{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7O446GHUUZTAR62VCGCFYVB2ZV","short_pith_number":"pith:7O446GHU","schema_version":"1.0","canonical_sha256":"fbb9cf18f4a66608fb5511845c543acd48186a070ebca971d9228cee6d80ef2c","source":{"kind":"arxiv","id":"1208.4693","version":1},"attestation_state":"computed","paper":{"title":"Solar Force-free Magnetic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Takashi Sakurai, Thomas Wiegelmann","submitted_at":"2012-08-23T08:50:47Z","abstract_excerpt":"The structure and dynamics of the solar corona is dominated by the magnetic field. In most areas in the corona magnetic forces are so dominant that all non-magnetic forces like plasma pressure gradient and gravity can be neglected in the lowest order. This model assumption is called the force-free field assumption, as the Lorentz force vanishes. This can be obtained by either vanishing electric currents (leading to potential fields) or the currents are co-aligned with the magnetic field lines. First we discuss a mathematically simpler approach that the magnetic field and currents are proportio"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1208.4693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-08-23T08:50:47Z","cross_cats_sorted":[],"title_canon_sha256":"f1bd05e5dc54a493d755b55f481583628d9c181be8da84cbc0d8a5f34b1efb3d","abstract_canon_sha256":"7ce7b3ad2c1316f09fd82da7c45cbaf0a4a8215e421121e4dfdc5023b39eac82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:25:14.420824Z","signature_b64":"xijqzdtyTy/5Xc+aaHBO2IQdhehn5HKPomqTLcgrQuBdOfJ4F7r4+ZTbO0f9i3USJP4ZiEGoRI5nQCHFSMo3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbb9cf18f4a66608fb5511845c543acd48186a070ebca971d9228cee6d80ef2c","last_reissued_at":"2026-07-05T02:25:14.420356Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:25:14.420356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solar Force-free Magnetic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Takashi Sakurai, Thomas Wiegelmann","submitted_at":"2012-08-23T08:50:47Z","abstract_excerpt":"The structure and dynamics of the solar corona is dominated by the magnetic field. In most areas in the corona magnetic forces are so dominant that all non-magnetic forces like plasma pressure gradient and gravity can be neglected in the lowest order. This model assumption is called the force-free field assumption, as the Lorentz force vanishes. This can be obtained by either vanishing electric currents (leading to potential fields) or the currents are co-aligned with the magnetic field lines. First we discuss a mathematically simpler approach that the magnetic field and currents are proportio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4693","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/1208.4693/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1208.4693","created_at":"2026-07-05T02:25:14.420414+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.4693v1","created_at":"2026-07-05T02:25:14.420414+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4693","created_at":"2026-07-05T02:25:14.420414+00:00"},{"alias_kind":"pith_short_12","alias_value":"7O446GHUUZTA","created_at":"2026-07-05T02:25:14.420414+00:00"},{"alias_kind":"pith_short_16","alias_value":"7O446GHUUZTAR62V","created_at":"2026-07-05T02:25:14.420414+00:00"},{"alias_kind":"pith_short_8","alias_value":"7O446GHU","created_at":"2026-07-05T02:25:14.420414+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.05575","citing_title":"Distribution of magnetic helicity and energy with height in solar atmosphere","ref_index":70,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV","json":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV.json","graph_json":"https://pith.science/api/pith-number/7O446GHUUZTAR62VCGCFYVB2ZV/graph.json","events_json":"https://pith.science/api/pith-number/7O446GHUUZTAR62VCGCFYVB2ZV/events.json","paper":"https://pith.science/paper/7O446GHU"},"agent_actions":{"view_html":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV","download_json":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV.json","view_paper":"https://pith.science/paper/7O446GHU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.4693&json=true","fetch_graph":"https://pith.science/api/pith-number/7O446GHUUZTAR62VCGCFYVB2ZV/graph.json","fetch_events":"https://pith.science/api/pith-number/7O446GHUUZTAR62VCGCFYVB2ZV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV/action/storage_attestation","attest_author":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV/action/author_attestation","sign_citation":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV/action/citation_signature","submit_replication":"https://pith.science/pith/7O446GHUUZTAR62VCGCFYVB2ZV/action/replication_record"}},"created_at":"2026-07-05T02:25:14.420414+00:00","updated_at":"2026-07-05T02:25:14.420414+00:00"}