{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PWPWUZ7OLYGVOUW5LPEX5ZEIAQ","short_pith_number":"pith:PWPWUZ7O","canonical_record":{"source":{"id":"1205.0941","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-05-04T12:51:51Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"22dc00324e69de20b414ff7564220a1f96bdff14c06ffa915ffacd6ca8497f0d","abstract_canon_sha256":"aba9f0a8ef83468f66fd6e07b0fb6c9bcd86b5bd2124682a8b7f4f1c2c90565d"},"schema_version":"1.0"},"canonical_sha256":"7d9f6a67ee5e0d5752dd5bc97ee488041c237eb20b9bde0a1a2d8b36ae3d4218","source":{"kind":"arxiv","id":"1205.0941","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0941","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0941v2","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0941","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"pith_short_12","alias_value":"PWPWUZ7OLYGV","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PWPWUZ7OLYGVOUW5","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PWPWUZ7O","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PWPWUZ7OLYGVOUW5LPEX5ZEIAQ","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0941","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-05-04T12:51:51Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"22dc00324e69de20b414ff7564220a1f96bdff14c06ffa915ffacd6ca8497f0d","abstract_canon_sha256":"aba9f0a8ef83468f66fd6e07b0fb6c9bcd86b5bd2124682a8b7f4f1c2c90565d"},"schema_version":"1.0"},"canonical_sha256":"7d9f6a67ee5e0d5752dd5bc97ee488041c237eb20b9bde0a1a2d8b36ae3d4218","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:03.668691Z","signature_b64":"fOU2sJBngoMEjPwbWBL15OLqpL0b+SJ8v7CYAihjxwhOfBVpBHF0YAEBffPt584QnD8ExCPnjK/JjYqY0JbrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d9f6a67ee5e0d5752dd5bc97ee488041c237eb20b9bde0a1a2d8b36ae3d4218","last_reissued_at":"2026-05-18T03:39:03.668212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:03.668212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0941","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KS19loAsa5AaQTaS1ZnVeS3Ju/eD6dTPbsmzPylJPFsmtE3RxmcaghbOuVNLSacKOZd0zLXaXEkSw2Mq7bB9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:52:43.069832Z"},"content_sha256":"c999cf325097fa4cb2b877423cc144652a11d5245d9c56a3afcb64ac9e1f8d6c","schema_version":"1.0","event_id":"sha256:c999cf325097fa4cb2b877423cc144652a11d5245d9c56a3afcb64ac9e1f8d6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PWPWUZ7OLYGVOUW5LPEX5ZEIAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximate L-State Solution of the Rotating Trigonometric P\\\"oschl-Teller Potential","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2012-05-04T12:51:51Z","abstract_excerpt":"The trigonometric P\\\"oschl-Teller (PT) potential describes the diatomic molecular vibration. We have obtained the approximate solutions of the radial Schr\\\"odinger equation (SE) for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary -states in closed form. In the low screening region, when the screening parameter the potential reduces to Kratzer potential. Further, some numerical results are presented for several diatomic molecules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0941","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"igsc31FWwYFa3YEbcK56jz/eIMGqYsSiGaF4d6cMH/YokJyLa3zKiXo71WV+zX/ibSYtynzILC+sbbrjwev+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:52:43.070188Z"},"content_sha256":"5f80fc52fd06fa77741d6af24fa56a781d6d632870f2fc07e5cf0eaf4be944ae","schema_version":"1.0","event_id":"sha256:5f80fc52fd06fa77741d6af24fa56a781d6d632870f2fc07e5cf0eaf4be944ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/bundle.json","state_url":"https://pith.science/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-01T07:52:43Z","links":{"resolver":"https://pith.science/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ","bundle":"https://pith.science/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/bundle.json","state":"https://pith.science/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWPWUZ7OLYGVOUW5LPEX5ZEIAQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PWPWUZ7OLYGVOUW5LPEX5ZEIAQ","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":"aba9f0a8ef83468f66fd6e07b0fb6c9bcd86b5bd2124682a8b7f4f1c2c90565d","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-05-04T12:51:51Z","title_canon_sha256":"22dc00324e69de20b414ff7564220a1f96bdff14c06ffa915ffacd6ca8497f0d"},"schema_version":"1.0","source":{"id":"1205.0941","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0941","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0941v2","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0941","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"pith_short_12","alias_value":"PWPWUZ7OLYGV","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PWPWUZ7OLYGVOUW5","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PWPWUZ7O","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:5f80fc52fd06fa77741d6af24fa56a781d6d632870f2fc07e5cf0eaf4be944ae","target":"graph","created_at":"2026-05-18T03:39:03Z","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":"The trigonometric P\\\"oschl-Teller (PT) potential describes the diatomic molecular vibration. We have obtained the approximate solutions of the radial Schr\\\"odinger equation (SE) for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary -states in closed form. In the low screening region, when the screening parameter the potential reduces to Kratzer potential. Further, some numerical results are presented for several diatomic molecules.","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-05-04T12:51:51Z","title":"Approximate L-State Solution of the Rotating Trigonometric P\\\"oschl-Teller Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0941","kind":"arxiv","version":2},"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:c999cf325097fa4cb2b877423cc144652a11d5245d9c56a3afcb64ac9e1f8d6c","target":"record","created_at":"2026-05-18T03:39:03Z","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":"aba9f0a8ef83468f66fd6e07b0fb6c9bcd86b5bd2124682a8b7f4f1c2c90565d","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-05-04T12:51:51Z","title_canon_sha256":"22dc00324e69de20b414ff7564220a1f96bdff14c06ffa915ffacd6ca8497f0d"},"schema_version":"1.0","source":{"id":"1205.0941","kind":"arxiv","version":2}},"canonical_sha256":"7d9f6a67ee5e0d5752dd5bc97ee488041c237eb20b9bde0a1a2d8b36ae3d4218","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d9f6a67ee5e0d5752dd5bc97ee488041c237eb20b9bde0a1a2d8b36ae3d4218","first_computed_at":"2026-05-18T03:39:03.668212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:03.668212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fOU2sJBngoMEjPwbWBL15OLqpL0b+SJ8v7CYAihjxwhOfBVpBHF0YAEBffPt584QnD8ExCPnjK/JjYqY0JbrCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:03.668691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0941","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c999cf325097fa4cb2b877423cc144652a11d5245d9c56a3afcb64ac9e1f8d6c","sha256:5f80fc52fd06fa77741d6af24fa56a781d6d632870f2fc07e5cf0eaf4be944ae"],"state_sha256":"f85071821862eb7f3803ca8575b09dc78f39f23b262eb76c83bb0c2ba4dccf04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z/iRu3aZ+qUyfytuArD5Y0RdsHYqgO+nSeGUm/Vy9Gk2HPpQ35Vs7sCCPbVfV0pCXvJsZ4Yd6wYYKtPSiNJECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T07:52:43.072548Z","bundle_sha256":"3103ba8de40b14fd4f75da473765a40362b26839575c17e10fffc1ce2381c768"}}