{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NXFLKJPENJE5IUPYW5BS5BOI4R","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":"cbd4c4c5356c07546817e2122e8b9e0bcdb21535cb7adb5c1039ae1d0c6a82a0","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-02-03T14:44:19Z","title_canon_sha256":"27011be2a666c794fb7557e78ce249f48b9ab0385b38797ad54b9e689abb7055"},"schema_version":"1.0","source":{"id":"1502.00877","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00877","created_at":"2026-05-18T01:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00877v2","created_at":"2026-05-18T01:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00877","created_at":"2026-05-18T01:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"NXFLKJPENJE5","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NXFLKJPENJE5IUPY","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NXFLKJPE","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:f83de21142aa21014344fea26997747cd8756ebbcafbe29ab74f47106d173b04","target":"graph","created_at":"2026-05-18T01:07:21Z","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":"We consider the Laplacian on a class of smooth domains $\\Omega\\subset \\mathbb{R}^{\\nu}$, $\\nu\\ge 2$, with attractive Robin boundary conditions: \\[ Q^\\Omega_\\alpha u=-\\Delta u, \\quad \\dfrac{\\partial u}{\\partial n}=\\alpha u \\text{ on } \\partial\\Omega, \\ \\alpha>0, \\] where $n$ is the outer unit normal, and study the asymptotics of its eigenvalues $E_{j}(Q^\\Omega_\\alpha)$ as well as some other spectral properties for $\\alpha\\to+\\infty$ We work with both compact domains and non-compact ones with a suitable behavior at infinity. For domains with compact $C^2$ boundaries and fixed $j$, we show that \\","authors_text":"Konstantin Pankrashkin, Nicolas Popoff","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-02-03T14:44:19Z","title":"An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00877","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:d57d5f9c50387a9a46ce858a017adcd18095aa6f8c19aa891d3087cdca92de1b","target":"record","created_at":"2026-05-18T01:07:21Z","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":"cbd4c4c5356c07546817e2122e8b9e0bcdb21535cb7adb5c1039ae1d0c6a82a0","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-02-03T14:44:19Z","title_canon_sha256":"27011be2a666c794fb7557e78ce249f48b9ab0385b38797ad54b9e689abb7055"},"schema_version":"1.0","source":{"id":"1502.00877","kind":"arxiv","version":2}},"canonical_sha256":"6dcab525e46a49d451f8b7432e85c8e44dcc5f54b5c4eff513b90ec2a03d1be4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dcab525e46a49d451f8b7432e85c8e44dcc5f54b5c4eff513b90ec2a03d1be4","first_computed_at":"2026-05-18T01:07:21.264200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:21.264200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qGh/YgtTEDb6CdZQ4FJu+BzN/Sq9OPB969OoZeZRKQlwzH1gdNTXkW2xgiD3w3tlbPrB+RnjbY/uleV3Xm8+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:21.264685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00877","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d57d5f9c50387a9a46ce858a017adcd18095aa6f8c19aa891d3087cdca92de1b","sha256:f83de21142aa21014344fea26997747cd8756ebbcafbe29ab74f47106d173b04"],"state_sha256":"7f5b609479d2b25c4a9dee70c2b5552627291fe9e151ce1975f9a166c0db2551"}