{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TAVPLH2VEI5O6AENMR4ZGTEPMA","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":"ce607fffe2e8dbc49018d359681522ccf3d499ed7b889b6bf87ac0a346dec25a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T11:11:58Z","title_canon_sha256":"e86f9fdbe8abbaa52ba217696788bdecd1edd9c3fab79085c7170cc4bb26a565"},"schema_version":"1.0","source":{"id":"1402.3784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3784","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3784v2","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3784","created_at":"2026-05-18T01:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"TAVPLH2VEI5O","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TAVPLH2VEI5O6AEN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TAVPLH2V","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:b7d01b8668ca50d783a81cc912b60626cb8cf4b1dbfcffef9caf1d5321b11a1b","target":"graph","created_at":"2026-05-18T01:17:11Z","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":"We consider the $SU(n+1)$ Toda system $$(S_\\lambda) \\quad \\left\\{ \\begin{aligned} & \\Delta u_1 + 2\\lambda e^{u_1} - \\lambda e^{u_2}- \\dots - \\lambda e^{u_k} = 0\\quad \\hbox{in}\\ \\Omega,\\\\ & \\Delta u_2 - \\lambda e^{u_1} + 2\\lambda e^{u_2} - \\dots - \\lambda e^{u_k}=0\\quad \\hbox{in}\\ \\Omega,\\\\ &\\vdots \\hskip3truecm \\ddots \\hskip2truecm \\vdots\\\\ & \\Delta u_k -\\lambda e^{u_1}-\\lambda e^{u_2}- \\dots+2\\lambda e^{u_k}=0\\quad \\hbox{in}\\ \\Omega, &u_1 = u_2 = \\dots = u_k =0 \\quad \\hbox{on}\\ \\partial\\Omega.\\\\ \\end{aligned}\\right. $$\n  If $0\\in\\Omega$ and $\\Omega$ is symmetric with respect to the origin, we","authors_text":"Angela Pistoia, Juncheng Wei, Monica Musso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T11:11:58Z","title":"New blow-up phenomena for SU(n+1) Toda system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3784","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:e8ef832c54a14372636eb3541eb0d35a0265427a8ffe57f962229b6c49f6de1a","target":"record","created_at":"2026-05-18T01:17:11Z","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":"ce607fffe2e8dbc49018d359681522ccf3d499ed7b889b6bf87ac0a346dec25a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T11:11:58Z","title_canon_sha256":"e86f9fdbe8abbaa52ba217696788bdecd1edd9c3fab79085c7170cc4bb26a565"},"schema_version":"1.0","source":{"id":"1402.3784","kind":"arxiv","version":2}},"canonical_sha256":"982af59f55223aef008d6479934c8f601582b46f098080df76d71859e434db96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"982af59f55223aef008d6479934c8f601582b46f098080df76d71859e434db96","first_computed_at":"2026-05-18T01:17:11.794345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:11.794345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c4y8gRwWvoeyCI2vfvDTLq1/L3D9QqeHcXYO+DBfZ3X1aRwMlk8Eat6UNVaNSETqHYQBWM/vtGvj4tDNIN88Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:11.795017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8ef832c54a14372636eb3541eb0d35a0265427a8ffe57f962229b6c49f6de1a","sha256:b7d01b8668ca50d783a81cc912b60626cb8cf4b1dbfcffef9caf1d5321b11a1b"],"state_sha256":"1c4e4a47619ff5cb075cbb135f86fa8b9554a7d69e4152ab2f9a40b2fd1b3c43"}