify the redshift-space distortion effect, we focus mainly on the monopole and quadrupole components of both the power and bispectra. We, for the first time, compute the 5- and 6-point spectra to predict the cross-covariance between the power and bispectra, and the auto-covariance of the bispectrum in redshift space. We test the validity of ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06234","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.06234/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.06234","created_at":"2026-07-05T01:18:37.875400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.06234v2","created_at":"2026-07-05T01:18:37.875400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06234","created_at":"2026-07-05T01:18:37.875400+00:00"},{"alias_kind":"pith_short_12","alias_value":"PI4ENKII2TEF","created_at":"2026-07-05T01:18:37.875400+00:00"},{"alias_kind":"pith_short_16","alias_value":"PI4ENKII2TEFP6CS","created_at":"2026-07-05T01:18:37.875400+00:00"},{"alias_kind":"pith_short_8","alias_value":"PI4ENKII","created_at":"2026-07-05T01:18:37.875400+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4","json":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4.json","graph_json":"https://pith.science/api/pith-number/PI4ENKII2TEFP6CSY4W24KDGS4/graph.json","events_json":"https://pith.science/api/pith-number/PI4ENKII2TEFP6CSY4W24KDGS4/events.json","paper":"https://pith.science/paper/PI4ENKII"},"agent_actions":{"view_html":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4","download_json":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4.json","view_paper":"https://pith.science/paper/PI4ENKII","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.06234&json=true","fetch_graph":"https://pith.science/api/pith-number/PI4ENKII2TEFP6CSY4W24KDGS4/graph.json","fetch_events":"https://pith.science/api/pith-number/PI4ENKII2TEFP6CSY4W24KDGS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4/action/storage_attestation","attest_author":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4/action/author_attestation","sign_citation":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4/action/citation_signature","submit_replication":"https://pith.science/pith/PI4ENKII2TEFP6CSY4W24KDGS4/action/replication_record"}},"created_at":"2026-07-05T01:18:37.875400+00:00","updated_at":"2026-07-05T01:18:37.875400+00:00"}