{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2HLWKZQHQS4F5A6XMBPQF7Z52T","short_pith_number":"pith:2HLWKZQH","schema_version":"1.0","canonical_sha256":"d1d765660784b85e83d7605f02ff3dd4fcd7f8b3a639789cce052ea8a7684426","source":{"kind":"arxiv","id":"1002.1216","version":1},"attestation_state":"computed","paper":{"title":"Cyclic Monopoles, Affine Toda and Spectral Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"H.W. Braden","submitted_at":"2010-02-05T13:01:44Z","abstract_excerpt":"We show that any cyclically symmetric monopole is gauge equivalent to Nahm data given by Sutcliffe's ansatz, and so obtained from the affine Toda equations. Further the direction (the Ercolani-Sinha vector) and base point of the linearising flow in the Jacobian of the spectral curve associated to the Nahm equations arise as pull-backs of Toda data. A theorem of Accola and Fay then means that the theta-functions arising in the solution of the monopole problem reduce to the theta-functions of Toda."},"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":"1002.1216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-02-05T13:01:44Z","cross_cats_sorted":["hep-th","math.DG","math.MP"],"title_canon_sha256":"2433bdb0e0a63765e99d30c6e973f078a93b1a620653bb787b07c83f8b8e3a24","abstract_canon_sha256":"839a22a6ccbd1634d2d03e415132b3adc46d0d9acb09ec6daa8e12ef357eab91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:19.225263Z","signature_b64":"5aY7zId9ATggkhfSpO+jzYqFIYcuHA8qXTwulXQ0Y9ABAseHGJSOEwYQkZNyhYUuUhb+ub6XB42l9yq8MvpkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1d765660784b85e83d7605f02ff3dd4fcd7f8b3a639789cce052ea8a7684426","last_reissued_at":"2026-05-18T02:09:19.224402Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:19.224402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic Monopoles, Affine Toda and Spectral Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"H.W. Braden","submitted_at":"2010-02-05T13:01:44Z","abstract_excerpt":"We show that any cyclically symmetric monopole is gauge equivalent to Nahm data given by Sutcliffe's ansatz, and so obtained from the affine Toda equations. Further the direction (the Ercolani-Sinha vector) and base point of the linearising flow in the Jacobian of the spectral curve associated to the Nahm equations arise as pull-backs of Toda data. A theorem of Accola and Fay then means that the theta-functions arising in the solution of the monopole problem reduce to the theta-functions of Toda."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1216","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":"1002.1216","created_at":"2026-05-18T02:09:19.224555+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.1216v1","created_at":"2026-05-18T02:09:19.224555+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1216","created_at":"2026-05-18T02:09:19.224555+00:00"},{"alias_kind":"pith_short_12","alias_value":"2HLWKZQHQS4F","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2HLWKZQHQS4F5A6X","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2HLWKZQH","created_at":"2026-05-18T12:26:03.138858+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/2HLWKZQHQS4F5A6XMBPQF7Z52T","json":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T.json","graph_json":"https://pith.science/api/pith-number/2HLWKZQHQS4F5A6XMBPQF7Z52T/graph.json","events_json":"https://pith.science/api/pith-number/2HLWKZQHQS4F5A6XMBPQF7Z52T/events.json","paper":"https://pith.science/paper/2HLWKZQH"},"agent_actions":{"view_html":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T","download_json":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T.json","view_paper":"https://pith.science/paper/2HLWKZQH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.1216&json=true","fetch_graph":"https://pith.science/api/pith-number/2HLWKZQHQS4F5A6XMBPQF7Z52T/graph.json","fetch_events":"https://pith.science/api/pith-number/2HLWKZQHQS4F5A6XMBPQF7Z52T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T/action/storage_attestation","attest_author":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T/action/author_attestation","sign_citation":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T/action/citation_signature","submit_replication":"https://pith.science/pith/2HLWKZQHQS4F5A6XMBPQF7Z52T/action/replication_record"}},"created_at":"2026-05-18T02:09:19.224555+00:00","updated_at":"2026-05-18T02:09:19.224555+00:00"}