{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VTHO2IIGVMWNAEC77GL3GXU5DM","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":"270e8e8e0976d838bf602ea8e4eea4b1135646854f9579d23346b6abb038dade","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-13T04:02:37Z","title_canon_sha256":"a010632758444fc10eee0b97964bdfce40607bf53e766f1b5ecf8744cff541fb"},"schema_version":"1.0","source":{"id":"1806.04840","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04840","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04840v2","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04840","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"VTHO2IIGVMWN","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VTHO2IIGVMWNAEC7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VTHO2IIG","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:8ed0f39f039ee6641cfe6c586804c60afee12aacd503c0537f31d3fe0ea51da4","target":"graph","created_at":"2026-05-17T23:48:34Z","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 the present paper, we build a bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. One can compute a Kauffman bracket polynomials attached to rational links by using Conway-Coxeter friezes. As an application one can give a complete invariant on Conway-Coxeter friezes of zigzag-type.","authors_text":"Michihisa Wakui, Takeyoshi Kogiso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-13T04:02:37Z","title":"A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04840","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":"sha256:9618642e743cbb705f11f66c8be197dfcf4855410a2448f9bb7207c22d0b82c5","target":"record","created_at":"2026-05-17T23:48:34Z","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":"270e8e8e0976d838bf602ea8e4eea4b1135646854f9579d23346b6abb038dade","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-13T04:02:37Z","title_canon_sha256":"a010632758444fc10eee0b97964bdfce40607bf53e766f1b5ecf8744cff541fb"},"schema_version":"1.0","source":{"id":"1806.04840","kind":"arxiv","version":2}},"canonical_sha256":"acceed2106ab2cd0105ff997b35e9d1b2cf65571d399916dc8281d3f58691b93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acceed2106ab2cd0105ff997b35e9d1b2cf65571d399916dc8281d3f58691b93","first_computed_at":"2026-05-17T23:48:34.110500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:34.110500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ZLViaeBeE+Xw41qomFOJo3FeKy5V1gKG69b0dHyYIB7ZbrOCuospC/K+dNR0EUqrWbX8QkZ2IJNSKFRg8OHAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:34.111109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04840","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9618642e743cbb705f11f66c8be197dfcf4855410a2448f9bb7207c22d0b82c5","sha256:8ed0f39f039ee6641cfe6c586804c60afee12aacd503c0537f31d3fe0ea51da4"],"state_sha256":"56e7f25d38eb74c59b0cdd1a55cca2fb224d94ec169750564291df3b4630ec00"}