{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O4XAYTTGTWGDG55NZCQTSW4IZ3","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":"ec5a910bf56938525c7d65580a2a015bb2649cad6a789ec765ad334a09eb712d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-17T12:40:53Z","title_canon_sha256":"676221370ed9c7d103522115f162c5c622a061e3d4129d865c7504859dfc6d4d"},"schema_version":"1.0","source":{"id":"1702.05321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05321","created_at":"2026-05-18T00:50:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05321v1","created_at":"2026-05-18T00:50:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05321","created_at":"2026-05-18T00:50:31Z"},{"alias_kind":"pith_short_12","alias_value":"O4XAYTTGTWGD","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O4XAYTTGTWGDG55N","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O4XAYTTG","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:21428612904a953efabec65f4ffd1a754ab759ce11213c5a8289101cf017c16a","target":"graph","created_at":"2026-05-18T00:50:31Z","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 perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of the unperturbed problem as the perturbation becomes small. The results rely on nonsmooth critical point theory based on the weak slope.","authors_text":"Fridemann Schuricht, Samuel Littig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-17T12:40:53Z","title":"Perturbation results involving the 1-Laplace operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05321","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:bc93e853da126fd2afa62d305f685abe0f193ad20eeceb8ba5d54b5238b126a8","target":"record","created_at":"2026-05-18T00:50:31Z","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":"ec5a910bf56938525c7d65580a2a015bb2649cad6a789ec765ad334a09eb712d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-17T12:40:53Z","title_canon_sha256":"676221370ed9c7d103522115f162c5c622a061e3d4129d865c7504859dfc6d4d"},"schema_version":"1.0","source":{"id":"1702.05321","kind":"arxiv","version":1}},"canonical_sha256":"772e0c4e669d8c3377adc8a1395b88ced28d19649cc17722300bbf2abee72ac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"772e0c4e669d8c3377adc8a1395b88ced28d19649cc17722300bbf2abee72ac0","first_computed_at":"2026-05-18T00:50:31.996644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:31.996644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/gh/9wbbSedva6FvELviH6nHGOrcgTN6Onqb+uXOtmW9vChC0k6+OU8EdB1R10HYXV074f/CKtqlLqF6MWewCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:31.997358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc93e853da126fd2afa62d305f685abe0f193ad20eeceb8ba5d54b5238b126a8","sha256:21428612904a953efabec65f4ffd1a754ab759ce11213c5a8289101cf017c16a"],"state_sha256":"b00c52face79d4b15c1f699dbd04b989edfea62d2955ada241424ba1d670fbf4"}