{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YUQ7DQ45XRQF3VNWN3T2AW7UIR","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":"2d1d5744df7ccb876555b5826b199552fe570ed61b12e09771db44a6cc0a3b4a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2023-08-15T14:03:32Z","title_canon_sha256":"5dcddbea65af94a2105099470db495f45de61f7634adfce8da9dcee80666f440"},"schema_version":"1.0","source":{"id":"2308.07782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.07782","created_at":"2026-07-05T06:41:31Z"},{"alias_kind":"arxiv_version","alias_value":"2308.07782v1","created_at":"2026-07-05T06:41:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.07782","created_at":"2026-07-05T06:41:31Z"},{"alias_kind":"pith_short_12","alias_value":"YUQ7DQ45XRQF","created_at":"2026-07-05T06:41:31Z"},{"alias_kind":"pith_short_16","alias_value":"YUQ7DQ45XRQF3VNW","created_at":"2026-07-05T06:41:31Z"},{"alias_kind":"pith_short_8","alias_value":"YUQ7DQ45","created_at":"2026-07-05T06:41:31Z"}],"graph_snapshots":[{"event_id":"sha256:7d2a781f12b67a3754bc0282755d62961cc786606ef77b270e98dbd7847160fb","target":"graph","created_at":"2026-07-05T06:41:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.07782/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the analysis, we also give a classification of all twist spins with finite knot quandles.","authors_text":"Kokoro Tanaka, Yuta Taniguchi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2023-08-15T14:03:32Z","title":"$2$-knots with the same knot group but different knot quandles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.07782","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:d41f9a0a92275c505faafd2423bb19f7689745b50b1ce6e04a680e86f92dbc03","target":"record","created_at":"2026-07-05T06:41:31Z","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":"2d1d5744df7ccb876555b5826b199552fe570ed61b12e09771db44a6cc0a3b4a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2023-08-15T14:03:32Z","title_canon_sha256":"5dcddbea65af94a2105099470db495f45de61f7634adfce8da9dcee80666f440"},"schema_version":"1.0","source":{"id":"2308.07782","kind":"arxiv","version":1}},"canonical_sha256":"c521f1c39dbc605dd5b66ee7a05bf44479769f384833a82bda1eb8b079c1863e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c521f1c39dbc605dd5b66ee7a05bf44479769f384833a82bda1eb8b079c1863e","first_computed_at":"2026-07-05T06:41:31.271591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:41:31.271591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SVpkytmiP5OT1I30hIihsa7cphPJEDRb/FrwnCVk7Zk/OvNLpnmliQzeXFdywQmzouPgkQIF2kIykooQ7cCkDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:41:31.272113Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.07782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d41f9a0a92275c505faafd2423bb19f7689745b50b1ce6e04a680e86f92dbc03","sha256:7d2a781f12b67a3754bc0282755d62961cc786606ef77b270e98dbd7847160fb"],"state_sha256":"aae48a7671acb2366117ee058bd09fa756d80c5f281ef0cacb7eb8ebad60388d"}