{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GJWU3PDWDOKFQKHVWC4HXYZATX","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":"6eb6f6eddf4846d81e5ec2bc1b311d9fb96a9f75688cc4f783b86a6839de6b27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-17T17:46:37Z","title_canon_sha256":"d98bdf2e74fda9ead6254064f18534fcf888eba7fb1e06b30e4468874d3f509f"},"schema_version":"1.0","source":{"id":"1409.5086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5086","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5086v1","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5086","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"GJWU3PDWDOKF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GJWU3PDWDOKFQKHV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GJWU3PDW","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:30ab62aec20f23d457c469d1ea6eb884bd01459204c1649f4147db3e13f6ea9e","target":"graph","created_at":"2026-05-18T02:42:37Z","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":"We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schr\\\"odinger equation for a bound-state problem. The method is illustrated on the example of a three-dimensional isotropic quantum anharmonic oscillator with additive cubic or quartic anharmonicity. Approximate energy eigenvalues are obtained and convergence of the method is discussed.","authors_text":"Andrej Babi\\v{c}, Vladimir B. Belyaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-17T17:46:37Z","title":"Solving the Schr\\\"odinger Equation with Power Anharmonicity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5086","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":"sha256:00081d0fc8de2bc37246bfe12b496cb1430911dbbb7f04d82120f74478a2f8f8","target":"record","created_at":"2026-05-18T02:42:37Z","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":"6eb6f6eddf4846d81e5ec2bc1b311d9fb96a9f75688cc4f783b86a6839de6b27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-17T17:46:37Z","title_canon_sha256":"d98bdf2e74fda9ead6254064f18534fcf888eba7fb1e06b30e4468874d3f509f"},"schema_version":"1.0","source":{"id":"1409.5086","kind":"arxiv","version":1}},"canonical_sha256":"326d4dbc761b945828f5b0b87be3209ddf002f0e933e437aeb7d299e3cca5670","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326d4dbc761b945828f5b0b87be3209ddf002f0e933e437aeb7d299e3cca5670","first_computed_at":"2026-05-18T02:42:37.890970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:37.890970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ikZuz2yeVmkce5xi6h5fuq7VxYDKiWq2hBLK7cdGP0UozWOjDsx3GPg1XWZhHpKbcQEQ42oNlgY9yiAG0NvWDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:37.891501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00081d0fc8de2bc37246bfe12b496cb1430911dbbb7f04d82120f74478a2f8f8","sha256:30ab62aec20f23d457c469d1ea6eb884bd01459204c1649f4147db3e13f6ea9e"],"state_sha256":"da1d36274c30c7d5544ad8858972ef62ffb8f379ecd2372f5a800c5b021653a5"}