{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QC4J2COMDNP34ZOUAW467AZODJ","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":"b4321c99bc26cd4a8f569856944784f0a1bbbbe50f2f04fbe11da02305797176","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-23T17:31:17Z","title_canon_sha256":"13948a50b959e2be2c1d0503dc8385e9eacee79ab1c75d7c2d94085f864ec1e9"},"schema_version":"1.0","source":{"id":"1406.5995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5995","created_at":"2026-05-18T02:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5995v1","created_at":"2026-05-18T02:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5995","created_at":"2026-05-18T02:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"QC4J2COMDNP3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QC4J2COMDNP34ZOU","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QC4J2COM","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:99daacd2be9d734715b5ffd5cffd6006ecd5db7997629f86becc444eed795c60","target":"graph","created_at":"2026-05-18T02:49:10Z","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":"In [S\\'eries Gevrey de type arithm\\'etique I Th\\'eor\\'emes de puret\\'e et de dualit\\'e, Annals of Math. 151 (2000), 705--740], Andr\\'e has introduced E-operators, a class of differential operators intimately related to E-functions, and constructed local bases of solutions for these operators. In this paper we investigate the arithmetical nature of connexion constants of E-operators at finite distance, and of Stokes constants at infinity. We prove that they involve values at algebraic points of E-functions in the former case, and in the latter one, values of G-functions and of derivatives of th","authors_text":"Stephane Fischler (LM-Orsay), Tanguy Rivoal (IF)","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-23T17:31:17Z","title":"Arithmetic theory of E-operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5995","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:c730485bf6f050da7f3eca7c8ad7da08f56dbaa65c70ffee993fe2d291d27acb","target":"record","created_at":"2026-05-18T02:49:10Z","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":"b4321c99bc26cd4a8f569856944784f0a1bbbbe50f2f04fbe11da02305797176","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-23T17:31:17Z","title_canon_sha256":"13948a50b959e2be2c1d0503dc8385e9eacee79ab1c75d7c2d94085f864ec1e9"},"schema_version":"1.0","source":{"id":"1406.5995","kind":"arxiv","version":1}},"canonical_sha256":"80b89d09cc1b5fbe65d405b9ef832e1a7ff9e7d9a42e3c4ca11128dbd6de06c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80b89d09cc1b5fbe65d405b9ef832e1a7ff9e7d9a42e3c4ca11128dbd6de06c7","first_computed_at":"2026-05-18T02:49:10.342365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:10.342365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nOeuxD65xbUuVZkY0yqjbr1bM12eff5uBM4lEiia3W/iXCxB16vL/7A2BsLqKxW62kDlg3TZWUckPgwOO2BMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:10.343086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c730485bf6f050da7f3eca7c8ad7da08f56dbaa65c70ffee993fe2d291d27acb","sha256:99daacd2be9d734715b5ffd5cffd6006ecd5db7997629f86becc444eed795c60"],"state_sha256":"df70c6bb9c820828b97e5e2fa16e577dc0cf78b8dad6c8e7064fca0ca5b2f36a"}