{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RNXEOFFDKTNBRR5YC5MTYUYLSX","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":"0ead6e8d35fa701cc6a646478e70b4752749f21041d8a23a3528192fc0b58a63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-23T10:37:10Z","title_canon_sha256":"156e080c70024a4211d7baae19aec2efdbb009e1d34d7599b578e57a639a8e90"},"schema_version":"1.0","source":{"id":"1403.5740","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5740","created_at":"2026-05-18T00:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5740v3","created_at":"2026-05-18T00:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5740","created_at":"2026-05-18T00:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"RNXEOFFDKTNB","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RNXEOFFDKTNBRR5Y","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RNXEOFFD","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:58b3de6ed42c17eb089a86cbf584d1b1699b3ef476ca09ba6cc3fb49d225fa97","target":"graph","created_at":"2026-05-18T00:01:53Z","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 suggest a cohomological framework to describe groups of $I$-type and involutive Yang-Baxter groups. These groups are key in the study of involutive non-degenerate set-theoretic solutions of the quantum Yang-Baxter equation. Our main tool is a lifting criterion for 1-cocycles, established here in a general non-abelian setting.","authors_text":"Nir Ben David, Yuval Ginosar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-23T10:37:10Z","title":"On groups of $I$-type and involutive Yang-Baxter groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5740","kind":"arxiv","version":3},"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":"sha256:50fb4313ed39efbc585ee82647189cd2391ec477fa05ff398189362b6d972e74","target":"record","created_at":"2026-05-18T00:01:53Z","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":"0ead6e8d35fa701cc6a646478e70b4752749f21041d8a23a3528192fc0b58a63","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-23T10:37:10Z","title_canon_sha256":"156e080c70024a4211d7baae19aec2efdbb009e1d34d7599b578e57a639a8e90"},"schema_version":"1.0","source":{"id":"1403.5740","kind":"arxiv","version":3}},"canonical_sha256":"8b6e4714a354da18c7b817593c530b95f750808771a4d886d44c1bd7bd9f98cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b6e4714a354da18c7b817593c530b95f750808771a4d886d44c1bd7bd9f98cd","first_computed_at":"2026-05-18T00:01:53.845473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:53.845473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"33RhJgoMfZ30vEa1peuxnOpanqb4RQF8umSbaq4wsIgssLdcwrEzRlqKmik6/Fv5k9VlRE4pPqYIwW/pDFS7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:53.845892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5740","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50fb4313ed39efbc585ee82647189cd2391ec477fa05ff398189362b6d972e74","sha256:58b3de6ed42c17eb089a86cbf584d1b1699b3ef476ca09ba6cc3fb49d225fa97"],"state_sha256":"3ab710bf3d6d9db804fe164f7760725e265bcfcb0303cb1aa0512780fa5d2367"}