{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GQKV2R2AA4MOYIM46A26Q6OPV7","short_pith_number":"pith:GQKV2R2A","schema_version":"1.0","canonical_sha256":"34155d47400718ec219cf035e879cfaff33d5a70064d9065a7d7448105649830","source":{"kind":"arxiv","id":"1209.5606","version":1},"attestation_state":"computed","paper":{"title":"Magnetic Energy and Helicity Budgets in the Active-Region Solar Corona. II. Nonlinear Force-Free Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"K. Tziotziou, M. K. Georgoulis, N.-E. Raouafi","submitted_at":"2012-09-25T13:33:11Z","abstract_excerpt":"Expanding on an earlier work that relied on linear force-free magnetic fields, we self-consistently derive the instantaneous free magnetic energy and relative magnetic helicity budgets of an unknown three-dimensional nonlinear force-free magnetic structure extending above a single, known lower-boundary magnetic field vector. The proposed method does not rely on the detailed knowledge of the three-dimensional field configuration but is general enough to employ only a magnetic connectivity matrix on the lower boundary. The calculation yields a minimum free magnetic energy and a relative magnetic"},"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":"1209.5606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-09-25T13:33:11Z","cross_cats_sorted":[],"title_canon_sha256":"726f94ab03ec4a00b39cb8154b2e41a250d091e6cb07d9f7d4a5b4f047617e3f","abstract_canon_sha256":"d5cb45450fda82de32f45cdbc5aeaf6f4d8bb18f80c29a6e3e738ed1fc7b217b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:19.046876Z","signature_b64":"jrN6ufhGuT/u3MZIMopozn4hTZGxXowmxEdKkeHc8XLaTt+cgHEimJ61DbpdDSC+pjlicuaFlKO2n6VUXVvVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34155d47400718ec219cf035e879cfaff33d5a70064d9065a7d7448105649830","last_reissued_at":"2026-05-18T01:54:19.046475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:19.046475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Magnetic Energy and Helicity Budgets in the Active-Region Solar Corona. II. Nonlinear Force-Free Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"K. Tziotziou, M. K. Georgoulis, N.-E. Raouafi","submitted_at":"2012-09-25T13:33:11Z","abstract_excerpt":"Expanding on an earlier work that relied on linear force-free magnetic fields, we self-consistently derive the instantaneous free magnetic energy and relative magnetic helicity budgets of an unknown three-dimensional nonlinear force-free magnetic structure extending above a single, known lower-boundary magnetic field vector. The proposed method does not rely on the detailed knowledge of the three-dimensional field configuration but is general enough to employ only a magnetic connectivity matrix on the lower boundary. The calculation yields a minimum free magnetic energy and a relative magnetic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5606","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":""},"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":"1209.5606","created_at":"2026-05-18T01:54:19.046538+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.5606v1","created_at":"2026-05-18T01:54:19.046538+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5606","created_at":"2026-05-18T01:54:19.046538+00:00"},{"alias_kind":"pith_short_12","alias_value":"GQKV2R2AA4MO","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GQKV2R2AA4MOYIM4","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GQKV2R2A","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7","json":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7.json","graph_json":"https://pith.science/api/pith-number/GQKV2R2AA4MOYIM46A26Q6OPV7/graph.json","events_json":"https://pith.science/api/pith-number/GQKV2R2AA4MOYIM46A26Q6OPV7/events.json","paper":"https://pith.science/paper/GQKV2R2A"},"agent_actions":{"view_html":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7","download_json":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7.json","view_paper":"https://pith.science/paper/GQKV2R2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.5606&json=true","fetch_graph":"https://pith.science/api/pith-number/GQKV2R2AA4MOYIM46A26Q6OPV7/graph.json","fetch_events":"https://pith.science/api/pith-number/GQKV2R2AA4MOYIM46A26Q6OPV7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7/action/storage_attestation","attest_author":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7/action/author_attestation","sign_citation":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7/action/citation_signature","submit_replication":"https://pith.science/pith/GQKV2R2AA4MOYIM46A26Q6OPV7/action/replication_record"}},"created_at":"2026-05-18T01:54:19.046538+00:00","updated_at":"2026-05-18T01:54:19.046538+00:00"}