{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GFOT3YW6UYHAPYDSJA4HAHSPVO","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":"1c4f6d0480336c17e2f79e097977949347e0ff9d9d0157844489443629a008f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-06-19T02:55:47Z","title_canon_sha256":"d73e7b7ca6b84b93a024be9145d8152a5975dc8d781ab619b5ab18486eb483f3"},"schema_version":"1.0","source":{"id":"1406.4936","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4936","created_at":"2026-05-18T02:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4936v3","created_at":"2026-05-18T02:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4936","created_at":"2026-05-18T02:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"GFOT3YW6UYHA","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GFOT3YW6UYHAPYDS","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GFOT3YW6","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:7248499b5db9f6143fb543422e2f8be747dcccb29879931c291bf3b413cc866c","target":"graph","created_at":"2026-05-18T02:17:12Z","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":"In this paper, we propose a general method for perturtative solutions to Blandford-Znajek mechanism. Instead of solving the nonlinear Grad-Shafranov equation directly, we introduce an alternative way to determine relevant physical quantities based on the horizon boundary condition and the convergence requirement. Both the angular velocity $\\Omega$ of magnetic field lines, the toroidal magnetic field $B^\\phi$ and the total electric current $I$ are self-consistently specified according to our method. As an example, stationary axisymmetric and force-free jet models around rotating black holes are","authors_text":"Cong Yu, Zhen Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-06-19T02:55:47Z","title":"Highly-collimated, magnetically-dominated jets around rotating black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4936","kind":"arxiv","version":3},"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:eb757f320dad8aa114529555ce3bbea32c84ad906ac2c6d5411edff921170cd2","target":"record","created_at":"2026-05-18T02:17:12Z","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":"1c4f6d0480336c17e2f79e097977949347e0ff9d9d0157844489443629a008f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-06-19T02:55:47Z","title_canon_sha256":"d73e7b7ca6b84b93a024be9145d8152a5975dc8d781ab619b5ab18486eb483f3"},"schema_version":"1.0","source":{"id":"1406.4936","kind":"arxiv","version":3}},"canonical_sha256":"315d3de2dea60e07e0724838701e4fab876b5fc65d3c3278a0bfeeefad4fe262","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"315d3de2dea60e07e0724838701e4fab876b5fc65d3c3278a0bfeeefad4fe262","first_computed_at":"2026-05-18T02:17:12.180629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:12.180629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/yI36KX/vGFE/Hy7XS+IlsXc0iNNdyLF8yB/1gqsZ0+W/uRN+Ur+H4lgBZ8uZ+kntfIdeJVb8vcmoDYWHLGUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:12.181351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4936","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb757f320dad8aa114529555ce3bbea32c84ad906ac2c6d5411edff921170cd2","sha256:7248499b5db9f6143fb543422e2f8be747dcccb29879931c291bf3b413cc866c"],"state_sha256":"317a6dcc753e570535521cb9dd93ec444ee15bfdc9d9549fd4ce9718dc9835e1"}