{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KAR57PHNIDNTTRLAJIM4656OVL","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":"57c785c02f03f8f7a97590b209d1924ae55081007b288c9c82826d5dd9b7c38f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-03-29T10:38:03Z","title_canon_sha256":"624e5814500b2c0f9d960140ed510bd1417fd5d106cb3fb4c1df04519a2794c9"},"schema_version":"1.0","source":{"id":"1503.09091","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.09091","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.09091v2","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.09091","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"KAR57PHNIDNT","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KAR57PHNIDNTTRLA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KAR57PHN","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:f0c31dc2c263141115c46669b682e8725cc730262cc9c333004d14a38e78b17c","target":"graph","created_at":"2026-05-18T02:18:51Z","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":"Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schr\\\"odinger equation with two solvable quantum molecular systems-Tietz-Wei and shifted Deng-Fan potential models for their approximate nonrelativistic energy states via an appropriate appro","authors_text":"Babatunde J. Falaye, Majid Hamzavi, Sameer M. Ikhdair","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-03-29T10:38:03Z","title":"Spectroscopic study of some diatomic molecules via the proper quantization rule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.09091","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:a7e51183edc18f216d59d8dcc96147022a925157083a549527279b6736ebb3c1","target":"record","created_at":"2026-05-18T02:18:51Z","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":"57c785c02f03f8f7a97590b209d1924ae55081007b288c9c82826d5dd9b7c38f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-03-29T10:38:03Z","title_canon_sha256":"624e5814500b2c0f9d960140ed510bd1417fd5d106cb3fb4c1df04519a2794c9"},"schema_version":"1.0","source":{"id":"1503.09091","kind":"arxiv","version":2}},"canonical_sha256":"5023dfbced40db39c5604a19cf77ceaaefe4e7cb033a5953ed07861ae7264eee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5023dfbced40db39c5604a19cf77ceaaefe4e7cb033a5953ed07861ae7264eee","first_computed_at":"2026-05-18T02:18:51.046653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:51.046653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmRsgbewvbAHR1vVlHrBNLGRCrGPGxtEOfvWdjwBPosdDdQtUaPXOwZmcJkRBUAXSQ7U2Cu9Vsq6e1RZjtR6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:51.047108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.09091","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7e51183edc18f216d59d8dcc96147022a925157083a549527279b6736ebb3c1","sha256:f0c31dc2c263141115c46669b682e8725cc730262cc9c333004d14a38e78b17c"],"state_sha256":"78f1b0d98ac9cd2d11adf16835011a9d314159e0128edb415cb838b4957a1e56"}