{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UXNM3CCJWKKD2QUK7DMKGTZ6KT","short_pith_number":"pith:UXNM3CCJ","schema_version":"1.0","canonical_sha256":"a5dacd8849b2943d428af8d8a34f3e54e89876234125ac8ca8b568e093bc07bd","source":{"kind":"arxiv","id":"1908.00036","version":1},"attestation_state":"computed","paper":{"title":"Complex Representation of Potentials and Fields for the Nonlinear Magnetic Insert of the Integrable Optics Test Accelerator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.acc-ph","authors_text":"Chad Mitchell","submitted_at":"2019-07-31T18:27:13Z","abstract_excerpt":"An alternative representation for the vector potential of the nonlinear magnetic insert for the Integrable Optics Test Accelerator (IOTA), first described in Sec. V.A. of the paper of Danilov and Nagaitsev, is determined from first principles using standard complex variable methods. In particular, it is shown that the coupled system consisting of the 2D Laplace equation and the Bertrand-Darboux equation is equivalent to a single ordinary differential equation in the complex plane, and a simple solution is constructed. The results are consistent with the paper of Danilov and Nagaitsev, and this"},"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":"1908.00036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2019-07-31T18:27:13Z","cross_cats_sorted":[],"title_canon_sha256":"ecdc1ca03bc0e8555fdbf57eda31ac5f73a242fc406c85ef6ecfc7c817a20f78","abstract_canon_sha256":"a085cdf7d9defed2cb5c80bfd75611f02a16bed05cd0d699577c6c2c0e6244ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:50:56.509157Z","signature_b64":"FgOaXKpocKl/asumD47mgswKLjVezuFZbUZla8iEFch84GQ3Xl8lcpCkTxyqdmy4ABGz8hqWRS04runQe37XDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5dacd8849b2943d428af8d8a34f3e54e89876234125ac8ca8b568e093bc07bd","last_reissued_at":"2026-07-04T23:50:56.508499Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:50:56.508499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complex Representation of Potentials and Fields for the Nonlinear Magnetic Insert of the Integrable Optics Test Accelerator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.acc-ph","authors_text":"Chad Mitchell","submitted_at":"2019-07-31T18:27:13Z","abstract_excerpt":"An alternative representation for the vector potential of the nonlinear magnetic insert for the Integrable Optics Test Accelerator (IOTA), first described in Sec. V.A. of the paper of Danilov and Nagaitsev, is determined from first principles using standard complex variable methods. In particular, it is shown that the coupled system consisting of the 2D Laplace equation and the Bertrand-Darboux equation is equivalent to a single ordinary differential equation in the complex plane, and a simple solution is constructed. The results are consistent with the paper of Danilov and Nagaitsev, and this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00036","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/1908.00036/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":"1908.00036","created_at":"2026-07-04T23:50:56.508611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.00036v1","created_at":"2026-07-04T23:50:56.508611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00036","created_at":"2026-07-04T23:50:56.508611+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXNM3CCJWKKD","created_at":"2026-07-04T23:50:56.508611+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXNM3CCJWKKD2QUK","created_at":"2026-07-04T23:50:56.508611+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXNM3CCJ","created_at":"2026-07-04T23:50:56.508611+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/UXNM3CCJWKKD2QUK7DMKGTZ6KT","json":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT.json","graph_json":"https://pith.science/api/pith-number/UXNM3CCJWKKD2QUK7DMKGTZ6KT/graph.json","events_json":"https://pith.science/api/pith-number/UXNM3CCJWKKD2QUK7DMKGTZ6KT/events.json","paper":"https://pith.science/paper/UXNM3CCJ"},"agent_actions":{"view_html":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT","download_json":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT.json","view_paper":"https://pith.science/paper/UXNM3CCJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.00036&json=true","fetch_graph":"https://pith.science/api/pith-number/UXNM3CCJWKKD2QUK7DMKGTZ6KT/graph.json","fetch_events":"https://pith.science/api/pith-number/UXNM3CCJWKKD2QUK7DMKGTZ6KT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT/action/storage_attestation","attest_author":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT/action/author_attestation","sign_citation":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT/action/citation_signature","submit_replication":"https://pith.science/pith/UXNM3CCJWKKD2QUK7DMKGTZ6KT/action/replication_record"}},"created_at":"2026-07-04T23:50:56.508611+00:00","updated_at":"2026-07-04T23:50:56.508611+00:00"}