{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NEQC4VN74JJIANVZOMBKKJPDE5","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":"a918a3d414af24757a0ad89e10587cb67eb13bc9533c3b85f134f25558c761d4","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-03-09T18:59:25Z","title_canon_sha256":"09517fe4dff17452279cd55bf34fed90875d74af399353cbaf8fc88f0b9fd144"},"schema_version":"1.0","source":{"id":"1803.03637","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03637","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03637v2","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03637","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"NEQC4VN74JJI","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NEQC4VN74JJIANVZ","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NEQC4VN7","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:43d99ded07372326a5bd2185cec5b5a9ce1971e48bda740954e912b4b26a5757","target":"graph","created_at":"2026-05-18T00:05:19Z","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":"In this note we present examples of $K(\\pi,1)$-arrangements which admit a restriction which fails to be $K(\\pi,1)$. This shows that asphericity is not hereditary among hyperplane arrangements.","authors_text":"Gerhard Roehrle, Nils Amend, Tilman Moeller","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-03-09T18:59:25Z","title":"Restrictions of aspherical arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03637","kind":"arxiv","version":2},"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:a21e2de505c126b134db1be66024dfa558955df1262535f7f3e0260b376cedc1","target":"record","created_at":"2026-05-18T00:05:19Z","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":"a918a3d414af24757a0ad89e10587cb67eb13bc9533c3b85f134f25558c761d4","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-03-09T18:59:25Z","title_canon_sha256":"09517fe4dff17452279cd55bf34fed90875d74af399353cbaf8fc88f0b9fd144"},"schema_version":"1.0","source":{"id":"1803.03637","kind":"arxiv","version":2}},"canonical_sha256":"69202e55bfe2528036b97302a525e3276c968ee72603a0bcd52a7e91e7141654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69202e55bfe2528036b97302a525e3276c968ee72603a0bcd52a7e91e7141654","first_computed_at":"2026-05-18T00:05:19.435520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:19.435520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ts/TmN26CJkRBF0wILWRopY1zZGQqAJMnRj4rZ46VVqRSP0YdzG0DJ721fmkf/vr5U1ijZeCFAqT1mzCpByEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:19.435985Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03637","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a21e2de505c126b134db1be66024dfa558955df1262535f7f3e0260b376cedc1","sha256:43d99ded07372326a5bd2185cec5b5a9ce1971e48bda740954e912b4b26a5757"],"state_sha256":"d74a564a493442291e82e0eb546b7e03a9fb1017bb443b1be3b596c0ec38c36c"}