{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YE6BOF7256DVQKPJAHHUAQG32E","short_pith_number":"pith:YE6BOF72","canonical_record":{"source":{"id":"0805.3146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-20T19:56:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b2e0a4d99c0e40a5529162343d6836f10fe74fe96b4f150b510e2bae7c81db4d","abstract_canon_sha256":"2bf4dc53030eda296aa6e2b667ccf18932aaff74b3d571d3aa9dd306bfe0b705"},"schema_version":"1.0"},"canonical_sha256":"c13c1717faef875829e901cf4040dbd129dc6a5bd05d5497c357c45cefd071d8","source":{"kind":"arxiv","id":"0805.3146","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3146","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3146v2","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3146","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_12","alias_value":"YE6BOF7256DV","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_16","alias_value":"YE6BOF7256DVQKPJ","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_8","alias_value":"YE6BOF72","created_at":"2026-07-04T15:30:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YE6BOF7256DVQKPJAHHUAQG32E","target":"record","payload":{"canonical_record":{"source":{"id":"0805.3146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-20T19:56:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b2e0a4d99c0e40a5529162343d6836f10fe74fe96b4f150b510e2bae7c81db4d","abstract_canon_sha256":"2bf4dc53030eda296aa6e2b667ccf18932aaff74b3d571d3aa9dd306bfe0b705"},"schema_version":"1.0"},"canonical_sha256":"c13c1717faef875829e901cf4040dbd129dc6a5bd05d5497c357c45cefd071d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:30:10.413214Z","signature_b64":"GKao7TgAyvXMm+PhXj6SA1LXveTHicbT1fpMjhHmvELPntD5Qfxn0z7c4CaBkKviqrDR88C2q+3QrBrBWNCCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c13c1717faef875829e901cf4040dbd129dc6a5bd05d5497c357c45cefd071d8","last_reissued_at":"2026-07-04T15:30:10.412817Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:30:10.412817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.3146","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:30:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UEsShXabUFaDUjb00CfXMKMOFA7GHio+irYglqfNpF0SGmBAdcmcGyaMKvyqrTShyX5godMhQXUhOoLuuitDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T07:46:37.726486Z"},"content_sha256":"55ea0487e495216291696f0d3c1b21cc42e4b9f99d87f75c5c1413a939b5dcd2","schema_version":"1.0","event_id":"sha256:55ea0487e495216291696f0d3c1b21cc42e4b9f99d87f75c5c1413a939b5dcd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YE6BOF7256DVQKPJAHHUAQG32E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden symmetries, null geodesics, and photon capture in the Sen black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Kenta Hioki (Waseda Univ.), Umpei Miyamoto (Hebrew Univ.)","submitted_at":"2008-05-20T19:56:39Z","abstract_excerpt":"Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing tensor are derived, which represent the hidden symmetries. Analyzing the properties of Killing tensors, we clarify why the Hamilton-Jacobi and wave equations are separable in this spacetime. We also investigate the gravitational capture of photons by the Sen black hole and compare the result with those by the various charged/rotating black holes and naked s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3146","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/0805.3146/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":"2026-07-04T15:30:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Il+DvKv1kP8fPXjDqKf8rXWiO7ThVV/G5BZk0AnJDk/SGZ7DvzC1d6dlrzdtFo/Zvtm1ChYl259qL2vnboi6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T07:46:37.727038Z"},"content_sha256":"f9824a5cf57eabb61e767e7b6a7a8bb2df48285313c70ae6f2cf39e2457dbfba","schema_version":"1.0","event_id":"sha256:f9824a5cf57eabb61e767e7b6a7a8bb2df48285313c70ae6f2cf39e2457dbfba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YE6BOF7256DVQKPJAHHUAQG32E/bundle.json","state_url":"https://pith.