{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:EGZBUACDTOXUJU3263NG255CDA","short_pith_number":"pith:EGZBUACD","canonical_record":{"source":{"id":"0810.1049","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-06T20:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"21418b01d33340e6b79d55ff886fc9fcef2ff36a03ce9391117275482e007e7e","abstract_canon_sha256":"c44a3f028a93b821c8ec29ca635c6775e2ebfbd53554323ea41bafdb7f5b0f26"},"schema_version":"1.0"},"canonical_sha256":"21b21a00439baf44d37af6da6d77a2180075351aede18f1a3008760a736e51b5","source":{"kind":"arxiv","id":"0810.1049","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1049","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1049v3","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1049","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"EGZBUACDTOXU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EGZBUACDTOXUJU32","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EGZBUACD","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:EGZBUACDTOXUJU3263NG255CDA","target":"record","payload":{"canonical_record":{"source":{"id":"0810.1049","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-06T20:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"21418b01d33340e6b79d55ff886fc9fcef2ff36a03ce9391117275482e007e7e","abstract_canon_sha256":"c44a3f028a93b821c8ec29ca635c6775e2ebfbd53554323ea41bafdb7f5b0f26"},"schema_version":"1.0"},"canonical_sha256":"21b21a00439baf44d37af6da6d77a2180075351aede18f1a3008760a736e51b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:32.712356Z","signature_b64":"i/5aXvPPtjkFAerfun4x8ndiR/p7/bu1x/gDIO10QnNcgj2wNKp2q6hjtVznpget6A/UZKtES1Ov0LbP9IIEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21b21a00439baf44d37af6da6d77a2180075351aede18f1a3008760a736e51b5","last_reissued_at":"2026-05-18T02:15:32.711547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:32.711547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.1049","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iNfltWp4f5UGCbgWpSzJxZ9qUI1K60Hx3o3RkbPDVJAe79Gr8cwi4d5yJOux04nn23NTIHEjlXeTRLixiNGdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T19:00:32.006671Z"},"content_sha256":"dca6798ce770467580a296f8aadfd7afdafd643ce311ac1d5768ec90219eb0ef","schema_version":"1.0","event_id":"sha256:dca6798ce770467580a296f8aadfd7afdafd643ce311ac1d5768ec90219eb0ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:EGZBUACDTOXUJU3263NG255CDA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"J. Braithwaite (CITA)","submitted_at":"2008-10-06T20:00:08Z","abstract_excerpt":"In this third paper in a series on stable magnetic equilibria in stars, I look at the stability of axisymmetric field configurations and in particular at the relative strengths of the toroidal and poloidal components. Both toroidal and poloidal fields are unstable on their own, and stability is achieved by adding the two together in some ratio. I use Tayler's (1973) stability conditions for toroidal fields and other analytic tools to predict the range of stable ratios and then check these predictions by running numerical simulations. It is found that while the poloidal field can account for no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1049","kind":"arxiv","version":3},"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":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKk1HgTxcTGa76YwlyPJW3a4Q34fFWbU0XGzb31dEMfx5ZeTnkea+7E0XtltdovmvC7LGDXDI2cSEPGUeq4ZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T19:00:32.007013Z"},"content_sha256":"45fc4b578dbaa8d11910c42d94adde6c38aac2a14a2fadce6f299eb185c444f7","schema_version":"1.0","event_id":"sha256:45fc4b578dbaa8d11910c42d94adde6c38aac2a14a2fadce6f299eb185c444f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EGZBUACDTOXUJU3263NG255CDA/bundle.json","state_url":"https://pith.science/pith/EGZBUACDTOXUJU3263NG255CDA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EGZBUACDTOXUJU3263NG255CDA/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":"2026-07-11T19:00:32Z","links":{"resolver":"https://pith.science/pith/EGZBUACDTOXUJU3263NG255CDA","bundle":"https://pith.science/pith/EGZBUACDTOXUJU3263NG255CDA/bundle.json","state":"https://pith.science/pith/EGZBUACDTOXUJU3263NG255CDA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EGZBUACDTOXUJU3263NG255CDA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:EGZBUACDTOXUJU3263NG255CDA","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":"c44a3f028a93b821c8ec29ca635c6775e2ebfbd53554323ea41bafdb7f5b0f26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-06T20:00:08Z","title_canon_sha256":"21418b01d33340e6b79d55ff886fc9fcef2ff36a03ce9391117275482e007e7e"},"schema_version":"1.0","source":{"id":"0810.1049","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1049","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1049v3","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1049","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"EGZBUACDTOXU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EGZBUACDTOXUJU32","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EGZBUACD","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:45fc4b578dbaa8d11910c42d94adde6c38aac2a14a2fadce6f299eb185c444f7","target":"graph","created_at":"2026-05-18T02:15:32Z","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 third paper in a series on stable magnetic equilibria in stars, I look at the stability of axisymmetric field configurations and in particular at the relative strengths of the toroidal and poloidal components. Both toroidal and poloidal fields are unstable on their own, and stability is achieved by adding the two together in some ratio. I use Tayler's (1973) stability conditions for toroidal fields and other analytic tools to predict the range of stable ratios and then check these predictions by running numerical simulations. It is found that while the poloidal field can account for no","authors_text":"J. Braithwaite (CITA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-06T20:00:08Z","title":"Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1049","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:dca6798ce770467580a296f8aadfd7afdafd643ce311ac1d5768ec90219eb0ef","target":"record","created_at":"2026-05-18T02:15:32Z","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":"c44a3f028a93b821c8ec29ca635c6775e2ebfbd53554323ea41bafdb7f5b0f26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-06T20:00:08Z","title_canon_sha256":"21418b01d33340e6b79d55ff886fc9fcef2ff36a03ce9391117275482e007e7e"},"schema_version":"1.0","source":{"id":"0810.1049","kind":"arxiv","version":3}},"canonical_sha256":"21b21a00439baf44d37af6da6d77a2180075351aede18f1a3008760a736e51b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21b21a00439baf44d37af6da6d77a2180075351aede18f1a3008760a736e51b5","first_computed_at":"2026-05-18T02:15:32.711547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:32.711547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i/5aXvPPtjkFAerfun4x8ndiR/p7/bu1x/gDIO10QnNcgj2wNKp2q6hjtVznpget6A/UZKtES1Ov0LbP9IIEDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:32.712356Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.1049","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dca6798ce770467580a296f8aadfd7afdafd643ce311ac1d5768ec90219eb0ef","sha256:45fc4b578dbaa8d11910c42d94adde6c38aac2a14a2fadce6f299eb185c444f7"],"state_sha256":"6e4b3fa1c45c7c400df39668c632b5452bf96e1057847f7db1156b8febf5a512"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmVoiI/VlQiriy2gEttgBMf9Q4XNc4m4sSFbu2UNOGS9JIQh5w68DnCQbvr7VauQDCkuKTVp4Z44KhupRaKkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T19:00:32.009263Z","bundle_sha256":"aa90bbcff7b20793ffa3f758c18704837985759d84256b5941a30c97d01fa6ed"}}