{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2N4CXDXPRYBKKQDBP4VXBEM623","short_pith_number":"pith:2N4CXDXP","canonical_record":{"source":{"id":"2410.12382","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-10-16T09:05:09Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"04da1f41a7426a24eaae5e78832ff3d68157e0028d7924060ed0a509802a3aa0","abstract_canon_sha256":"2ba9652f60abd3288731321666cd2c470432d76ddb1adef965e9c3bbfdb80799"},"schema_version":"1.0"},"canonical_sha256":"d3782b8eef8e02a540617f2b70919ed6d6e3b6606bbf8029a9dc6159d82314a1","source":{"kind":"arxiv","id":"2410.12382","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12382","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12382v1","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12382","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"2N4CXDXPRYBK","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"2N4CXDXPRYBKKQDB","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"2N4CXDXP","created_at":"2026-07-05T09:21:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2N4CXDXPRYBKKQDBP4VXBEM623","target":"record","payload":{"canonical_record":{"source":{"id":"2410.12382","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-10-16T09:05:09Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"04da1f41a7426a24eaae5e78832ff3d68157e0028d7924060ed0a509802a3aa0","abstract_canon_sha256":"2ba9652f60abd3288731321666cd2c470432d76ddb1adef965e9c3bbfdb80799"},"schema_version":"1.0"},"canonical_sha256":"d3782b8eef8e02a540617f2b70919ed6d6e3b6606bbf8029a9dc6159d82314a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:21:18.148203Z","signature_b64":"/vSQ2+EeDFqE/FjZC/q4wq6/uPogJyR5pm0tM9yMDi/FR7jTpZ+iRJAz3q1m2qqsasMYZo3zGZczWJpplz1HBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3782b8eef8e02a540617f2b70919ed6d6e3b6606bbf8029a9dc6159d82314a1","last_reissued_at":"2026-07-05T09:21:18.147840Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:21:18.147840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.12382","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aqsPL1siTWws2lClzcnJT/F+rEc3ofp+995bTNYn17bVyjC12aOWs7YV9MDcok29XcvSS6K82rXTfynT3cgFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:04:48.515931Z"},"content_sha256":"43fe396dc25f46f8856c8a1f451d71dd0408ee232359726c58d7e6714ff33a20","schema_version":"1.0","event_id":"sha256:43fe396dc25f46f8856c8a1f451d71dd0408ee232359726c58d7e6714ff33a20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2N4CXDXPRYBKKQDBP4VXBEM623","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong Gravitational Lensing by Static Black Holes in Effective Quantum Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Amnish Vachher, Qiang Wu, Sushant G. Ghosh, Tao Zhu, Yiyang Wang","submitted_at":"2024-10-16T09:05:09Z","abstract_excerpt":"We investigate strong gravitational lensing by two static black hole models (Model-1 and Model-2) within the Effective Quantum Gravity (EQG) framework, characterized by mass $M$ and parameter $\\zeta$. For $\\zeta = 0$, they reduce to the Schwarzschild solution, and depending on the parameters, they describe black holes with an event and Cauchy horizon (Model-1), a single horizon (Model-2), or no horizons. Using SMBHs Sgr A* and M87* as lenses and integrating theoretical predictions with recent EHT data, we identify significant differences in lensing signatures due to quantum corrections. For Mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12382","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/2410.12382/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ih0lDJ6lEZJEOxtW/jXU5rgyAuxkuMYiKJNpMAgHHJxTs+B5Cr4f7GVi3IjS+24zhnLxbI9eHxgX8Q6OvdoECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:04:48.519218Z"},"content_sha256":"4949b40c610dc819a936600b241eafd600d6a3a51c892326398aaa0787e2354d","schema_version":"1.0","event_id":"sha256:4949b40c610dc819a936600b241eafd600d6a3a51c892326398aaa0787e2354d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2N4CXDXPRYBKKQDBP4VXBEM623/bundle.json","state_url":"https://pith.science/pith/2N4CXDXPRYBKKQDBP4VXBEM623/