science/pith/YE6BOF7256DVQKPJAHHUAQG32E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YE6BOF7256DVQKPJAHHUAQG32E/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":"2026-08-20T07:46:37Z","links":{"resolver":"https://pith.science/pith/YE6BOF7256DVQKPJAHHUAQG32E","bundle":"https://pith.science/pith/YE6BOF7256DVQKPJAHHUAQG32E/bundle.json","state":"https://pith.science/pith/YE6BOF7256DVQKPJAHHUAQG32E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YE6BOF7256DVQKPJAHHUAQG32E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YE6BOF7256DVQKPJAHHUAQG32E","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":"2bf4dc53030eda296aa6e2b667ccf18932aaff74b3d571d3aa9dd306bfe0b705","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-20T19:56:39Z","title_canon_sha256":"b2e0a4d99c0e40a5529162343d6836f10fe74fe96b4f150b510e2bae7c81db4d"},"schema_version":"1.0","source":{"id":"0805.3146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3146","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3146v2","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3146","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_12","alias_value":"YE6BOF7256DV","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_16","alias_value":"YE6BOF7256DVQKPJ","created_at":"2026-07-04T15:30:10Z"},{"alias_kind":"pith_short_8","alias_value":"YE6BOF72","created_at":"2026-07-04T15:30:10Z"}],"graph_snapshots":[{"event_id":"sha256:f9824a5cf57eabb61e767e7b6a7a8bb2df48285313c70ae6f2cf39e2457dbfba","target":"graph","created_at":"2026-07-04T15:30:10Z","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/0805.3146/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing tensor are derived, which represent the hidden symmetries. Analyzing the properties of Killing tensors, we clarify why the Hamilton-Jacobi and wave equations are separable in this spacetime. We also investigate the gravitational capture of photons by the Sen black hole and compare the result with those by the various charged/rotating black holes and naked s","authors_text":"Kenta Hioki (Waseda Univ.), Umpei Miyamoto (Hebrew Univ.)","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-20T19:56:39Z","title":"Hidden symmetries, null geodesics, and photon capture in the Sen black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3146","kind":"arxiv","version":2},"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":"sha256:55ea0487e495216291696f0d3c1b21cc42e4b9f99d87f75c5c1413a939b5dcd2","target":"record","created_at":"2026-07-04T15:30:10Z","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":"2bf4dc53030eda296aa6e2b667ccf18932aaff74b3d571d3aa9dd306bfe0b705","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-20T19:56:39Z","title_canon_sha256":"b2e0a4d99c0e40a5529162343d6836f10fe74fe96b4f150b510e2bae7c81db4d"},"schema_version":"1.0","source":{"id":"0805.3146","kind":"arxiv","version":2}},"canonical_sha256":"c13c1717faef875829e901cf4040dbd129dc6a5bd05d5497c357c45cefd071d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c13c1717faef875829e901cf4040dbd129dc6a5bd05d5497c357c45cefd071d8","first_computed_at":"2026-07-04T15:30:10.412817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:10.412817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKao7TgAyvXMm+PhXj6SA1LXveTHicbT1fpMjhHmvELPntD5Qfxn0z7c4CaBkKviqrDR88C2q+3QrBrBWNCCDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:10.413214Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.3146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55ea0487e495216291696f0d3c1b21cc42e4b9f99d87f75c5c1413a939b5dcd2","sha256:f9824a5cf57eabb61e767e7b6a7a8bb2df48285313c70ae6f2cf39e2457dbfba"],"state_sha256":"f9ffb948cd4c38f6ffa56610db50feac37cb91769a367e2cd8a70caa42f197ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aaF9OaRNBlabmA3KM7/HqIiKLsfe9e5ZsnMg7obDKoqDnuxUHVNDTpcnH9Jy9fYnvFI3r5m4Tm1wViSYWHFyDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T07:46:37.731796Z","bundle_sha256":"a875e8dd8868858b98d2703f74cf0777beff324da0d89f3ec8ab205b74c677cd"}}