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We conclude that when $p=2$, every two totally separably $(n-1)$-linked $n$-fold quadratic Pfister forms are inseparably $(n-1)$-linked. We also describe how to construct non-isomorphic $n$-fold Pfister forms which"},"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":"1806.03603","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-06-10T07:40:34Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e6c24bc8707fc8438b17a8e227702a8ca49789beb69c38a36bad1963d14deb18","abstract_canon_sha256":"c327fe4c975d8872385e4398b1e56f4ae85ece04e2c49ba488b34ce47538926d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:09.263343Z","signature_b64":"7RBFYWJXdBmmtDK0JJHM++YFX2twohFPlLse79EvoT/zu+oMNQ8TQXl+qsUBf4b5/a8eOoYTmgAHMKtDufrMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b15e52d9b8b9af582a3526317207a0e1e78965b290ec6bae170d838beef1e5dc","last_reissued_at":"2026-05-18T00:01:09.262608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:09.262608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Types of Linkage of Quadratic Pfister Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Adam Chapman, Andrew Dolphin","submitted_at":"2018-06-10T07:40:34Z","abstract_excerpt":"Given a field $F$ of positive characteristic $p$, $\\theta \\in H_p^{n-1}(F)$ and $\\beta,\\gamma \\in F^\\times$, we prove that if the symbols $\\theta \\wedge \\frac{d \\beta}{\\beta}$ and $\\theta \\wedge \\frac{d \\gamma}{\\gamma}$ in $H_p^n(F)$ share the same factors in $H_p^1(F)$ then the symbol $\\theta \\wedge \\frac{d \\beta}{\\beta} \\wedge \\frac{d \\gamma}{\\gamma}$ in $H_p^{n+1}(F)$ is trivial. We conclude that when $p=2$, every two totally separably $(n-1)$-linked $n$-fold quadratic Pfister forms are inseparably $(n-1)$-linked. 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