{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M7NCVZONRBQG3LHU5D6WTDLHBK","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":"fd71ac06021a9f0f21be1f671ee76ec4d04066ae685af997f74011eb7dd20a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-02-13T13:14:49Z","title_canon_sha256":"e7875449116eda7281d4f1c392373038c72ba73bd23ff02a6f0e4e53b86b4a18"},"schema_version":"1.0","source":{"id":"1802.04605","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04605","created_at":"2026-05-18T00:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04605v2","created_at":"2026-05-18T00:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04605","created_at":"2026-05-18T00:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"M7NCVZONRBQG","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M7NCVZONRBQG3LHU","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M7NCVZON","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:97a099789101266f41fb49acee3457a497d7d181d29a282d56fa50d83b87013b","target":"graph","created_at":"2026-05-18T00:23:11Z","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":"We give in this note a simple treatment of the non-explosion problem for rough differential equations driven by unbounded vector fields and weak geometric rough paths of arbitrary roughness.","authors_text":"I. Bailleul, R. Catellier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-02-13T13:14:49Z","title":"Non-explosion criteria for rough differential equations driven by unbounded vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04605","kind":"arxiv","version":2},"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":"sha256:061211adcc2c64e3e0457b5b2eb44c371aa519614b2a2d01104f6e483ff5eec0","target":"record","created_at":"2026-05-18T00:23:11Z","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":"fd71ac06021a9f0f21be1f671ee76ec4d04066ae685af997f74011eb7dd20a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-02-13T13:14:49Z","title_canon_sha256":"e7875449116eda7281d4f1c392373038c72ba73bd23ff02a6f0e4e53b86b4a18"},"schema_version":"1.0","source":{"id":"1802.04605","kind":"arxiv","version":2}},"canonical_sha256":"67da2ae5cd88606dacf4e8fd698d670aa1561ab567f76e213311f9986c58c9e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67da2ae5cd88606dacf4e8fd698d670aa1561ab567f76e213311f9986c58c9e2","first_computed_at":"2026-05-18T00:23:11.341505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:11.341505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RpjrPocyHumeTDiZPsbMFTZUm1ueEzzAMlnvSYdW5KHh1FxBkiwTHxVpb94cQEqmdzTER17Fzlu9RRkubML7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:11.342253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04605","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:061211adcc2c64e3e0457b5b2eb44c371aa519614b2a2d01104f6e483ff5eec0","sha256:97a099789101266f41fb49acee3457a497d7d181d29a282d56fa50d83b87013b"],"state_sha256":"7abacd153a0c891f5061175a287242034142fa9fa0bc8c51e98e722016f84b74"}