{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:GLAO34OQ4BB6FBOA2PK4O675QM","short_pith_number":"pith:GLAO34OQ","schema_version":"1.0","canonical_sha256":"32c0edf1d0e043e285c0d3d5c77bfd832d81f94c502a2f4d64357f8efc4e8bc9","source":{"kind":"arxiv","id":"quant-ph/0205166","version":1},"attestation_state":"computed","paper":{"title":"Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Diederik Aerts, Frank Valckenborgh","submitted_at":"2002-05-26T18:52:18Z","abstract_excerpt":"We illustrate some problems that are related to the existence of an underlying linear structure at the level of the property lattice associated with a physical system, for the particular case of two explicitly separated spin 1/2 objects that are considered, and mathematically described, as one compound system. It is shown that the separated product of the property lattices corresponding with the two spin 1/2 objects does not have an underlying linear structure, although the property lattices associated with the subobjects in isolation manifestly do. This is related at a fundamental level to 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":"quant-ph/0205166","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-05-26T18:52:18Z","cross_cats_sorted":[],"title_canon_sha256":"f309d27ed1822b5e5dbd0ae9f0c2ed9808389fb95970ca14a6a59156e7175bb2","abstract_canon_sha256":"27b34e6ec0eee72009a3a0d54d52b5878a20c4a5273e5ee189d394fae24fa4a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:24.081469Z","signature_b64":"LVeJsYlXLT95X3TuBRBL0t5UdSAsHrd0Yh7geE+bDPQZMT2i2hMT0u035zX9RVa6a+tfNGP50u7naH5sb6eKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32c0edf1d0e043e285c0d3d5c77bfd832d81f94c502a2f4d64357f8efc4e8bc9","last_reissued_at":"2026-05-18T00:37:24.080759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:24.080759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Diederik Aerts, Frank Valckenborgh","submitted_at":"2002-05-26T18:52:18Z","abstract_excerpt":"We illustrate some problems that are related to the existence of an underlying linear structure at the level of the property lattice associated with a physical system, for the particular case of two explicitly separated spin 1/2 objects that are considered, and mathematically described, as one compound system. It is shown that the separated product of the property lattices corresponding with the two spin 1/2 objects does not have an underlying linear structure, although the property lattices associated with the subobjects in isolation manifestly do. This is related at a fundamental level to th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0205166","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":""},"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/0205166","created_at":"2026-05-18T00:37:24.080880+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0205166v1","created_at":"2026-05-18T00:37:24.080880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0205166","created_at":"2026-05-18T00:37:24.080880+00:00"},{"alias_kind":"pith_short_12","alias_value":"GLAO34OQ4BB6","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"GLAO34OQ4BB6FBOA","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"GLAO34OQ","created_at":"2026-05-18T12:25:50.845339+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/GLAO34OQ4BB6FBOA2PK4O675QM","json":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM.json","graph_json":"https://pith.science/api/pith-number/GLAO34OQ4BB6FBOA2PK4O675QM/graph.json","events_json":"https://pith.science/api/pith-number/GLAO34OQ4BB6FBOA2PK4O675QM/events.json","paper":"https://pith.science/paper/GLAO34OQ"},"agent_actions":{"view_html":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM","download_json":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM.json","view_paper":"https://pith.science/paper/GLAO34OQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0205166&json=true","fetch_graph":"https://pith.science/api/pith-number/GLAO34OQ4BB6FBOA2PK4O675QM/graph.json","fetch_events":"https://pith.science/api/pith-number/GLAO34OQ4BB6FBOA2PK4O675QM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM/action/storage_attestation","attest_author":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM/action/author_attestation","sign_citation":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM/action/citation_signature","submit_replication":"https://pith.science/pith/GLAO34OQ4BB6FBOA2PK4O675QM/action/replication_record"}},"created_at":"2026-05-18T00:37:24.080880+00:00","updated_at":"2026-05-18T00:37:24.080880+00:00"}