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We show that open invariants can be glued together to deduce the Bryan-Graber closed crepant resolution conjecture for the orbifold $[\\mathcal{O}_{\\mathbb{P}^1}(-1)\\oplus\\mathcal{O}_{\\mathbb{P}^1}(-1)/\\Z_2]$ and its crepant resolution $\\mathcal{K}_{\\mathbb{P}^1\\times\\mathbb{P}^1}$."},"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":"1102.0717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-03T16:01:58Z","cross_cats_sorted":[],"title_canon_sha256":"5782b6365bbc9b3e349f1c9c5d03db2799af1d92b62cde00eaafc319bb61c715","abstract_canon_sha256":"7f793c5887522b0abca4399e01a63e9a566727624a536665ebb43f9b3a4ba6d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:04.151687Z","signature_b64":"T+4fwWNU2q1kBcTcPjr229cZBMQC8hmBb+wBwQ44iKYobufC5b3MSpb6tLbNqYskzmgn8x97k6Y48RaleIwWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"befa3d010e4e5bba2d82ae3cc91a6bf94e57a0d8b7d62a6b8311e3d863756f56","last_reissued_at":"2026-05-18T04:30:04.151110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:04.151110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Open Gromov-Witten Theory and the Crepant Resolution Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dustin Ross, Renzo Cavalieri","submitted_at":"2011-02-03T16:01:58Z","abstract_excerpt":"We compute open GW invariants for $\\mathcal{K}_{\\mathbb{P}^1}\\oplus\\mathcal{O}_{\\mathbb{P}^1}$, open orbifold GW invariants for $[\\C^3/\\Z_2]$, formulate an open crepant resolution conjecture and verify it for this pair. 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