{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IKOO5PIEG6EE7HVU4KYJVMGRII","short_pith_number":"pith:IKOO5PIE","schema_version":"1.0","canonical_sha256":"429ceebd0437884f9eb4e2b09ab0d1423c949445d843a759e8556f8a8423a430","source":{"kind":"arxiv","id":"1011.1513","version":3},"attestation_state":"computed","paper":{"title":"Primordial non-Gaussianity in the Bispectrum of the Halo Density Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Leonardo Senatore, Tobias Baldauf, Uros Seljak","submitted_at":"2010-11-05T21:06:49Z","abstract_excerpt":"The bispectrum vanishes for linear Gaussian fields and is thus a sensitive probe of non-linearities and non-Gaussianities in the cosmic density field. Hence, a detection of the bispectrum in the halo density field would enable tight constraints on non-Gaussian processes in the early Universe and allow inference of the dynamics driving inflation. We present a tree level derivation of the halo bispectrum arising from non-linear clustering, non-linear biasing and primordial non-Gaussianity. A diagrammatic description is developed to provide an intuitive understanding of the contributing terms and"},"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":"1011.1513","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-05T21:06:49Z","cross_cats_sorted":[],"title_canon_sha256":"fbf765d8359ec9a97759b8d4e8c2d0923b8b0b428e50dc8ef566a4acdde1a33d","abstract_canon_sha256":"955fdb57b7ba80853d77cf2050d71d7be086c37f96ae44bcf875067223ad8c75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:18.811256Z","signature_b64":"yJh+Kstlm6okKvL/a+6laDQsrtr2eLXRBXy4QD+6CkkTw14kaCc2DtJ9lOxUyrwCICq9bHGX5wG5X15pM4MJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"429ceebd0437884f9eb4e2b09ab0d1423c949445d843a759e8556f8a8423a430","last_reissued_at":"2026-05-18T04:15:18.810627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:18.810627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial non-Gaussianity in the Bispectrum of the Halo Density Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Leonardo Senatore, Tobias Baldauf, Uros Seljak","submitted_at":"2010-11-05T21:06:49Z","abstract_excerpt":"The bispectrum vanishes for linear Gaussian fields and is thus a sensitive probe of non-linearities and non-Gaussianities in the cosmic density field. Hence, a detection of the bispectrum in the halo density field would enable tight constraints on non-Gaussian processes in the early Universe and allow inference of the dynamics driving inflation. We present a tree level derivation of the halo bispectrum arising from non-linear clustering, non-linear biasing and primordial non-Gaussianity. A diagrammatic description is developed to provide an intuitive understanding of the contributing terms and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1513","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1011.1513","created_at":"2026-05-18T04:15:18.810737+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.1513v3","created_at":"2026-05-18T04:15:18.810737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1513","created_at":"2026-05-18T04:15:18.810737+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKOO5PIEG6EE","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKOO5PIEG6EE7HVU","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKOO5PIE","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.28172","citing_title":"Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum","ref_index":93,"is_internal_anchor":true},{"citing_arxiv_id":"2605.21436","citing_title":"Euclid preparation: Testing multi-field inflation with galaxy power spectrum and bispectrum","ref_index":185,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII","json":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII.json","graph_json":"https://pith.science/api/pith-number/IKOO5PIEG6EE7HVU4KYJVMGRII/graph.json","events_json":"https://pith.science/api/pith-number/IKOO5PIEG6EE7HVU4KYJVMGRII/events.json","paper":"https://pith.science/paper/IKOO5PIE"},"agent_actions":{"view_html":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII","download_json":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII.json","view_paper":"https://pith.science/paper/IKOO5PIE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.1513&json=true","fetch_graph":"https://pith.science/api/pith-number/IKOO5PIEG6EE7HVU4KYJVMGRII/graph.json","fetch_events":"https://pith.science/api/pith-number/IKOO5PIEG6EE7HVU4KYJVMGRII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII/action/storage_attestation","attest_author":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII/action/author_attestation","sign_citation":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII/action/citation_signature","submit_replication":"https://pith.science/pith/IKOO5PIEG6EE7HVU4KYJVMGRII/action/replication_record"}},"created_at":"2026-05-18T04:15:18.810737+00:00","updated_at":"2026-05-18T04:15:18.810737+00:00"}