{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:4X4E5NYZ2YFVQ25CVGAXL6UZME","short_pith_number":"pith:4X4E5NYZ","schema_version":"1.0","canonical_sha256":"e5f84eb719d60b586ba2a98175fa99610e82c5a76f79eab909cb5d972dd9602d","source":{"kind":"arxiv","id":"0704.2765","version":2},"attestation_state":"computed","paper":{"title":"Entanglement of localized states","license":"","headline":"","cross_cats":["cond-mat.mes-hall","nlin.CD"],"primary_cat":"quant-ph","authors_text":"B. Georgeot, J. Martin, O. Giraud","submitted_at":"2007-04-20T18:01:04Z","abstract_excerpt":"We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed."},"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":"0704.2765","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-04-20T18:01:04Z","cross_cats_sorted":["cond-mat.mes-hall","nlin.CD"],"title_canon_sha256":"01a4f6a04700d8d7e6fb66931c5531fa38cd18dbc15257ff333877e6b6e12233","abstract_canon_sha256":"d9131da4360f7a6f66311884a2bcb43d105c1a0da061a27a269c283f5f26bd9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:24.018328Z","signature_b64":"Fq7pdHEZAhBzmG4nObjxAVsAf46lkunFvylVTlTixQL9M5l83FhH/3GpCnv0Ei0wA7lJT326vf3JC1RHcFckCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5f84eb719d60b586ba2a98175fa99610e82c5a76f79eab909cb5d972dd9602d","last_reissued_at":"2026-05-18T04:09:24.017845Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:24.017845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement of localized states","license":"","headline":"","cross_cats":["cond-mat.mes-hall","nlin.CD"],"primary_cat":"quant-ph","authors_text":"B. Georgeot, J. Martin, O. Giraud","submitted_at":"2007-04-20T18:01:04Z","abstract_excerpt":"We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.2765","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":"0704.2765","created_at":"2026-05-18T04:09:24.017894+00:00"},{"alias_kind":"arxiv_version","alias_value":"0704.2765v2","created_at":"2026-05-18T04:09:24.017894+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.2765","created_at":"2026-05-18T04:09:24.017894+00:00"},{"alias_kind":"pith_short_12","alias_value":"4X4E5NYZ2YFV","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"4X4E5NYZ2YFVQ25C","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"4X4E5NYZ","created_at":"2026-05-18T12:25:55.427421+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/4X4E5NYZ2YFVQ25CVGAXL6UZME","json":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME.json","graph_json":"https://pith.science/api/pith-number/4X4E5NYZ2YFVQ25CVGAXL6UZME/graph.json","events_json":"https://pith.science/api/pith-number/4X4E5NYZ2YFVQ25CVGAXL6UZME/events.json","paper":"https://pith.science/paper/4X4E5NYZ"},"agent_actions":{"view_html":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME","download_json":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME.json","view_paper":"https://pith.science/paper/4X4E5NYZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0704.2765&json=true","fetch_graph":"https://pith.science/api/pith-number/4X4E5NYZ2YFVQ25CVGAXL6UZME/graph.json","fetch_events":"https://pith.science/api/pith-number/4X4E5NYZ2YFVQ25CVGAXL6UZME/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME/action/storage_attestation","attest_author":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME/action/author_attestation","sign_citation":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME/action/citation_signature","submit_replication":"https://pith.science/pith/4X4E5NYZ2YFVQ25CVGAXL6UZME/action/replication_record"}},"created_at":"2026-05-18T04:09:24.017894+00:00","updated_at":"2026-05-18T04:09:24.017894+00:00"}