{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DSW5WCUX5UUPMF3UFOEYVF5KDB","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":"d6e706ff722cc9660337eb7e63af3e947b2df89eaa6d38dc46922a42521b6ccc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T13:29:33Z","title_canon_sha256":"4d48666485b6d382f802f636814794d8be697abefb12e32956b733fcc521f613"},"schema_version":"1.0","source":{"id":"1606.00667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00667","created_at":"2026-05-18T01:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00667v1","created_at":"2026-05-18T01:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00667","created_at":"2026-05-18T01:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"DSW5WCUX5UUP","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DSW5WCUX5UUPMF3U","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DSW5WCUX","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:665f79c95e8f4a9be904018a2f05abd7c0a5ce380842014b5148fd7addc137c8","target":"graph","created_at":"2026-05-18T01:13:03Z","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":"A virtual link diagram is called normal if the associated abstract link diagram is checkerboard colorable, and a virtual link is normal if it has a normal diagram as a representative.In this paper, we introduce a method of converting a virtual link diagram to a normal virtual link diagram by use of the double covering technique. We show that the normal virtual link diagrams obtained from two equivalent virtual link diagrams are related by generalized Reidemeister moves and Kauffman flypes.","authors_text":"Naoko Kamada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T13:29:33Z","title":"Converting virtual link diagrams to normal ones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00667","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":"sha256:086dffc534124d7c3673069574bc232fc02e3cb015a66b578a691d062c2042e9","target":"record","created_at":"2026-05-18T01:13:03Z","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":"d6e706ff722cc9660337eb7e63af3e947b2df89eaa6d38dc46922a42521b6ccc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T13:29:33Z","title_canon_sha256":"4d48666485b6d382f802f636814794d8be697abefb12e32956b733fcc521f613"},"schema_version":"1.0","source":{"id":"1606.00667","kind":"arxiv","version":1}},"canonical_sha256":"1caddb0a97ed28f617742b898a97aa184740fc8f81ba707e782ab6d312813698","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1caddb0a97ed28f617742b898a97aa184740fc8f81ba707e782ab6d312813698","first_computed_at":"2026-05-18T01:13:03.949224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:03.949224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tIg9mcv+RzboR5XPV2mIHOTMgNwNAxvvU+/NgU3greHz8vOyBiZEB+xXy9kmMyPZKL92Kwr8kiUXsA46X2CqAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:03.949593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:086dffc534124d7c3673069574bc232fc02e3cb015a66b578a691d062c2042e9","sha256:665f79c95e8f4a9be904018a2f05abd7c0a5ce380842014b5148fd7addc137c8"],"state_sha256":"e14c3a3d2deadd7227283d4e3e8ac5cebcc0b2e8301cb14b32ad92b4779d56cf"}