{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NLQGEN6U5UWFRFJZEXOMHPY2Q5","short_pith_number":"pith:NLQGEN6U","canonical_record":{"source":{"id":"2606.29881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T07:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"898d8ebf34873e607f77a4259f17f10a640b8bbf4793743c4adedb33ce981fed","abstract_canon_sha256":"ef4375d745e9e0bab5dec66b95531d0b6f9abf7fd09e61064fe1b248fd65f9b8"},"schema_version":"1.0"},"canonical_sha256":"6ae06237d4ed2c58953925dcc3bf1a8764f3db7b4c18cdb812948ca713751d5c","source":{"kind":"arxiv","id":"2606.29881","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29881","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29881v1","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29881","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_12","alias_value":"NLQGEN6U5UWF","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_16","alias_value":"NLQGEN6U5UWFRFJZ","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_8","alias_value":"NLQGEN6U","created_at":"2026-06-30T02:17:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NLQGEN6U5UWFRFJZEXOMHPY2Q5","target":"record","payload":{"canonical_record":{"source":{"id":"2606.29881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T07:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"898d8ebf34873e607f77a4259f17f10a640b8bbf4793743c4adedb33ce981fed","abstract_canon_sha256":"ef4375d745e9e0bab5dec66b95531d0b6f9abf7fd09e61064fe1b248fd65f9b8"},"schema_version":"1.0"},"canonical_sha256":"6ae06237d4ed2c58953925dcc3bf1a8764f3db7b4c18cdb812948ca713751d5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:39.423470Z","signature_b64":"p/Lo1L6rEq455OsBCvAXm1tioIVbn3dqt7EEFrnWopkKAQGcPDkABPhHBcOiBjPIQ3vawmv3o3L3fY31tOt2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ae06237d4ed2c58953925dcc3bf1a8764f3db7b4c18cdb812948ca713751d5c","last_reissued_at":"2026-06-30T02:17:39.422775Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:39.422775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.29881","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":"2026-06-30T02:17:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6Su3RvqyB74s/6d6HfTH47TcuhCwduu7vYdSGcoV8avitJhYMzxbU9mPef2zopPW3QyO920EPuMk+Epx6beAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:10:24.290923Z"},"content_sha256":"bf54112c42da40c1d0d79232ef0d2a8edaba9ead6e35429f88da8d2b1d8cce96","schema_version":"1.0","event_id":"sha256:bf54112c42da40c1d0d79232ef0d2a8edaba9ead6e35429f88da8d2b1d8cce96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NLQGEN6U5UWFRFJZEXOMHPY2Q5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Photon Motion and Shadows of Rotating Black Holes with Nonlinear Electromagnetic and Anisotropic Matter Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jianbo Lu, Mou Xu, Shumin Wu, Yu Liu","submitted_at":"2026-06-29T07:18:29Z","abstract_excerpt":"This paper investigates the effects of the nonlinear electromagnetic field and the anisotropic matter field on photon motion, shadow structures, and the energy emission rate of a rotating black hole (BH). Using the Hamilton-Jacobi formalism, we derive the photon motion equations and analyze the distribution and stability of photon regions. The results show that the anisotropic matter field parameters affect the size and shape of the photon region outside the event horizon more significantly than the nonlinear electromagnetic field parameter. As the anisotropic matter field parameter $K$ decrea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29881","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/2606.29881/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":"2026-06-30T02:17:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JkWbMSzz9B+VbFcf0wZuCiHblF7nVxUFq0sDDTUi4rnIBY1QTDMW+KaeJvC/49ZI4bC6mlSv7LYA8WS/6vsnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T21:10:24.291310Z"},"content_sha256":"c6f9e2827706d752c0e895e0c7b8d0f2df0d8b503f04160beedf65216ae09260","schema_version":"1.0","event_id":"sha256:c6f9e2827706d752c0e895e0c7b8d0f2df0d8b503f04160beedf65216ae09260"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