{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AYKM3ODEFMU6QZT6BB72BEESEL","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":"833f5e5231a5472ad434972d171edf2f34d67a06fa6119a6b2a13588e3f58063","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-06T13:00:02Z","title_canon_sha256":"a7241a75cd87d93831cda97946b911eb66038cc197d1f9965201a7df5244462c"},"schema_version":"1.0","source":{"id":"1610.01851","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01851","created_at":"2026-05-18T01:03:04Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01851v1","created_at":"2026-05-18T01:03:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01851","created_at":"2026-05-18T01:03:04Z"},{"alias_kind":"pith_short_12","alias_value":"AYKM3ODEFMU6","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AYKM3ODEFMU6QZT6","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AYKM3ODE","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:72e5b33181cc50417c6d42c9a9ac9d3ed596ae58f55d637fba18cffeffb8a05c","target":"graph","created_at":"2026-05-18T01:03:04Z","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":"Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a $\\phi$-Laplacian operator where our results can be applied.","authors_text":"Fabio Zanolin, Guglielmo Feltrin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-06T13:00:02Z","title":"An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01851","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:e7e9b765d7d5bb332cde86d121e72e125b7de3addae81f14477dae34af414277","target":"record","created_at":"2026-05-18T01:03:04Z","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":"833f5e5231a5472ad434972d171edf2f34d67a06fa6119a6b2a13588e3f58063","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-06T13:00:02Z","title_canon_sha256":"a7241a75cd87d93831cda97946b911eb66038cc197d1f9965201a7df5244462c"},"schema_version":"1.0","source":{"id":"1610.01851","kind":"arxiv","version":1}},"canonical_sha256":"0614cdb8642b29e8667e087fa0909222c373133e532ebda2644af1c683ca773e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0614cdb8642b29e8667e087fa0909222c373133e532ebda2644af1c683ca773e","first_computed_at":"2026-05-18T01:03:04.723222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:04.723222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ff3T7tFIbzGmS4V05TZAoyTrgh9EksIhCECvntzqGWJyhMxEVKn2w6QLONBgdxg0hokw65cefzlaylrPVSPXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:04.723878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01851","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7e9b765d7d5bb332cde86d121e72e125b7de3addae81f14477dae34af414277","sha256:72e5b33181cc50417c6d42c9a9ac9d3ed596ae58f55d637fba18cffeffb8a05c"],"state_sha256":"49cb7a5aba172a035998e088e0a629ec596d869ec594848b5b764af584d7da6c"}