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As a consequence, we show that the proof of the known result that the indecomposable element $d_0 \\in \\mathrm{Ext}^{4,18}_{\\mathcal A}(\\mathbb Z/2, \\mathbb Z/2).$ lies in the image of the fourth Singer transfer, as given by"},"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":"2507.10108","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-07-14T09:47:58Z","cross_cats_sorted":[],"title_canon_sha256":"bc7032d5683e4ec47a44b4273aa80509d4b627e808021372e915845c45793136","abstract_canon_sha256":"759e32899cc30ff148a05138e9e2910f2e7295761e381874318296c9c3e81cf7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:42:55.189717Z","signature_b64":"QOqynVIcdq+0ySJ+h4za1p6rxGUKG1YKyvd4yEKaSSEtpCDabtClnpUip1lvWeQqGiCsAvD2ysFCOgJiH82/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac718ef4570028c3cd092d35480417e89c91434a72e8bb62b7c5682fac08b7d8","last_reissued_at":"2026-07-05T11:42:55.189122Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:42:55.189122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational Approaches to the Singer Transfer: Preimages in the Lambda Algebra and $G_k$-Invariant Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dang Vo Phuc","submitted_at":"2025-07-14T09:47:58Z","abstract_excerpt":"We present a systematic, algorithmic method to compute the preimage of elements under the Singer algebraic transfer. 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