{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4XH7E57GV5ZMZWFDLC3TFYAAUA","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":"6d68c5ef03f668691fdaaffbf3f0f045d24fdce51a53b0a8fc3e28ccb15fb21c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-04T09:12:21Z","title_canon_sha256":"7e36cd41413389f390f5a568199e7cd45ba4fdc5d01109d1e091a3065520d7e8"},"schema_version":"1.0","source":{"id":"1906.01289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.01289","created_at":"2026-05-17T23:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"1906.01289v1","created_at":"2026-05-17T23:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01289","created_at":"2026-05-17T23:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"4XH7E57GV5ZM","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4XH7E57GV5ZMZWFD","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4XH7E57G","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:4747055a2cfd2ab7d33a9a1a432944e8693e077390d53a136571965f646b8a79","target":"graph","created_at":"2026-05-17T23:44:17Z","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 concerned with the ergodic problem for viscous Hamilton-Jacobi equations having superlinear Hamiltonian, inward-pointing drift, and positive potential which vanishes at infinity. Assuming some radial symmetry of the drift and the potential outside a ball, we establish sharp estimates of the generalized principal eigenvalue with respect to a perturbation of the potential.","authors_text":"Emmanuel Chasseigne (LMPT), Naoyuki Ichihara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-04T09:12:21Z","title":"Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01289","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":"sha256:417e3e4f858845d3789668e28fd45947d7d6d18235dd4c4db995967909fe13f1","target":"record","created_at":"2026-05-17T23:44:17Z","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":"6d68c5ef03f668691fdaaffbf3f0f045d24fdce51a53b0a8fc3e28ccb15fb21c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-04T09:12:21Z","title_canon_sha256":"7e36cd41413389f390f5a568199e7cd45ba4fdc5d01109d1e091a3065520d7e8"},"schema_version":"1.0","source":{"id":"1906.01289","kind":"arxiv","version":1}},"canonical_sha256":"e5cff277e6af72ccd8a358b732e000a01901f4a53271aaf61c8417296c45dbc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5cff277e6af72ccd8a358b732e000a01901f4a53271aaf61c8417296c45dbc4","first_computed_at":"2026-05-17T23:44:17.137390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:17.137390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MHfjbaSUNC/5saNHUUckWtKFzp/0guIOU/pfPnb76/Ghk/But552LUTWJii8esPIFAT0ET/gfyeuJ/Cb2RaIAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:17.137960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.01289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:417e3e4f858845d3789668e28fd45947d7d6d18235dd4c4db995967909fe13f1","sha256:4747055a2cfd2ab7d33a9a1a432944e8693e077390d53a136571965f646b8a79"],"state_sha256":"2cf741d136aa4876ef5e72d4958040004913f28d7c384df73eb22dda2bda5d7f"}