{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:76RBOYS4CJ5NLRYNBWPQ22Q26Y","short_pith_number":"pith:76RBOYS4","canonical_record":{"source":{"id":"1112.5909","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2011-12-27T02:51:27Z","cross_cats_sorted":[],"title_canon_sha256":"b4a1699674be202e5af551ef40359a94a645b201b7c69e3562c572d1f5478cba","abstract_canon_sha256":"9615ba700ae2e19c27176d0dc989f1196e1c269b3083c6f469626d35ff54debd"},"schema_version":"1.0"},"canonical_sha256":"ffa217625c127ad5c70d0d9f0d6a1af61b926203f8d7cba9b9c905a487f2d32f","source":{"kind":"arxiv","id":"1112.5909","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5909","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5909v1","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5909","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"76RBOYS4CJ5N","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"76RBOYS4CJ5NLRYN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"76RBOYS4","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:76RBOYS4CJ5NLRYNBWPQ22Q26Y","target":"record","payload":{"canonical_record":{"source":{"id":"1112.5909","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2011-12-27T02:51:27Z","cross_cats_sorted":[],"title_canon_sha256":"b4a1699674be202e5af551ef40359a94a645b201b7c69e3562c572d1f5478cba","abstract_canon_sha256":"9615ba700ae2e19c27176d0dc989f1196e1c269b3083c6f469626d35ff54debd"},"schema_version":"1.0"},"canonical_sha256":"ffa217625c127ad5c70d0d9f0d6a1af61b926203f8d7cba9b9c905a487f2d32f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:56.213007Z","signature_b64":"3H5A5F8p+Vxn/I+ufaXhJn3vxyegLhDiFGz34AKou6NaxO7cSsUsZ8EKpj2EtsHyYfpQtZGW1gl5SNLM1BY4Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffa217625c127ad5c70d0d9f0d6a1af61b926203f8d7cba9b9c905a487f2d32f","last_reissued_at":"2026-05-18T03:38:56.212382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:56.212382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.5909","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":"2026-05-18T03:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TD+fgYJXXu8Us7nZ9M97BSdEtqpzAWD6PM9Kwm8EmAcZNgMO9m3XabRnjBIyuKnO/XfVmcoJ3lP99PJ0uyjUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:47:16.422090Z"},"content_sha256":"e22961281fbfe79f69d747c3e00c3c35f2aa0f18fb94ed6fcb24b279d0ae8891","schema_version":"1.0","event_id":"sha256:e22961281fbfe79f69d747c3e00c3c35f2aa0f18fb94ed6fcb24b279d0ae8891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:76RBOYS4CJ5NLRYNBWPQ22Q26Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geodesic Structure of Test Particle in Bardeen Spacetime","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Juhua Chen, Sheng Zhou, Yongjiu Wang","submitted_at":"2011-12-27T02:51:27Z","abstract_excerpt":"The Bardeen model describes a regular space-time, i.e. a singularity-free black hole space-time. In this paper, by analyzing the behavior of the effective potential for the particles and photons, we investigate the time-like and null geodesic structures in the space-time of Bardeen model. At the same time, all kinds of orbits, which are allowed according to the energy level corresponding to the effective potentials, are numerically simulated in detail. We find many-world bound orbits, two-world escape orbits and escape orbits in this spacetime. We also find that bound orbits precession directi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5909","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":""},"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":"2026-05-18T03:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmoXaJ+Ivo/7ABXY/Ug9G2eLEKfcjxC9rPZXwvNEFXMXMznKhMW14RzFX9cyWBdcKJ5sH+JHkVMfA6zEfJjUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:47:16.422453Z"},"content_sha256":"a452fcdf064c31e36dca90e2bb3d26894d9729c0049e4942b0e18ef0e38dcca1","schema_version":"1.0","event_id":"sha256:a452fcdf064c31e36dca90e2bb3d26894d9729c0049e4942b0e18ef0e38dcca1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/bundle.json","state_url":"https://pith.science/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/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":"2026-05-25T23:47:16Z","links":{"resolver":"https://pith.science/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y","bundle":"https://pith.science/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/bundle.json","state":"https://pith.science/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76RBOYS4CJ5NLRYNBWPQ22Q26Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:76RBOYS4CJ5NLRYNBWPQ22Q26Y","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":"9615ba700ae2e19c27176d0dc989f1196e1c269b3083c6f469626d35ff54debd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2011-12-27T02:51:27Z","title_canon_sha256":"b4a1699674be202e5af551ef40359a94a645b201b7c69e3562c572d1f5478cba"},"schema_version":"1.0","source":{"id":"1112.5909","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5909","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5909v1","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5909","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"76RBOYS4CJ5N","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"76RBOYS4CJ5NLRYN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"76RBOYS4","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:a452fcdf064c31e36dca90e2bb3d26894d9729c0049e4942b0e18ef0e38dcca1","target":"graph","created_at":"2026-05-18T03:38:56Z","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":"The Bardeen model describes a regular space-time, i.e. a singularity-free black hole space-time. In this paper, by analyzing the behavior of the effective potential for the particles and photons, we investigate the time-like and null geodesic structures in the space-time of Bardeen model. At the same time, all kinds of orbits, which are allowed according to the energy level corresponding to the effective potentials, are numerically simulated in detail. We find many-world bound orbits, two-world escape orbits and escape orbits in this spacetime. We also find that bound orbits precession directi","authors_text":"Juhua Chen, Sheng Zhou, Yongjiu Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2011-12-27T02:51:27Z","title":"Geodesic Structure of Test Particle in Bardeen Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5909","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:e22961281fbfe79f69d747c3e00c3c35f2aa0f18fb94ed6fcb24b279d0ae8891","target":"record","created_at":"2026-05-18T03:38:56Z","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":"9615ba700ae2e19c27176d0dc989f1196e1c269b3083c6f469626d35ff54debd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2011-12-27T02:51:27Z","title_canon_sha256":"b4a1699674be202e5af551ef40359a94a645b201b7c69e3562c572d1f5478cba"},"schema_version":"1.0","source":{"id":"1112.5909","kind":"arxiv","version":1}},"canonical_sha256":"ffa217625c127ad5c70d0d9f0d6a1af61b926203f8d7cba9b9c905a487f2d32f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffa217625c127ad5c70d0d9f0d6a1af61b926203f8d7cba9b9c905a487f2d32f","first_computed_at":"2026-05-18T03:38:56.212382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:56.212382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3H5A5F8p+Vxn/I+ufaXhJn3vxyegLhDiFGz34AKou6NaxO7cSsUsZ8EKpj2EtsHyYfpQtZGW1gl5SNLM1BY4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:56.213007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.5909","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e22961281fbfe79f69d747c3e00c3c35f2aa0f18fb94ed6fcb24b279d0ae8891","sha256:a452fcdf064c31e36dca90e2bb3d26894d9729c0049e4942b0e18ef0e38dcca1"],"state_sha256":"a24260f3416bb0972b33a7f4119936da1faf0c3974cb393b4e2c67516c21ec1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffH/yNe6zu5I3Ebrr3oudGjXXW5QmKhZKGyHY8TOTd37+fV4yIKIMolpui8t4Yd45BJvzKEnOms6aUhqyad2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:47:16.424775Z","bundle_sha256":"10b5fd8e457421120043ee4a07b965d491532afb030679e6948d820857078537"}}