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The main new geometric ingredient in the proof is a construction of the class \\(c_2c_3c_5\\), where the \\(c_i\\) are the elementary Chern classes after restriction to \\(T\\). This class is obtained from the proper equivariant push-forward associated with the affine cone over the spinor variety in its half-spin embedding for the "},"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":"2607.23729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-07-26T15:53:03Z","cross_cats_sorted":[],"title_canon_sha256":"3862882667fc15dc026cab39941c9b716279b893988bc28fbd2b5bdda1ef9ba8","abstract_canon_sha256":"5372b0e4a99ffedf9b394069f44458266670f4911660e07a3626b4f5d3b43b71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:23:07.890628Z","signature_b64":"t5cz352G0dzMejXrkWsCsislrloe3iA6nyFFxqdoY/OMx0bfWSgFIxLgWoi4ByXNHn3G4fUaNk1fF0Mr5CaOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"059e198ad04912b2f81dd32a361c381807a08f303815830320bae0b5a0f204df","last_reissued_at":"2026-07-28T01:23:07.889804Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:23:07.889804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Chow Characteristic Image of \\(\\Spin(10)\\) via the Affine Cone over the Spinor Variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sanghoon Baek","submitted_at":"2026-07-26T15:53:03Z","abstract_excerpt":"Let \\(G=\\Spin(10)\\) be the split spin group over a field of characteristic different from \\(2\\), and let \\(T\\subset G\\) be a split maximal torus. We determine the image of the integral Chow restriction map \\(\\CH(BG)\\to \\CH(BT)^W\\), equivalently \\(\\CH(BG)\\) modulo torsion. The main new geometric ingredient in the proof is a construction of the class \\(c_2c_3c_5\\), where the \\(c_i\\) are the elementary Chern classes after restriction to \\(T\\). 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