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2N4CXDXPRYBKKQDBP4VXBEM623/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T06:04:48Z","links":{"resolver":"https://pith.science/pith/2N4CXDXPRYBKKQDBP4VXBEM623","bundle":"https://pith.science/pith/2N4CXDXPRYBKKQDBP4VXBEM623/bundle.json","state":"https://pith.science/pith/2N4CXDXPRYBKKQDBP4VXBEM623/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2N4CXDXPRYBKKQDBP4VXBEM623/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2N4CXDXPRYBKKQDBP4VXBEM623","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2ba9652f60abd3288731321666cd2c470432d76ddb1adef965e9c3bbfdb80799","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-10-16T09:05:09Z","title_canon_sha256":"04da1f41a7426a24eaae5e78832ff3d68157e0028d7924060ed0a509802a3aa0"},"schema_version":"1.0","source":{"id":"2410.12382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12382","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12382v1","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12382","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"2N4CXDXPRYBK","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"2N4CXDXPRYBKKQDB","created_at":"2026-07-05T09:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"2N4CXDXP","created_at":"2026-07-05T09:21:18Z"}],"graph_snapshots":[{"event_id":"sha256:4949b40c610dc819a936600b241eafd600d6a3a51c892326398aaa0787e2354d","target":"graph","created_at":"2026-07-05T09:21:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.12382/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate strong gravitational lensing by two static black hole models (Model-1 and Model-2) within the Effective Quantum Gravity (EQG) framework, characterized by mass $M$ and parameter $\\zeta$. For $\\zeta = 0$, they reduce to the Schwarzschild solution, and depending on the parameters, they describe black holes with an event and Cauchy horizon (Model-1), a single horizon (Model-2), or no horizons. Using SMBHs Sgr A* and M87* as lenses and integrating theoretical predictions with recent EHT data, we identify significant differences in lensing signatures due to quantum corrections. For Mo","authors_text":"Amnish Vachher, Qiang Wu, Sushant G. Ghosh, Tao Zhu, Yiyang Wang","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-10-16T09:05:09Z","title":"Strong Gravitational Lensing by Static Black Holes in Effective Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12382","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:43fe396dc25f46f8856c8a1f451d71dd0408ee232359726c58d7e6714ff33a20","target":"record","created_at":"2026-07-05T09:21:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2ba9652f60abd3288731321666cd2c470432d76ddb1adef965e9c3bbfdb80799","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-10-16T09:05:09Z","title_canon_sha256":"04da1f41a7426a24eaae5e78832ff3d68157e0028d7924060ed0a509802a3aa0"},"schema_version":"1.0","source":{"id":"2410.12382","kind":"arxiv","version":1}},"canonical_sha256":"d3782b8eef8e02a540617f2b70919ed6d6e3b6606bbf8029a9dc6159d82314a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3782b8eef8e02a540617f2b70919ed6d6e3b6606bbf8029a9dc6159d82314a1","first_computed_at":"2026-07-05T09:21:18.147840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:21:18.147840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/vSQ2+EeDFqE/FjZC/q4wq6/uPogJyR5pm0tM9yMDi/FR7jTpZ+iRJAz3q1m2qqsasMYZo3zGZczWJpplz1HBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:21:18.148203Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.12382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43fe396dc25f46f8856c8a1f451d71dd0408ee232359726c58d7e6714ff33a20","sha256:4949b40c610dc819a936600b241eafd600d6a3a51c892326398aaa0787e2354d"],"state_sha256":"86aafbcef86c397be92c19b4171e731469584cb3567f4bf7ecb99d38c9228135"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQrMvxxMci/E8YRUy9B0d0+4utN8MLFF7slJRJynmQygPcOhASeITbH+gr+jjz7yzVLH7mC+e5g6Kztf4VQCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:04:48.531754Z","bundle_sha256":"9cf4ed9d6210e33e737255006a936489cc246600736f0993124691847ad5a470"}}