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Kirby chose not to be listed as a coauthor.\n  A Pin^- structure on a surface F induces a quadratic enhancement of the mod 2 intersection form, q: H_1(F;Z/2Z) -> Z/4Z\n  Theorem 1.1 says that q vanishes on the kernel of the map in homology to a bounding 3-manifold. This is used by Kreck and Puppe (arXiv:0707.1599 [math.AT]) who refer for a proof to an email of the author to Kreck. A more polished and public proof seems desirable.\n  In [KT], section 6, a Pin^- structu"},"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":"0802.0111","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2008-02-01T19:53:36Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"d3e89bca86be9fa99f51584fc9cf691d9557c430cdaae8b16d87860093c9c40c","abstract_canon_sha256":"f6af89991bd547f4a6da88e5d441ca907b8d7f53c9cf3940498e3bb841bc5805"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:00.258553Z","signature_b64":"HV3rouPo+yZryVa+MnodYlOnZvyPLfYk2Q6lPLhGpCaUEEBUSqMRWoehz1jVVWkp80BommYLNK3dtOr8MV9vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"211e69737e4066c71c97a838c0add43b2caee9ef8fa85e3369ed388e89fdcf99","last_reissued_at":"2026-05-18T01:56:00.257877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:00.257877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic enhancements of surfaces: two vanishing results","license":"","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Laurence R. 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