{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WBLVONR633IN6MG6LPI3PRQC7H","short_pith_number":"pith:WBLVONR6","canonical_record":{"source":{"id":"1305.6582","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-28T18:45:43Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"68645fe607788b5a14e956b0461fa5c0a72ceff4ae899040e6aab3ca789753e8","abstract_canon_sha256":"5ad4e7d7162bc8599475a24458047c987bf6d820f0832cbc00ebf518e62340b1"},"schema_version":"1.0"},"canonical_sha256":"b05757363eded0df30de5bd1b7c602f9ef824271dc0f72d650b50d243b8d2027","source":{"kind":"arxiv","id":"1305.6582","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6582","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6582v1","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6582","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"WBLVONR633IN","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WBLVONR633IN6MG6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WBLVONR6","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WBLVONR633IN6MG6LPI3PRQC7H","target":"record","payload":{"canonical_record":{"source":{"id":"1305.6582","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-28T18:45:43Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"68645fe607788b5a14e956b0461fa5c0a72ceff4ae899040e6aab3ca789753e8","abstract_canon_sha256":"5ad4e7d7162bc8599475a24458047c987bf6d820f0832cbc00ebf518e62340b1"},"schema_version":"1.0"},"canonical_sha256":"b05757363eded0df30de5bd1b7c602f9ef824271dc0f72d650b50d243b8d2027","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:32.268831Z","signature_b64":"7ibQvXOq2VcpQv40mM3ZzST4BBhCYrqFy1Zb7hwL/VLiDB+OCZLMP2y1rSmeh4wk7qBT3VA51ZEskxilgifCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b05757363eded0df30de5bd1b7c602f9ef824271dc0f72d650b50d243b8d2027","last_reissued_at":"2026-05-18T02:44:32.268428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:32.268428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.6582","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":"2026-05-18T02:44:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9w/1xGdAEaJrhqlDICO4O8jojd4y8OjvbYmmq1gY7rE+qxpnGy16rx0UFCskkVSaxoTKOEdg7u9ZokL9EF7wDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:24:30.743220Z"},"content_sha256":"c1a022b2fccd7101a23916c2c5b7784dd3c1f9432e7837e8bb101a68b0c0f3bb","schema_version":"1.0","event_id":"sha256:c1a022b2fccd7101a23916c2c5b7784dd3c1f9432e7837e8bb101a68b0c0f3bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WBLVONR633IN6MG6LPI3PRQC7H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of Uq(sl(m+1))-symmetries on quantum n-spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.QA","authors_text":"Fang Li, Steven Duplij, Yanyong Hong","submitted_at":"2013-05-28T18:45:43Z","abstract_excerpt":"In this paper, the module-algebra structures of $U_q(sl(m+1))$ on the quantum $n$-space $A_q(n)$ are studied. We characterize all module-algebra structures of $U_q(sl(m+1))$ on $A_q(2)$ and $A_q(3)$ when $m\\geq 2$. The module-algebra structures of $U_q(sl(m+1))$ on $A_q(n)$ are also considered for any $n\\geq 4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6582","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":"2026-05-18T02:44:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/qzOxdUNTy48Ee6rw610TX+qMAsldkbz38BMMHkyoizlnhzamWGLiNqRksK+NW3a3DurGULGo8QW3gpBLG1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:24:30.743682Z"},"content_sha256":"9a9ca506931951a676ac3e9ab5a427b0271f3242c0cd1fbfd731f7d79c3e2bd9","schema_version":"1.0","event_id":"sha256:9a9ca506931951a676ac3e9ab5a427b0271f3242c0cd1fbfd731f7d79c3e2bd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WBLVONR633IN6MG6LPI3PRQC7H/bundle.json","state_url":"https://pith.science/pith/WBLVONR633IN6MG6LPI3PRQC7H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WBLVONR633IN6MG6LPI3PRQC7H/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":"2026-05-26T07:24:30Z","links":{"resolver":"https://pith.science/pith/WBLVONR633IN6MG6LPI3PRQC7H","bundle":"https://pith.science/pith/WBLVONR633IN6MG6LPI3PRQC7H/bundle.json","state":"https://pith.science/pith/WBLVONR633IN6MG6LPI3PRQC7H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WBLVONR633IN6MG6LPI3PRQC7H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WBLVONR633IN6MG6LPI3PRQC7H","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":"5ad4e7d7162bc8599475a24458047c987bf6d820f0832cbc00ebf518e62340b1","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-28T18:45:43Z","title_canon_sha256":"68645fe607788b5a14e956b0461fa5c0a72ceff4ae899040e6aab3ca789753e8"},"schema_version":"1.0","source":{"id":"1305.6582","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6582","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6582v1","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6582","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"WBLVONR633IN","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WBLVONR633IN6MG6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WBLVONR6","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:9a9ca506931951a676ac3e9ab5a427b0271f3242c0cd1fbfd731f7d79c3e2bd9","target":"graph","created_at":"2026-05-18T02:44:32Z","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, the module-algebra structures of $U_q(sl(m+1))$ on the quantum $n$-space $A_q(n)$ are studied. We characterize all module-algebra structures of $U_q(sl(m+1))$ on $A_q(2)$ and $A_q(3)$ when $m\\geq 2$. The module-algebra structures of $U_q(sl(m+1))$ on $A_q(n)$ are also considered for any $n\\geq 4$.","authors_text":"Fang Li, Steven Duplij, Yanyong Hong","cross_cats":["math-ph","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-28T18:45:43Z","title":"Analysis of Uq(sl(m+1))-symmetries on quantum n-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6582","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:c1a022b2fccd7101a23916c2c5b7784dd3c1f9432e7837e8bb101a68b0c0f3bb","target":"record","created_at":"2026-05-18T02:44:32Z","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":"5ad4e7d7162bc8599475a24458047c987bf6d820f0832cbc00ebf518e62340b1","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-28T18:45:43Z","title_canon_sha256":"68645fe607788b5a14e956b0461fa5c0a72ceff4ae899040e6aab3ca789753e8"},"schema_version":"1.0","source":{"id":"1305.6582","kind":"arxiv","version":1}},"canonical_sha256":"b05757363eded0df30de5bd1b7c602f9ef824271dc0f72d650b50d243b8d2027","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b05757363eded0df30de5bd1b7c602f9ef824271dc0f72d650b50d243b8d2027","first_computed_at":"2026-05-18T02:44:32.268428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:32.268428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ibQvXOq2VcpQv40mM3ZzST4BBhCYrqFy1Zb7hwL/VLiDB+OCZLMP2y1rSmeh4wk7qBT3VA51ZEskxilgifCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:32.268831Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.6582","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1a022b2fccd7101a23916c2c5b7784dd3c1f9432e7837e8bb101a68b0c0f3bb","sha256:9a9ca506931951a676ac3e9ab5a427b0271f3242c0cd1fbfd731f7d79c3e2bd9"],"state_sha256":"2d1de43c70bf07144fcb306b07678dcc144209df0d40e5bc3dab6b36e590e327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6bRnskccga4o9jiSJK9J3tJaGVvcsrbiaQT27+k+i2bTvGBA+IF3taz+M29wy9q1ow1/BwUFrj5te/Gq39RYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:24:30.746465Z","bundle_sha256":"49d0bcbb2a4ddbed6569671af45205bd51e8d940eac199c11c54096cdc5ec073"}}