{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MII4Q3LCAXXC7VRYDYA2OVOYXG","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":"79057e2d4987f2a0a3454cbf8d818b548f7ed24c5fa154aa51bf44a453eafed5","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-18T13:39:21Z","title_canon_sha256":"d0304eb3a1d96d214fba217af18807fd2e3a1757e3d266c6917f5806f179e8de"},"schema_version":"1.0","source":{"id":"1801.06008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06008","created_at":"2026-05-18T00:25:33Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06008v2","created_at":"2026-05-18T00:25:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06008","created_at":"2026-05-18T00:25:33Z"},{"alias_kind":"pith_short_12","alias_value":"MII4Q3LCAXXC","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MII4Q3LCAXXC7VRY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MII4Q3LC","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:d0eaf1588552731709bb278088469aa790a9354067e47085843e984f8155c5c4","target":"graph","created_at":"2026-05-18T00:25:33Z","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 provides a counterexample about the asymptotic behavior of the solutions of a discounted Hamilton-Jacobi equation, as the discount factor vanishes. The Hamiltonian of the equation is a 1-dimensional continuous and coercive Hamiltonian.","authors_text":"Bruno Ziliotto","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-18T13:39:21Z","title":"Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06008","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":"sha256:5f86de917054c6b0227c814017a0d0dd4727def3310b9e3b1d3f95d5ad663b5d","target":"record","created_at":"2026-05-18T00:25:33Z","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":"79057e2d4987f2a0a3454cbf8d818b548f7ed24c5fa154aa51bf44a453eafed5","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-18T13:39:21Z","title_canon_sha256":"d0304eb3a1d96d214fba217af18807fd2e3a1757e3d266c6917f5806f179e8de"},"schema_version":"1.0","source":{"id":"1801.06008","kind":"arxiv","version":2}},"canonical_sha256":"6211c86d6205ee2fd6381e01a755d8b99750e572db8950fbeb9c0bf924de4778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6211c86d6205ee2fd6381e01a755d8b99750e572db8950fbeb9c0bf924de4778","first_computed_at":"2026-05-18T00:25:33.271628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:33.271628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7qnulFOB73IYGzylbZensSHCFf8kh579qgsqvwqlq5K9AElRAK+LibtfBdNwcyMiii28BXE0UmDYFxlP1dwcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:33.272407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f86de917054c6b0227c814017a0d0dd4727def3310b9e3b1d3f95d5ad663b5d","sha256:d0eaf1588552731709bb278088469aa790a9354067e47085843e984f8155c5c4"],"state_sha256":"55f8e6091a9b41725731f55b19985b51aaa6d76fb45b79daa931c18eebe7cf22"}