{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:65KXN2OEQ5FTSDPJ6DVS6L5JQR","short_pith_number":"pith:65KXN2OE","canonical_record":{"source":{"id":"1702.07850","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-25T08:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"5698d09030f3ac9c7c1cf75dc69ef1cf346e7be39dacc3577085dbaddc9e1e97","abstract_canon_sha256":"4e0030ded3fbdfe0f293f9b7517a1d856f043bf30daa87a09097ebe017406f6f"},"schema_version":"1.0"},"canonical_sha256":"f75576e9c4874b390de9f0eb2f2fa98445bb689b46c0f5bfcc4ea2455f726281","source":{"kind":"arxiv","id":"1702.07850","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07850","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07850v3","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07850","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"pith_short_12","alias_value":"65KXN2OEQ5FT","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"65KXN2OEQ5FTSDPJ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"65KXN2OE","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:65KXN2OEQ5FTSDPJ6DVS6L5JQR","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07850","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-25T08:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"5698d09030f3ac9c7c1cf75dc69ef1cf346e7be39dacc3577085dbaddc9e1e97","abstract_canon_sha256":"4e0030ded3fbdfe0f293f9b7517a1d856f043bf30daa87a09097ebe017406f6f"},"schema_version":"1.0"},"canonical_sha256":"f75576e9c4874b390de9f0eb2f2fa98445bb689b46c0f5bfcc4ea2455f726281","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:09.166456Z","signature_b64":"e28bM9VdDJwthg4skraj62ZHxhTsOgLTBJr6GwQNVRf4xWuZo4FCckOga2l/U7AVbPiKejWYX/x/d0u2pTCrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f75576e9c4874b390de9f0eb2f2fa98445bb689b46c0f5bfcc4ea2455f726281","last_reissued_at":"2026-05-18T00:23:09.165757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:09.165757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07850","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+vIGmpYWg0FkH2aRKXFPG14BXguHQyrvaeJOXOczJIjGRs/6Zhdf6BhtwXvnOr2MSuq7WUvMoFRmFvG8jW5+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:49:48.036241Z"},"content_sha256":"478f96766ce0be5db982922cd81919e72ec160cb33eff771a3fe8ab9118d395a","schema_version":"1.0","event_id":"sha256:478f96766ce0be5db982922cd81919e72ec160cb33eff771a3fe8ab9118d395a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:65KXN2OEQ5FTSDPJ6DVS6L5JQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Photon motion in Kerr-de Sitter spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Daniel Charbulak, Zdenek Stuchlik","submitted_at":"2017-02-25T08:03:02Z","abstract_excerpt":"We study general non-equatorial motion of photons in the Kerr-de Sitter black hole and naked singularity spacetimes. The motion is governed by the impact parameter $X$ related to axial symmetry of the spacetime, and impact parameter $q$ related to its hidden symmetry. Appropriate 'effective potentials' governing the latitudinal and radial motion are introduced and their behaviour is examined by 'Chinese boxes' technique giving regions allowed for the motion in terms of the impact parameters. Limits on the impact parameter $X$ and $q$ are established in dependence on the spacetime parameters $M"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07850","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":""},"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":"2026-05-18T00:23:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3pCRwwvji75KiktIazYMRi+SgPOvgZhWndOMpJEThb1XrlEQD2lGhTLiM71BPfQTEx0a2+8cR3USXQQy2XOmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:49:48.036783Z"},"content_sha256":"01107f9a0bc11e9f798e5be2e155cd287dbacc67ce5e4ceb6d3ffe81a988fbcc","schema_version":"1.0","event_id":"sha256:01107f9a0bc11e9f798e5be2e155cd287dbacc67ce5e4ceb6d3ffe81a988fbcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/bundle.json","state_url":"https://pith.science/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/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":"2026-05-26T20:49:48Z","links":{"resolver":"https://pith.science/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR","bundle":"https://pith.science/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/bundle.json","state":"https://pith.science/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/65KXN2OEQ5FTSDPJ6DVS6L5JQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:65KXN2OEQ5FTSDPJ6DVS6L5JQR","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":"4e0030ded3fbdfe0f293f9b7517a1d856f043bf30daa87a09097ebe017406f6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-25T08:03:02Z","title_canon_sha256":"5698d09030f3ac9c7c1cf75dc69ef1cf346e7be39dacc3577085dbaddc9e1e97"},"schema_version":"1.0","source":{"id":"1702.07850","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07850","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07850v3","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07850","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"pith_short_12","alias_value":"65KXN2OEQ5FT","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"65KXN2OEQ5FTSDPJ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"65KXN2OE","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:01107f9a0bc11e9f798e5be2e155cd287dbacc67ce5e4ceb6d3ffe81a988fbcc","target":"graph","created_at":"2026-05-18T00:23:09Z","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"},"paper":{"abstract_excerpt":"We study general non-equatorial motion of photons in the Kerr-de Sitter black hole and naked singularity spacetimes. The motion is governed by the impact parameter $X$ related to axial symmetry of the spacetime, and impact parameter $q$ related to its hidden symmetry. Appropriate 'effective potentials' governing the latitudinal and radial motion are introduced and their behaviour is examined by 'Chinese boxes' technique giving regions allowed for the motion in terms of the impact parameters. Limits on the impact parameter $X$ and $q$ are established in dependence on the spacetime parameters $M","authors_text":"Daniel Charbulak, Zdenek Stuchlik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-25T08:03:02Z","title":"Photon motion in Kerr-de Sitter spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07850","kind":"arxiv","version":3},"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":"sha256:478f96766ce0be5db982922cd81919e72ec160cb33eff771a3fe8ab9118d395a","target":"record","created_at":"2026-05-18T00:23:09Z","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":"4e0030ded3fbdfe0f293f9b7517a1d856f043bf30daa87a09097ebe017406f6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-25T08:03:02Z","title_canon_sha256":"5698d09030f3ac9c7c1cf75dc69ef1cf346e7be39dacc3577085dbaddc9e1e97"},"schema_version":"1.0","source":{"id":"1702.07850","kind":"arxiv","version":3}},"canonical_sha256":"f75576e9c4874b390de9f0eb2f2fa98445bb689b46c0f5bfcc4ea2455f726281","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f75576e9c4874b390de9f0eb2f2fa98445bb689b46c0f5bfcc4ea2455f726281","first_computed_at":"2026-05-18T00:23:09.165757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:09.165757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e28bM9VdDJwthg4skraj62ZHxhTsOgLTBJr6GwQNVRf4xWuZo4FCckOga2l/U7AVbPiKejWYX/x/d0u2pTCrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:09.166456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07850","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478f96766ce0be5db982922cd81919e72ec160cb33eff771a3fe8ab9118d395a","sha256:01107f9a0bc11e9f798e5be2e155cd287dbacc67ce5e4ceb6d3ffe81a988fbcc"],"state_sha256":"9d778f6e5392db3e7d75c941eb0851928be2370e32cbb6930354fc3f227f4aa7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vRVXgaK4Tjr1+RVUwofrasMaNhpDutC58buTLcGktm1NGqx6lGNlA64+8EQlif3cI174p98uEgpqOTPA2asYBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:49:48.039598Z","bundle_sha256":"5defaf56ca25ed2dcce82bfb5436286ba9cf0d344c010262705cb60ea0b6114f"}}