{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:MT7HTYYE7P5C52PWZ6XP2FOSFF","short_pith_number":"pith:MT7HTYYE","canonical_record":{"source":{"id":"astro-ph/0509130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-06T14:43:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"66c3a987e0c5a5d32330c7173b6b8bf06a4f007768662e5cd4c8afded5b06c09","abstract_canon_sha256":"550cff2b3713db57377b611a8ae87764dea9c1ea7aa40d4d72d449b1b62b3b49"},"schema_version":"1.0"},"canonical_sha256":"64fe79e304fbfa2ee9f6cfaefd15d22958eacf35dae5455b06f7e5dfa3889b98","source":{"kind":"arxiv","id":"astro-ph/0509130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509130","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509130v1","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509130","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"MT7HTYYE7P5C","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"MT7HTYYE7P5C52PW","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"MT7HTYYE","created_at":"2026-07-04T17:15:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:MT7HTYYE7P5C52PWZ6XP2FOSFF","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0509130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-06T14:43:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"66c3a987e0c5a5d32330c7173b6b8bf06a4f007768662e5cd4c8afded5b06c09","abstract_canon_sha256":"550cff2b3713db57377b611a8ae87764dea9c1ea7aa40d4d72d449b1b62b3b49"},"schema_version":"1.0"},"canonical_sha256":"64fe79e304fbfa2ee9f6cfaefd15d22958eacf35dae5455b06f7e5dfa3889b98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:15:06.554032Z","signature_b64":"gDkLqQK8tHs+R2JxT0vubyzLyfSMF+rnfpF39Gx1nUktylhY9hfeLWkjB4ei12qBOIHjxVx/mIWbVKvo5GsPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64fe79e304fbfa2ee9f6cfaefd15d22958eacf35dae5455b06f7e5dfa3889b98","last_reissued_at":"2026-07-04T17:15:06.553638Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:15:06.553638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0509130","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":"2026-07-04T17:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cp1HhODrhXj6zQiOZueBLlYbrSkrrDbe6WKMhI6KoIHJu0pG+sw7ANoBU9ZyW2TxizGuQkAeTWdHIXbz6NpdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T10:08:38.008390Z"},"content_sha256":"0fb21badf1854cc944fdaa43b11ae04320c4146c2a3d4615b6614e54e575c5cb","schema_version":"1.0","event_id":"sha256:0fb21badf1854cc944fdaa43b11ae04320c4146c2a3d4615b6614e54e575c5cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:MT7HTYYE7P5C52PWZ6XP2FOSFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Solutions to the Constraint Equation for a Force-Free Magnetosphere around a Kerr Black Hole","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"(2) NRL), Charles D. Dermer (2) ((1) Troy U., Govind Menon (1)","submitted_at":"2005-09-06T14:43:20Z","abstract_excerpt":"The Blandford-Znajek constraint equation for a stationary, axisymmetric black-hole force-free magnetosphere is cast in a 3+1 absolute space and time formulation, following Komissarov (2004). We derive an analytic solution for fields and currents to the constraint equation in the far-field limit that satisfies the Znajek condition at the event horizon. This solution generalizes the Blandford-Znajek monopole solution for a slowly rotating black hole to black holes with arbitrary angular momentum. Energy and angular momentum extraction through this solution occurs mostly along the equatorial plan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509130","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0509130/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":"2026-07-04T17:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NnL7JBWi5CuO2cdI7NB5df+o5f+oBTU1UnLeVzNeJleFTcHE50Q+yvxNcYyrWPRyrqbR/Siupenw1b264/D3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T10:08:38.008965Z"},"content_sha256":"b3375f5d1bb97ddc29c86f6c27703fb2647f1a78d180b7a904e86effb18a28cb","schema_version":"1.0","event_id":"sha256:b3375f5d1bb97ddc29c86f6c27703fb2647f1a78d180b7a904e86effb18a28cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/bundle.json","state_url":"https://pith.science/