{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Z6PTFKLUOHSN376OKE4PB3OHUB","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":"9fcb3afbea81092417a1f66bbc09bd05fa8ae4044ab73fc04ea76955a62f2c34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-10-31T22:55:03Z","title_canon_sha256":"2f9b366cdc098acefa11d17123133736902a83b294b295f6d2ab6c604a87098e"},"schema_version":"1.0","source":{"id":"1811.00886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00886","created_at":"2026-05-18T00:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00886v1","created_at":"2026-05-18T00:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00886","created_at":"2026-05-18T00:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"Z6PTFKLUOHSN","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Z6PTFKLUOHSN376O","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Z6PTFKLU","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:3406e5859e72a0623cb8545bbafeda7ca44e6e0fda3ce22ebc22b1756e0f1d19","target":"graph","created_at":"2026-05-18T00:01:41Z","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":"We show that there are infinitely many nonisomorphic quandle structures on any topogical space $X$ of positive dimension. In particular, we disprove the conjecture, asserting that there are no nontrivial quandle structures on the closed unit interval $[0,1]$.","authors_text":"Boris Tsvelikhovskiy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-10-31T22:55:03Z","title":"Nontrivial Topological Quandles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00886","kind":"arxiv","version":1},"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":"sha256:2a7ac28c9dfcb31f2f8d886f59c56faf2845f46e1cd188bc30e2b1c1f6d26ef6","target":"record","created_at":"2026-05-18T00:01:41Z","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":"9fcb3afbea81092417a1f66bbc09bd05fa8ae4044ab73fc04ea76955a62f2c34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-10-31T22:55:03Z","title_canon_sha256":"2f9b366cdc098acefa11d17123133736902a83b294b295f6d2ab6c604a87098e"},"schema_version":"1.0","source":{"id":"1811.00886","kind":"arxiv","version":1}},"canonical_sha256":"cf9f32a97471e4ddffce5138f0edc7a07966339539376ebcaa526d7858e92d25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf9f32a97471e4ddffce5138f0edc7a07966339539376ebcaa526d7858e92d25","first_computed_at":"2026-05-18T00:01:41.840621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:41.840621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PLNilik8ymdOfnoBL4LEMBMHLDePH0NxIoUJWIJSADygbfqfhH9XD/EeZLj6qC80gvDiktmoCflWJfB+JTIsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:41.841064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.00886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a7ac28c9dfcb31f2f8d886f59c56faf2845f46e1cd188bc30e2b1c1f6d26ef6","sha256:3406e5859e72a0623cb8545bbafeda7ca44e6e0fda3ce22ebc22b1756e0f1d19"],"state_sha256":"a963871436db0e95d9159724deecb8cf1ef2c64a3c25540b9b902f5c50edd2df"}