{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5QDRRCA7YCBF7J3TOKKK2BOREI","short_pith_number":"pith:5QDRRCA7","schema_version":"1.0","canonical_sha256":"ec0718881fc0825fa7737294ad05d1222448bfa4eacb45fd2bd832c1ee54ea06","source":{"kind":"arxiv","id":"1111.1706","version":5},"attestation_state":"computed","paper":{"title":"Transmission eigenvalues and the bare conductance in the crossover to Anderson localization","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"Azriel Z. Genack, Zhou Shi","submitted_at":"2011-11-07T20:54:30Z","abstract_excerpt":"We measure the field transmission matrix t for microwave radiation propagating through random waveguides in the crossover to Anderson localization. From these measurements, we determine the dimensionless conductance, g, and the individual eigenvalues $\\tau_n$ of the transmission matrix $tt^\\dagger$ whose sum equals g. In diffusive samples, the highest eigenvalue, $\\tau_1$, is close to unity corresponding to a transmission of nearly 100%, while for localized waves, the average of $\\tau_1$, is nearly equal to g. We find that the spacing between average values of $\\ln\\tau_n$ is constant and demon"},"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":"1111.1706","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-11-07T20:54:30Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"a600d57b042d188b6a97a2cc82d030d10154dfb251f1c84f86025d364fad6b2a","abstract_canon_sha256":"547facc1e49671d9b4838449a3286660815fe70d39f23796e925155148f4c4e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:13.372149Z","signature_b64":"IRgzvu6PCY9/m1nIXutIdjxpkTqxsLCUTbWf7ochSSbPT7Fuak32YoqplJPMU5wWLjt9ly4AUcg6gmjoOERFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec0718881fc0825fa7737294ad05d1222448bfa4eacb45fd2bd832c1ee54ea06","last_reissued_at":"2026-05-18T04:02:13.371369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:13.371369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transmission eigenvalues and the bare conductance in the crossover to Anderson localization","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"Azriel Z. Genack, Zhou Shi","submitted_at":"2011-11-07T20:54:30Z","abstract_excerpt":"We measure the field transmission matrix t for microwave radiation propagating through random waveguides in the crossover to Anderson localization. From these measurements, we determine the dimensionless conductance, g, and the individual eigenvalues $\\tau_n$ of the transmission matrix $tt^\\dagger$ whose sum equals g. In diffusive samples, the highest eigenvalue, $\\tau_1$, is close to unity corresponding to a transmission of nearly 100%, while for localized waves, the average of $\\tau_1$, is nearly equal to g. We find that the spacing between average values of $\\ln\\tau_n$ is constant and demon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1706","kind":"arxiv","version":5},"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":"1111.1706","created_at":"2026-05-18T04:02:13.371498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1706v5","created_at":"2026-05-18T04:02:13.371498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1706","created_at":"2026-05-18T04:02:13.371498+00:00"},{"alias_kind":"pith_short_12","alias_value":"5QDRRCA7YCBF","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5QDRRCA7YCBF7J3T","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5QDRRCA7","created_at":"2026-05-18T12:26:20.644004+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/5QDRRCA7YCBF7J3TOKKK2BOREI","json":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI.json","graph_json":"https://pith.science/api/pith-number/5QDRRCA7YCBF7J3TOKKK2BOREI/graph.json","events_json":"https://pith.science/api/pith-number/5QDRRCA7YCBF7J3TOKKK2BOREI/events.json","paper":"https://pith.science/paper/5QDRRCA7"},"agent_actions":{"view_html":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI","download_json":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI.json","view_paper":"https://pith.science/paper/5QDRRCA7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1706&json=true","fetch_graph":"https://pith.science/api/pith-number/5QDRRCA7YCBF7J3TOKKK2BOREI/graph.json","fetch_events":"https://pith.science/api/pith-number/5QDRRCA7YCBF7J3TOKKK2BOREI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI/action/storage_attestation","attest_author":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI/action/author_attestation","sign_citation":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI/action/citation_signature","submit_replication":"https://pith.science/pith/5QDRRCA7YCBF7J3TOKKK2BOREI/action/replication_record"}},"created_at":"2026-05-18T04:02:13.371498+00:00","updated_at":"2026-05-18T04:02:13.371498+00:00"}