{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:MLLE73G5V45YLTLDC3WRAS6Q5J","short_pith_number":"pith:MLLE73G5","canonical_record":{"source":{"id":"1908.01888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-05T22:31:44Z","cross_cats_sorted":[],"title_canon_sha256":"4aa0bf55c5872fe428588d3d18e7f2886b9ed691f41e4e5d73c636de03890e11","abstract_canon_sha256":"165f11bfd7c621b2fc7f36e35b007ec45fea40bf410ca38cbfd0610dd01c1273"},"schema_version":"1.0"},"canonical_sha256":"62d64fecddaf3b85cd6316ed104bd0ea6a4ac26b55599f56dba74c84368eac4a","source":{"kind":"arxiv","id":"1908.01888","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01888","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01888v2","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01888","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"MLLE73G5V45Y","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_16","alias_value":"MLLE73G5V45YLTLD","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_8","alias_value":"MLLE73G5","created_at":"2026-07-05T00:12:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:MLLE73G5V45YLTLDC3WRAS6Q5J","target":"record","payload":{"canonical_record":{"source":{"id":"1908.01888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-05T22:31:44Z","cross_cats_sorted":[],"title_canon_sha256":"4aa0bf55c5872fe428588d3d18e7f2886b9ed691f41e4e5d73c636de03890e11","abstract_canon_sha256":"165f11bfd7c621b2fc7f36e35b007ec45fea40bf410ca38cbfd0610dd01c1273"},"schema_version":"1.0"},"canonical_sha256":"62d64fecddaf3b85cd6316ed104bd0ea6a4ac26b55599f56dba74c84368eac4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:12:29.065689Z","signature_b64":"TGnkpb93a3hzwLZJ/QNiDxEnpS4PBVGENv1Na9iR052xHHJqntqySvOexSoLGLgE3EEUVFdddHJvx4UzRqmJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62d64fecddaf3b85cd6316ed104bd0ea6a4ac26b55599f56dba74c84368eac4a","last_reissued_at":"2026-07-05T00:12:29.065293Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:12:29.065293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.01888","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":"2026-07-05T00:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vHVKAn4smXoqpvsKu6omN6I0ZE2zHbCiEFfhxjBA9PX4CivxOkpYfRpm17FLlEJuMYNlENpjTjKqsId6ZEu+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T07:22:35.672281Z"},"content_sha256":"64e47367050c95f016624e532f39bbb2ba456e2f806cedc88b5e5030f33a0378","schema_version":"1.0","event_id":"sha256:64e47367050c95f016624e532f39bbb2ba456e2f806cedc88b5e5030f33a0378"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:MLLE73G5V45YLTLDC3WRAS6Q5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andrey Saveliev, Marko Sossich, Petar Pavlovi\\'c","submitted_at":"2019-08-05T22:31:44Z","abstract_excerpt":"The consequences of the vacuum polarization effect in magnetic fields around a Schwarzschild Black Hole on the motion of charged particles are investigated in this work. Using the weak electromagnetic field approximation, we discuss the non-minimal coupling between magnetic fields and gravity caused by the vacuum polarization and study the equations of motion for the case of a magnetic field configuration which asymptotically approaches a dipole magnetic field. It is shown that the presence of non-minimal coupling can significantly influence the motion of charged particles around Black Holes. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01888","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/1908.01888/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":"2026-07-05T00:12:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S7AouiAY3Wf5QPKzuUjHuxSU6vdNHjZ8NXg3Ak3tIascEpi0UXCsF77aovWZR10ahifU8ELQfBkZWvsVp9i4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T07:22:35.672790Z"},"content_sha256":"947d293d793b16069bc067c0d2ad82123e3a6b0dcc46258f7786f3a3dfc4ebf4","schema_version":"1.0","event_id":"sha256:947d293d793b16069bc067c0d2ad82123e3a6b0dcc46258f7786f3a3dfc4ebf4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/bundle.json","state_url":"https://pith.science/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/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":"2026-08-15T07:22:35Z","links":{"resolver":"https://pith.science/pith/MLLE73G5V45YLTLDC3WRAS6Q5J","bundle":"https://pith.science/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/bundle.json","state":"https://pith.science/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MLLE73G5V45YLTLDC3WRAS6Q5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MLLE73G5V45YLTLDC3WRAS6Q5J","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":"165f11bfd7c621b2fc7f36e35b007ec45fea40bf410ca38cbfd0610dd01c1273","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-05T22:31:44Z","title_canon_sha256":"4aa0bf55c5872fe428588d3d18e7f2886b9ed691f41e4e5d73c636de03890e11"},"schema_version":"1.0","source":{"id":"1908.01888","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01888","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01888v2","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01888","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"MLLE73G5V45Y","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_16","alias_value":"MLLE73G5V45YLTLD","created_at":"2026-07-05T00:12:29Z"},{"alias_kind":"pith_short_8","alias_value":"MLLE73G5","created_at":"2026-07-05T00:12:29Z"}],"graph_snapshots":[{"event_id":"sha256:947d293d793b16069bc067c0d2ad82123e3a6b0dcc46258f7786f3a3dfc4ebf4","target":"graph","created_at":"2026-07-05T00:12:29Z","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/1908.01888/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The consequences of the vacuum polarization effect in magnetic fields around a Schwarzschild Black Hole on the motion of charged particles are investigated in this work. Using the weak electromagnetic field approximation, we discuss the non-minimal coupling between magnetic fields and gravity caused by the vacuum polarization and study the equations of motion for the case of a magnetic field configuration which asymptotically approaches a dipole magnetic field. It is shown that the presence of non-minimal coupling can significantly influence the motion of charged particles around Black Holes. ","authors_text":"Andrey Saveliev, Marko Sossich, Petar Pavlovi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-05T22:31:44Z","title":"Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01888","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":"sha256:64e47367050c95f016624e532f39bbb2ba456e2f806cedc88b5e5030f33a0378","target":"record","created_at":"2026-07-05T00:12:29Z","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":"165f11bfd7c621b2fc7f36e35b007ec45fea40bf410ca38cbfd0610dd01c1273","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-05T22:31:44Z","title_canon_sha256":"4aa0bf55c5872fe428588d3d18e7f2886b9ed691f41e4e5d73c636de03890e11"},"schema_version":"1.0","source":{"id":"1908.01888","kind":"arxiv","version":2}},"canonical_sha256":"62d64fecddaf3b85cd6316ed104bd0ea6a4ac26b55599f56dba74c84368eac4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62d64fecddaf3b85cd6316ed104bd0ea6a4ac26b55599f56dba74c84368eac4a","first_computed_at":"2026-07-05T00:12:29.065293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:12:29.065293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TGnkpb93a3hzwLZJ/QNiDxEnpS4PBVGENv1Na9iR052xHHJqntqySvOexSoLGLgE3EEUVFdddHJvx4UzRqmJDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:12:29.065689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01888","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64e47367050c95f016624e532f39bbb2ba456e2f806cedc88b5e5030f33a0378","sha256:947d293d793b16069bc067c0d2ad82123e3a6b0dcc46258f7786f3a3dfc4ebf4"],"state_sha256":"98e5398404ebe6cc431f8d704eb23dc653ed6c5f60291ac7d22ced0c9f8750a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RwO+oLP3xEl58gaJ6BTe5cM++VIlnZcRiCjErJW20CyFdBHCAdfJ9xAS6BevV+GqsweJkbvH3wzbn1lxUf9uCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T07:22:35.677831Z","bundle_sha256":"b168836b11f64d862a7aa5091e5f1d8ec47be1422664d25699ed9d0b31aa2159"}}