{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TJ73QPDWKRUSEGJDO47VMZCECG","short_pith_number":"pith:TJ73QPDW","schema_version":"1.0","canonical_sha256":"9a7fb83c765469221923773f566444118c688506082180ce713b700057d3c592","source":{"kind":"arxiv","id":"1301.1011","version":2},"attestation_state":"computed","paper":{"title":"On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"O. A. Veliev","submitted_at":"2013-01-06T15:01:04Z","abstract_excerpt":"We find conditions on the potential of the non-self-adjoint Mathieu-Hill operator such that the all eigenvalues of the periodic, antiperiodic, Dirichlet and Neumann boundary value problems are simple."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1301.1011","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-01-06T15:01:04Z","cross_cats_sorted":[],"title_canon_sha256":"dee2e0051d9752af49708291c724bb2a040b43a798b899beac01365b40170d87","abstract_canon_sha256":"207204e438d381f7e69f4bd4f53be7da4555980bb1bddadd65d4b895deb20364"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:56.173627Z","signature_b64":"Z+//pvjK8kkFrUgv74UJ2m+eCVtI9o507r4JTF4VIj8PvF9uen8PHIRzo8SIudIpqvuL3KwCzZJt6uUM5mRGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7fb83c765469221923773f566444118c688506082180ce713b700057d3c592","last_reissued_at":"2026-05-18T03:36:56.173142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:56.173142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"O. A. Veliev","submitted_at":"2013-01-06T15:01:04Z","abstract_excerpt":"We find conditions on the potential of the non-self-adjoint Mathieu-Hill operator such that the all eigenvalues of the periodic, antiperiodic, Dirichlet and Neumann boundary value problems are simple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1011","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.1011","created_at":"2026-05-18T03:36:56.173214+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.1011v2","created_at":"2026-05-18T03:36:56.173214+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1011","created_at":"2026-05-18T03:36:56.173214+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJ73QPDWKRUS","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJ73QPDWKRUSEGJD","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJ73QPDW","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG","json":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG.json","graph_json":"https://pith.science/api/pith-number/TJ73QPDWKRUSEGJDO47VMZCECG/graph.json","events_json":"https://pith.science/api/pith-number/TJ73QPDWKRUSEGJDO47VMZCECG/events.json","paper":"https://pith.science/paper/TJ73QPDW"},"agent_actions":{"view_html":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG","download_json":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG.json","view_paper":"https://pith.science/paper/TJ73QPDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.1011&json=true","fetch_graph":"https://pith.science/api/pith-number/TJ73QPDWKRUSEGJDO47VMZCECG/graph.json","fetch_events":"https://pith.science/api/pith-number/TJ73QPDWKRUSEGJDO47VMZCECG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG/action/storage_attestation","attest_author":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG/action/author_attestation","sign_citation":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG/action/citation_signature","submit_replication":"https://pith.science/pith/TJ73QPDWKRUSEGJDO47VMZCECG/action/replication_record"}},"created_at":"2026-05-18T03:36:56.173214+00:00","updated_at":"2026-05-18T03:36:56.173214+00:00"}