{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CESVGXK3SY6DGUQF5WZPQBP2PT","short_pith_number":"pith:CESVGXK3","schema_version":"1.0","canonical_sha256":"1125535d5b963c335205edb2f805fa7cd41d9c5ea209a23cb8a393749cc3e149","source":{"kind":"arxiv","id":"1506.09193","version":3},"attestation_state":"computed","paper":{"title":"Molecular geometric phase from the exact electron-nuclear factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"physics.chem-ph","authors_text":"E. K. U. Gross, Falk Tandetzky, Ryan Requist","submitted_at":"2015-06-30T18:40:10Z","abstract_excerpt":"The Born-Oppenheimer electronic wavefunction $\\Phi_R^{BO}(r)$ picks up a topological phase factor $\\pm 1$, a special case of Berry phase, when it is transported around a conical intersection of two adiabatic potential energy surfaces in $R$-space. We show that this topological quantity reverts to a geometric quantity $e^{i\\gamma}$ if the geometric phase $\\gamma = \\oint \\mathrm{Im} \\langle \\Phi_R |\\nabla_{\\mu} \\Phi_R\\rangle \\cdot d\\mathbf{R}_{\\mu}$ is evaluated with the conditional electronic wavefunction $\\Phi_R(r)$ from the exact electron-nuclear factorization $\\Phi_R(r)\\chi(R)$ instead of th"},"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":"1506.09193","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-06-30T18:40:10Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"fa2cdc6c627dad83d02c955681d0345f5c6fd86b05ed5fb3606a285c78646e02","abstract_canon_sha256":"7eca8fdca0742ab49e7ba8592d3600eaffe3b12496a522c0baa33b58e3f8cf73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:11.647836Z","signature_b64":"R2O4+X/f7FicsOqJG6AqadiOhZEYZsNspLKHvD7fPgKCEtP7q1jVTRi0qPTilzKx1r6P9utk0snbG05OmP93Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1125535d5b963c335205edb2f805fa7cd41d9c5ea209a23cb8a393749cc3e149","last_reissued_at":"2026-05-18T01:17:11.647041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:11.647041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Molecular geometric phase from the exact electron-nuclear factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"physics.chem-ph","authors_text":"E. K. U. Gross, Falk Tandetzky, Ryan Requist","submitted_at":"2015-06-30T18:40:10Z","abstract_excerpt":"The Born-Oppenheimer electronic wavefunction $\\Phi_R^{BO}(r)$ picks up a topological phase factor $\\pm 1$, a special case of Berry phase, when it is transported around a conical intersection of two adiabatic potential energy surfaces in $R$-space. We show that this topological quantity reverts to a geometric quantity $e^{i\\gamma}$ if the geometric phase $\\gamma = \\oint \\mathrm{Im} \\langle \\Phi_R |\\nabla_{\\mu} \\Phi_R\\rangle \\cdot d\\mathbf{R}_{\\mu}$ is evaluated with the conditional electronic wavefunction $\\Phi_R(r)$ from the exact electron-nuclear factorization $\\Phi_R(r)\\chi(R)$ instead of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09193","kind":"arxiv","version":3},"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":"1506.09193","created_at":"2026-05-18T01:17:11.647174+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.09193v3","created_at":"2026-05-18T01:17:11.647174+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09193","created_at":"2026-05-18T01:17:11.647174+00:00"},{"alias_kind":"pith_short_12","alias_value":"CESVGXK3SY6D","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CESVGXK3SY6DGUQF","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CESVGXK3","created_at":"2026-05-18T12:29:14.074870+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/CESVGXK3SY6DGUQF5WZPQBP2PT","json":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT.json","graph_json":"https://pith.science/api/pith-number/CESVGXK3SY6DGUQF5WZPQBP2PT/graph.json","events_json":"https://pith.science/api/pith-number/CESVGXK3SY6DGUQF5WZPQBP2PT/events.json","paper":"https://pith.science/paper/CESVGXK3"},"agent_actions":{"view_html":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT","download_json":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT.json","view_paper":"https://pith.science/paper/CESVGXK3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.09193&json=true","fetch_graph":"https://pith.science/api/pith-number/CESVGXK3SY6DGUQF5WZPQBP2PT/graph.json","fetch_events":"https://pith.science/api/pith-number/CESVGXK3SY6DGUQF5WZPQBP2PT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT/action/storage_attestation","attest_author":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT/action/author_attestation","sign_citation":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT/action/citation_signature","submit_replication":"https://pith.science/pith/CESVGXK3SY6DGUQF5WZPQBP2PT/action/replication_record"}},"created_at":"2026-05-18T01:17:11.647174+00:00","updated_at":"2026-05-18T01:17:11.647174+00:00"}