{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RNXEOFFDKTNBRR5YC5MTYUYLSX","short_pith_number":"pith:RNXEOFFD","canonical_record":{"source":{"id":"1403.5740","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-23T10:37:10Z","cross_cats_sorted":[],"title_canon_sha256":"156e080c70024a4211d7baae19aec2efdbb009e1d34d7599b578e57a639a8e90","abstract_canon_sha256":"0ead6e8d35fa701cc6a646478e70b4752749f21041d8a23a3528192fc0b58a63"},"schema_version":"1.0"},"canonical_sha256":"8b6e4714a354da18c7b817593c530b95f750808771a4d886d44c1bd7bd9f98cd","source":{"kind":"arxiv","id":"1403.5740","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RNXEOFFDKTNBRR5YC5MTYUYLSX","target":"record","payload":{"canonical_record":{"source":{"id":"1403.5740","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-23T10:37:10Z","cross_cats_sorted":[],"title_canon_sha256":"156e080c70024a4211d7baae19aec2efdbb009e1d34d7599b578e57a639a8e90","abstract_canon_sha256":"0ead6e8d35fa701cc6a646478e70b4752749f21041d8a23a3528192fc0b58a63"},"schema_version":"1.0"},"canonical_sha256":"8b6e4714a354da18c7b817593c530b95f750808771a4d886d44c1bd7bd9f98cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:53.845892Z","signature_b64":"33RhJgoMfZ30vEa1peuxnOpanqb4RQF8umSbaq4wsIgssLdcwrEzRlqKmik6/Fv5k9VlRE4pPqYIwW/pDFS7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b6e4714a354da18c7b817593c530b95f750808771a4d886d44c1bd7bd9f98cd","last_reissued_at":"2026-05-18T00:01:53.845473Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:53.845473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.5740","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/FRXcu/+h2ZlJdF/SaiHzqRgKzUb1GJ2V0bTHECRrmIbG6FDUNpUQSIczAk/iH2RNM55+zr3dzfNu404d63Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:37:47.423789Z"},"content_sha256":"50fb4313ed39efbc585ee82647189cd2391ec477fa05ff398189362b6d972e74","schema_version":"1.0","event_id":"sha256:50fb4313ed39efbc585ee82647189cd2391ec477fa05ff398189362b6d972e74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RNXEOFFDKTNBRR5YC5MTYUYLSX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On groups of $I$-type and involutive Yang-Baxter groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Nir Ben David, Yuval Ginosar","submitted_at":"2014-03-23T10:37:10Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5740","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XOWv70G1cpbFeFxX6vXMGNCH8Zk25XbtwVc0EKRnxeM2G2WZ89VZvC1bvCdKMUtELYxpxHqMLZBj2dhPo7dkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:37:47.424494Z"},"content_sha256":"58b3de6ed42c17eb089a86cbf584d1b1699b3ef476ca09ba6cc3fb49d225fa97","schema_version":"1.0","event_id":"sha256:58b3de6ed42c17eb089a86cbf584d1b1699b3ef476ca09ba6cc3fb49d225fa97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/bundle.json","state_url":"https://pith.science/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T15:37:47Z","links":{"resolver":"https://pith.science/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX","bundle":"https://pith.science/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/bundle.json","state":"https://pith.science/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RNXEOFFDKTNBRR5YC5MTYUYLSX/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ovz4uH4cw8U4aghSk3Qo7gL8EDHMfEDTgnkRUpLg3uTGGFvSNm0827/+x/Uv/nL1Gkf/aL41X0w7Kj4zOe73AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T15:37:47.428498Z","bundle_sha256":"08323fcba8e42f883752667cebc1af030c810fba1b24e210e55bd4a54d635633"}}