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We prove the existence of radial solutions bifurcating from the radial solution $(\\log \\frac{64}{(2+\\mu) (8+|x|^2)^2}, \\log \\frac{64}{ (2+\\mu) (8+|x|^2)^2})$ at the values $\\mu=\\mu_n=2\\frac{2-n-n^2}{2+n+n^2},\\ n\\in\\N $."},"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":"1407.7217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-27T13:03:16Z","cross_cats_sorted":[],"title_canon_sha256":"630e99a97e8119c442d39ccdc1e1a8dd5aedf662d31ec9cac2cedda814d646ff","abstract_canon_sha256":"e28830354455965868bae715caef6f810b9a4fd67fbad0dbc59d408bd3c0298b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:23.600762Z","signature_b64":"8VYIdKWdYkbABdmhZYmMftARgNd0biWRV+1qLp/vE68/5KYhS+jczMjCPFJm9j4jRoctkZSEvUI66PeogYZYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"479417da819061b33da537b1c3e1194b4c869c472104e7dbf9d6080685634c1e","last_reissued_at":"2026-05-18T02:46:23.600357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:23.600357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a general SU(3) Toda System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francesca Gladiali, Jun-cheng Wei, Massimo Grossi","submitted_at":"2014-07-27T13:03:16Z","abstract_excerpt":"We study the following generalized $SU(3)$ Toda System $$ \\left\\{\\begin{array}{ll} -\\Delta u=2e^u+\\mu e^v & \\hbox{ in }\\R^2\\\\ -\\Delta v=2e^v+\\mu e^u & \\hbox{ in }\\R^2\\\\ \\int_{\\R^2}e^u<+\\infty,\\ \\int_{\\R^2}e^v<+\\infty \\end{array}\\right. $$ where $\\mu>-2$. We prove the existence of radial solutions bifurcating from the radial solution $(\\log \\frac{64}{(2+\\mu) (8+|x|^2)^2}, \\log \\frac{64}{ (2+\\mu) (8+|x|^2)^2})$ at the values $\\mu=\\mu_n=2\\frac{2-n-n^2}{2+n+n^2},\\ n\\in\\N $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7217","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.7217","created_at":"2026-05-18T02:46:23.600419+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.7217v1","created_at":"2026-05-18T02:46:23.600419+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7217","created_at":"2026-05-18T02:46:23.600419+00:00"},{"alias_kind":"pith_short_12","alias_value":"I6KBPWUBSBQ3","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"I6KBPWUBSBQ3GPNF","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"I6KBPWUB","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN","json":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN.json","graph_json":"https://pith.science/api/pith-number/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/graph.json","events_json":"https://pith.science/api/pith-number/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/events.json","paper":"https://pith.science/paper/I6KBPWUB"},"agent_actions":{"view_html":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN","download_json":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN.json","view_paper":"https://pith.science/paper/I6KBPWUB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.7217&json=true","fetch_graph":"https://pith.science/api/pith-number/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/graph.json","fetch_events":"https://pith.science/api/pith-number/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/action/storage_attestation","attest_author":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/action/author_attestation","sign_citation":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/action/citation_signature","submit_replication":"https://pith.science/pith/I6KBPWUBSBQ3GPNFG6Y4HYIZJN/action/replication_record"}},"created_at":"2026-05-18T02:46:23.600419+00:00","updated_at":"2026-05-18T02:46:23.600419+00:00"}