{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RDQ2KLY7S2OQJHWKRMN2QJ3H2T","short_pith_number":"pith:RDQ2KLY7","canonical_record":{"source":{"id":"1603.07461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-24T07:54:30Z","cross_cats_sorted":[],"title_canon_sha256":"a88fe97a7f493fb54134389f2c065c9dfe14fc20e1cd728dd421934f9252d451","abstract_canon_sha256":"a23ccb6d06f2641d60d3e2601e50bd97d795324a0342946e4a03fa5ce83abddb"},"schema_version":"1.0"},"canonical_sha256":"88e1a52f1f969d049eca8b1ba82767d4f09f5985ba1658fa4eee2f452c9eb637","source":{"kind":"arxiv","id":"1603.07461","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07461","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07461v1","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07461","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"RDQ2KLY7S2OQ","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RDQ2KLY7S2OQJHWK","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RDQ2KLY7","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RDQ2KLY7S2OQJHWKRMN2QJ3H2T","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-24T07:54:30Z","cross_cats_sorted":[],"title_canon_sha256":"a88fe97a7f493fb54134389f2c065c9dfe14fc20e1cd728dd421934f9252d451","abstract_canon_sha256":"a23ccb6d06f2641d60d3e2601e50bd97d795324a0342946e4a03fa5ce83abddb"},"schema_version":"1.0"},"canonical_sha256":"88e1a52f1f969d049eca8b1ba82767d4f09f5985ba1658fa4eee2f452c9eb637","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:20.870120Z","signature_b64":"UhCQ/4DMxR7Er9NKag7cDFyABeNIdkwDBRotkQfGC+GxfSJqwLskQUhQWZZYp3O5nR3TKv4izSs7mAxLSlUYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88e1a52f1f969d049eca8b1ba82767d4f09f5985ba1658fa4eee2f452c9eb637","last_reissued_at":"2026-05-18T01:18:20.869642Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:20.869642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07461","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NTTifMnLNZNCvIOw7y6UwPCI2YUk4wOE0Cv3TtZtE8aG8VuYT3lQAfMC/YYy+gTPBCctS8b2Uoun2akyfwe4Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:09:24.757162Z"},"content_sha256":"b72085d758ae591cb0b8174f4bd7ed829607c131176d72b18556cc857b437750","schema_version":"1.0","event_id":"sha256:b72085d758ae591cb0b8174f4bd7ed829607c131176d72b18556cc857b437750"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RDQ2KLY7S2OQJHWKRMN2QJ3H2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton-Jacobi equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Emmanuel Chasseigne (FRDP, LMPT), Naoyuki Ichihara","submitted_at":"2016-03-24T07:54:30Z","abstract_excerpt":"This paper is concerned with the ergodic problem for superquadratic viscous Hamilton-Jacobi equations with exponent m \\textgreater{} 2. We prove that the generalized principal eigenvalue of the equation converges to a constant as m $\\rightarrow$ $\\infty$, and that the limit coincides with the generalized principal eigenvalue of an ergodic problem with gradient constraint. We also investigate some qualitative properties of the generalized principal eigenvalue with respect to a perturbation of the potential function. It turns out that different situations take place according to m = 2, 2 \\textle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07461","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gB5J3vkBdIubW18bKa6PEP848cy8GZtDqFv16uav6sJR2Ntr+fm1QuZJfANFU8PC1wZpIzUL+ENWtRxbJWZtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:09:24.757524Z"},"content_sha256":"516eef05a755f4db004b62c3f640eb2ed6e1b9a9567cbbc1853c181030debb34","schema_version":"1.0","event_id":"sha256:516eef05a755f4db004b62c3f640eb2ed6e1b9a9567cbbc1853c181030debb34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/bundle.json","state_url":"https://pith.science/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T10:09:24Z","links":{"resolver":"https://pith.science/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T","bundle":"https://pith.science/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/bundle.json","state":"https://pith.science/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDQ2KLY7S2OQJHWKRMN2QJ3H2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RDQ2KLY7S2OQJHWKRMN2QJ3H2T","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":"a23ccb6d06f2641d60d3e2601e50bd97d795324a0342946e4a03fa5ce83abddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-24T07:54:30Z","title_canon_sha256":"a88fe97a7f493fb54134389f2c065c9dfe14fc20e1cd728dd421934f9252d451"},"schema_version":"1.0","source":{"id":"1603.07461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07461","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07461v1","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07461","created_at":"2026-05-18T01:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"RDQ2KLY7S2OQ","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RDQ2KLY7S2OQJHWK","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RDQ2KLY7","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:516eef05a755f4db004b62c3f640eb2ed6e1b9a9567cbbc1853c181030debb34","target":"graph","created_at":"2026-05-18T01:18:20Z","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 superquadratic viscous Hamilton-Jacobi equations with exponent m \\textgreater{} 2. We prove that the generalized principal eigenvalue of the equation converges to a constant as m $\\rightarrow$ $\\infty$, and that the limit coincides with the generalized principal eigenvalue of an ergodic problem with gradient constraint. We also investigate some qualitative properties of the generalized principal eigenvalue with respect to a perturbation of the potential function. It turns out that different situations take place according to m = 2, 2 \\textle","authors_text":"Emmanuel Chasseigne (FRDP, LMPT), Naoyuki Ichihara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-24T07:54:30Z","title":"Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton-Jacobi equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07461","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:b72085d758ae591cb0b8174f4bd7ed829607c131176d72b18556cc857b437750","target":"record","created_at":"2026-05-18T01:18:20Z","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":"a23ccb6d06f2641d60d3e2601e50bd97d795324a0342946e4a03fa5ce83abddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-24T07:54:30Z","title_canon_sha256":"a88fe97a7f493fb54134389f2c065c9dfe14fc20e1cd728dd421934f9252d451"},"schema_version":"1.0","source":{"id":"1603.07461","kind":"arxiv","version":1}},"canonical_sha256":"88e1a52f1f969d049eca8b1ba82767d4f09f5985ba1658fa4eee2f452c9eb637","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88e1a52f1f969d049eca8b1ba82767d4f09f5985ba1658fa4eee2f452c9eb637","first_computed_at":"2026-05-18T01:18:20.869642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:20.869642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UhCQ/4DMxR7Er9NKag7cDFyABeNIdkwDBRotkQfGC+GxfSJqwLskQUhQWZZYp3O5nR3TKv4izSs7mAxLSlUYCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:20.870120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b72085d758ae591cb0b8174f4bd7ed829607c131176d72b18556cc857b437750","sha256:516eef05a755f4db004b62c3f640eb2ed6e1b9a9567cbbc1853c181030debb34"],"state_sha256":"21deefea04581299791855ec4e326614c565f3495d1f45d70b2e036c3115fa6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYB8LmeABDSZ9NgYEEX/YBrprPPSdH0mI+u/OiVKXI1J1vX84rszaT7tg2pIdG9Y+xn/q65e6gZLQoU1GWWZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T10:09:24.759428Z","bundle_sha256":"77883404f4de6e1d91c66d91ea2f514643d82fd0fe44b9b6568a80fab478e1a2"}}