{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:265KF4KO2HOI64JUCTATZ2XGBZ","short_pith_number":"pith:265KF4KO","schema_version":"1.0","canonical_sha256":"d7baa2f14ed1dc8f713414c13ceae60e65acae396d0a1a59d75609a5bae4fb10","source":{"kind":"arxiv","id":"2208.11906","version":1},"attestation_state":"computed","paper":{"title":"Null and time-like geodesics in Kerr-Newman black hole exterior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chen-Yu Wang, Chi-Yong Lin, Da-Shin Lee","submitted_at":"2022-08-25T07:41:06Z","abstract_excerpt":"We study the null and time-like geodesics of the light and the neutral particles respectively in the exterior of Kerr-Newman black holes. The geodesic equations are known to be written as a set of first-order differential equations in Mino time from which the angular and radial potentials can be defined. We classify the roots for both potentials, and mainly focus on those of the radial potential with an emphasis on the effect from the charge of the black holes. We then obtain the solutions of the trajectories in terms of the elliptical integrals and the Jacobian elliptic functions for both nul"},"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":"2208.11906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-08-25T07:41:06Z","cross_cats_sorted":[],"title_canon_sha256":"bf8885edefd7c101757aa952f6befdb9f918d34e3088f2ab76fe47073a5f6281","abstract_canon_sha256":"7a49fbdf6eafb5adc81359802993cc864e3bcddeb932a22b5c48ea08d51a9261"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:14:21.215438Z","signature_b64":"FqYeeI4uEmDgAJGd2S90+Z2RzD93C6/rHv7rjJhYDuMH6J5hi2MdMNj6gUiAP4bN1IUzlHQ3ZJS/gxgJ8aEOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7baa2f14ed1dc8f713414c13ceae60e65acae396d0a1a59d75609a5bae4fb10","last_reissued_at":"2026-07-05T05:14:21.214349Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:14:21.214349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Null and time-like geodesics in Kerr-Newman black hole exterior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chen-Yu Wang, Chi-Yong Lin, Da-Shin Lee","submitted_at":"2022-08-25T07:41:06Z","abstract_excerpt":"We study the null and time-like geodesics of the light and the neutral particles respectively in the exterior of Kerr-Newman black holes. The geodesic equations are known to be written as a set of first-order differential equations in Mino time from which the angular and radial potentials can be defined. We classify the roots for both potentials, and mainly focus on those of the radial potential with an emphasis on the effect from the charge of the black holes. We then obtain the solutions of the trajectories in terms of the elliptical integrals and the Jacobian elliptic functions for both nul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.11906","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/2208.11906/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":"2208.11906","created_at":"2026-07-05T05:14:21.214887+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.11906v1","created_at":"2026-07-05T05:14:21.214887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.11906","created_at":"2026-07-05T05:14:21.214887+00:00"},{"alias_kind":"pith_short_12","alias_value":"265KF4KO2HOI","created_at":"2026-07-05T05:14:21.214887+00:00"},{"alias_kind":"pith_short_16","alias_value":"265KF4KO2HOI64JU","created_at":"2026-07-05T05:14:21.214887+00:00"},{"alias_kind":"pith_short_8","alias_value":"265KF4KO","created_at":"2026-07-05T05:14:21.214887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.11473","citing_title":"Radii of spherical timelike geodesics in Kerr-Newman black holes","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ","json":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ.json","graph_json":"https://pith.science/api/pith-number/265KF4KO2HOI64JUCTATZ2XGBZ/graph.json","events_json":"https://pith.science/api/pith-number/265KF4KO2HOI64JUCTATZ2XGBZ/events.json","paper":"https://pith.science/paper/265KF4KO"},"agent_actions":{"view_html":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ","download_json":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ.json","view_paper":"https://pith.science/paper/265KF4KO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.11906&json=true","fetch_graph":"https://pith.science/api/pith-number/265KF4KO2HOI64JUCTATZ2XGBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/265KF4KO2HOI64JUCTATZ2XGBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ/action/storage_attestation","attest_author":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ/action/author_attestation","sign_citation":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ/action/citation_signature","submit_replication":"https://pith.science/pith/265KF4KO2HOI64JUCTATZ2XGBZ/action/replication_record"}},"created_at":"2026-07-05T05:14:21.214887+00:00","updated_at":"2026-07-05T05:14:21.214887+00:00"}