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In this paper, we first show that the sheaf case with rank(beta)= 0 does not exist for the previous construction of SU(2) complex YM instantons [3]. We then show that in the new \"extended complex YM instantons\" discovered in this paper, rank(beta) can be either 2 on the whole CP^3 (bundle) with some given ADHM data or 1, 0 on some points of CP^3 wit"},"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":"1807.11763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T11:21:26Z","cross_cats_sorted":[],"title_canon_sha256":"61db507eb6c648e33e5899a17067243561ee4cf441ab599bfb9e5ad4163c9bd1","abstract_canon_sha256":"2070297f64133ab056487216dadcec4b5a5402fa078b162a31d0aca7905a22fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:55.251637Z","signature_b64":"ZQPXIUrTyo7XHDIntbtUAyj4dE+aDANkuxEZMsXw2at3kMngUjJNx2y2CbJ3lEIuNkE3LjjzP1dYrPBHDbWmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd31ae9bcaba75657854ca3c46389635019460219542062d391c6b31796e06fc","last_reissued_at":"2026-05-18T00:04:55.251092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:55.251092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended Complex Yang-Mills Instanton Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"I-Hsun Tsai, Jen-Chi Lee, Sheng-Hong Lai","submitted_at":"2018-07-31T11:21:26Z","abstract_excerpt":"In the search of YM instanton sheaves with topological charge two, the rank of beta matrix in the monad construction can be dropped from the bundle case with rank(beta)= 2 to either rank(beta) = 1 [4] or 0 on some points of CP^3 of the sheaf cases. 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