{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A5JBAUQF6IVJH3EB3CRMI6Q4QB","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":"87e0c6eb123d00741d69be44240f3fbd188de0d1e6403331a4d05f76aee4b3f2","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-02-12T18:43:54Z","title_canon_sha256":"35217cdce9553e75763294dc8550190697f946b58cf41a4b3433733639df351e"},"schema_version":"1.0","source":{"id":"1902.04545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04545","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04545v1","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04545","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"A5JBAUQF6IVJ","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"A5JBAUQF6IVJH3EB","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"A5JBAUQF","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:c517e3306bd9aa65ff2285c17b63bff39e26f1e70dbb8f967e1cb863a534ad24","target":"graph","created_at":"2026-05-17T23:54:12Z","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 study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise H\\\"older continuous perturbation and investigate how the H\\\"older constant can affect the eigenvalues. More precisely, we derive several first terms in the asymptotic expansion for the eigenvalues.","authors_text":"Ksenia Fedosova, Medet Nursultanov","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-02-12T18:43:54Z","title":"Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04545","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":"sha256:1e813336638dc49c993c174602771e9c4ba098041e62b8ce5f4c749d6b55e9e4","target":"record","created_at":"2026-05-17T23:54:12Z","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":"87e0c6eb123d00741d69be44240f3fbd188de0d1e6403331a4d05f76aee4b3f2","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-02-12T18:43:54Z","title_canon_sha256":"35217cdce9553e75763294dc8550190697f946b58cf41a4b3433733639df351e"},"schema_version":"1.0","source":{"id":"1902.04545","kind":"arxiv","version":1}},"canonical_sha256":"0752105205f22a93ec81d8a2c47a1c804c9b2387e4c7154f33e0b505130f8502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0752105205f22a93ec81d8a2c47a1c804c9b2387e4c7154f33e0b505130f8502","first_computed_at":"2026-05-17T23:54:12.007407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:12.007407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yciqueiHGBXko8xu+R9LNkZhJ6RrI4Vo2Gc/mZtavd4eyWzt/HHWyUg1FIg3g1KNGuyAsNfCxrgT235ChpDyDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:12.007842Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e813336638dc49c993c174602771e9c4ba098041e62b8ce5f4c749d6b55e9e4","sha256:c517e3306bd9aa65ff2285c17b63bff39e26f1e70dbb8f967e1cb863a534ad24"],"state_sha256":"9884d19a4f8c5e8b2e74c13eb21637dccb235305044ac6903ebf2e4153d5dc3e"}