{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ICJJNAX53YW4ZSAVVJA3VLHVRE","short_pith_number":"pith:ICJJNAX5","canonical_record":{"source":{"id":"1505.05928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-05-22T00:55:12Z","cross_cats_sorted":[],"title_canon_sha256":"b1d1af28ab1b96d9ee5ab5d97f8e9e585dd43ba0e9e19cfdba12c360072cbf69","abstract_canon_sha256":"5f268350ec665ea2a4c84637a74d4d115ac989481e84e53667d05070fd7ae4e2"},"schema_version":"1.0"},"canonical_sha256":"40929682fdde2dccc815aa41baacf5890026863d6359cdaa1314ced62984fcf0","source":{"kind":"arxiv","id":"1505.05928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05928","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05928v1","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05928","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"ICJJNAX53YW4","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ICJJNAX53YW4ZSAV","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ICJJNAX5","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ICJJNAX53YW4ZSAVVJA3VLHVRE","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-05-22T00:55:12Z","cross_cats_sorted":[],"title_canon_sha256":"b1d1af28ab1b96d9ee5ab5d97f8e9e585dd43ba0e9e19cfdba12c360072cbf69","abstract_canon_sha256":"5f268350ec665ea2a4c84637a74d4d115ac989481e84e53667d05070fd7ae4e2"},"schema_version":"1.0"},"canonical_sha256":"40929682fdde2dccc815aa41baacf5890026863d6359cdaa1314ced62984fcf0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:49.647312Z","signature_b64":"phoC8T7kIrcNeGgmfcw2a66ZyIfyEgyLoqCRin3GAbG8tyqQxUVYOpToKpnrWoGxWY3IKFVH2GwASsEbf9mxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40929682fdde2dccc815aa41baacf5890026863d6359cdaa1314ced62984fcf0","last_reissued_at":"2026-05-18T02:03:49.646348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:49.646348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05928","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/vF9iCIY80tCaPWvZmhLSR+LUAFS4kK4ygzvM3z4G7nJ1t7Rao9ZLYMEvc8dyYzaL3BpcK0TkccaB0nby78EAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:00:21.212706Z"},"content_sha256":"e755241469799ebc905edb7544b86958ec22ca3e22d90cdb4bb9dbc52cd08155","schema_version":"1.0","event_id":"sha256:e755241469799ebc905edb7544b86958ec22ca3e22d90cdb4bb9dbc52cd08155"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ICJJNAX53YW4ZSAVVJA3VLHVRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the minimal affinizations over the quantum affine algebras of type $C_n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jian-Rong Li, Xin-Yang Feng, Yan-Feng Luo","submitted_at":"2015-05-22T00:55:12Z","abstract_excerpt":"In this paper, we study the minimal affinizations over the quantum affine algebras of type $C_n$ by using the theory of cluster algebras. We show that the $q$-characters of a large family of minimal affinizations of type $C_n$ satisfy some systems of equations. These equations correspond to mutation equations of some cluster algebras. Furthermore, we show that the minimal affinizations in these equations correspond to cluster variables in these cluster algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05928","kind":"arxiv","version":1},"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":"2026-05-18T02:03:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkPuuiDhk6FYwu+Bm6V578YB4riEe7daFfexIiMW0J+2BV9L33xRniPUXfp3wE/COiJTE7fXW/h11hPEEu5eCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:00:21.213287Z"},"content_sha256":"910471efedd86bde2d3432bdf248a98e831e83fed6d637d48b3f8adb74bf1752","schema_version":"1.0","event_id":"sha256:910471efedd86bde2d3432bdf248a98e831e83fed6d637d48b3f8adb74bf1752"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/bundle.json","state_url":"https://pith.science/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/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":"2026-06-01T01:00:21Z","links":{"resolver":"https://pith.science/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE","bundle":"https://pith.science/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/bundle.json","state":"https://pith.science/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ICJJNAX53YW4ZSAVVJA3VLHVRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ICJJNAX53YW4ZSAVVJA3VLHVRE","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":"5f268350ec665ea2a4c84637a74d4d115ac989481e84e53667d05070fd7ae4e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-05-22T00:55:12Z","title_canon_sha256":"b1d1af28ab1b96d9ee5ab5d97f8e9e585dd43ba0e9e19cfdba12c360072cbf69"},"schema_version":"1.0","source":{"id":"1505.05928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05928","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05928v1","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05928","created_at":"2026-05-18T02:03:49Z"},{"alias_kind":"pith_short_12","alias_value":"ICJJNAX53YW4","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ICJJNAX53YW4ZSAV","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ICJJNAX5","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:910471efedd86bde2d3432bdf248a98e831e83fed6d637d48b3f8adb74bf1752","target":"graph","created_at":"2026-05-18T02:03:49Z","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":"In this paper, we study the minimal affinizations over the quantum affine algebras of type $C_n$ by using the theory of cluster algebras. We show that the $q$-characters of a large family of minimal affinizations of type $C_n$ satisfy some systems of equations. These equations correspond to mutation equations of some cluster algebras. Furthermore, we show that the minimal affinizations in these equations correspond to cluster variables in these cluster algebras.","authors_text":"Jian-Rong Li, Xin-Yang Feng, Yan-Feng Luo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-05-22T00:55:12Z","title":"On the minimal affinizations over the quantum affine algebras of type $C_n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05928","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:e755241469799ebc905edb7544b86958ec22ca3e22d90cdb4bb9dbc52cd08155","target":"record","created_at":"2026-05-18T02:03:49Z","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":"5f268350ec665ea2a4c84637a74d4d115ac989481e84e53667d05070fd7ae4e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-05-22T00:55:12Z","title_canon_sha256":"b1d1af28ab1b96d9ee5ab5d97f8e9e585dd43ba0e9e19cfdba12c360072cbf69"},"schema_version":"1.0","source":{"id":"1505.05928","kind":"arxiv","version":1}},"canonical_sha256":"40929682fdde2dccc815aa41baacf5890026863d6359cdaa1314ced62984fcf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40929682fdde2dccc815aa41baacf5890026863d6359cdaa1314ced62984fcf0","first_computed_at":"2026-05-18T02:03:49.646348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:49.646348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"phoC8T7kIrcNeGgmfcw2a66ZyIfyEgyLoqCRin3GAbG8tyqQxUVYOpToKpnrWoGxWY3IKFVH2GwASsEbf9mxBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:49.647312Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e755241469799ebc905edb7544b86958ec22ca3e22d90cdb4bb9dbc52cd08155","sha256:910471efedd86bde2d3432bdf248a98e831e83fed6d637d48b3f8adb74bf1752"],"state_sha256":"5ebffcbe342ff19ff48f6d534b85430b2fd98114464c69af7297ec2cc922f204"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eDItQgRwP6RkNU5nps9waKwtVUzzkrmpjoBZUqCzvJnXMJ+7W/bU9CkSkVqmE9QRxti+UP/CjzomUpdMlfHmCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:00:21.216728Z","bundle_sha256":"3c625708769b97eef8b4e1737ae55a82ca0db7ebabbc9bde133578125738c9ab"}}