{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:W4C5KSSVWOXUVS6KP4TB5OAVS4","short_pith_number":"pith:W4C5KSSV","schema_version":"1.0","canonical_sha256":"b705d54a55b3af4acbca7f261eb815970444c67057bc7213e55ddcfd291162c4","source":{"kind":"arxiv","id":"quant-ph/0004041","version":1},"attestation_state":"computed","paper":{"title":"Fibre bundle formulation of nonrelativistic quantum mechanics (full version)","license":"","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Bozhidar Z. Iliev (Institute for Nuclear Research, Bulgaria), Bulgarian Academy of Sciences, Nuclear Energy, Sofia","submitted_at":"2000-04-09T09:35:14Z","abstract_excerpt":"We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one and is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it the Hilbert space of a quantum system (from conventional quantum mechanics) is replaced with an appropriate Hilbert bundle of states and a pure state of the system is described by a lifting of paths or section along paths in this bundle. The evolution of a pure state is determined through the bundle (analogue of"},"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":"quant-ph/0004041","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-04-09T09:35:14Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"title_canon_sha256":"41999c0eb1c34fbad6ded34c991d8dc3c88de5609c1d7f84cd9812ff97976603","abstract_canon_sha256":"4d53c72376c6226d5d490287ba1ecbc30adc3d751f25da343dca694d89132b91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:45:27.873917Z","signature_b64":"wIs6rWbygv1wesRThufbNR2z7IpTPNZQrHBIpk1Dn87Q2voPz3SqtL7Tdb0FJnlq6fQZ2cBlu/iaDwaq4NAgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b705d54a55b3af4acbca7f261eb815970444c67057bc7213e55ddcfd291162c4","last_reissued_at":"2026-07-04T14:45:27.873574Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:45:27.873574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fibre bundle formulation of nonrelativistic quantum mechanics (full version)","license":"","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Bozhidar Z. Iliev (Institute for Nuclear Research, Bulgaria), Bulgarian Academy of Sciences, Nuclear Energy, Sofia","submitted_at":"2000-04-09T09:35:14Z","abstract_excerpt":"We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one and is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it the Hilbert space of a quantum system (from conventional quantum mechanics) is replaced with an appropriate Hilbert bundle of states and a pure state of the system is described by a lifting of paths or section along paths in this bundle. The evolution of a pure state is determined through the bundle (analogue of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0004041","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0004041/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"quant-ph/0004041","created_at":"2026-07-04T14:45:27.873625+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0004041v1","created_at":"2026-07-04T14:45:27.873625+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0004041","created_at":"2026-07-04T14:45:27.873625+00:00"},{"alias_kind":"pith_short_12","alias_value":"W4C5KSSVWOXU","created_at":"2026-07-04T14:45:27.873625+00:00"},{"alias_kind":"pith_short_16","alias_value":"W4C5KSSVWOXUVS6K","created_at":"2026-07-04T14:45:27.873625+00:00"},{"alias_kind":"pith_short_8","alias_value":"W4C5KSSV","created_at":"2026-07-04T14:45:27.873625+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/W4C5KSSVWOXUVS6KP4TB5OAVS4","json":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4.json","graph_json":"https://pith.science/api/pith-number/W4C5KSSVWOXUVS6KP4TB5OAVS4/graph.json","events_json":"https://pith.science/api/pith-number/W4C5KSSVWOXUVS6KP4TB5OAVS4/events.json","paper":"https://pith.science/paper/W4C5KSSV"},"agent_actions":{"view_html":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4","download_json":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4.json","view_paper":"https://pith.science/paper/W4C5KSSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0004041&json=true","fetch_graph":"https://pith.science/api/pith-number/W4C5KSSVWOXUVS6KP4TB5OAVS4/graph.json","fetch_events":"https://pith.science/api/pith-number/W4C5KSSVWOXUVS6KP4TB5OAVS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4/action/storage_attestation","attest_author":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4/action/author_attestation","sign_citation":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4/action/citation_signature","submit_replication":"https://pith.science/pith/W4C5KSSVWOXUVS6KP4TB5OAVS4/action/replication_record"}},"created_at":"2026-07-04T14:45:27.873625+00:00","updated_at":"2026-07-04T14:45:27.873625+00:00"}