{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UXGSMUQHNMHPUWXX2VQVO6J3WM","short_pith_number":"pith:UXGSMUQH","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"},"canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","source":{"kind":"arxiv","id":"1703.04472","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04472","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04472v2","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04472","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"UXGSMUQHNMHP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UXGSMUQHNMHPUWXX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UXGSMUQH","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UXGSMUQHNMHPUWXX2VQVO6J3WM","target":"record","payload":{"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"},"canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","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"},"source_kind":"arxiv","source_id":"1703.04472","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":"2026-05-18T00:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tkIzu4X7cJRkYMW/z5/35XgrMLIClV2DqFz+l+bWfosqkU3l6RaNQoESR+MOvDFuz2bLGFMH1ekEY9ibRKlCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T16:08:20.349711Z"},"content_sha256":"735cf44ad57f0648be5e8861404e1949c6420505dbbbda5de4cd840df5a8a4bc","schema_version":"1.0","event_id":"sha256:735cf44ad57f0648be5e8861404e1949c6420505dbbbda5de4cd840df5a8a4bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UXGSMUQHNMHPUWXX2VQVO6J3WM","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+4v6BPtP/yOkKfA8rZY6nMavM8jt3yPrwHIhtcMA+Fwt9mVMsibfZJtufEZEnj294gTWbMRipbRh86Y+eWbFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T16:08:20.350055Z"},"content_sha256":"bd3b593a387a02aec65221202f89b2c5ee91d1e03dc4b604ca876a0261f390ae","schema_version":"1.0","event_id":"sha256:bd3b593a387a02aec65221202f89b2c5ee91d1e03dc4b604ca876a0261f390ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/bundle.json","state_url":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/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":"2026-06-21T16:08:20Z","links":{"resolver":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM","bundle":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/bundle.json","state":"https://pith.science/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UXGSMUQHNMHPUWXX2VQVO6J3WM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UXGSMUQHNMHPUWXX2VQVO6J3WM","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":"3a9491ff5414d09108ca647d319223ce863fc039a7a4d9ae365fc3bd7ed86ee4","cross_cats_sorted":["math-ph","math.MP","physics.chem-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2017-03-13T16:33:53Z","title_canon_sha256":"67be81f1e2c67218e212f721452b8c2b35190de140bb90b5f25785481bb15658"},"schema_version":"1.0","source":{"id":"1703.04472","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04472","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04472v2","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04472","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"UXGSMUQHNMHP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UXGSMUQHNMHPUWXX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UXGSMUQH","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:bd3b593a387a02aec65221202f89b2c5ee91d1e03dc4b604ca876a0261f390ae","target":"graph","created_at":"2026-05-18T00:40:23Z","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 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","authors_text":"Boris Zhilinskii, Guillaume Dhont, Toshihiro Iwai","cross_cats":["math-ph","math.MP","physics.chem-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2017-03-13T16:33:53Z","title":"Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04472","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":"sha256:735cf44ad57f0648be5e8861404e1949c6420505dbbbda5de4cd840df5a8a4bc","target":"record","created_at":"2026-05-18T00:40:23Z","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":"3a9491ff5414d09108ca647d319223ce863fc039a7a4d9ae365fc3bd7ed86ee4","cross_cats_sorted":["math-ph","math.MP","physics.chem-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2017-03-13T16:33:53Z","title_canon_sha256":"67be81f1e2c67218e212f721452b8c2b35190de140bb90b5f25785481bb15658"},"schema_version":"1.0","source":{"id":"1703.04472","kind":"arxiv","version":2}},"canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5cd2652076b0efa5af7d56157793bb3006808bd20e2be8576d45154a8baf3cb","first_computed_at":"2026-05-18T00:40:23.852630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:23.852630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MunBlpchG/E5xfQyF1bu97Jr4Y0jEwMT8jry5tVapl50ImOZsHrKJlKD+As/RveOEx4uYBrdAUeu70EzY3BiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:23.853278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04472","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:735cf44ad57f0648be5e8861404e1949c6420505dbbbda5de4cd840df5a8a4bc","sha256:bd3b593a387a02aec65221202f89b2c5ee91d1e03dc4b604ca876a0261f390ae"],"state_sha256":"b88517b35d30bedf10aa0e99fd494f9bf9b0b69b8c46ca7874929b3389384d8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DcijKylK5P10p9ko+QM4PJAkNdm+v5W+yoZt0tW6WsJH8/8BVJvU1rBr91jlCinEhPOendOZW9a6oxQvq1v6Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T16:08:20.352036Z","bundle_sha256":"9c9662f53e1907530513dec755e57abd4b077c64ffbb103959c806d86d299e37"}}