{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FWCKVGKLESO2AK4L33T37ZJ3YJ","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":"2341531b05fb9f4cfb703ec9bc46ffe4596ef15565aa3afd4ab484c5d1812486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-02-17T17:15:10Z","title_canon_sha256":"2fea3b203be994d62c12555574b1a705403ec6623e97d877aad54b9538f7174a"},"schema_version":"1.0","source":{"id":"1202.3971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3971","created_at":"2026-05-18T04:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3971v1","created_at":"2026-05-18T04:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3971","created_at":"2026-05-18T04:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"FWCKVGKLESO2","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FWCKVGKLESO2AK4L","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FWCKVGKL","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:54a9893fcd392b8e1f9c7372074ee129ff329893e4794ce5eeeb96c2d413c39a","target":"graph","created_at":"2026-05-18T04:02:02Z","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 paper, we derive an asymptotic approximation to the eigenvalues of the linear differential equation $$ -y\"(x)+q(x)y(x)=\\lambda y(x), x\\in (a,b) $$ with boundary conditions of general form, when $q$ is a measurable function which has a singularity in $(a,b)$ and which is integrable on subsets of $(a,b)$ which exclude the singularity.","authors_text":"Mahdi Hormozi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-02-17T17:15:10Z","title":"A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of $-y\"+qy=\\lambda y$, with boundary conditions of general form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3971","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:da5b1e7610de6404f0f19bab05120c23d6b3f8b3d9a969c4a073979f74d6efb5","target":"record","created_at":"2026-05-18T04:02:02Z","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":"2341531b05fb9f4cfb703ec9bc46ffe4596ef15565aa3afd4ab484c5d1812486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-02-17T17:15:10Z","title_canon_sha256":"2fea3b203be994d62c12555574b1a705403ec6623e97d877aad54b9538f7174a"},"schema_version":"1.0","source":{"id":"1202.3971","kind":"arxiv","version":1}},"canonical_sha256":"2d84aa994b249da02b8bdee7bfe53bc246cc9bef475fddb809741fcf4c7403e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d84aa994b249da02b8bdee7bfe53bc246cc9bef475fddb809741fcf4c7403e5","first_computed_at":"2026-05-18T04:02:02.320293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:02.320293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OEe2ti2ugqhQNZnZqkTJwfD2/yYMZBha8wKPoOTFuoWPCjZsbPA0VgZN24julTN4qnDyePhXs7dn55CrB8ccCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:02.321006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da5b1e7610de6404f0f19bab05120c23d6b3f8b3d9a969c4a073979f74d6efb5","sha256:54a9893fcd392b8e1f9c7372074ee129ff329893e4794ce5eeeb96c2d413c39a"],"state_sha256":"90dcda4a41a9ce6ce37417f03a4010013c4b643e649baac873bd3f6d836a7eee"}