{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:KP7IZWA7VVFGL3VKWLZA46VMDY","short_pith_number":"pith:KP7IZWA7","schema_version":"1.0","canonical_sha256":"53fe8cd81fad4a65eeaab2f20e7aac1e35285a4fb943f8afdf4b86bb52fc8e4b","source":{"kind":"arxiv","id":"math/9808024","version":1},"attestation_state":"computed","paper":{"title":"Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"Andrea Pollok-Narayanan, Harold Steinacker, Julius Wess, Rainer Dick","submitted_at":"1998-08-05T17:08:36Z","abstract_excerpt":"A $q$--deformed anharmonic oscillator is defined within the framework of $q$--deformed quantum mechanics. It is shown that the Rayleigh--Schr\\\"odinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for $q$ close to 1. The radius of convergence becomes zero in the undeformed limit."},"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":"math/9808024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1998-08-05T17:08:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"eab376954c9937bba3a451e34238ab8f5141a5a6cb3216652979d7be44f6b791","abstract_canon_sha256":"46a689b750623ffae6cbad6da8a4e672bbe4649f645b5c21b38da928a7ed2041"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:02.847588Z","signature_b64":"k3YFuC0pYIkPsbpQdF1lSDy4Ge2PQCHd0pze1ssQsDsuWV4MHWQkygGasif9YSeHtew0SaMwRGa6XQj65NL/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53fe8cd81fad4a65eeaab2f20e7aac1e35285a4fb943f8afdf4b86bb52fc8e4b","last_reissued_at":"2026-05-18T02:43:02.847033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:02.847033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"Andrea Pollok-Narayanan, Harold Steinacker, Julius Wess, Rainer Dick","submitted_at":"1998-08-05T17:08:36Z","abstract_excerpt":"A $q$--deformed anharmonic oscillator is defined within the framework of $q$--deformed quantum mechanics. It is shown that the Rayleigh--Schr\\\"odinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for $q$ close to 1. The radius of convergence becomes zero in the undeformed limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9808024","kind":"arxiv","version":1},"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":"math/9808024","created_at":"2026-05-18T02:43:02.847115+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9808024v1","created_at":"2026-05-18T02:43:02.847115+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9808024","created_at":"2026-05-18T02:43:02.847115+00:00"},{"alias_kind":"pith_short_12","alias_value":"KP7IZWA7VVFG","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"KP7IZWA7VVFGL3VK","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"KP7IZWA7","created_at":"2026-05-18T12:25:49.038998+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/KP7IZWA7VVFGL3VKWLZA46VMDY","json":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY.json","graph_json":"https://pith.science/api/pith-number/KP7IZWA7VVFGL3VKWLZA46VMDY/graph.json","events_json":"https://pith.science/api/pith-number/KP7IZWA7VVFGL3VKWLZA46VMDY/events.json","paper":"https://pith.science/paper/KP7IZWA7"},"agent_actions":{"view_html":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY","download_json":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY.json","view_paper":"https://pith.science/paper/KP7IZWA7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9808024&json=true","fetch_graph":"https://pith.science/api/pith-number/KP7IZWA7VVFGL3VKWLZA46VMDY/graph.json","fetch_events":"https://pith.science/api/pith-number/KP7IZWA7VVFGL3VKWLZA46VMDY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY/action/storage_attestation","attest_author":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY/action/author_attestation","sign_citation":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY/action/citation_signature","submit_replication":"https://pith.science/pith/KP7IZWA7VVFGL3VKWLZA46VMDY/action/replication_record"}},"created_at":"2026-05-18T02:43:02.847115+00:00","updated_at":"2026-05-18T02:43:02.847115+00:00"}