{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GLKPGMO5DGZ5KIXZTLTTX7ZDUF","short_pith_number":"pith:GLKPGMO5","schema_version":"1.0","canonical_sha256":"32d4f331dd19b3d522f99ae73bff23a1544ef23e3fda2eb0474c508cf1b4ba01","source":{"kind":"arxiv","id":"1611.07598","version":5},"attestation_state":"computed","paper":{"title":"Single-Parameter Scaling and Maximum Entropy inside Disordered One-Dimensional Systems: Theory and Experiment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Azriel Z. Genack, Miztli Yepez, Pier A. Mello, Xiaojun Cheng, Xujun Ma","submitted_at":"2016-11-23T01:55:15Z","abstract_excerpt":"The single-parameter scaling hypothesis relating the average and variance of the logarithm of the conductance is a pillar of the theory of electronic transport. We use a maximum-entropy ansatz to explore the logarithm of the energy density, $\\ln {\\cal W}(x)$, at a depth $x$ into a random one-dimensional system. Single-parameter scaling would be the special case in which $x=L$ (the system length). We find the result, confirmed in microwave measurements and computer simulations, that the average of $\\ln {\\cal W}(x)$ is independent of $L$ and equal to $-x/\\ell$, with $\\ell$ the mean free path. At"},"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":"1611.07598","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-11-23T01:55:15Z","cross_cats_sorted":[],"title_canon_sha256":"daa5dc66162badb1a215d633aba055b4e328a8dc8355b3766b16ed47e0e0f656","abstract_canon_sha256":"bf7019685ed19810c357f04d75e1b47043bcb96dbb114bd30edded6f29c75a08"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:55.848976Z","signature_b64":"IchupbCGIbjHNkQ/z5rLBnLKQp3Ez77PxE7OSB5xeUB8O2s/B7dp6OnE6VdleHuTWTmw5s9Aj6J6mXHam83mAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32d4f331dd19b3d522f99ae73bff23a1544ef23e3fda2eb0474c508cf1b4ba01","last_reissued_at":"2026-05-18T00:29:55.848466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:55.848466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Single-Parameter Scaling and Maximum Entropy inside Disordered One-Dimensional Systems: Theory and Experiment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Azriel Z. Genack, Miztli Yepez, Pier A. Mello, Xiaojun Cheng, Xujun Ma","submitted_at":"2016-11-23T01:55:15Z","abstract_excerpt":"The single-parameter scaling hypothesis relating the average and variance of the logarithm of the conductance is a pillar of the theory of electronic transport. We use a maximum-entropy ansatz to explore the logarithm of the energy density, $\\ln {\\cal W}(x)$, at a depth $x$ into a random one-dimensional system. Single-parameter scaling would be the special case in which $x=L$ (the system length). We find the result, confirmed in microwave measurements and computer simulations, that the average of $\\ln {\\cal W}(x)$ is independent of $L$ and equal to $-x/\\ell$, with $\\ell$ the mean free path. At"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07598","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":"1611.07598","created_at":"2026-05-18T00:29:55.848533+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.07598v5","created_at":"2026-05-18T00:29:55.848533+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07598","created_at":"2026-05-18T00:29:55.848533+00:00"},{"alias_kind":"pith_short_12","alias_value":"GLKPGMO5DGZ5","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GLKPGMO5DGZ5KIXZ","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GLKPGMO5","created_at":"2026-05-18T12:30:19.053100+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/GLKPGMO5DGZ5KIXZTLTTX7ZDUF","json":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF.json","graph_json":"https://pith.science/api/pith-number/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/graph.json","events_json":"https://pith.science/api/pith-number/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/events.json","paper":"https://pith.science/paper/GLKPGMO5"},"agent_actions":{"view_html":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF","download_json":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF.json","view_paper":"https://pith.science/paper/GLKPGMO5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.07598&json=true","fetch_graph":"https://pith.science/api/pith-number/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/graph.json","fetch_events":"https://pith.science/api/pith-number/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/action/storage_attestation","attest_author":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/action/author_attestation","sign_citation":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/action/citation_signature","submit_replication":"https://pith.science/pith/GLKPGMO5DGZ5KIXZTLTTX7ZDUF/action/replication_record"}},"created_at":"2026-05-18T00:29:55.848533+00:00","updated_at":"2026-05-18T00:29:55.848533+00:00"}