{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JHR5X2IKYYCOODJVZRJWF72JIT","short_pith_number":"pith:JHR5X2IK","schema_version":"1.0","canonical_sha256":"49e3dbe90ac604e70d35cc5362ff4944d97c677c26d9ef28b9e746a3eeecf2cb","source":{"kind":"arxiv","id":"2111.07223","version":2},"attestation_state":"computed","paper":{"title":"Gravitational lensing by a black hole in effective loop quantum gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Qi-Ming Fu, Xin Zhang","submitted_at":"2021-11-14T02:25:41Z","abstract_excerpt":"It is well known that general relativity is an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays a key role in testing the quantum effects of gravity in the strong-field regime. In this paper, we focus on black hole in effective loop quantum gravity and investigate what the influences are of the quantum effects on the weak and strong bending angles of light rays. We find that this black hole could be a Schwarzschild black hole, a regular black hole, a one-way traversable"},"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":"2111.07223","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-14T02:25:41Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"e727cd6463c41754a10955d4a14a5dcdfbdfa0edde54e000969bcd60e1b7da70","abstract_canon_sha256":"9453835b733fbd72d102a7d8c3a4df5e6e8140d06ed02d80584c2a9f21f33209"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:07:27.684043Z","signature_b64":"JFeChLTDmEregGYycEDRva518c6KYduTYWY66hSUJQOo+Jlfhu+ogr1Lu+1auAuBDfA7/F3AHhqLnpn7OhMQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49e3dbe90ac604e70d35cc5362ff4944d97c677c26d9ef28b9e746a3eeecf2cb","last_reissued_at":"2026-07-05T04:07:27.683582Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:07:27.683582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational lensing by a black hole in effective loop quantum gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Qi-Ming Fu, Xin Zhang","submitted_at":"2021-11-14T02:25:41Z","abstract_excerpt":"It is well known that general relativity is an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays a key role in testing the quantum effects of gravity in the strong-field regime. In this paper, we focus on black hole in effective loop quantum gravity and investigate what the influences are of the quantum effects on the weak and strong bending angles of light rays. We find that this black hole could be a Schwarzschild black hole, a regular black hole, a one-way traversable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.07223","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/2111.07223/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":"2111.07223","created_at":"2026-07-05T04:07:27.683637+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.07223v2","created_at":"2026-07-05T04:07:27.683637+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.07223","created_at":"2026-07-05T04:07:27.683637+00:00"},{"alias_kind":"pith_short_12","alias_value":"JHR5X2IKYYCO","created_at":"2026-07-05T04:07:27.683637+00:00"},{"alias_kind":"pith_short_16","alias_value":"JHR5X2IKYYCOODJV","created_at":"2026-07-05T04:07:27.683637+00:00"},{"alias_kind":"pith_short_8","alias_value":"JHR5X2IK","created_at":"2026-07-05T04:07:27.683637+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.08778","citing_title":"Strong-deflection expansion of the deflection angle near a degenerate photon sphere","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2603.25084","citing_title":"Particle motions and gravitational waveforms in rotating black hole spacetimes of loop quantum gravity","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09046","citing_title":"Relative Magnification Factor of Point Sources on Accretion Disks","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT","json":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT.json","graph_json":"https://pith.science/api/pith-number/JHR5X2IKYYCOODJVZRJWF72JIT/graph.json","events_json":"https://pith.science/api/pith-number/JHR5X2IKYYCOODJVZRJWF72JIT/events.json","paper":"https://pith.science/paper/JHR5X2IK"},"agent_actions":{"view_html":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT","download_json":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT.json","view_paper":"https://pith.science/paper/JHR5X2IK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.07223&json=true","fetch_graph":"https://pith.science/api/pith-number/JHR5X2IKYYCOODJVZRJWF72JIT/graph.json","fetch_events":"https://pith.science/api/pith-number/JHR5X2IKYYCOODJVZRJWF72JIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT/action/storage_attestation","attest_author":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT/action/author_attestation","sign_citation":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT/action/citation_signature","submit_replication":"https://pith.science/pith/JHR5X2IKYYCOODJVZRJWF72JIT/action/replication_record"}},"created_at":"2026-07-05T04:07:27.683637+00:00","updated_at":"2026-07-05T04:07:27.683637+00:00"}