{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:SSAWQ5ZYVSMMUZ7BI6X2ORH5IX","short_pith_number":"pith:SSAWQ5ZY","schema_version":"1.0","canonical_sha256":"9481687738ac98ca67e147afa744fd45d43dde03d688b00dd2ccac93da9cc840","source":{"kind":"arxiv","id":"1311.7375","version":1},"attestation_state":"computed","paper":{"title":"On the Leray-Schauder degree of the Toda system on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Malchiodi, David Ruiz","submitted_at":"2013-11-28T17:12:32Z","abstract_excerpt":"In this paper we consider the so-called Toda system of equations on a compact surface. In particular, we discuss the parity of the Leray-Schauder degree of that problem. Our main tool is a theorem of Krasnoselskii and Zabreiko on the degree of maps symmetric with respect to a subspace. This result yields new existence results as well as a new proof of previous results in literature."},"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":"1311.7375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-28T17:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"2a435e404156c563578b6eade19da5620cdf360759a25125d8826f49d1c04bd7","abstract_canon_sha256":"ad314da30236d752d8e44c0e6f023d779c1a91ef00d54508177a696f8437e4b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:56.502667Z","signature_b64":"vZyzutLDrtooYYbLTGSY86M2Lnjceen3yQEHAN7m3YorLlnpFbxzvbsyyuSl/SHKgsxjZti+83V3wfg67Z6PDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9481687738ac98ca67e147afa744fd45d43dde03d688b00dd2ccac93da9cc840","last_reissued_at":"2026-05-18T03:05:56.501960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:56.501960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Leray-Schauder degree of the Toda system on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Malchiodi, David Ruiz","submitted_at":"2013-11-28T17:12:32Z","abstract_excerpt":"In this paper we consider the so-called Toda system of equations on a compact surface. In particular, we discuss the parity of the Leray-Schauder degree of that problem. Our main tool is a theorem of Krasnoselskii and Zabreiko on the degree of maps symmetric with respect to a subspace. This result yields new existence results as well as a new proof of previous results in literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7375","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":"1311.7375","created_at":"2026-05-18T03:05:56.502066+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.7375v1","created_at":"2026-05-18T03:05:56.502066+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7375","created_at":"2026-05-18T03:05:56.502066+00:00"},{"alias_kind":"pith_short_12","alias_value":"SSAWQ5ZYVSMM","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"SSAWQ5ZYVSMMUZ7B","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"SSAWQ5ZY","created_at":"2026-05-18T12:27:59.945178+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/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX","json":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX.json","graph_json":"https://pith.science/api/pith-number/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/graph.json","events_json":"https://pith.science/api/pith-number/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/events.json","paper":"https://pith.science/paper/SSAWQ5ZY"},"agent_actions":{"view_html":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX","download_json":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX.json","view_paper":"https://pith.science/paper/SSAWQ5ZY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.7375&json=true","fetch_graph":"https://pith.science/api/pith-number/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/graph.json","fetch_events":"https://pith.science/api/pith-number/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/action/storage_attestation","attest_author":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/action/author_attestation","sign_citation":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/action/citation_signature","submit_replication":"https://pith.science/pith/SSAWQ5ZYVSMMUZ7BI6X2ORH5IX/action/replication_record"}},"created_at":"2026-05-18T03:05:56.502066+00:00","updated_at":"2026-05-18T03:05:56.502066+00:00"}