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/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":"2026-08-15T10:08:38Z","links":{"resolver":"https://pith.science/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF","bundle":"https://pith.science/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/bundle.json","state":"https://pith.science/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MT7HTYYE7P5C52PWZ6XP2FOSFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:MT7HTYYE7P5C52PWZ6XP2FOSFF","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":"550cff2b3713db57377b611a8ae87764dea9c1ea7aa40d4d72d449b1b62b3b49","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-06T14:43:20Z","title_canon_sha256":"66c3a987e0c5a5d32330c7173b6b8bf06a4f007768662e5cd4c8afded5b06c09"},"schema_version":"1.0","source":{"id":"astro-ph/0509130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509130","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509130v1","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509130","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"MT7HTYYE7P5C","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"MT7HTYYE7P5C52PW","created_at":"2026-07-04T17:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"MT7HTYYE","created_at":"2026-07-04T17:15:06Z"}],"graph_snapshots":[{"event_id":"sha256:b3375f5d1bb97ddc29c86f6c27703fb2647f1a78d180b7a904e86effb18a28cb","target":"graph","created_at":"2026-07-04T17:15:06Z","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/astro-ph/0509130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Blandford-Znajek constraint equation for a stationary, axisymmetric black-hole force-free magnetosphere is cast in a 3+1 absolute space and time formulation, following Komissarov (2004). We derive an analytic solution for fields and currents to the constraint equation in the far-field limit that satisfies the Znajek condition at the event horizon. This solution generalizes the Blandford-Znajek monopole solution for a slowly rotating black hole to black holes with arbitrary angular momentum. Energy and angular momentum extraction through this solution occurs mostly along the equatorial plan","authors_text":"(2) NRL), Charles D. Dermer (2) ((1) Troy U., Govind Menon (1)","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-09-06T14:43:20Z","title":"Analytic Solutions to the Constraint Equation for a Force-Free Magnetosphere around a Kerr Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509130","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":"sha256:0fb21badf1854cc944fdaa43b11ae04320c4146c2a3d4615b6614e54e575c5cb","target":"record","created_at":"2026-07-04T17:15:06Z","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":"550cff2b3713db57377b611a8ae87764dea9c1ea7aa40d4d72d449b1b62b3b49","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-06T14:43:20Z","title_canon_sha256":"66c3a987e0c5a5d32330c7173b6b8bf06a4f007768662e5cd4c8afded5b06c09"},"schema_version":"1.0","source":{"id":"astro-ph/0509130","kind":"arxiv","version":1}},"canonical_sha256":"64fe79e304fbfa2ee9f6cfaefd15d22958eacf35dae5455b06f7e5dfa3889b98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64fe79e304fbfa2ee9f6cfaefd15d22958eacf35dae5455b06f7e5dfa3889b98","first_computed_at":"2026-07-04T17:15:06.553638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:15:06.553638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gDkLqQK8tHs+R2JxT0vubyzLyfSMF+rnfpF39Gx1nUktylhY9hfeLWkjB4ei12qBOIHjxVx/mIWbVKvo5GsPDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:15:06.554032Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0509130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fb21badf1854cc944fdaa43b11ae04320c4146c2a3d4615b6614e54e575c5cb","sha256:b3375f5d1bb97ddc29c86f6c27703fb2647f1a78d180b7a904e86effb18a28cb"],"state_sha256":"19e23a270f0bbe3dd39d9087e782afc8632b5a19b7d61be836bd0455bbe7bee3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNNgIyNmbkIZCBbsdYSVHXk//ptghcGuPHZzZpBMon6MvtUYDNEbD3PufMQCGfCxhjFxrlM4rDTjCy3L0lN5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T10:08:38.020616Z","bundle_sha256":"a8b092596ae4b7f0cac4c35842d7016c7d05220755c2aa3b54cb7635d3e83f2d"}}