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Using GIT we contruct a coarse moduli space for $\\delta$-semistable pairs $(\\mathcal{E},\\phi)$ consisting of a coherent sheaf $\\mathcal{E}$ and a homomorphism $\\phi\\colon \\mathcal{D}\\rightarrow \\mathcal{E}$. We prove a chamber structure result and establish a connection to the moduli space of coherent systems constructed by Le Potier in \\cite{LeP} and \\cite{LeP2}."},"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":"1011.3328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-15T10:00:40Z","cross_cats_sorted":[],"title_canon_sha256":"e5b887a9a664d3c00d6e11ae45e34f9372299076a8b1a6fd51c7ea962fae61d7","abstract_canon_sha256":"a6fe4171504cf7cdd31c32ab29e6885ba5a93d26b89dd56bbb1088e28d32869e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:19.240730Z","signature_b64":"VqnC+0lPvAFo1s7W4X49tBvADOrz51pAXBB/8idXxJRvc6VAnO1t/Wvw9iRUR6KOoYCoHhUZaoIWGMeSyXPwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"984590a79b594fd0a91b9107e50b17e8eb2f67bd795afcc275c3bcce2b76ffea","last_reissued_at":"2026-05-18T02:25:19.240387Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:19.240387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli Spaces of Stable Pairs in Donaldson-Thomas Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Malte Wandel","submitted_at":"2010-11-15T10:00:40Z","abstract_excerpt":"Let $(X,\\mathcal{O}_X(1))$ be a polarized smooth projective variety over the complex numbers. 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