{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U7X6A5DFXLKZNOHXG5E5NH5K54","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":"4c280e43d8a054a45f044e14f575b4ae483a31acfdb6c56f54564be4c6b2fd73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-19T06:42:45Z","title_canon_sha256":"b736ffa914b53eb190311debf81839cff7d9aab5dc5732aaa3baf8b4fadca7b9"},"schema_version":"1.0","source":{"id":"1610.05881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05881","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05881v1","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05881","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"U7X6A5DFXLKZ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7X6A5DFXLKZNOHX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7X6A5DF","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:86b013484f41bf9e99cd9bb3ab06aa4678ba30441ebb6eeae5e5f43e0b8a1eb4","target":"graph","created_at":"2026-05-18T01:01:50Z","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":"The principal aim of this article is to establish an iteration method on the space of resurgent functions. We discuss endless continuability of iterated convolution products of resurgent functions and derive their estimates developing the method in arXiv:1610.05453. Using the estimates, we show the resurgence of formal series solutions of nonlinear differential and difference equations.","authors_text":"Shingo Kamimoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-19T06:42:45Z","title":"Resurgent functions and nonlinear systems of differential and difference equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05881","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:ac0bcb64894264d86338c7cd5d3f6bc30c567451ace4daf14ecf374caad556a2","target":"record","created_at":"2026-05-18T01:01:50Z","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":"4c280e43d8a054a45f044e14f575b4ae483a31acfdb6c56f54564be4c6b2fd73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-10-19T06:42:45Z","title_canon_sha256":"b736ffa914b53eb190311debf81839cff7d9aab5dc5732aaa3baf8b4fadca7b9"},"schema_version":"1.0","source":{"id":"1610.05881","kind":"arxiv","version":1}},"canonical_sha256":"a7efe07465bad596b8f73749d69faaef06d5c8ad21945cf0ae4371124f94db94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7efe07465bad596b8f73749d69faaef06d5c8ad21945cf0ae4371124f94db94","first_computed_at":"2026-05-18T01:01:50.839951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:50.839951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+HlwDcJnqOejHLCA19+hi461swjWvabg31Yowq5Utips5cRyPEu3MqOr/jDROoKKePrGJfi0cWttnPbqgWnWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:50.840693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac0bcb64894264d86338c7cd5d3f6bc30c567451ace4daf14ecf374caad556a2","sha256:86b013484f41bf9e99cd9bb3ab06aa4678ba30441ebb6eeae5e5f43e0b8a1eb4"],"state_sha256":"0ff900bb56c30cdaf121ef36508617ae68e3fed03bd742b587c9ca1441b8d110"}