{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GSOCJCTNFOUF3DX3P7NK7BR52K","short_pith_number":"pith:GSOCJCTN","schema_version":"1.0","canonical_sha256":"349c248a6d2ba85d8efb7fdaaf863dd2812bb3a9cadd77bf9b88816c1769e890","source":{"kind":"arxiv","id":"1807.02584","version":2},"attestation_state":"computed","paper":{"title":"Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Masamune Oguri","submitted_at":"2018-07-06T22:49:47Z","abstract_excerpt":"The detailed observation of the distribution of redshifts and chirp masses of binary black hole mergers is expected to provide a clue to their origin. In this paper, we develop a hybrid model of the probability distribution function of gravitational lensing magnification taking account of both strong and weak gravitational lensing, and use it to study the effect of gravitational lensing magnification on the distribution of gravitational waves from distant binary black hole mergers detected in ongoing and future gravitational wave observations. We find that the effect of gravitational lensing m"},"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":"1807.02584","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-07-06T22:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"0d7d8efcd0af12999f50cbaee92b9bbf3a488dab91403acbf81efebe9e019aae","abstract_canon_sha256":"276050149fb236c393733a1a4b20b211143ed8645e4acf86574bc6501102d536"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:51.091409Z","signature_b64":"lV6rKun/9Y8Etu/+tfgnFafBCpiq6WWmd4iZSUds8hYVM592jqdiR9+vb7Q3YArxZsmXujDENj/uVDcAtXzQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"349c248a6d2ba85d8efb7fdaaf863dd2812bb3a9cadd77bf9b88816c1769e890","last_reissued_at":"2026-05-17T23:43:51.090717Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:51.090717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Masamune Oguri","submitted_at":"2018-07-06T22:49:47Z","abstract_excerpt":"The detailed observation of the distribution of redshifts and chirp masses of binary black hole mergers is expected to provide a clue to their origin. In this paper, we develop a hybrid model of the probability distribution function of gravitational lensing magnification taking account of both strong and weak gravitational lensing, and use it to study the effect of gravitational lensing magnification on the distribution of gravitational waves from distant binary black hole mergers detected in ongoing and future gravitational wave observations. We find that the effect of gravitational lensing m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02584","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":""},"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":"1807.02584","created_at":"2026-05-17T23:43:51.090828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.02584v2","created_at":"2026-05-17T23:43:51.090828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02584","created_at":"2026-05-17T23:43:51.090828+00:00"},{"alias_kind":"pith_short_12","alias_value":"GSOCJCTNFOUF","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GSOCJCTNFOUF3DX3","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GSOCJCTN","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.21519","citing_title":"Wave-optics imprints of dark matter subhalos on strongly lensed gravitational waves. II. Saddle images and detectability","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2606.17765","citing_title":"Effective description of lensed gravitational waves diffracted by stellar fields","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"2303.15923","citing_title":"Science with the Einstein Telescope: a comparison of different designs","ref_index":256,"is_internal_anchor":true},{"citing_arxiv_id":"2203.06142","citing_title":"Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies","ref_index":64,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K","json":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K.json","graph_json":"https://pith.science/api/pith-number/GSOCJCTNFOUF3DX3P7NK7BR52K/graph.json","events_json":"https://pith.science/api/pith-number/GSOCJCTNFOUF3DX3P7NK7BR52K/events.json","paper":"https://pith.science/paper/GSOCJCTN"},"agent_actions":{"view_html":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K","download_json":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K.json","view_paper":"https://pith.science/paper/GSOCJCTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.02584&json=true","fetch_graph":"https://pith.science/api/pith-number/GSOCJCTNFOUF3DX3P7NK7BR52K/graph.json","fetch_events":"https://pith.science/api/pith-number/GSOCJCTNFOUF3DX3P7NK7BR52K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K/action/storage_attestation","attest_author":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K/action/author_attestation","sign_citation":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K/action/citation_signature","submit_replication":"https://pith.science/pith/GSOCJCTNFOUF3DX3P7NK7BR52K/action/replication_record"}},"created_at":"2026-05-17T23:43:51.090828+00:00","updated_at":"2026-05-17T23:43:51.090828+00:00"}