{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2G7SG5UQDBBHQ3CER6OHI7LSMQ","short_pith_number":"pith:2G7SG5UQ","schema_version":"1.0","canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","source":{"kind":"arxiv","id":"1803.02132","version":3},"attestation_state":"computed","paper":{"title":"A complete FFT-based decomposition formalism for the redshift-space bispectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Florian Beutler, Hee-Jong Seo, Naonori S. Sugiyama, Shun Saito","submitted_at":"2018-03-06T11:50:25Z","abstract_excerpt":"To fully extract cosmological information from nonlinear galaxy distribution in redshift space, it is essential to include higher-order statistics beyond the two-point correlation function. In this paper, we propose a new decomposition formalism for computing the anisotropic bispectrum in redshift space and for measuring it from galaxy samples. Our formalism uses tri-polar spherical harmonic decomposition with zero total angular momentum to compress the 3D modes distribution in the redshift-space bispectrum. This approach preserves three fundamental properties of the Universe: statistical homo"},"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":"1803.02132","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-03-06T11:50:25Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"170160dce971863c4051700d419643764e9a579cd8dbca643d9404eace488e4e","abstract_canon_sha256":"87ecdcc58d154d3a3a14c19ca984dd6e9adb35c2ef47d827144afd0655cb2be8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:58:02.959362Z","signature_b64":"RkiidAQng6fpOw+mSWS39GyITLloBBJgqfaZQ81Rf2UqBnm6OQadsevLyf5KnUlEwLXc7eMqerA9T7+HzFGbCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","last_reissued_at":"2026-07-04T23:58:02.958860Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:58:02.958860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A complete FFT-based decomposition formalism for the redshift-space bispectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Florian Beutler, Hee-Jong Seo, Naonori S. Sugiyama, Shun Saito","submitted_at":"2018-03-06T11:50:25Z","abstract_excerpt":"To fully extract cosmological information from nonlinear galaxy distribution in redshift space, it is essential to include higher-order statistics beyond the two-point correlation function. In this paper, we propose a new decomposition formalism for computing the anisotropic bispectrum in redshift space and for measuring it from galaxy samples. Our formalism uses tri-polar spherical harmonic decomposition with zero total angular momentum to compress the 3D modes distribution in the redshift-space bispectrum. This approach preserves three fundamental properties of the Universe: statistical homo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02132","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1803.02132/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":"1803.02132","created_at":"2026-07-04T23:58:02.958918+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.02132v3","created_at":"2026-07-04T23:58:02.958918+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02132","created_at":"2026-07-04T23:58:02.958918+00:00"},{"alias_kind":"pith_short_12","alias_value":"2G7SG5UQDBBH","created_at":"2026-07-04T23:58:02.958918+00:00"},{"alias_kind":"pith_short_16","alias_value":"2G7SG5UQDBBHQ3CE","created_at":"2026-07-04T23:58:02.958918+00:00"},{"alias_kind":"pith_short_8","alias_value":"2G7SG5UQ","created_at":"2026-07-04T23:58:02.958918+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2408.03036","citing_title":"Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08895","citing_title":"FolpsD: combining EFT and phenomenological approaches for joint power spectrum and bispectrum analyses","ref_index":61,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ","json":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ.json","graph_json":"https://pith.science/api/pith-number/2G7SG5UQDBBHQ3CER6OHI7LSMQ/graph.json","events_json":"https://pith.science/api/pith-number/2G7SG5UQDBBHQ3CER6OHI7LSMQ/events.json","paper":"https://pith.science/paper/2G7SG5UQ"},"agent_actions":{"view_html":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ","download_json":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ.json","view_paper":"https://pith.science/paper/2G7SG5UQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.02132&json=true","fetch_graph":"https://pith.science/api/pith-number/2G7SG5UQDBBHQ3CER6OHI7LSMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/2G7SG5UQDBBHQ3CER6OHI7LSMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/action/storage_attestation","attest_author":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/action/author_attestation","sign_citation":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/action/citation_signature","submit_replication":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/action/replication_record"}},"created_at":"2026-07-04T23:58:02.958918+00:00","updated_at":"2026-07-04T23:58:02.958918+00:00"}