{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:H7CKV4AWSOLWE4VFKVAGB7HTFE","short_pith_number":"pith:H7CKV4AW","schema_version":"1.0","canonical_sha256":"3fc4aaf01693976272a5554060fcf3292d0355b193cba81143f40a467694b783","source":{"kind":"arxiv","id":"1010.4304","version":1},"attestation_state":"computed","paper":{"title":"The Odd-Parity CMB Bispectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Marc Kamionkowski, Tarun Souradeep","submitted_at":"2010-10-20T20:00:26Z","abstract_excerpt":"Measurement of the cosmic microwave background (CMB) bispectrum, or three-point correlation function, has now become one of the principle efforts in early-Universe cosmology. Here we show that there is a odd-parity component of the CMB bispectrum that has been hitherto unexplored. We argue that odd-parity temperature-polarization bispectra can arise, in principle, through weak lensing of the CMB by chiral gravitational waves or through cosmological birefringence, although the signals will be small even in the best-case scenarios. Measurement of these bispectra requires only modest modification"},"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":"1010.4304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-20T20:00:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"8755e9a966c2cd096ac0a9a95f31ce022e7d730689e77ddbf65fd03bf5f2f8e3","abstract_canon_sha256":"a8efe8cf04c96e607409968f73e42d73696f376ebb3e52b27272469c1392ea0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:05.348784Z","signature_b64":"GoGG/dy2kv9+pOIY9u2S18scrjx/TB1LaQjvIdp49OC0FztmOJugNRHUuhB0PLdF+DdzMcURxHMy2QjUvBeYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fc4aaf01693976272a5554060fcf3292d0355b193cba81143f40a467694b783","last_reissued_at":"2026-05-18T04:30:05.348303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:05.348303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Odd-Parity CMB Bispectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Marc Kamionkowski, Tarun Souradeep","submitted_at":"2010-10-20T20:00:26Z","abstract_excerpt":"Measurement of the cosmic microwave background (CMB) bispectrum, or three-point correlation function, has now become one of the principle efforts in early-Universe cosmology. Here we show that there is a odd-parity component of the CMB bispectrum that has been hitherto unexplored. We argue that odd-parity temperature-polarization bispectra can arise, in principle, through weak lensing of the CMB by chiral gravitational waves or through cosmological birefringence, although the signals will be small even in the best-case scenarios. Measurement of these bispectra requires only modest modification"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4304","kind":"arxiv","version":1},"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":"1010.4304","created_at":"2026-05-18T04:30:05.348401+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.4304v1","created_at":"2026-05-18T04:30:05.348401+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4304","created_at":"2026-05-18T04:30:05.348401+00:00"},{"alias_kind":"pith_short_12","alias_value":"H7CKV4AWSOLW","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"H7CKV4AWSOLWE4VF","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"H7CKV4AW","created_at":"2026-05-18T12:26:07.630475+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/H7CKV4AWSOLWE4VFKVAGB7HTFE","json":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE.json","graph_json":"https://pith.science/api/pith-number/H7CKV4AWSOLWE4VFKVAGB7HTFE/graph.json","events_json":"https://pith.science/api/pith-number/H7CKV4AWSOLWE4VFKVAGB7HTFE/events.json","paper":"https://pith.science/paper/H7CKV4AW"},"agent_actions":{"view_html":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE","download_json":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE.json","view_paper":"https://pith.science/paper/H7CKV4AW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.4304&json=true","fetch_graph":"https://pith.science/api/pith-number/H7CKV4AWSOLWE4VFKVAGB7HTFE/graph.json","fetch_events":"https://pith.science/api/pith-number/H7CKV4AWSOLWE4VFKVAGB7HTFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE/action/storage_attestation","attest_author":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE/action/author_attestation","sign_citation":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE/action/citation_signature","submit_replication":"https://pith.science/pith/H7CKV4AWSOLWE4VFKVAGB7HTFE/action/replication_record"}},"created_at":"2026-05-18T04:30:05.348401+00:00","updated_at":"2026-05-18T04:30:05.348401+00:00"}