{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FQJ2FA6JJNSRRVNDBUJGNGESWH","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":"e5c8009e966d0d18250b058d7b1a45eda51c29521bc2a902c28d299ce12f27bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-02T03:03:10Z","title_canon_sha256":"99b07858217e42de950f9c666b0e3ef3178605823d70143053a7f0ffde7b64ee"},"schema_version":"1.0","source":{"id":"1904.01188","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.01188","created_at":"2026-07-05T00:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1904.01188v2","created_at":"2026-07-05T00:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01188","created_at":"2026-07-05T00:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"FQJ2FA6JJNSR","created_at":"2026-07-05T00:01:46Z"},{"alias_kind":"pith_short_16","alias_value":"FQJ2FA6JJNSRRVND","created_at":"2026-07-05T00:01:46Z"},{"alias_kind":"pith_short_8","alias_value":"FQJ2FA6J","created_at":"2026-07-05T00:01:46Z"}],"graph_snapshots":[{"event_id":"sha256:44589f3f95a4ef5da17053ce119ac1612d146841b7672c1eefdd20766dc47b5f","target":"graph","created_at":"2026-07-05T00:01:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1904.01188/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. It is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.","authors_text":"Hao Jia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-02T03:03:10Z","title":"Linear inviscid damping in Gevrey spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01188","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":"sha256:6c32d82145deb1578f06ff7e19a3c0e202c712880d2ee7e970fd6ee20aae9c06","target":"record","created_at":"2026-07-05T00:01:46Z","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":"e5c8009e966d0d18250b058d7b1a45eda51c29521bc2a902c28d299ce12f27bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-02T03:03:10Z","title_canon_sha256":"99b07858217e42de950f9c666b0e3ef3178605823d70143053a7f0ffde7b64ee"},"schema_version":"1.0","source":{"id":"1904.01188","kind":"arxiv","version":2}},"canonical_sha256":"2c13a283c94b6518d5a30d12669892b1d4e7629f8efbf718181de17f5a4450df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c13a283c94b6518d5a30d12669892b1d4e7629f8efbf718181de17f5a4450df","first_computed_at":"2026-07-05T00:01:46.666547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:46.666547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptjVZupBCmZ/dhOeqphIL8pp/p7CTB8jK+ZdWtTOtKrELvpL3TRK4gYWz5xXMEepfw8imkete4yuxc5nCpZJBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:46.666983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.01188","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c32d82145deb1578f06ff7e19a3c0e202c712880d2ee7e970fd6ee20aae9c06","sha256:44589f3f95a4ef5da17053ce119ac1612d146841b7672c1eefdd20766dc47b5f"],"state_sha256":"28fb037a1d104565e6db6c8a2fb7719fa99a20181106e7bcf762ccdf5c9c2f9b"}