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Manifolds with corners $X$ have boundaries $\\partial X$, also manifolds with corners, with $\\mathop{\\rm dim}\\partial X=\\mathop{\\rm dim} X-1$.\n  We introduce a new notion of 'manifolds with generalized corners', or 'manifolds with g-corners', extending manifolds w"},"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":"1501.00401","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-02T13:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"45e6b0531655b16fe9a69b3fac2bb6b4f6fca9f344155d34143c83d3bbe27987","abstract_canon_sha256":"f57aee83dc315c51df00b3716a1f578ef2c552933bea0a1d3ffc967ece93292f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:33.540552Z","signature_b64":"SN0kjPlj+SZNuK1vIk6ltmeitXtdzOnrvSOd9KWPWhXEHgDX8zfVP1QfqzKP2KC2ocBhBcYU9KxAfrYmIzvWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb76b6da141c7f82b493a6c8ee118b02d9b4a2140c5d84581722f0ed4510847a","last_reissued_at":"2026-05-18T01:10:33.539982Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:33.539982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalization of manifolds with corners","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dominic Joyce","submitted_at":"2015-01-02T13:47:31Z","abstract_excerpt":"In conventional Differential Geometry one studies manifolds, locally modelled on ${\\mathbb R}^n$, manifolds with boundary, locally modelled on $[0,\\infty)\\times{\\mathbb R}^{n-1}$, and manifolds with corners, locally modelled on $[0,\\infty)^k\\times{\\mathbb R}^{n-k}$. 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