{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WPWJXNVOZZNUM6PEAID7NB2E7G","short_pith_number":"pith:WPWJXNVO","schema_version":"1.0","canonical_sha256":"b3ec9bb6aece5b4679e40207f68744f98642ee4e1413b92437efff08b73b158c","source":{"kind":"arxiv","id":"1506.02029","version":3},"attestation_state":"computed","paper":{"title":"Cluster automorphism groups and automorphism groups of exchange graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bin Zhu, Wen Chang","submitted_at":"2015-06-05T16:02:06Z","abstract_excerpt":"For a coefficient free cluster algebra $\\mathcal{A}$, we study the cluster automorphism group $Aut(\\mathcal{A})$ and the automorphism group $Aut(E_{\\mathcal{A}})$ of its exchange graph $E_{\\mathcal{A}}$. We show that these two groups are isomorphic with each other, if $\\mathcal{A}$ is of finite type excepting types of rank two and type $F_4$, or if $\\mathcal{A}$ is of skew-symmetric finite mutation type."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.02029","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-06-05T16:02:06Z","cross_cats_sorted":[],"title_canon_sha256":"1da497895d0eca91e82dc163fdc2bbda5a137d7939046093dc359000f0e4c0cb","abstract_canon_sha256":"aa2670a52f85a73e1b421055b5d2ad1611502f07fa989608451e94ad060e9d4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:33:56.444963Z","signature_b64":"vbNeqjj2ltlduDNkINYZfBzGpK2JgmMynFbQm5V7NrPzVtG8170dd+x8hG4re/eQA91/AoNpHlPeKvU+pMwJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3ec9bb6aece5b4679e40207f68744f98642ee4e1413b92437efff08b73b158c","last_reissued_at":"2026-07-05T01:33:56.444560Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:33:56.444560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cluster automorphism groups and automorphism groups of exchange graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bin Zhu, Wen Chang","submitted_at":"2015-06-05T16:02:06Z","abstract_excerpt":"For a coefficient free cluster algebra $\\mathcal{A}$, we study the cluster automorphism group $Aut(\\mathcal{A})$ and the automorphism group $Aut(E_{\\mathcal{A}})$ of its exchange graph $E_{\\mathcal{A}}$. We show that these two groups are isomorphic with each other, if $\\mathcal{A}$ is of finite type excepting types of rank two and type $F_4$, or if $\\mathcal{A}$ is of skew-symmetric finite mutation type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02029","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1506.02029/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.02029","created_at":"2026-07-05T01:33:56.444616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.02029v3","created_at":"2026-07-05T01:33:56.444616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02029","created_at":"2026-07-05T01:33:56.444616+00:00"},{"alias_kind":"pith_short_12","alias_value":"WPWJXNVOZZNU","created_at":"2026-07-05T01:33:56.444616+00:00"},{"alias_kind":"pith_short_16","alias_value":"WPWJXNVOZZNUM6PE","created_at":"2026-07-05T01:33:56.444616+00:00"},{"alias_kind":"pith_short_8","alias_value":"WPWJXNVO","created_at":"2026-07-05T01:33:56.444616+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.02907","citing_title":"A conjecture on cluster automorphisms of cluster algebras","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G","json":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G.json","graph_json":"https://pith.science/api/pith-number/WPWJXNVOZZNUM6PEAID7NB2E7G/graph.json","events_json":"https://pith.science/api/pith-number/WPWJXNVOZZNUM6PEAID7NB2E7G/events.json","paper":"https://pith.science/paper/WPWJXNVO"},"agent_actions":{"view_html":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G","download_json":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G.json","view_paper":"https://pith.science/paper/WPWJXNVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.02029&json=true","fetch_graph":"https://pith.science/api/pith-number/WPWJXNVOZZNUM6PEAID7NB2E7G/graph.json","fetch_events":"https://pith.science/api/pith-number/WPWJXNVOZZNUM6PEAID7NB2E7G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G/action/storage_attestation","attest_author":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G/action/author_attestation","sign_citation":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G/action/citation_signature","submit_replication":"https://pith.science/pith/WPWJXNVOZZNUM6PEAID7NB2E7G/action/replication_record"}},"created_at":"2026-07-05T01:33:56.444616+00:00","updated_at":"2026-07-05T01:33:56.444616+00:00"}