{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LXEROGKXYLSK5PXS22AOFOYJ6I","short_pith_number":"pith:LXEROGKX","canonical_record":{"source":{"id":"2406.05458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-08T12:35:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fe1518d32f0e88a8fe70b1008bcf5cbb7d8f66ce437b833ae0f04e1aee788198","abstract_canon_sha256":"bd155dac61fb218910060b0dcc63bc2b22f22c32490e2da16a72b2c6f1b7a142"},"schema_version":"1.0"},"canonical_sha256":"5dc9171957c2e4aebef2d680e2bb09f23b31383e031afc07212e5bf4de5fcfb2","source":{"kind":"arxiv","id":"2406.05458","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.05458","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"2406.05458v2","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.05458","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"LXEROGKXYLSK","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_16","alias_value":"LXEROGKXYLSK5PXS","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_8","alias_value":"LXEROGKX","created_at":"2026-07-05T09:45:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LXEROGKXYLSK5PXS22AOFOYJ6I","target":"record","payload":{"canonical_record":{"source":{"id":"2406.05458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-08T12:35:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fe1518d32f0e88a8fe70b1008bcf5cbb7d8f66ce437b833ae0f04e1aee788198","abstract_canon_sha256":"bd155dac61fb218910060b0dcc63bc2b22f22c32490e2da16a72b2c6f1b7a142"},"schema_version":"1.0"},"canonical_sha256":"5dc9171957c2e4aebef2d680e2bb09f23b31383e031afc07212e5bf4de5fcfb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:45:10.738938Z","signature_b64":"DfD/RzHXiPJuGa0MEb0Q/7Z7wTDvVdiFJPZeZsRNdKO3Dv/Pg4TsO5oNQQmO47dp3a3wWSNTkspSclHKaK2RDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc9171957c2e4aebef2d680e2bb09f23b31383e031afc07212e5bf4de5fcfb2","last_reissued_at":"2026-07-05T09:45:10.738232Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:45:10.738232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.05458","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":"2026-07-05T09:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QnNvweN3lREisZtvaHMMo1M5zI0/FfeExheM1nozWfAHcHZ1d5NFKANocZh3BLMoUqIr3oBpnMSv955od5nLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:43:28.632471Z"},"content_sha256":"ed5f7734b66199305d4f9d5e44f7ea5b65299ee7467214779015dede96f5cd9c","schema_version":"1.0","event_id":"sha256:ed5f7734b66199305d4f9d5e44f7ea5b65299ee7467214779015dede96f5cd9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LXEROGKXYLSK5PXS22AOFOYJ6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A class of Taub-NUT-scalar metrics via Ehlers transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ali Derekeh, Behrouz Mirza, Fatemeh Sadeghi, Pouya Heidari, Reza Bahani","submitted_at":"2024-06-08T12:35:32Z","abstract_excerpt":"We derive a class of Taub-NUT metrics in the presence of a scalar field (TNS) by using Ernst equations and potential, as well as using Ehlers transformations on the exact solutions that was recently introduced in Azizallahi et al. (Nucl Phys B 998:116414, https://doi.org/10.1016/j.nuclphysb.2023.116414, arXiv:2307.09328 [gr-qc], 2023) and Mirza et al. (Eur Phys J C 83:1161, https://doi.org/10.1140/epjc/s10052-023-12255-7, arXiv:2307.13588 [gr-qc], 2023). Furthermore, we investigate the effective potential, geodesics, topological charge, quasinormal modes (QNMs) and the deflection angle of ligh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.05458","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/2406.05458/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":"2026-07-05T09:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vwSq69SCAyehcCRBotUGBaj07tHw/9qUFXY0BDeEKHR7zDOgBJG16OWDB+jkD7moE3e6bWujNNr3ajxfb6UyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:43:28.633088Z"},"content_sha256":"63eed3b9ad073567f6f09ee5f1a3e25da95ad52d55a47db16717bb71542daa2d","schema_version":"1.0","event_id":"sha256:63eed3b9ad073567f6f09ee5f1a3e25da95ad52d55a47db16717bb71542daa2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/bundle.json","state_url