{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RCCV2F7Z7DEO7QLK5AU3DXOMBO","short_pith_number":"pith:RCCV2F7Z","schema_version":"1.0","canonical_sha256":"88855d17f9f8c8efc16ae829b1ddcc0b8cecff85fb170e86a8d29bdd5ffecbbe","source":{"kind":"arxiv","id":"1506.05350","version":2},"attestation_state":"computed","paper":{"title":"Strict orbifold atlases and weighted branched manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dusa McDuff","submitted_at":"2015-06-17T14:52:28Z","abstract_excerpt":"This note revisits the ideas in an earlier (2007) paper on orbifolds and branched manifolds, showing how the constructions can be simplified by using a version of the Kuranishi atlases recently developed by McDuff--Wehrheim. We first show that every orbifold has such an atlas, and then use it to obtain explicit models first for the nonsingular resolution of an oriented orbifold (which is a weighted nonsingular groupoid with the same fundamental class) and second for the Euler class of an oriented orbibundle. In this approach, instead of appearing as the zero set of a multivalued section, the E"},"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":"1506.05350","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-06-17T14:52:28Z","cross_cats_sorted":[],"title_canon_sha256":"289f7bcf48318f8dc1648ed37335a1bb02b7a33120d02b6452bb43c8f9a8200f","abstract_canon_sha256":"d2b3ec286db1f5afb32007583f055d22fe5b3258fcf24f58e72b2c52853bbc17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:57.553601Z","signature_b64":"laP9VorSg8g0OCsstMpS9s2L8NoXf026QAPLFGSZ3aE9737EfuHNS6WSPoIgvQlcvCSuDhcO8Dgakb0foRhjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88855d17f9f8c8efc16ae829b1ddcc0b8cecff85fb170e86a8d29bdd5ffecbbe","last_reissued_at":"2026-05-18T01:26:57.553025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:57.553025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strict orbifold atlases and weighted branched manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dusa McDuff","submitted_at":"2015-06-17T14:52:28Z","abstract_excerpt":"This note revisits the ideas in an earlier (2007) paper on orbifolds and branched manifolds, showing how the constructions can be simplified by using a version of the Kuranishi atlases recently developed by McDuff--Wehrheim. We first show that every orbifold has such an atlas, and then use it to obtain explicit models first for the nonsingular resolution of an oriented orbifold (which is a weighted nonsingular groupoid with the same fundamental class) and second for the Euler class of an oriented orbibundle. In this approach, instead of appearing as the zero set of a multivalued section, the E"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05350","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.05350","created_at":"2026-05-18T01:26:57.553108+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.05350v2","created_at":"2026-05-18T01:26:57.553108+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05350","created_at":"2026-05-18T01:26:57.553108+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCCV2F7Z7DEO","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCCV2F7Z7DEO7QLK","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCCV2F7Z","created_at":"2026-05-18T12:29:39.896362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO","json":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO.json","graph_json":"https://pith.science/api/pith-number/RCCV2F7Z7DEO7QLK5AU3DXOMBO/graph.json","events_json":"https://pith.science/api/pith-number/RCCV2F7Z7DEO7QLK5AU3DXOMBO/events.json","paper":"https://pith.science/paper/RCCV2F7Z"},"agent_actions":{"view_html":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO","download_json":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO.json","view_paper":"https://pith.science/paper/RCCV2F7Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.05350&json=true","fetch_graph":"https://pith.science/api/pith-number/RCCV2F7Z7DEO7QLK5AU3DXOMBO/graph.json","fetch_events":"https://pith.science/api/pith-number/RCCV2F7Z7DEO7QLK5AU3DXOMBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO/action/storage_attestation","attest_author":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO/action/author_attestation","sign_citation":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO/action/citation_signature","submit_replication":"https://pith.science/pith/RCCV2F7Z7DEO7QLK5AU3DXOMBO/action/replication_record"}},"created_at":"2026-05-18T01:26:57.553108+00:00","updated_at":"2026-05-18T01:26:57.553108+00:00"}