{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:2WTBKS4QHDEINSC5HATRU7ATZJ","short_pith_number":"pith:2WTBKS4Q","schema_version":"1.0","canonical_sha256":"d5a6154b9038c886c85d38271a7c13ca5ee0d06f1058f07a2a11520e67114a8f","source":{"kind":"arxiv","id":"2007.11809","version":1},"attestation_state":"computed","paper":{"title":"Second-order time delay by a radially moving Kerr-Newman black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Guansheng He, Wenbin Lin","submitted_at":"2020-07-23T05:55:33Z","abstract_excerpt":"We derive the analytical time delay of light propagating in the equatorial plane and parallel to the velocity of a moving Kerr-Newman black hole up to the second post-Minkowskian order via integrating the null geodesic equations. The velocity effects are expressed by a very compact form. We then concentrate on analyzing the magnitudes of the correctional effects on the second-order contributions to the delay and discuss their possible detection. Our result in the first post-Minkowskian approximation is in agreement with Kopeikin and Sch\\\"{a}fer's formulation which is based on the retarded Li\\'"},"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":"2007.11809","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-07-23T05:55:33Z","cross_cats_sorted":[],"title_canon_sha256":"7eb302762f190aca961e1bfc20a0bfc69b1a327d7754dcdc9fa699940b50e859","abstract_canon_sha256":"1c93dc80a1c810e9c228b5a55f55e22a24bf4d1320ac6b900b3a1df5df10bb75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:21:40.650573Z","signature_b64":"URu5Dn+kN/W+83nyfWJ3H4SD98AVg2gXq8051oYgIdGRNxJS4gBT3qoMQ6SH2/jj1Vh6e5XVgetznUXMOQihCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5a6154b9038c886c85d38271a7c13ca5ee0d06f1058f07a2a11520e67114a8f","last_reissued_at":"2026-07-05T01:21:40.650149Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:21:40.650149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-order time delay by a radially moving Kerr-Newman black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Guansheng He, Wenbin Lin","submitted_at":"2020-07-23T05:55:33Z","abstract_excerpt":"We derive the analytical time delay of light propagating in the equatorial plane and parallel to the velocity of a moving Kerr-Newman black hole up to the second post-Minkowskian order via integrating the null geodesic equations. The velocity effects are expressed by a very compact form. We then concentrate on analyzing the magnitudes of the correctional effects on the second-order contributions to the delay and discuss their possible detection. Our result in the first post-Minkowskian approximation is in agreement with Kopeikin and Sch\\\"{a}fer's formulation which is based on the retarded Li\\'"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.11809","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.11809/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":"2007.11809","created_at":"2026-07-05T01:21:40.650206+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.11809v1","created_at":"2026-07-05T01:21:40.650206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.11809","created_at":"2026-07-05T01:21:40.650206+00:00"},{"alias_kind":"pith_short_12","alias_value":"2WTBKS4QHDEI","created_at":"2026-07-05T01:21:40.650206+00:00"},{"alias_kind":"pith_short_16","alias_value":"2WTBKS4QHDEINSC5","created_at":"2026-07-05T01:21:40.650206+00:00"},{"alias_kind":"pith_short_8","alias_value":"2WTBKS4Q","created_at":"2026-07-05T01:21:40.650206+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.14184","citing_title":"Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens","ref_index":66,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ","json":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ.json","graph_json":"https://pith.science/api/pith-number/2WTBKS4QHDEINSC5HATRU7ATZJ/graph.json","events_json":"https://pith.science/api/pith-number/2WTBKS4QHDEINSC5HATRU7ATZJ/events.json","paper":"https://pith.science/paper/2WTBKS4Q"},"agent_actions":{"view_html":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ","download_json":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ.json","view_paper":"https://pith.science/paper/2WTBKS4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.11809&json=true","fetch_graph":"https://pith.science/api/pith-number/2WTBKS4QHDEINSC5HATRU7ATZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/2WTBKS4QHDEINSC5HATRU7ATZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ/action/storage_attestation","attest_author":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ/action/author_attestation","sign_citation":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ/action/citation_signature","submit_replication":"https://pith.science/pith/2WTBKS4QHDEINSC5HATRU7ATZJ/action/replication_record"}},"created_at":"2026-07-05T01:21:40.650206+00:00","updated_at":"2026-07-05T01:21:40.650206+00:00"}