{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2G7SG5UQDBBHQ3CER6OHI7LSMQ","short_pith_number":"pith:2G7SG5UQ","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"},"canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","source":{"kind":"arxiv","id":"1803.02132","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02132","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02132v3","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02132","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_12","alias_value":"2G7SG5UQDBBH","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_16","alias_value":"2G7SG5UQDBBHQ3CE","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_8","alias_value":"2G7SG5UQ","created_at":"2026-07-04T23:58:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2G7SG5UQDBBHQ3CER6OHI7LSMQ","target":"record","payload":{"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"},"canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","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"},"source_kind":"arxiv","source_id":"1803.02132","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":"2026-07-04T23:58:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7B0XZ8hbyuS2IQACOS9v9Sbj3dCM2Uwz0GUOcxFNlCBXM39eKUyXoA7RLl5OneY3wkqgQqPlJoUNfMoegfDNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T10:03:27.143632Z"},"content_sha256":"0ebf3be14780a85c04c225436602ea5e637d292b760ca01816ddcdc06988f30b","schema_version":"1.0","event_id":"sha256:0ebf3be14780a85c04c225436602ea5e637d292b760ca01816ddcdc06988f30b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2G7SG5UQDBBHQ3CER6OHI7LSMQ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:58:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SEo7tjSK3zxzsKhXA/GrCccKXq+5Td5ni3SAE4aJLqeT5Gx6YUxqSx7HNNqfhR6Foa6ppO3u2qWMlEXF3jSODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T10:03:27.144396Z"},"content_sha256":"292774562f0040cd39287b09a090776d9ffa46bf17f2e6a010aaea12576d9a0e","schema_version":"1.0","event_id":"sha256:292774562f0040cd39287b09a090776d9ffa46bf17f2e6a010aaea12576d9a0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/bundle.json","state_url":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/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":"2026-08-01T10:03:27Z","links":{"resolver":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ","bundle":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/bundle.json","state":"https://pith.science/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2G7SG5UQDBBHQ3CER6OHI7LSMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2G7SG5UQDBBHQ3CER6OHI7LSMQ","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":"87ecdcc58d154d3a3a14c19ca984dd6e9adb35c2ef47d827144afd0655cb2be8","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-03-06T11:50:25Z","title_canon_sha256":"170160dce971863c4051700d419643764e9a579cd8dbca643d9404eace488e4e"},"schema_version":"1.0","source":{"id":"1803.02132","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02132","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02132v3","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02132","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_12","alias_value":"2G7SG5UQDBBH","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_16","alias_value":"2G7SG5UQDBBHQ3CE","created_at":"2026-07-04T23:58:02Z"},{"alias_kind":"pith_short_8","alias_value":"2G7SG5UQ","created_at":"2026-07-04T23:58:02Z"}],"graph_snapshots":[{"event_id":"sha256:292774562f0040cd39287b09a090776d9ffa46bf17f2e6a010aaea12576d9a0e","target":"graph","created_at":"2026-07-04T23:58:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1803.02132/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Florian Beutler, Hee-Jong Seo, Naonori S. Sugiyama, Shun Saito","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-03-06T11:50:25Z","title":"A complete FFT-based decomposition formalism for the redshift-space bispectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02132","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":"sha256:0ebf3be14780a85c04c225436602ea5e637d292b760ca01816ddcdc06988f30b","target":"record","created_at":"2026-07-04T23:58:02Z","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":"87ecdcc58d154d3a3a14c19ca984dd6e9adb35c2ef47d827144afd0655cb2be8","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-03-06T11:50:25Z","title_canon_sha256":"170160dce971863c4051700d419643764e9a579cd8dbca643d9404eace488e4e"},"schema_version":"1.0","source":{"id":"1803.02132","kind":"arxiv","version":3}},"canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1bf2376901842786c448f9c747d7264085a2ea6a6c4a2d1365f13d6f79b972e","first_computed_at":"2026-07-04T23:58:02.958860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:58:02.958860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RkiidAQng6fpOw+mSWS39GyITLloBBJgqfaZQ81Rf2UqBnm6OQadsevLyf5KnUlEwLXc7eMqerA9T7+HzFGbCw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:58:02.959362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02132","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ebf3be14780a85c04c225436602ea5e637d292b760ca01816ddcdc06988f30b","sha256:292774562f0040cd39287b09a090776d9ffa46bf17f2e6a010aaea12576d9a0e"],"state_sha256":"87396bdefb20ebfde6b87542e2a5d00577aa8cfe3778f32657ab9955a1b946d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iexHNF2kb6tQv8IpgDfCc7N4maSqsWzHYDR7hT6g7aABrWL0n98EECkwZoXg/Jw+4XLKFrQVyYouOjI80wwmDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T10:03:27.149740Z","bundle_sha256":"7e16c1244067942609d05ea88aa3c2bb980b9bb5d8c1e359aebc4be5d637d433"}}