{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HUE526W2CL5WIYWQUWOVGQ3MM5","short_pith_number":"pith:HUE526W2","canonical_record":{"source":{"id":"1203.6528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-29T14:18:03Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6cb7b55fc4377cc0bc65340488f56d2c95febbfda6271d4e8faa37465a940d4c","abstract_canon_sha256":"6522e682b4bc73ee0bed7828283d4d1db6c52c55d42df68c073d7e2e56f92a01"},"schema_version":"1.0"},"canonical_sha256":"3d09dd7ada12fb6462d0a59d53436c67582e6c24fa932fcc6bc438f225f1f088","source":{"kind":"arxiv","id":"1203.6528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6528","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6528v2","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6528","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"HUE526W2CL5W","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HUE526W2CL5WIYWQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HUE526W2","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HUE526W2CL5WIYWQUWOVGQ3MM5","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-29T14:18:03Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6cb7b55fc4377cc0bc65340488f56d2c95febbfda6271d4e8faa37465a940d4c","abstract_canon_sha256":"6522e682b4bc73ee0bed7828283d4d1db6c52c55d42df68c073d7e2e56f92a01"},"schema_version":"1.0"},"canonical_sha256":"3d09dd7ada12fb6462d0a59d53436c67582e6c24fa932fcc6bc438f225f1f088","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:00.472748Z","signature_b64":"mLAh4icnuAKHHk/J+iJWUmcafZZeSJ2yoxayV92kYaoVotdnAXgaqa84nuINbMI/7ELg8w+cP8IfUEnek3OyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d09dd7ada12fb6462d0a59d53436c67582e6c24fa932fcc6bc438f225f1f088","last_reissued_at":"2026-05-18T01:58:00.472214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:00.472214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6528","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xS+6uEvEgOKvZhUXePv/HEvhPbJk7bLIy+OPnS1SNfq7hCZMF+eeuz6Xac9XyzD7Yr0oLe9KNMxR4ksmtCKjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:43:00.236134Z"},"content_sha256":"6f86355df58fcf04da2c246702935b949b3aff9242e93e990bb90a8bea9edac2","schema_version":"1.0","event_id":"sha256:6f86355df58fcf04da2c246702935b949b3aff9242e93e990bb90a8bea9edac2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HUE526W2CL5WIYWQUWOVGQ3MM5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New solutions to the $s\\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"D. Karakhanyan, Sh. Khachatryan","submitted_at":"2012-03-29T14:18:03Z","abstract_excerpt":"We find the all solutions to the $sl_q(2)$-invariant multi-parametric Yang-Baxter equations (YBE) at $q=i$ defined on the cyclic (semi-cyclic, nilpotent) representations of the algebra. We are deriving the solutions in form of the linear combinations over the $sl_q(2)$-invariant objects - projectors. The direct construction of the projector operators at roots of unity gives us an opportunity to consider all the possible cases, including also degenerated one, when the number of the projectors becomes larger, and various type of solutions are arising, and as well as the inhomogeneous case. We ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6528","kind":"arxiv","version":2},"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":"2026-05-18T01:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"plHr0+cbQtkQCmKOLZb8G6S9nAj9ydkqdr7ieEMurm8fl8jgrKvY5i3E3OaXjCsHYpr5ba+Ns0JAy4TgPagPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:43:00.236787Z"},"content_sha256":"e2bce779be64b222a66575f867d7a1854feffe80c140af67027127ea5d328c21","schema_version":"1.0","event_id":"sha256:e2bce779be64b222a66575f867d7a1854feffe80c140af67027127ea5d328c21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/bundle.json","state_url":"https://pith.science/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/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":"2026-05-26T23:43:00Z","links":{"resolver":"https://pith.science/pith/HUE526W2CL5WIYWQUWOVGQ3MM5","bundle":"https://pith.science/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/bundle.json","state":"https://pith.science/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUE526W2CL5WIYWQUWOVGQ3MM5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HUE526W2CL5WIYWQUWOVGQ3MM5","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":"6522e682b4bc73ee0bed7828283d4d1db6c52c55d42df68c073d7e2e56f92a01","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-29T14:18:03Z","title_canon_sha256":"6cb7b55fc4377cc0bc65340488f56d2c95febbfda6271d4e8faa37465a940d4c"},"schema_version":"1.0","source":{"id":"1203.6528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6528","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6528v2","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6528","created_at":"2026-05-18T01:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"HUE526W2CL5W","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HUE526W2CL5WIYWQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HUE526W2","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:e2bce779be64b222a66575f867d7a1854feffe80c140af67027127ea5d328c21","target":"graph","created_at":"2026-05-18T01:58:00Z","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 find the all solutions to the $sl_q(2)$-invariant multi-parametric Yang-Baxter equations (YBE) at $q=i$ defined on the cyclic (semi-cyclic, nilpotent) representations of the algebra. We are deriving the solutions in form of the linear combinations over the $sl_q(2)$-invariant objects - projectors. The direct construction of the projector operators at roots of unity gives us an opportunity to consider all the possible cases, including also degenerated one, when the number of the projectors becomes larger, and various type of solutions are arising, and as well as the inhomogeneous case. We ar","authors_text":"D. Karakhanyan, Sh. Khachatryan","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-29T14:18:03Z","title":"New solutions to the $s\\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6528","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":"sha256:6f86355df58fcf04da2c246702935b949b3aff9242e93e990bb90a8bea9edac2","target":"record","created_at":"2026-05-18T01:58:00Z","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":"6522e682b4bc73ee0bed7828283d4d1db6c52c55d42df68c073d7e2e56f92a01","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-29T14:18:03Z","title_canon_sha256":"6cb7b55fc4377cc0bc65340488f56d2c95febbfda6271d4e8faa37465a940d4c"},"schema_version":"1.0","source":{"id":"1203.6528","kind":"arxiv","version":2}},"canonical_sha256":"3d09dd7ada12fb6462d0a59d53436c67582e6c24fa932fcc6bc438f225f1f088","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d09dd7ada12fb6462d0a59d53436c67582e6c24fa932fcc6bc438f225f1f088","first_computed_at":"2026-05-18T01:58:00.472214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:00.472214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mLAh4icnuAKHHk/J+iJWUmcafZZeSJ2yoxayV92kYaoVotdnAXgaqa84nuINbMI/7ELg8w+cP8IfUEnek3OyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:00.472748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f86355df58fcf04da2c246702935b949b3aff9242e93e990bb90a8bea9edac2","sha256:e2bce779be64b222a66575f867d7a1854feffe80c140af67027127ea5d328c21"],"state_sha256":"5d271f29fc9d50005135e1f1f90ad707d90d545d3965bfc354804ab16c6362cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qm1Ntb3oE8/hxh3EbUzfFdHQ86cKDIbMxPkiKrjnZIjLAf1yR+1cdCZvwc4TjGJRuz7duJ7f1M9eA2DgmDevAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:43:00.240503Z","bundle_sha256":"a45cf339fd3a38af5f7c100917e0fc72ab7173b968294d0627b016481e783e28"}}