":"https://pith.science/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/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":"2026-08-11T13:43:28Z","links":{"resolver":"https://pith.science/pith/LXEROGKXYLSK5PXS22AOFOYJ6I","bundle":"https://pith.science/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/bundle.json","state":"https://pith.science/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXEROGKXYLSK5PXS22AOFOYJ6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LXEROGKXYLSK5PXS22AOFOYJ6I","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":"bd155dac61fb218910060b0dcc63bc2b22f22c32490e2da16a72b2c6f1b7a142","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-08T12:35:32Z","title_canon_sha256":"fe1518d32f0e88a8fe70b1008bcf5cbb7d8f66ce437b833ae0f04e1aee788198"},"schema_version":"1.0","source":{"id":"2406.05458","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.05458","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"2406.05458v2","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.05458","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"LXEROGKXYLSK","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_16","alias_value":"LXEROGKXYLSK5PXS","created_at":"2026-07-05T09:45:10Z"},{"alias_kind":"pith_short_8","alias_value":"LXEROGKX","created_at":"2026-07-05T09:45:10Z"}],"graph_snapshots":[{"event_id":"sha256:63eed3b9ad073567f6f09ee5f1a3e25da95ad52d55a47db16717bb71542daa2d","target":"graph","created_at":"2026-07-05T09:45:10Z","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/2406.05458/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a class of Taub-NUT metrics in the presence of a scalar field (TNS) by using Ernst equations and potential, as well as using Ehlers transformations on the exact solutions that was recently introduced in Azizallahi et al. (Nucl Phys B 998:116414, https://doi.org/10.1016/j.nuclphysb.2023.116414, arXiv:2307.09328 [gr-qc], 2023) and Mirza et al. (Eur Phys J C 83:1161, https://doi.org/10.1140/epjc/s10052-023-12255-7, arXiv:2307.13588 [gr-qc], 2023). Furthermore, we investigate the effective potential, geodesics, topological charge, quasinormal modes (QNMs) and the deflection angle of ligh","authors_text":"Ali Derekeh, Behrouz Mirza, Fatemeh Sadeghi, Pouya Heidari, Reza Bahani","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-08T12:35:32Z","title":"A class of Taub-NUT-scalar metrics via Ehlers transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.05458","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:ed5f7734b66199305d4f9d5e44f7ea5b65299ee7467214779015dede96f5cd9c","target":"record","created_at":"2026-07-05T09:45:10Z","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":"bd155dac61fb218910060b0dcc63bc2b22f22c32490e2da16a72b2c6f1b7a142","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-08T12:35:32Z","title_canon_sha256":"fe1518d32f0e88a8fe70b1008bcf5cbb7d8f66ce437b833ae0f04e1aee788198"},"schema_version":"1.0","source":{"id":"2406.05458","kind":"arxiv","version":2}},"canonical_sha256":"5dc9171957c2e4aebef2d680e2bb09f23b31383e031afc07212e5bf4de5fcfb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc9171957c2e4aebef2d680e2bb09f23b31383e031afc07212e5bf4de5fcfb2","first_computed_at":"2026-07-05T09:45:10.738232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:45:10.738232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DfD/RzHXiPJuGa0MEb0Q/7Z7wTDvVdiFJPZeZsRNdKO3Dv/Pg4TsO5oNQQmO47dp3a3wWSNTkspSclHKaK2RDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:45:10.738938Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.05458","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed5f7734b66199305d4f9d5e44f7ea5b65299ee7467214779015dede96f5cd9c","sha256:63eed3b9ad073567f6f09ee5f1a3e25da95ad52d55a47db16717bb71542daa2d"],"state_sha256":"0b1f4ab98415d7c4653421fbb7ff41d4ac9d85bd9f054f5ee98ac1826878f7e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSZ/4jzVTzKezgaBeIAh1ptP+PapnvSW9bGQqzIgp1H/UNHzibZ7tji6Q8TgKYa+K1V6Rtl22QAHln+dPedHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T13:43:28.637193Z","bundle_sha256":"43da585a551b0629a59ac3d22fb62705e5954d6250f03c72a7690dadbd695042"}}