{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:RVKW3P6KGR42UKTI6F724LVZML","short_pith_number":"pith:RVKW3P6K","canonical_record":{"source":{"id":"math/0612738","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2006-12-23T08:01:38Z","cross_cats_sorted":[],"title_canon_sha256":"f721916bc55375930c7ae894231821b2886aa26cffb58484e22d45f28545ab6b","abstract_canon_sha256":"d1dd6e148a11a17469854fd3e62901a727c993a4f2f66d153398ed6f3439da11"},"schema_version":"1.0"},"canonical_sha256":"8d556dbfca3479aa2a68f17fae2eb962ca7299e1e6be38e063e125a098b3f59e","source":{"kind":"arxiv","id":"math/0612738","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0612738","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"math/0612738v2","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0612738","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"RVKW3P6KGR42","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RVKW3P6KGR42UKTI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RVKW3P6K","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:RVKW3P6KGR42UKTI6F724LVZML","target":"record","payload":{"canonical_record":{"source":{"id":"math/0612738","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2006-12-23T08:01:38Z","cross_cats_sorted":[],"title_canon_sha256":"f721916bc55375930c7ae894231821b2886aa26cffb58484e22d45f28545ab6b","abstract_canon_sha256":"d1dd6e148a11a17469854fd3e62901a727c993a4f2f66d153398ed6f3439da11"},"schema_version":"1.0"},"canonical_sha256":"8d556dbfca3479aa2a68f17fae2eb962ca7299e1e6be38e063e125a098b3f59e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:23.414419Z","signature_b64":"AJv8v8J1MlRkIfse4f4LTq9LCmfbfhcJvS1QbJogy4JIuzg1ulqn8AQu229lJwMbFxdSXppOP/+lu67TltFuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d556dbfca3479aa2a68f17fae2eb962ca7299e1e6be38e063e125a098b3f59e","last_reissued_at":"2026-05-18T01:38:23.413731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:23.413731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0612738","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":"2026-05-18T01:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LrZWR2ze11KqM13clU9xV4fADC/GneAfom7lSoWCGISA0hzBA9Yjl/3ZF7llQqXkuN6XgpYDweplubu39paeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T17:09:56.328173Z"},"content_sha256":"a106b4600f3e0c9b48525fd106b3cdcffc1e32f6ea19e599eb2c233511ed697f","schema_version":"1.0","event_id":"sha256:a106b4600f3e0c9b48525fd106b3cdcffc1e32f6ea19e599eb2c233511ed697f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:RVKW3P6KGR42UKTI6F724LVZML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irreducibility of fusion modules over twisted Yangians at generic point","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Andrey Mudrov","submitted_at":"2006-12-23T08:01:38Z","abstract_excerpt":"With any skew Young diagram one can associate a one parameter family of \"elementary\" modules over the Yangian $\\Yg(\\g\\l_N)$. Consider the twisted Yangian $\\Yg(\\g_N)\\subset \\Yg(\\g\\l_N)$ associated with a classical matrix Lie algebra $\\g_N\\subset\\g\\l_N$. Regard the tensor product of elementary Yangian modules as a module over $\\Yg(\\g_N)$ by restriction. We prove its irreducibility for generic values of the parameters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0612738","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":"2026-05-18T01:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e3sZip1pBKg4hmWZpZzmBo1oDsJeuZ4gB3CPML0lK3u75aebJ+hJzoctN7pPX9GSnm81WbQsW4Xa0ISJmYuICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T17:09:56.328714Z"},"content_sha256":"8c65480e65a8fa56e9b1ac6ab98971f5f8136a06386deeec2b84ad16dc18f808","schema_version":"1.0","event_id":"sha256:8c65480e65a8fa56e9b1ac6ab98971f5f8136a06386deeec2b84ad16dc18f808"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVKW3P6KGR42UKTI6F724LVZML/bundle.json","state_url":"https://pith.science/pith/RVKW3P6KGR42UKTI6F724LVZML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVKW3P6KGR42UKTI6F724LVZML/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":"2026-07-04T17:09:56Z","links":{"resolver":"https://pith.science/pith/RVKW3P6KGR42UKTI6F724LVZML","bundle":"https://pith.science/pith/RVKW3P6KGR42UKTI6F724LVZML/bundle.json","state":"https://pith.science/pith/RVKW3P6KGR42UKTI6F724LVZML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVKW3P6KGR42UKTI6F724LVZML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:RVKW3P6KGR42UKTI6F724LVZML","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":"d1dd6e148a11a17469854fd3e62901a727c993a4f2f66d153398ed6f3439da11","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2006-12-23T08:01:38Z","title_canon_sha256":"f721916bc55375930c7ae894231821b2886aa26cffb58484e22d45f28545ab6b"},"schema_version":"1.0","source":{"id":"math/0612738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0612738","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"math/0612738v2","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0612738","created_at":"2026-05-18T01:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"RVKW3P6KGR42","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RVKW3P6KGR42UKTI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RVKW3P6K","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:8c65480e65a8fa56e9b1ac6ab98971f5f8136a06386deeec2b84ad16dc18f808","target":"graph","created_at":"2026-05-18T01:38:23Z","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":"With any skew Young diagram one can associate a one parameter family of \"elementary\" modules over the Yangian $\\Yg(\\g\\l_N)$. Consider the twisted Yangian $\\Yg(\\g_N)\\subset \\Yg(\\g\\l_N)$ associated with a classical matrix Lie algebra $\\g_N\\subset\\g\\l_N$. Regard the tensor product of elementary Yangian modules as a module over $\\Yg(\\g_N)$ by restriction. We prove its irreducibility for generic values of the parameters.","authors_text":"Andrey Mudrov","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2006-12-23T08:01:38Z","title":"Irreducibility of fusion modules over twisted Yangians at generic point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0612738","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:a106b4600f3e0c9b48525fd106b3cdcffc1e32f6ea19e599eb2c233511ed697f","target":"record","created_at":"2026-05-18T01:38:23Z","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":"d1dd6e148a11a17469854fd3e62901a727c993a4f2f66d153398ed6f3439da11","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2006-12-23T08:01:38Z","title_canon_sha256":"f721916bc55375930c7ae894231821b2886aa26cffb58484e22d45f28545ab6b"},"schema_version":"1.0","source":{"id":"math/0612738","kind":"arxiv","version":2}},"canonical_sha256":"8d556dbfca3479aa2a68f17fae2eb962ca7299e1e6be38e063e125a098b3f59e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d556dbfca3479aa2a68f17fae2eb962ca7299e1e6be38e063e125a098b3f59e","first_computed_at":"2026-05-18T01:38:23.413731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:23.413731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJv8v8J1MlRkIfse4f4LTq9LCmfbfhcJvS1QbJogy4JIuzg1ulqn8AQu229lJwMbFxdSXppOP/+lu67TltFuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:23.414419Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0612738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a106b4600f3e0c9b48525fd106b3cdcffc1e32f6ea19e599eb2c233511ed697f","sha256:8c65480e65a8fa56e9b1ac6ab98971f5f8136a06386deeec2b84ad16dc18f808"],"state_sha256":"6424f7805a1d53c92dc17426cadf109236667cb8d0dc175eef1d2a95238ea378"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0BL1x3C0T+BeA1mzCCPVXDr61BdAo/mKgiz3Yd3YujZULWllRwTSQdl8F5rDFMbDM0x2o/+ojXBHUF5Jha44Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T17:09:56.330822Z","bundle_sha256":"7ca1f8b988382d29712a5f4ea00eeb108513f7739acc7be3e5064be51ef1054a"}}