{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EECNFKWV63ETZDNV3JDDXXCI3U","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":"411b94bd5f50205505720c4e669064bf891dcce052b0bdd59ad0e09b854541c4","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-10T18:19:28Z","title_canon_sha256":"919820238e22cc681f3cd2ed996e11eaeb0e404440f5979d680e042f8202dcae"},"schema_version":"1.0","source":{"id":"1806.03700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03700","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03700v2","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03700","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"EECNFKWV63ET","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EECNFKWV63ETZDNV","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EECNFKWV","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:30584094f322965e942f2ad04136310de05bced66e64afb62742143c924c7e46","target":"graph","created_at":"2026-05-18T00:07:40Z","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":"It is shown that various questions about the existence of simple closed curves in normal subgroups of surface groups are undecidable.","authors_text":"Ingrid Irmer","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-10T18:19:28Z","title":"Finding simple curves in surface covers is undecidable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03700","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:ae29cd62ce5ec41a81da5ae25ef028ca5096c9d77eb5746da11ce4f9dcf7789c","target":"record","created_at":"2026-05-18T00:07:40Z","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":"411b94bd5f50205505720c4e669064bf891dcce052b0bdd59ad0e09b854541c4","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-10T18:19:28Z","title_canon_sha256":"919820238e22cc681f3cd2ed996e11eaeb0e404440f5979d680e042f8202dcae"},"schema_version":"1.0","source":{"id":"1806.03700","kind":"arxiv","version":2}},"canonical_sha256":"2104d2aad5f6c93c8db5da463bdc48dd1fe982968f18e71f14b9ccf09eee15de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2104d2aad5f6c93c8db5da463bdc48dd1fe982968f18e71f14b9ccf09eee15de","first_computed_at":"2026-05-18T00:07:40.255739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:40.255739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rMsCs8EOJRqIKAq3BZMA3J3wScLyV5Dljhot9T0eIsbrHH+aQ4md+i8yBWV0QhRwcA4D40qw1VWC1ehUDl1MBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:40.256446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae29cd62ce5ec41a81da5ae25ef028ca5096c9d77eb5746da11ce4f9dcf7789c","sha256:30584094f322965e942f2ad04136310de05bced66e64afb62742143c924c7e46"],"state_sha256":"5978d7d95239bac0a774f50bfa0c3c221952c53d93227584e6e08234d5d90b9a"}