{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OC3QSJ2NICKYLUQQIV2Y64QQJ4","short_pith_number":"pith:OC3QSJ2N","schema_version":"1.0","canonical_sha256":"70b709274d409585d21045758f72104f1343887ee4277768792f966a9faa87d8","source":{"kind":"arxiv","id":"1509.08900","version":1},"attestation_state":"computed","paper":{"title":"Fisher's information for the position-dependent mass Schr\\\"odinger system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"B. J. Falaye, F. A. Serrano, Shi-Hai Dong","submitted_at":"2015-09-29T19:37:54Z","abstract_excerpt":"This study presents the Fisher information for the position-dependent mass Schr\\\"odinger equation with hyperbolical potential {$V(x)=-V_0{\\rm csch}^2(ax)$}. The analysis of the quantum-mechanical probability for the ground and exited states $(n=0, 1, 2)$ has been obtained via the Fisher's information. This controls both chemical and physical properties of some molecular systems. The Fisher information is considered only for $x>0$ due to the singular point at $x=0$. We found that Fisher-information-based uncertainty relation and the Cramer-Rao inequality holds. Some relevant numerical results a"},"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":"1509.08900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-29T19:37:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bc43a924b0d7678710d42b59ae049818bdf19f326b19d5666e9c208db4958fef","abstract_canon_sha256":"4afe549deb91545a01e8f60d674ab55e337946b430518696dcb587648a92e0de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:30.648014Z","signature_b64":"17waVq4sn9lOFq6HUK5dY2XenTc/J90+s+BHFIy18JtlUWK98PIn5ckq0f5k5E6Rt1VoAemdPx0TmiqBIt4mBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70b709274d409585d21045758f72104f1343887ee4277768792f966a9faa87d8","last_reissued_at":"2026-05-18T01:31:30.647535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:30.647535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fisher's information for the position-dependent mass Schr\\\"odinger system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"B. J. Falaye, F. A. Serrano, Shi-Hai Dong","submitted_at":"2015-09-29T19:37:54Z","abstract_excerpt":"This study presents the Fisher information for the position-dependent mass Schr\\\"odinger equation with hyperbolical potential {$V(x)=-V_0{\\rm csch}^2(ax)$}. The analysis of the quantum-mechanical probability for the ground and exited states $(n=0, 1, 2)$ has been obtained via the Fisher's information. This controls both chemical and physical properties of some molecular systems. The Fisher information is considered only for $x>0$ due to the singular point at $x=0$. We found that Fisher-information-based uncertainty relation and the Cramer-Rao inequality holds. Some relevant numerical results a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08900","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":"1509.08900","created_at":"2026-05-18T01:31:30.647604+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08900v1","created_at":"2026-05-18T01:31:30.647604+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08900","created_at":"2026-05-18T01:31:30.647604+00:00"},{"alias_kind":"pith_short_12","alias_value":"OC3QSJ2NICKY","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OC3QSJ2NICKYLUQQ","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OC3QSJ2N","created_at":"2026-05-18T12:29:34.919912+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/OC3QSJ2NICKYLUQQIV2Y64QQJ4","json":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4.json","graph_json":"https://pith.science/api/pith-number/OC3QSJ2NICKYLUQQIV2Y64QQJ4/graph.json","events_json":"https://pith.science/api/pith-number/OC3QSJ2NICKYLUQQIV2Y64QQJ4/events.json","paper":"https://pith.science/paper/OC3QSJ2N"},"agent_actions":{"view_html":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4","download_json":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4.json","view_paper":"https://pith.science/paper/OC3QSJ2N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08900&json=true","fetch_graph":"https://pith.science/api/pith-number/OC3QSJ2NICKYLUQQIV2Y64QQJ4/graph.json","fetch_events":"https://pith.science/api/pith-number/OC3QSJ2NICKYLUQQIV2Y64QQJ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4/action/storage_attestation","attest_author":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4/action/author_attestation","sign_citation":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4/action/citation_signature","submit_replication":"https://pith.science/pith/OC3QSJ2NICKYLUQQIV2Y64QQJ4/action/replication_record"}},"created_at":"2026-05-18T01:31:30.647604+00:00","updated_at":"2026-05-18T01:31:30.647604+00:00"}