{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:W7ABYUODEJ2E4S6EZPSIGLQJAB","short_pith_number":"pith:W7ABYUOD","canonical_record":{"source":{"id":"1401.7098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-28T07:14:31Z","cross_cats_sorted":[],"title_canon_sha256":"8617f8c4c4ade4da237bfc7f5427a3768736243d1864e353cd70dae6cc2ca90e","abstract_canon_sha256":"e865417a31ca0631d8421f9641fcec372a732c26a36fa53325a68bebc5ea9e9a"},"schema_version":"1.0"},"canonical_sha256":"b7c01c51c322744e4bc4cbe4832e09007b3fe1590e93573b9deacfc5b836bf02","source":{"kind":"arxiv","id":"1401.7098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7098","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7098v2","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7098","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"W7ABYUODEJ2E","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W7ABYUODEJ2E4S6E","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W7ABYUOD","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:W7ABYUODEJ2E4S6EZPSIGLQJAB","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-28T07:14:31Z","cross_cats_sorted":[],"title_canon_sha256":"8617f8c4c4ade4da237bfc7f5427a3768736243d1864e353cd70dae6cc2ca90e","abstract_canon_sha256":"e865417a31ca0631d8421f9641fcec372a732c26a36fa53325a68bebc5ea9e9a"},"schema_version":"1.0"},"canonical_sha256":"b7c01c51c322744e4bc4cbe4832e09007b3fe1590e93573b9deacfc5b836bf02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:18.712732Z","signature_b64":"xN7HS1dJaf9qp0cGCPZ8C4A7Wx8TP54RjlxJPhdOf/yRkEAqwfVv5LJjYOUrVMfSzuc7DRtYS4mCgUrkcHppBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7c01c51c322744e4bc4cbe4832e09007b3fe1590e93573b9deacfc5b836bf02","last_reissued_at":"2026-05-18T02:41:18.712340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:18.712340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7098","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aEUybFtbdEJDZm2sMOcQz+Rqux4fq8yuvcutTMKLcFtkhLPabb1i0ip/d8651lgNQ//gVnzAlFc1J+ManUsWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:15:40.993707Z"},"content_sha256":"2c6c02466dd7edcf7370683d80936d6278798b7ed6b4311468eced76a788ef1a","schema_version":"1.0","event_id":"sha256:2c6c02466dd7edcf7370683d80936d6278798b7ed6b4311468eced76a788ef1a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:W7ABYUODEJ2E4S6EZPSIGLQJAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An extremal eigenvalue problem for the Wentzell-Laplace operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Djalil Kateb (LMAC), Jimmy Lamboley (CEREMADE), Marc Dambrine (LMAP)","submitted_at":"2014-01-28T07:14:31Z","abstract_excerpt":"We consider the question of giving an upper bound for the first nontrivial eigenvalue of the Wentzell-Laplace operator of a domain $\\Omega$, involving only geometrical informations. We provide such an upper bound, by generalizing Brock's inequality concerning Steklov eigenvalues, and we conjecture that balls maximize the Wentzell eigenvalue, in a suitable class of domains, which would improve our bound. To support this conjecture, we prove that balls are critical domains for the Wentzell eigenvalue, in any dimension, and that they are local maximizers in dimension 2 and 3, using an order two s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7098","kind":"arxiv","version":2},"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":"2026-05-18T02:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"46+4MCsWjRFo5WVdccb5Khz5lCXKYELbhH+XTA9QGZ66ZyV6LLyJh/ZB0HOlYZDAb5B86eNjlkpT1pmjDVMEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:15:40.994705Z"},"content_sha256":"8a2a96b3ecb04d72cbe5d14eedb9a2585acb335dc86397b271def6abf170f4e5","schema_version":"1.0","event_id":"sha256:8a2a96b3ecb04d72cbe5d14eedb9a2585acb335dc86397b271def6abf170f4e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/bundle.json","state_url":"https://pith.science/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/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":"2026-05-31T22:15:40Z","links":{"resolver":"https://pith.science/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB","bundle":"https://pith.science/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/bundle.json","state":"https://pith.science/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7ABYUODEJ2E4S6EZPSIGLQJAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W7ABYUODEJ2E4S6EZPSIGLQJAB","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":"e865417a31ca0631d8421f9641fcec372a732c26a36fa53325a68bebc5ea9e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-28T07:14:31Z","title_canon_sha256":"8617f8c4c4ade4da237bfc7f5427a3768736243d1864e353cd70dae6cc2ca90e"},"schema_version":"1.0","source":{"id":"1401.7098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7098","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7098v2","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7098","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"W7ABYUODEJ2E","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W7ABYUODEJ2E4S6E","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W7ABYUOD","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:8a2a96b3ecb04d72cbe5d14eedb9a2585acb335dc86397b271def6abf170f4e5","target":"graph","created_at":"2026-05-18T02:41:18Z","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 question of giving an upper bound for the first nontrivial eigenvalue of the Wentzell-Laplace operator of a domain $\\Omega$, involving only geometrical informations. We provide such an upper bound, by generalizing Brock's inequality concerning Steklov eigenvalues, and we conjecture that balls maximize the Wentzell eigenvalue, in a suitable class of domains, which would improve our bound. To support this conjecture, we prove that balls are critical domains for the Wentzell eigenvalue, in any dimension, and that they are local maximizers in dimension 2 and 3, using an order two s","authors_text":"Djalil Kateb (LMAC), Jimmy Lamboley (CEREMADE), Marc Dambrine (LMAP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-28T07:14:31Z","title":"An extremal eigenvalue problem for the Wentzell-Laplace operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7098","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":"sha256:2c6c02466dd7edcf7370683d80936d6278798b7ed6b4311468eced76a788ef1a","target":"record","created_at":"2026-05-18T02:41:18Z","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":"e865417a31ca0631d8421f9641fcec372a732c26a36fa53325a68bebc5ea9e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-28T07:14:31Z","title_canon_sha256":"8617f8c4c4ade4da237bfc7f5427a3768736243d1864e353cd70dae6cc2ca90e"},"schema_version":"1.0","source":{"id":"1401.7098","kind":"arxiv","version":2}},"canonical_sha256":"b7c01c51c322744e4bc4cbe4832e09007b3fe1590e93573b9deacfc5b836bf02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7c01c51c322744e4bc4cbe4832e09007b3fe1590e93573b9deacfc5b836bf02","first_computed_at":"2026-05-18T02:41:18.712340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:18.712340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xN7HS1dJaf9qp0cGCPZ8C4A7Wx8TP54RjlxJPhdOf/yRkEAqwfVv5LJjYOUrVMfSzuc7DRtYS4mCgUrkcHppBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:18.712732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c6c02466dd7edcf7370683d80936d6278798b7ed6b4311468eced76a788ef1a","sha256:8a2a96b3ecb04d72cbe5d14eedb9a2585acb335dc86397b271def6abf170f4e5"],"state_sha256":"a520e303d122692c9909f8936e855a4de43fe7b3108f29cca263544f0fbba8e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"buAyTXhjmzl27t8E2hKYyeaaqAMOk0jhHN6HDnhPw9Qa54s+lKymPZKjqwUlolrsUYXHrMOwoy9u4KB7Fwo4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:15:40.999513Z","bundle_sha256":"26c23c5a8fb3b95027e33330755607ef8e288c7755f6b918f1ee1e01ad42b3c3"}}