/bundle.json","state_url":"https://pith.science/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/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":"2026-07-03T21:10:24Z","links":{"resolver":"https://pith.science/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5","bundle":"https://pith.science/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/bundle.json","state":"https://pith.science/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLQGEN6U5UWFRFJZEXOMHPY2Q5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NLQGEN6U5UWFRFJZEXOMHPY2Q5","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":"ef4375d745e9e0bab5dec66b95531d0b6f9abf7fd09e61064fe1b248fd65f9b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T07:18:29Z","title_canon_sha256":"898d8ebf34873e607f77a4259f17f10a640b8bbf4793743c4adedb33ce981fed"},"schema_version":"1.0","source":{"id":"2606.29881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29881","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29881v1","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29881","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_12","alias_value":"NLQGEN6U5UWF","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_16","alias_value":"NLQGEN6U5UWFRFJZ","created_at":"2026-06-30T02:17:39Z"},{"alias_kind":"pith_short_8","alias_value":"NLQGEN6U","created_at":"2026-06-30T02:17:39Z"}],"graph_snapshots":[{"event_id":"sha256:c6f9e2827706d752c0e895e0c7b8d0f2df0d8b503f04160beedf65216ae09260","target":"graph","created_at":"2026-06-30T02:17:39Z","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/2606.29881/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the effects of the nonlinear electromagnetic field and the anisotropic matter field on photon motion, shadow structures, and the energy emission rate of a rotating black hole (BH). Using the Hamilton-Jacobi formalism, we derive the photon motion equations and analyze the distribution and stability of photon regions. The results show that the anisotropic matter field parameters affect the size and shape of the photon region outside the event horizon more significantly than the nonlinear electromagnetic field parameter. As the anisotropic matter field parameter $K$ decrea","authors_text":"Jianbo Lu, Mou Xu, Shumin Wu, Yu Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T07:18:29Z","title":"Photon Motion and Shadows of Rotating Black Holes with Nonlinear Electromagnetic and Anisotropic Matter Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29881","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:bf54112c42da40c1d0d79232ef0d2a8edaba9ead6e35429f88da8d2b1d8cce96","target":"record","created_at":"2026-06-30T02:17:39Z","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":"ef4375d745e9e0bab5dec66b95531d0b6f9abf7fd09e61064fe1b248fd65f9b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T07:18:29Z","title_canon_sha256":"898d8ebf34873e607f77a4259f17f10a640b8bbf4793743c4adedb33ce981fed"},"schema_version":"1.0","source":{"id":"2606.29881","kind":"arxiv","version":1}},"canonical_sha256":"6ae06237d4ed2c58953925dcc3bf1a8764f3db7b4c18cdb812948ca713751d5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ae06237d4ed2c58953925dcc3bf1a8764f3db7b4c18cdb812948ca713751d5c","first_computed_at":"2026-06-30T02:17:39.422775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:39.422775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p/Lo1L6rEq455OsBCvAXm1tioIVbn3dqt7EEFrnWopkKAQGcPDkABPhHBcOiBjPIQ3vawmv3o3L3fY31tOt2Ag==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:39.423470Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf54112c42da40c1d0d79232ef0d2a8edaba9ead6e35429f88da8d2b1d8cce96","sha256:c6f9e2827706d752c0e895e0c7b8d0f2df0d8b503f04160beedf65216ae09260"],"state_sha256":"225e5daac68e879d0aa0c1a5b573c5f1992f06da1f44fe63bea00def63953f79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hOhHZCkuxbbm3DySpKNy7yiTBfqC4/St8HzIE3Bnhp3N6NdAOWEVMVB/e6iefSHj1g4QT1lU1Evl9DYMg61RCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T21:10:24.293421Z","bundle_sha256":"dd81310150862a0bf00b3ab023c47b6ef7f9667fc9927da0107b6679662f45d9"}}