{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G5OIJXPXXNQ3UCMKIFDZSL76RP","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":"ad8b95a96d8e20381c4538dcc7e83b219c9554badde840a17f70d3ee58d84bbe","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-11T21:20:46Z","title_canon_sha256":"e664244a604f21bf9a644e6edd5cb1fc8969a7209f5a819f0d32b9f5c886b3a7"},"schema_version":"1.0","source":{"id":"1710.04305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04305","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04305v1","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04305","created_at":"2026-05-18T00:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"G5OIJXPXXNQ3","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G5OIJXPXXNQ3UCMK","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G5OIJXPX","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:16c900fa4486aa5ee8902a0bfb15259a73bc490c07973dfaa79441d71688879c","target":"graph","created_at":"2026-05-18T00:33:01Z","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 construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s construction in supersymmetric quantum mechanics. For two diferent cases of the master functions, we obtain two diferent two-dimensional superintegrable systems with higher order integrals of motion.","authors_text":"H. Panahi, Z. Alizadeh","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-11T21:20:46Z","title":"Integrable and superintegrable systems with higher order integrals of motion: master function formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04305","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":"sha256:14b5ae02c44757f913f5f2ae7b83010463e65dd467ce7b86eb0af908db41f87e","target":"record","created_at":"2026-05-18T00:33:01Z","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":"ad8b95a96d8e20381c4538dcc7e83b219c9554badde840a17f70d3ee58d84bbe","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-11T21:20:46Z","title_canon_sha256":"e664244a604f21bf9a644e6edd5cb1fc8969a7209f5a819f0d32b9f5c886b3a7"},"schema_version":"1.0","source":{"id":"1710.04305","kind":"arxiv","version":1}},"canonical_sha256":"375c84ddf7bb61ba098a4147992ffe8be0054bdc3d48005259026cb31609380e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"375c84ddf7bb61ba098a4147992ffe8be0054bdc3d48005259026cb31609380e","first_computed_at":"2026-05-18T00:33:01.427756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:01.427756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oxR8v5A/RUSfM73r1We1Mw+19lIv4gDblIo+zeK6JEtDFX9zNHuwg4skyb+OK/VBqGkuEmfnTMEnvlQqyK5bAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:01.428340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14b5ae02c44757f913f5f2ae7b83010463e65dd467ce7b86eb0af908db41f87e","sha256:16c900fa4486aa5ee8902a0bfb15259a73bc490c07973dfaa79441d71688879c"],"state_sha256":"f38fd78b38c742f4b324def64b6592e9d0a5f43a27ba2abcbaf8410df1f66c80"}