{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LTXV4UKWIU52JIQFW3U47VJZLJ","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":"e30c1cec16ee23b3fdc5180c31594c2a4dc01a55930a03ffacb39aa113c448b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-06-24T07:02:18Z","title_canon_sha256":"0440d3498de427a8c48d6d0ab7a0f2e6ae9d0f030953e223ca87ad70d46cb071"},"schema_version":"1.0","source":{"id":"1906.09747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09747","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09747v1","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09747","created_at":"2026-05-17T23:42:36Z"},{"alias_kind":"pith_short_12","alias_value":"LTXV4UKWIU52","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LTXV4UKWIU52JIQF","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LTXV4UKW","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:91506592d9c6865a6c4f84a24310c95525877c846c1790300a271446b55309dc","target":"graph","created_at":"2026-05-17T23:42:36Z","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":"This paper is a continuation of our previous work \\cite{St} where we have studied the Stokes phenomenon for a particular family of equation\n  \\eqref{initial} with \\eqref{form-0}-\\eqref{npe} from a perturbative point of view. Here we focus on the explicit computation of the Stokes matrices at the non-resonant irregular singularity for a more general situation. In particular, utilizing Borel-Laplace summation, the iterated integrals approach and some properties of the hypergeometric series we compute by hand the Stokes matrices of three families of equation \\eqref{initial}-\\eqref{form-0}-\\eqref{","authors_text":"Tsvetana Stoyanova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-06-24T07:02:18Z","title":"Stokes matrices for a class of reducible equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09747","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":"sha256:5a9d2845c2891a0eadc10e72aa407be249e6e87240595cf425570f9ff3356bb5","target":"record","created_at":"2026-05-17T23:42:36Z","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":"e30c1cec16ee23b3fdc5180c31594c2a4dc01a55930a03ffacb39aa113c448b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-06-24T07:02:18Z","title_canon_sha256":"0440d3498de427a8c48d6d0ab7a0f2e6ae9d0f030953e223ca87ad70d46cb071"},"schema_version":"1.0","source":{"id":"1906.09747","kind":"arxiv","version":1}},"canonical_sha256":"5cef5e5156453ba4a205b6e9cfd5395a44dc97ecef76e24d29fb0a772f2eb9e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cef5e5156453ba4a205b6e9cfd5395a44dc97ecef76e24d29fb0a772f2eb9e6","first_computed_at":"2026-05-17T23:42:36.870350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:36.870350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XLxRMyVaD8fbv/Eg/sLFl458pDhCAL+WDLO9QbW1vfLkTsfXmFU7OtXgExOXePjT/sVwp4qRiCS01Y6A5TojCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:36.871168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a9d2845c2891a0eadc10e72aa407be249e6e87240595cf425570f9ff3356bb5","sha256:91506592d9c6865a6c4f84a24310c95525877c846c1790300a271446b55309dc"],"state_sha256":"5a732e5f2fa321598aca843fa4c32f26f7bfde1429aeeb9f9187d7cb96944564"}