{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QGLN3MMXFIACME3JFSJUVKCYQD","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":"13b3e960acb5e9f503666284b794d81fdde2226824da941d8777fd8e6e4713a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T19:28:12Z","title_canon_sha256":"19ff8787f431a9f4ea255d8e16c4ea335131e03a133ae2400884f63473ec6d32"},"schema_version":"1.0","source":{"id":"1403.7182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7182","created_at":"2026-05-18T01:43:49Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7182v2","created_at":"2026-05-18T01:43:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7182","created_at":"2026-05-18T01:43:49Z"},{"alias_kind":"pith_short_12","alias_value":"QGLN3MMXFIAC","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QGLN3MMXFIACME3J","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QGLN3MMX","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:7137bda1fef933ab45c02a245dbb0d91dc5d0f039678c0fc1931103036139580","target":"graph","created_at":"2026-05-18T01:43:49Z","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":"Problems in exponential asymptotics are typically characterized by divergence of the associated asymptotic expansion in the form of a factorial divided by a power. In this paper, we demonstrate that in certain classes of problems that involve coalescing singularities, a more general type of exponential-over-power divergence must be used. As a model example, we study the water waves produced by flow past an obstruction such as a surface-piercing ship. In the low speed or low Froude limit, the resultant water waves are exponentially small, and their formation is attributed to the singularities i","authors_text":"Philippe H. Trinh, S. Jonathan Chapman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T19:28:12Z","title":"Exponential asymptotics and problems with coalescing singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7182","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:ee57de6a72bc063a327394c344ed456c6658988cf0ba1311c190f002c3b41dd5","target":"record","created_at":"2026-05-18T01:43:49Z","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":"13b3e960acb5e9f503666284b794d81fdde2226824da941d8777fd8e6e4713a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T19:28:12Z","title_canon_sha256":"19ff8787f431a9f4ea255d8e16c4ea335131e03a133ae2400884f63473ec6d32"},"schema_version":"1.0","source":{"id":"1403.7182","kind":"arxiv","version":2}},"canonical_sha256":"8196ddb1972a002613692c934aa85880d150a925311fdb4385318cbbe26b7d68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8196ddb1972a002613692c934aa85880d150a925311fdb4385318cbbe26b7d68","first_computed_at":"2026-05-18T01:43:49.958073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:49.958073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cTC0Lpj8/VRkREQfsIIQzkK0Dlj9+xX42bXvSCw7Zu+SFB0jUXTZjmgENJFuuVNyh6uWHAp057ihiPyAtVw8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:49.958784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee57de6a72bc063a327394c344ed456c6658988cf0ba1311c190f002c3b41dd5","sha256:7137bda1fef933ab45c02a245dbb0d91dc5d0f039678c0fc1931103036139580"],"state_sha256":"72ec81498e0dafbfffe17617244059e1363078993ba853bc10ad13ed1af81df6"}