{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PAJS53OS3ZXYI5CBZB3T5KZUUC","short_pith_number":"pith:PAJS53OS","schema_version":"1.0","canonical_sha256":"78132eedd2de6f847441c8773eab34a091a71cab67e6b79947e1da150eafcf60","source":{"kind":"arxiv","id":"1112.2418","version":3},"attestation_state":"computed","paper":{"title":"The Berry Phase for Simple Harmonic Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sergei K. Suslov","submitted_at":"2011-12-12T01:05:16Z","abstract_excerpt":"We evaluate the Berry phase for a \"missing\" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action of the maximal kinematical invariance group on the standard solutions. A simple closed formula for the phase (in terms of elementary functions) is found by integration with the help of a computer algebra system."},"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":"1112.2418","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-12T01:05:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a483ce025dc8e9316f60c12482e4d40ee366bdab07e8144db4f34a5b92d02396","abstract_canon_sha256":"c794a8e9fb5124a09165f62e84a8dfb50fc47d6d89a46cabad3f6d552ec4d7b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:39.806222Z","signature_b64":"Q1ebDBt/EAy156tdES3Z3+S8oyucP3z13hJFyAQQD2ALRjIPM/z2mJnZd3s8ur3DE7gXOvZz2T/xvbtMcQMkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78132eedd2de6f847441c8773eab34a091a71cab67e6b79947e1da150eafcf60","last_reissued_at":"2026-05-18T03:59:39.805542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:39.805542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Berry Phase for Simple Harmonic Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sergei K. Suslov","submitted_at":"2011-12-12T01:05:16Z","abstract_excerpt":"We evaluate the Berry phase for a \"missing\" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action of the maximal kinematical invariance group on the standard solutions. A simple closed formula for the phase (in terms of elementary functions) is found by integration with the help of a computer algebra system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2418","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":"1112.2418","created_at":"2026-05-18T03:59:39.805654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2418v3","created_at":"2026-05-18T03:59:39.805654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2418","created_at":"2026-05-18T03:59:39.805654+00:00"},{"alias_kind":"pith_short_12","alias_value":"PAJS53OS3ZXY","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PAJS53OS3ZXYI5CB","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PAJS53OS","created_at":"2026-05-18T12:26:39.201973+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/PAJS53OS3ZXYI5CBZB3T5KZUUC","json":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC.json","graph_json":"https://pith.science/api/pith-number/PAJS53OS3ZXYI5CBZB3T5KZUUC/graph.json","events_json":"https://pith.science/api/pith-number/PAJS53OS3ZXYI5CBZB3T5KZUUC/events.json","paper":"https://pith.science/paper/PAJS53OS"},"agent_actions":{"view_html":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC","download_json":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC.json","view_paper":"https://pith.science/paper/PAJS53OS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2418&json=true","fetch_graph":"https://pith.science/api/pith-number/PAJS53OS3ZXYI5CBZB3T5KZUUC/graph.json","fetch_events":"https://pith.science/api/pith-number/PAJS53OS3ZXYI5CBZB3T5KZUUC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC/action/storage_attestation","attest_author":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC/action/author_attestation","sign_citation":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC/action/citation_signature","submit_replication":"https://pith.science/pith/PAJS53OS3ZXYI5CBZB3T5KZUUC/action/replication_record"}},"created_at":"2026-05-18T03:59:39.805654+00:00","updated_at":"2026-05-18T03:59:39.805654+00:00"}