{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UXGSMUQHNMHPUWXX2VQVO6J3WM","short_pith_number":"pith:UXGSMUQH","schema_version":"1.0","canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","source":{"kind":"arxiv","id":"1703.04472","version":2},"attestation_state":"computed","paper":{"title":"Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Boris Zhilinskii, Guillaume Dhont, Toshihiro Iwai","submitted_at":"2017-03-13T16:33:53Z","abstract_excerpt":"The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further study is made on the topological phase transition in the corresponding semi-quantum and completely classical models, and finally the joint spectrum of the two commuting observables $(H=E,J_z)$ (also called the lattice of quantum states) is superposed on the image of the energy-momentum map for the classical model. Through these comparative analyses, mutual correspondence is demo"},"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":"1703.04472","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2017-03-13T16:33:53Z","cross_cats_sorted":["math-ph","math.MP","physics.chem-ph"],"title_canon_sha256":"67be81f1e2c67218e212f721452b8c2b35190de140bb90b5f25785481bb15658","abstract_canon_sha256":"3a9491ff5414d09108ca647d319223ce863fc039a7a4d9ae365fc3bd7ed86ee4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:23.853278Z","signature_b64":"MunBlpchG/E5xfQyF1bu97Jr4Y0jEwMT8jry5tVapl50ImOZsHrKJlKD+As/RveOEx4uYBrdAUeu70EzY3BiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","last_reissued_at":"2026-05-18T00:40:23.852630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:23.852630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Boris Zhilinskii, Guillaume Dhont, Toshihiro Iwai","submitted_at":"2017-03-13T16:33:53Z","abstract_excerpt":"The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further study is made on the topological phase transition in the corresponding semi-quantum and completely classical models, and finally the joint spectrum of the two commuting observables $(H=E,J_z)$ (also called the lattice of quantum states) is superposed on the image of the energy-momentum map for the classical model. Through these comparative analyses, mutual correspondence is demo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04472","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.04472","created_at":"2026-05-18T00:40:23.852734+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04472v2","created_at":"2026-05-18T00:40:23.852734+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04472","created_at":"2026-05-18T00:40:23.852734+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXGSMUQHNMHP","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXGSMUQHNMHPUWXX","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXGSMUQH","created_at":"2026-05-18T12:31:49.984773+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/UXGSMUQHNMHPUWXX2VQVO6J3WM","json":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM.json","graph_json":"https://pith.science/api/pith-number/UXGSMUQHNMHPUWXX2VQVO6J3WM/graph.json","events_json":"https://pith.science/api/pith-number/UXGSMUQHNMHPUWXX2VQVO6J3WM/events.json","paper":"https://pith.science/paper/UXGSMUQH"},"agent_actions":{"view_html":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM","download_json":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM.json","view_paper":"https://pith.science/paper/UXGSMUQH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04472&json=true","fetch_graph":"https://pith.science/api/pith-number/UXGSMUQHNMHPUWXX2VQVO6J3WM/graph.json","fetch_events":"https://pith.science/api/pith-number/UXGSMUQHNMHPUWXX2VQVO6J3WM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/action/storage_attestation","attest_author":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/action/author_attestation","sign_citation":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/action/citation_signature","submit_replication":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/action/replication_record"}},"created_at":"2026-05-18T00:40:23.852734+00:00","updated_at":"2026-05-18T00:40:23.852734+00:00"}