{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BLMF5EKM2HU2JFZOU4WXPVYIUI","short_pith_number":"pith:BLMF5EKM","schema_version":"1.0","canonical_sha256":"0ad85e914cd1e9a4972ea72d77d708a22781444a8ceeb2236564abe87cb01af8","source":{"kind":"arxiv","id":"1302.1628","version":2},"attestation_state":"computed","paper":{"title":"Hydrogen atom as a quantum-classical hybrid system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Biao Wu, Fei Zhan","submitted_at":"2013-02-07T02:00:53Z","abstract_excerpt":"Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen atom; the resulting dynamics for the electron and the proton is compared to their full quantum dynamics. The electron dynamics in the hybrid description is found to be only marginally different from its full quantum counterpart. The situation is very different for the proton: in the hybrid description, the proton behaves like a free particle; in the fully quan"},"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":"1302.1628","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-07T02:00:53Z","cross_cats_sorted":[],"title_canon_sha256":"d5ca51f017da88a0484ae0e2695c2a7a5499f25838959ec6a3f91bcc50c0de35","abstract_canon_sha256":"2ffe19be1bbe5610e4a8a8fe709c6bf0394a8782908689befcb9eba7dde26185"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:34.975465Z","signature_b64":"vGAbJYUOPpIaBm0wL3i6lM08t+KJkrMJDKAgaKefn53Y/R4uVrNwC3K8EMPMuStXWcLDQuq26nAnghy0OrLgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ad85e914cd1e9a4972ea72d77d708a22781444a8ceeb2236564abe87cb01af8","last_reissued_at":"2026-05-18T03:12:34.974630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:34.974630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hydrogen atom as a quantum-classical hybrid system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Biao Wu, Fei Zhan","submitted_at":"2013-02-07T02:00:53Z","abstract_excerpt":"Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen atom; the resulting dynamics for the electron and the proton is compared to their full quantum dynamics. The electron dynamics in the hybrid description is found to be only marginally different from its full quantum counterpart. The situation is very different for the proton: in the hybrid description, the proton behaves like a free particle; in the fully quan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1628","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":"1302.1628","created_at":"2026-05-18T03:12:34.974766+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.1628v2","created_at":"2026-05-18T03:12:34.974766+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1628","created_at":"2026-05-18T03:12:34.974766+00:00"},{"alias_kind":"pith_short_12","alias_value":"BLMF5EKM2HU2","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"BLMF5EKM2HU2JFZO","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"BLMF5EKM","created_at":"2026-05-18T12:27:38.830355+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/BLMF5EKM2HU2JFZOU4WXPVYIUI","json":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI.json","graph_json":"https://pith.science/api/pith-number/BLMF5EKM2HU2JFZOU4WXPVYIUI/graph.json","events_json":"https://pith.science/api/pith-number/BLMF5EKM2HU2JFZOU4WXPVYIUI/events.json","paper":"https://pith.science/paper/BLMF5EKM"},"agent_actions":{"view_html":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI","download_json":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI.json","view_paper":"https://pith.science/paper/BLMF5EKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.1628&json=true","fetch_graph":"https://pith.science/api/pith-number/BLMF5EKM2HU2JFZOU4WXPVYIUI/graph.json","fetch_events":"https://pith.science/api/pith-number/BLMF5EKM2HU2JFZOU4WXPVYIUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI/action/storage_attestation","attest_author":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI/action/author_attestation","sign_citation":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI/action/citation_signature","submit_replication":"https://pith.science/pith/BLMF5EKM2HU2JFZOU4WXPVYIUI/action/replication_record"}},"created_at":"2026-05-18T03:12:34.974766+00:00","updated_at":"2026-05-18T03:12:34.974766+00:00"}