{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:47EPC4EYTIW7FD4JG4AWDNSWSL","short_pith_number":"pith:47EPC4EY","schema_version":"1.0","canonical_sha256":"e7c8f170989a2df28f89370161b65692ea7fbda5513adaed210fdfb4400adc88","source":{"kind":"arxiv","id":"2007.08227","version":3},"attestation_state":"computed","paper":{"title":"Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Yan-Gang Miao, Yang Guo","submitted_at":"2020-07-16T09:52:03Z","abstract_excerpt":"Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five- and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null "},"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":"2007.08227","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-16T09:52:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"336bdb2ae28342f7168dbbb5bad05aef8458d83bd5c8eacfb89a365cc80710d0","abstract_canon_sha256":"8ba887449c3332abafcdc5c82d4891f33db4213e4aa959f4adfce26de7964ded"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:02.291938Z","signature_b64":"+w1ZVZV25ejJhog/uxY2KMco5WT1Rdgsb1+GJImlgdakIPF1KisAg/+p02lnGonCASSgvq6bKGBaZBpSeaOLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c8f170989a2df28f89370161b65692ea7fbda5513adaed210fdfb4400adc88","last_reissued_at":"2026-07-05T01:46:02.291533Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:02.291533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Yan-Gang Miao, Yang Guo","submitted_at":"2020-07-16T09:52:03Z","abstract_excerpt":"Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five- and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.08227","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.08227/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":"2007.08227","created_at":"2026-07-05T01:46:02.291586+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.08227v3","created_at":"2026-07-05T01:46:02.291586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.08227","created_at":"2026-07-05T01:46:02.291586+00:00"},{"alias_kind":"pith_short_12","alias_value":"47EPC4EYTIW7","created_at":"2026-07-05T01:46:02.291586+00:00"},{"alias_kind":"pith_short_16","alias_value":"47EPC4EYTIW7FD4J","created_at":"2026-07-05T01:46:02.291586+00:00"},{"alias_kind":"pith_short_8","alias_value":"47EPC4EY","created_at":"2026-07-05T01:46:02.291586+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.21460","citing_title":"Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL","json":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL.json","graph_json":"https://pith.science/api/pith-number/47EPC4EYTIW7FD4JG4AWDNSWSL/graph.json","events_json":"https://pith.science/api/pith-number/47EPC4EYTIW7FD4JG4AWDNSWSL/events.json","paper":"https://pith.science/paper/47EPC4EY"},"agent_actions":{"view_html":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL","download_json":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL.json","view_paper":"https://pith.science/paper/47EPC4EY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.08227&json=true","fetch_graph":"https://pith.science/api/pith-number/47EPC4EYTIW7FD4JG4AWDNSWSL/graph.json","fetch_events":"https://pith.science/api/pith-number/47EPC4EYTIW7FD4JG4AWDNSWSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL/action/storage_attestation","attest_author":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL/action/author_attestation","sign_citation":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL/action/citation_signature","submit_replication":"https://pith.science/pith/47EPC4EYTIW7FD4JG4AWDNSWSL/action/replication_record"}},"created_at":"2026-07-05T01:46:02.291586+00:00","updated_at":"2026-07-05T01:46:02.291586+00:00"}