{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BF6HL2QG2TLZECP4BG2SMKI25L","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3ad2af0f581d44c9a49184e68679351b769d591b042e658f7abac2359da209c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-02-09T10:13:47Z","title_canon_sha256":"0c5e55ce7f79d84a9d8533bcd5037676f8aa9d3111482930798769b3aed74621"},"schema_version":"1.0","source":{"id":"1802.03186","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03186","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03186v3","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03186","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"BF6HL2QG2TLZ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BF6HL2QG2TLZECP4","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BF6HL2QG","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:468447946fa19f63c468a030f3ea7ca5123a7a36eb22a0f44c74408d5188d099","target":"graph","created_at":"2026-05-18T00:06:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Two smooth manifolds M and N are called R-diffeomorphic if their product with the real line are diffeomorphic. We consider the following simplification problem: does R-diffeomorphism imply diffeomorphism or homeomorphism? For compact manifolds, analysis of this problem relies on some of the main achievements of the theory of manifolds, in particular the h- and s-cobordism theorems in high dimensions and the spectacular more recent classification results in dimensions 3 and 4. This paper presents what is currently known about the subject as well as some new results about classifications of R-di","authors_text":"Bj{\\o}rn Jahren, Jean-Claude Hausmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-02-09T10:13:47Z","title":"A simplification problem in manifold theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03186","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7a95baafa8dba9d8570fb4b2aba8800071d8991ebafc786136e1fab46022aa0b","target":"record","created_at":"2026-05-18T00:06:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3ad2af0f581d44c9a49184e68679351b769d591b042e658f7abac2359da209c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-02-09T10:13:47Z","title_canon_sha256":"0c5e55ce7f79d84a9d8533bcd5037676f8aa9d3111482930798769b3aed74621"},"schema_version":"1.0","source":{"id":"1802.03186","kind":"arxiv","version":3}},"canonical_sha256":"097c75ea06d4d79209fc09b526291aeac988bf28b093ce3b4147da062bd2c9fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"097c75ea06d4d79209fc09b526291aeac988bf28b093ce3b4147da062bd2c9fb","first_computed_at":"2026-05-18T00:06:46.264253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:46.264253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oZ1Zs4L7NuW8mMCAyLBQp18H43H/Vx07ahQHf+P4Hg8V5lmIes0HdO71G+ExcDzhaE+Swo9xIygZZ4H7zNPbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:46.265025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03186","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a95baafa8dba9d8570fb4b2aba8800071d8991ebafc786136e1fab46022aa0b","sha256:468447946fa19f63c468a030f3ea7ca5123a7a36eb22a0f44c74408d5188d099"],"state_sha256":"4e629094061debe37e4f87df7b38d814953c84dc4af0a6bdac26d563ae8994fa"}