{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NCRDXA3PALIZGRDKXQQ2WVEI5F","short_pith_number":"pith:NCRDXA3P","canonical_record":{"source":{"id":"2307.01996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-05T02:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"28e4a600eeb4c53c9736113084758979410b0e6062cbac15dfebe859b70b0a3e","abstract_canon_sha256":"c0a1da070ec7611e730f604db7e492f75c8d47a2d40261062dcc14138a4a352b"},"schema_version":"1.0"},"canonical_sha256":"68a23b836f02d193446abc21ab5488e9773e5244cab28ca9b60f74b612c98f22","source":{"kind":"arxiv","id":"2307.01996","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01996","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01996v2","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01996","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_12","alias_value":"NCRDXA3PALIZ","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_16","alias_value":"NCRDXA3PALIZGRDK","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_8","alias_value":"NCRDXA3P","created_at":"2026-07-05T07:47:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NCRDXA3PALIZGRDKXQQ2WVEI5F","target":"record","payload":{"canonical_record":{"source":{"id":"2307.01996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-05T02:58:09Z","cross_cats_sorted":[],"title_canon_sha256":"28e4a600eeb4c53c9736113084758979410b0e6062cbac15dfebe859b70b0a3e","abstract_canon_sha256":"c0a1da070ec7611e730f604db7e492f75c8d47a2d40261062dcc14138a4a352b"},"schema_version":"1.0"},"canonical_sha256":"68a23b836f02d193446abc21ab5488e9773e5244cab28ca9b60f74b612c98f22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:47:03.453373Z","signature_b64":"UotUsxbV2Me2qn4hgOUc2cvkl5vJPQKJ8F1X6y8kbwkPEm8LkLcvcwLaQOuH3wMuozm0cCHL0qihZRwN7sNYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68a23b836f02d193446abc21ab5488e9773e5244cab28ca9b60f74b612c98f22","last_reissued_at":"2026-07-05T07:47:03.452819Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:47:03.452819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.01996","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":"2026-07-05T07:47:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qg29QzGBxxO/Pi9Aq8Vxuzh7l4wCm0jfdkFFY4UC98ISDtvbWSa4CfC1TpDJBbUb9Cl4Ji09X+cSsZhvLQ9cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:15:04.119079Z"},"content_sha256":"a3bf8c6ca762f8629a626b0eae02f77d43cb81adf6c4ebc3d1e7bf65274cf524","schema_version":"1.0","event_id":"sha256:a3bf8c6ca762f8629a626b0eae02f77d43cb81adf6c4ebc3d1e7bf65274cf524"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NCRDXA3PALIZGRDKXQQ2WVEI5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometrically thick equilibrium tori around a dyonic black hole with quasi-topological electromagnetism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jiliang Jing, Songbai Chen, Xuan Zhou","submitted_at":"2023-07-05T02:58:09Z","abstract_excerpt":"We study geometrically thick and non-self gravitating equilibrium tori orbiting a static spherically symmetric dyonic black hole with quasi-topological electromagnetism. Our results show that the electric and magnetic charges together with the coupling parameter in the quasi-topological electromagnetism lead to a much richer class of equilibrium tori. There are a range of parameters which allow for the existence of double tori. The properties of double equilibrium tori become far richer. There exist transitions between single torus and double tori solutions as we change the specific angular mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01996","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/2307.01996/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":"2026-07-05T07:47:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4EmLbZU+ojJzrJLx9KvHA2p4+kCOZpadmZdfNxKqBH25AWrSaE4nVvMl9gom01NRupLsMGzG2QcbyJFYqgtgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:15:04.119582Z"},"content_sha256":"d48b989aaa71d5a914eba91407902e30bfe0f9817d4e2b6e5d83ca7eec2e0b63","schema_version":"1.0","event_id":"sha256:d48b989aaa71d5a914eba91407902e30bfe0f9817d4e2b6e5d83ca7eec2e0b63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/bundle.json","state_url":"https://pith.science/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/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":"2026-08-16T15:15:04Z","links":{"resolver":"https://pith.science/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F","bundle":"https://pith.science/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/bundle.json","state":"https://pith.science/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCRDXA3PALIZGRDKXQQ2WVEI5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NCRDXA3PALIZGRDKXQQ2WVEI5F","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":"c0a1da070ec7611e730f604db7e492f75c8d47a2d40261062dcc14138a4a352b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-05T02:58:09Z","title_canon_sha256":"28e4a600eeb4c53c9736113084758979410b0e6062cbac15dfebe859b70b0a3e"},"schema_version":"1.0","source":{"id":"2307.01996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01996","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01996v2","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01996","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_12","alias_value":"NCRDXA3PALIZ","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_16","alias_value":"NCRDXA3PALIZGRDK","created_at":"2026-07-05T07:47:03Z"},{"alias_kind":"pith_short_8","alias_value":"NCRDXA3P","created_at":"2026-07-05T07:47:03Z"}],"graph_snapshots":[{"event_id":"sha256:d48b989aaa71d5a914eba91407902e30bfe0f9817d4e2b6e5d83ca7eec2e0b63","target":"graph","created_at":"2026-07-05T07:47:03Z","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/2307.01996/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study geometrically thick and non-self gravitating equilibrium tori orbiting a static spherically symmetric dyonic black hole with quasi-topological electromagnetism. Our results show that the electric and magnetic charges together with the coupling parameter in the quasi-topological electromagnetism lead to a much richer class of equilibrium tori. There are a range of parameters which allow for the existence of double tori. The properties of double equilibrium tori become far richer. There exist transitions between single torus and double tori solutions as we change the specific angular mo","authors_text":"Jiliang Jing, Songbai Chen, Xuan Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-05T02:58:09Z","title":"Geometrically thick equilibrium tori around a dyonic black hole with quasi-topological electromagnetism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01996","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:a3bf8c6ca762f8629a626b0eae02f77d43cb81adf6c4ebc3d1e7bf65274cf524","target":"record","created_at":"2026-07-05T07:47:03Z","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":"c0a1da070ec7611e730f604db7e492f75c8d47a2d40261062dcc14138a4a352b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-05T02:58:09Z","title_canon_sha256":"28e4a600eeb4c53c9736113084758979410b0e6062cbac15dfebe859b70b0a3e"},"schema_version":"1.0","source":{"id":"2307.01996","kind":"arxiv","version":2}},"canonical_sha256":"68a23b836f02d193446abc21ab5488e9773e5244cab28ca9b60f74b612c98f22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68a23b836f02d193446abc21ab5488e9773e5244cab28ca9b60f74b612c98f22","first_computed_at":"2026-07-05T07:47:03.452819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:47:03.452819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UotUsxbV2Me2qn4hgOUc2cvkl5vJPQKJ8F1X6y8kbwkPEm8LkLcvcwLaQOuH3wMuozm0cCHL0qihZRwN7sNYBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:47:03.453373Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.01996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3bf8c6ca762f8629a626b0eae02f77d43cb81adf6c4ebc3d1e7bf65274cf524","sha256:d48b989aaa71d5a914eba91407902e30bfe0f9817d4e2b6e5d83ca7eec2e0b63"],"state_sha256":"7e7ab295e61a49fd13d3aedde7536d870d95beafa9d1b7de08028858ed5b1c62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qVQzOJLKaTrcd6Cy3Res9WK4J36NJBDsKmFkexZXyKZRUQAn5lCvEDsyVIDve6hKyiJGHUQDk5IGhbalaWJOAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T15:15:04.124549Z","bundle_sha256":"63b0cccf509ff595da2337b8287c5f52e0f20aff5c50da50d2f2562cbcb79396"}}