{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CP6TS3LRPHUUFRQQPFQ4KZ53HS","short_pith_number":"pith:CP6TS3LR","schema_version":"1.0","canonical_sha256":"13fd396d7179e942c6107961c567bb3c939db0eac8b4c26c053537df85ae01a5","source":{"kind":"arxiv","id":"1610.04719","version":2},"attestation_state":"computed","paper":{"title":"Ideal Relaxation of the Hopf Fibration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Christopher Berg Smiet, Dirk Bouwmeester, Simon Candelaresi","submitted_at":"2016-10-15T11:11:17Z","abstract_excerpt":"Ideal MHD relaxation is the topology-conserving reconfiguration of a magnetic field into a lower energy state where the net force is zero. This is achieved by modeling the plasma as perfectly conducting viscous fluid. It is an important tool for investigating plasma equilibria and is often used to study the magnetic configurations in fusion devices and astrophysical plasmas. We study the equilibrium reached by a localized magnetic field through the topology conserving relaxation of a magnetic field based on the Hopf fibration in which magnetic field lines are closed circles that are all linked"},"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":"1610.04719","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2016-10-15T11:11:17Z","cross_cats_sorted":[],"title_canon_sha256":"49c4dc0ff8343a8e9e7ce0c9e1082e5e3d3683c61fa25ac2fa922065e3764e1a","abstract_canon_sha256":"addf48d60e4e0a19237bc88aaa468697c7101fb5c4eaf4af4e5b13a6bdbbcbe6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:02.993612Z","signature_b64":"27eeXb82jhp9COY93YvZVg6fDoHkQ57Uy3v9tJ7mxyaGos51MaWGaFVNyComPPj74KiQJi7r5+hxfv5R4QIECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13fd396d7179e942c6107961c567bb3c939db0eac8b4c26c053537df85ae01a5","last_reissued_at":"2026-05-18T00:32:02.993102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:02.993102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ideal Relaxation of the Hopf Fibration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Christopher Berg Smiet, Dirk Bouwmeester, Simon Candelaresi","submitted_at":"2016-10-15T11:11:17Z","abstract_excerpt":"Ideal MHD relaxation is the topology-conserving reconfiguration of a magnetic field into a lower energy state where the net force is zero. This is achieved by modeling the plasma as perfectly conducting viscous fluid. It is an important tool for investigating plasma equilibria and is often used to study the magnetic configurations in fusion devices and astrophysical plasmas. We study the equilibrium reached by a localized magnetic field through the topology conserving relaxation of a magnetic field based on the Hopf fibration in which magnetic field lines are closed circles that are all linked"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04719","kind":"arxiv","version":2},"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":"1610.04719","created_at":"2026-05-18T00:32:02.993171+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.04719v2","created_at":"2026-05-18T00:32:02.993171+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04719","created_at":"2026-05-18T00:32:02.993171+00:00"},{"alias_kind":"pith_short_12","alias_value":"CP6TS3LRPHUU","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CP6TS3LRPHUUFRQQ","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CP6TS3LR","created_at":"2026-05-18T12:30:09.641336+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/CP6TS3LRPHUUFRQQPFQ4KZ53HS","json":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS.json","graph_json":"https://pith.science/api/pith-number/CP6TS3LRPHUUFRQQPFQ4KZ53HS/graph.json","events_json":"https://pith.science/api/pith-number/CP6TS3LRPHUUFRQQPFQ4KZ53HS/events.json","paper":"https://pith.science/paper/CP6TS3LR"},"agent_actions":{"view_html":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS","download_json":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS.json","view_paper":"https://pith.science/paper/CP6TS3LR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.04719&json=true","fetch_graph":"https://pith.science/api/pith-number/CP6TS3LRPHUUFRQQPFQ4KZ53HS/graph.json","fetch_events":"https://pith.science/api/pith-number/CP6TS3LRPHUUFRQQPFQ4KZ53HS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS/action/storage_attestation","attest_author":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS/action/author_attestation","sign_citation":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS/action/citation_signature","submit_replication":"https://pith.science/pith/CP6TS3LRPHUUFRQQPFQ4KZ53HS/action/replication_record"}},"created_at":"2026-05-18T00:32:02.993171+00:00","updated_at":"2026-05-18T00:32:02.993171+00:00"}