{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NIOTOWHZXFFHZXDKADEHSMFMO6","short_pith_number":"pith:NIOTOWHZ","schema_version":"1.0","canonical_sha256":"6a1d3758f9b94a7cdc6a00c87930ac77bda2cf7fc84a95e7bf0ed3af78e16faa","source":{"kind":"arxiv","id":"2404.18536","version":2},"attestation_state":"computed","paper":{"title":"General Approach on Shadow Radius and Photon Spheres in Asymptotically Flat Spacetimes and the Impact of Mass-Dependent Variations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ali \\\"Ovg\\\"un, Vitalii Vertogradov","submitted_at":"2024-04-29T09:27:15Z","abstract_excerpt":"Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere and shadow radius. This method offers advantages for complex metrics where traditional approaches are cumbersome. We further explore the impact of black hole mass on the photon sphere radius, providing insights into black hole interactions with their surroundings. Our findings contribute significantly to black hole physics and gravity under extreme conditions"},"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":"2404.18536","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-04-29T09:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"a165d7a4e6ae53509268bb77e12a59347ea5a587c83d3decc9d58c1fe9076276","abstract_canon_sha256":"6a461d56e64c6a3d3243dc9a1e08d24c8790683103cdd140ef00678f3dedaf96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:25:53.675414Z","signature_b64":"pKmAwuWLv6m9h2cshikrTlX52+EhEkSehwtcoUj/ItGkV3VU32c/DvQ5weJzgtRZhWLzASfBCKcWpPa4yRcuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a1d3758f9b94a7cdc6a00c87930ac77bda2cf7fc84a95e7bf0ed3af78e16faa","last_reissued_at":"2026-07-05T08:25:53.674939Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:25:53.674939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General Approach on Shadow Radius and Photon Spheres in Asymptotically Flat Spacetimes and the Impact of Mass-Dependent Variations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ali \\\"Ovg\\\"un, Vitalii Vertogradov","submitted_at":"2024-04-29T09:27:15Z","abstract_excerpt":"Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere and shadow radius. This method offers advantages for complex metrics where traditional approaches are cumbersome. We further explore the impact of black hole mass on the photon sphere radius, providing insights into black hole interactions with their surroundings. Our findings contribute significantly to black hole physics and gravity under extreme conditions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.18536","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.18536/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":"2404.18536","created_at":"2026-07-05T08:25:53.675001+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.18536v2","created_at":"2026-07-05T08:25:53.675001+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.18536","created_at":"2026-07-05T08:25:53.675001+00:00"},{"alias_kind":"pith_short_12","alias_value":"NIOTOWHZXFFH","created_at":"2026-07-05T08:25:53.675001+00:00"},{"alias_kind":"pith_short_16","alias_value":"NIOTOWHZXFFHZXDK","created_at":"2026-07-05T08:25:53.675001+00:00"},{"alias_kind":"pith_short_8","alias_value":"NIOTOWHZ","created_at":"2026-07-05T08:25:53.675001+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.27170","citing_title":"Regular black hole solutions and the quark chemical potential at the QCD phase transition","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03428","citing_title":"Families of regular spacetimes and energy conditions","ref_index":100,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03428","citing_title":"Families of regular spacetimes and energy conditions","ref_index":103,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16545","citing_title":"Energy conditions in static, spherically symmetric spacetimes and effective geometries","ref_index":107,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6","json":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6.json","graph_json":"https://pith.science/api/pith-number/NIOTOWHZXFFHZXDKADEHSMFMO6/graph.json","events_json":"https://pith.science/api/pith-number/NIOTOWHZXFFHZXDKADEHSMFMO6/events.json","paper":"https://pith.science/paper/NIOTOWHZ"},"agent_actions":{"view_html":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6","download_json":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6.json","view_paper":"https://pith.science/paper/NIOTOWHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.18536&json=true","fetch_graph":"https://pith.science/api/pith-number/NIOTOWHZXFFHZXDKADEHSMFMO6/graph.json","fetch_events":"https://pith.science/api/pith-number/NIOTOWHZXFFHZXDKADEHSMFMO6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6/action/storage_attestation","attest_author":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6/action/author_attestation","sign_citation":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6/action/citation_signature","submit_replication":"https://pith.science/pith/NIOTOWHZXFFHZXDKADEHSMFMO6/action/replication_record"}},"created_at":"2026-07-05T08:25:53.675001+00:00","updated_at":"2026-07-05T08:25:53.675001+00:00"}