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The main result is that this quadratic invariant depends only on the $\\mathbb{A}^1$-connected component contain"},"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":"1808.02238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-07T07:27:54Z","cross_cats_sorted":[],"title_canon_sha256":"00c7099b2987ac04bd25ed293d0f31ffe1e2ed5a4c9c5b18340752303cab2308","abstract_canon_sha256":"c184559cb7c73aaf7fe58488f1721695165bc60ce36365b0a581942272a759f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:47.147916Z","signature_b64":"BvUiWF5JHcUk8fA5BYrHuLZxX4RRip3h63kbDcT0qhoYU5T8Tgx88OK3BBrVvVfoeXFeLrba+bMbjHyQawhlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a129be1475b75754a826ccc305dec6e2d446d23af8f4d705c21e06d542f48225","last_reissued_at":"2026-05-18T00:08:47.147339Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:47.147339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toward an algebraic theory of Welschinger invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Marc Levine","submitted_at":"2018-08-07T07:27:54Z","abstract_excerpt":"Let $S$ be a smooth del Pezzo surface over a field $k$ of characteristic $\\neq 2, 3$. 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