{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X32IIOQE2IPQULKRNVW277QHKB","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":"a17d2d64b3c09e4fa53313ff4d639962b6b2323c1d35f9d701c6e45f3683c7e0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-25T14:13:24Z","title_canon_sha256":"72b95fc84f55cb3b4f72829f0d12e5fd0cebb9fa2c8d5ae850317e690969aa4f"},"schema_version":"1.0","source":{"id":"1409.7264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7264","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7264v1","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7264","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"X32IIOQE2IPQ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X32IIOQE2IPQULKR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X32IIOQE","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:e21272a7bc3fbea237325805a0b63f445b0465c4b465b0edd40ca20dabd4c416","target":"graph","created_at":"2026-05-18T02:41:58Z","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 study, we obtained the position-momentum uncertainties and some uncertainty relations for the P\\\"oschl-Teller-type potential for any $\\ell$. The radial expectation values of $r^{-2}$, $r^{2}$ and $p^{2}$ are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-based uncertainty relation and the Cramer-Rao inequality hold for this even power potential. Some numerical and graphical results are displayed.","authors_text":"K.D. Sen, K.J. Oyewumi, W. A. Yahya","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-25T14:13:24Z","title":"Quantum Information Entropies for the $\\ell$-state P\\\"oschl-Teller-type potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7264","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":"sha256:27df00387b626ff238926b23aa152d0d47119208cc5cac9954f9388d24d816e7","target":"record","created_at":"2026-05-18T02:41:58Z","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":"a17d2d64b3c09e4fa53313ff4d639962b6b2323c1d35f9d701c6e45f3683c7e0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-25T14:13:24Z","title_canon_sha256":"72b95fc84f55cb3b4f72829f0d12e5fd0cebb9fa2c8d5ae850317e690969aa4f"},"schema_version":"1.0","source":{"id":"1409.7264","kind":"arxiv","version":1}},"canonical_sha256":"bef4843a04d21f0a2d516d6daffe07505ba6b7c6c9c4bc18a4ce165cc1c6c1e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bef4843a04d21f0a2d516d6daffe07505ba6b7c6c9c4bc18a4ce165cc1c6c1e1","first_computed_at":"2026-05-18T02:41:58.790222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:58.790222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fyhPfw10wi1r5XEC/hX9rw5tPF1i5rML7l4/0YkX4UqsqIv+hY6MD5oAz9LXxi79qBzVxkGq9GRfy36a7wjUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:58.790661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27df00387b626ff238926b23aa152d0d47119208cc5cac9954f9388d24d816e7","sha256:e21272a7bc3fbea237325805a0b63f445b0465c4b465b0edd40ca20dabd4c416"],"state_sha256":"b92f8fd5a380891a9e29104aa0e42124cc17faa95d8e9442fa0786b18b2f042c"}