{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JWGLKUPLMKXURX7W7NSGF6KJFS","short_pith_number":"pith:JWGLKUPL","schema_version":"1.0","canonical_sha256":"4d8cb551eb62af48dff6fb6462f9492c8550dc1ec454cc37fcaa2440390d9c93","source":{"kind":"arxiv","id":"1508.01560","version":2},"attestation_state":"computed","paper":{"title":"The fundamental class of smooth Kuranishi atlases with trivial isotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dusa McDuff, Katrin Wehrheim","submitted_at":"2015-08-06T22:57:49Z","abstract_excerpt":"Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regularized by geometric methods. Their core idea was to build such a cycle by patching local finite dimensional reductions. The first sections of this paper discuss topological, algebraic and analytic challenges that arise in this program.\n  We then develop a theory of Kuranishi atlases and cobordisms that transparently resolves these challenges, for simplicity concentrating on the case of trivial isotropy. In this case, 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":"1508.01560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-06T22:57:49Z","cross_cats_sorted":[],"title_canon_sha256":"01f4e73ed1de7bade66a0425e4f1baa7d48d7b581e2498734018cc52626067f6","abstract_canon_sha256":"2c4c5758ef1456ae5632b8c4ace69e458afa8858a583378bfb325b06bee42f95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:29.452311Z","signature_b64":"fg6O2Ps5fb+DBqsF04BR7waWReKOKG5oDNXaOMcQNiTcyBUU7PmtYbs1WJd6JfnrCKLKK4PvcoNtIW8jISrJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d8cb551eb62af48dff6fb6462f9492c8550dc1ec454cc37fcaa2440390d9c93","last_reissued_at":"2026-05-18T01:35:29.451645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:29.451645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The fundamental class of smooth Kuranishi atlases with trivial isotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dusa McDuff, Katrin Wehrheim","submitted_at":"2015-08-06T22:57:49Z","abstract_excerpt":"Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regularized by geometric methods. Their core idea was to build such a cycle by patching local finite dimensional reductions. The first sections of this paper discuss topological, algebraic and analytic challenges that arise in this program.\n  We then develop a theory of Kuranishi atlases and cobordisms that transparently resolves these challenges, for simplicity concentrating on the case of trivial isotropy. In this case, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01560","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":"1508.01560","created_at":"2026-05-18T01:35:29.451757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01560v2","created_at":"2026-05-18T01:35:29.451757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01560","created_at":"2026-05-18T01:35:29.451757+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWGLKUPLMKXU","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWGLKUPLMKXURX7W","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWGLKUPL","created_at":"2026-05-18T12:29:27.538025+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/JWGLKUPLMKXURX7W7NSGF6KJFS","json":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS.json","graph_json":"https://pith.science/api/pith-number/JWGLKUPLMKXURX7W7NSGF6KJFS/graph.json","events_json":"https://pith.science/api/pith-number/JWGLKUPLMKXURX7W7NSGF6KJFS/events.json","paper":"https://pith.science/paper/JWGLKUPL"},"agent_actions":{"view_html":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS","download_json":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS.json","view_paper":"https://pith.science/paper/JWGLKUPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01560&json=true","fetch_graph":"https://pith.science/api/pith-number/JWGLKUPLMKXURX7W7NSGF6KJFS/graph.json","fetch_events":"https://pith.science/api/pith-number/JWGLKUPLMKXURX7W7NSGF6KJFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS/action/storage_attestation","attest_author":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS/action/author_attestation","sign_citation":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS/action/citation_signature","submit_replication":"https://pith.science/pith/JWGLKUPLMKXURX7W7NSGF6KJFS/action/replication_record"}},"created_at":"2026-05-18T01:35:29.451757+00:00","updated_at":"2026-05-18T01:35:29.451757+00:00"}