{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M2EKYUPNDK7BF6NNQIXMPAICJ3","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":"23e86b6c418a46b4db7ba59807b3c1aeff0fc88f7bc1b60471e40a0e020bdbb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-06T15:00:34Z","title_canon_sha256":"ebda838e8fc1b89706adc663bca9999e019a794ceeecf832aceb8951ca984830"},"schema_version":"1.0","source":{"id":"1704.01875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01875","created_at":"2026-05-18T00:46:54Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01875v1","created_at":"2026-05-18T00:46:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01875","created_at":"2026-05-18T00:46:54Z"},{"alias_kind":"pith_short_12","alias_value":"M2EKYUPNDK7B","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"M2EKYUPNDK7BF6NN","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"M2EKYUPN","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:bc6b21c46961270382b0fa4e8d3ee1f1501eb9c8670a7d390d56517614db6973","target":"graph","created_at":"2026-05-18T00:46:54Z","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":"In this article we prove that the first eigenvalue of the $\\infty-$Laplacian $$ \\left\\{ \\begin{array}{rclcl}\n  \\min\\{ -\\Delta_\\infty v,\\, |\\nabla v|-\\lambda_{1, \\infty}(\\Omega) v \\} & = & 0 & \\text{in} & \\Omega v & = & 0 & \\text{on} & \\partial \\Omega, \\end{array} \\right. $$ has a unique (up to scalar multiplication) maximal solution. This maximal solution can be obtained as the limit as $\\ell \\nearrow 1$ of concave problems of the form $$ \\left\\{ \\begin{array}{rclcl}\n  \\min\\{ -\\Delta_\\infty v_{\\ell},\\, |\\nabla v_{\\ell}|-\\lambda_{1, \\infty}(\\Omega) v_{\\ell}^{\\ell} \\} & = & 0 & \\text{in} & \\Omeg","authors_text":"Ariel M. Salort, Joao V. da Silva, Julio D. Rossi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-06T15:00:34Z","title":"Maximal solutions for the Infinity-eigenvalue problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01875","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":"sha256:7b3bb72b1fc158f168a728535c107ab8c07f9b75d9b388cfd7cabb3838d2dd69","target":"record","created_at":"2026-05-18T00:46:54Z","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":"23e86b6c418a46b4db7ba59807b3c1aeff0fc88f7bc1b60471e40a0e020bdbb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-06T15:00:34Z","title_canon_sha256":"ebda838e8fc1b89706adc663bca9999e019a794ceeecf832aceb8951ca984830"},"schema_version":"1.0","source":{"id":"1704.01875","kind":"arxiv","version":1}},"canonical_sha256":"6688ac51ed1abe12f9ad822ec781024ed3606ed58486943b46a918e343e74457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6688ac51ed1abe12f9ad822ec781024ed3606ed58486943b46a918e343e74457","first_computed_at":"2026-05-18T00:46:54.126743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:54.126743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RqCL9nCJIkob7J5YF9ssK2ekyQ9L7rPP/4CmDe5l4fUE3deruAQHd1dELsduw4RkDxYWnSYVXVugU+Jr+IGCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:54.127372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b3bb72b1fc158f168a728535c107ab8c07f9b75d9b388cfd7cabb3838d2dd69","sha256:bc6b21c46961270382b0fa4e8d3ee1f1501eb9c8670a7d390d56517614db6973"],"state_sha256":"4c8ba5ce01779677937bc9f35801938173da39c5ad74a074f9fda5e039c0cc42"}