{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:R4HODXR4RZGXR67TINYRBM4JGS","short_pith_number":"pith:R4HODXR4","schema_version":"1.0","canonical_sha256":"8f0ee1de3c8e4d78fbf3437110b38934906c898f168b402ec098fa02320996e9","source":{"kind":"arxiv","id":"2604.24789","version":2},"attestation_state":"computed","paper":{"title":"Conductance fluctuations in random resistor networks with hyperuniform disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bikram Pal","submitted_at":"2026-04-25T10:17:53Z","abstract_excerpt":"We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance, one may expect that in hyperuniform disorder, conductance fluctuations will also show suppressed fluctuations. We argue that this is not the case: conductance fluctuations scale as $L^{-d/2}$ for a sampling size $L$. We show numerical results fo"},"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":"2604.24789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-25T10:17:53Z","cross_cats_sorted":[],"title_canon_sha256":"e1fb2f89e5890bd23d3d72f06f274d19efabd4c98d8ea640b1b227c85e4c75e9","abstract_canon_sha256":"33667334e0b125da6dda61cc874d6c79abd9014235ec774c970788af5f24aab9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:26.267114Z","signature_b64":"EDDNwrbVJyRQytSXBerrTPz9Es36y6U5wnqu8ZmxvQGBWI0S5x4+OGmUXxw77DGKQh0cKeuX+U3/nASjeaDCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f0ee1de3c8e4d78fbf3437110b38934906c898f168b402ec098fa02320996e9","last_reissued_at":"2026-05-21T01:04:26.266420Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:26.266420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conductance fluctuations in random resistor networks with hyperuniform disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bikram Pal","submitted_at":"2026-04-25T10:17:53Z","abstract_excerpt":"We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance, one may expect that in hyperuniform disorder, conductance fluctuations will also show suppressed fluctuations. We argue that this is not the case: conductance fluctuations scale as $L^{-d/2}$ for a sampling size $L$. We show numerical results fo"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We argue that this is not the case: conductance fluctuations scale as L^{-d/2} for a sampling size L. We show numerical results for d=2.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Conductance fluctuations in hyperuniform resistor networks scale as L^{-d/2} and are not suppressed by the reduced density fluctuations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"63ed7866922d50f6af78dbc3d2968baf2e16800ca9661034aab5c84591935649"},"source":{"id":"2604.24789","kind":"arxiv","version":2},"verdict":{"id":"b1bfcd68-3a6f-42b4-8bb4-7c7cd8c3e200","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T07:02:05.035360Z","strongest_claim":"We argue that this is not the case: conductance fluctuations scale as L^{-d/2} for a sampling size L. We show numerical results for d=2.","one_line_summary":"Conductance fluctuations in hyperuniform resistor networks scale as L^{-d/2} and are not suppressed by the reduced density fluctuations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance.","pith_extraction_headline":"Conductance fluctuations in hyperuniform resistor networks scale as L to the power of minus d over 2, the same as in ordinary disorder."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.24789/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T23:23:19.265935Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"dceafea3b037efb9b81c6a34460a9aa46c5407ec2089d67070448a6b02af030e"},"references":{"count":31,"sample":[{"doi":"","year":1992,"title":"D. Stauffer and A. Aharony,Introduction To Percolation Theory: Second Edition, Taylor & Francis., (1992)","work_id":"","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2006,"title":"Bollob´ as and O","work_id":"","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"A. A. Saberi, Phys. Rep.578, 1 (2015)","work_id":"","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1971,"title":"S. Kirkpatrick,Phys. Rev. Lett.27, 1722 (1971)","work_id":"","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"G. Kirchhoff, Ann. Phys.148, 497 (1847)","work_id":"","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":0,"snapshot_sha256":"ca3e2a5ff1501daf69e69b80776ddda7e1bfb94e17f2c1330aa3be91fa493abc","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":"2604.24789","created_at":"2026-05-21T01:04:26.266507+00:00"},{"alias_kind":"arxiv_version","alias_value":"2604.24789v2","created_at":"2026-05-21T01:04:26.266507+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.24789","created_at":"2026-05-21T01:04:26.266507+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4HODXR4RZGX","created_at":"2026-05-21T01:04:26.266507+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4HODXR4RZGXR67T","created_at":"2026-05-21T01:04:26.266507+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4HODXR4","created_at":"2026-05-21T01:04:26.266507+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/R4HODXR4RZGXR67TINYRBM4JGS","json":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS.json","graph_json":"https://pith.science/api/pith-number/R4HODXR4RZGXR67TINYRBM4JGS/graph.json","events_json":"https://pith.science/api/pith-number/R4HODXR4RZGXR67TINYRBM4JGS/events.json","paper":"https://pith.science/paper/R4HODXR4"},"agent_actions":{"view_html":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS","download_json":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS.json","view_paper":"https://pith.science/paper/R4HODXR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2604.24789&json=true","fetch_graph":"https://pith.science/api/pith-number/R4HODXR4RZGXR67TINYRBM4JGS/graph.json","fetch_events":"https://pith.science/api/pith-number/R4HODXR4RZGXR67TINYRBM4JGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS/action/storage_attestation","attest_author":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS/action/author_attestation","sign_citation":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS/action/citation_signature","submit_replication":"https://pith.science/pith/R4HODXR4RZGXR67TINYRBM4JGS/action/replication_record"}},"created_at":"2026-05-21T01:04:26.266507+00:00","updated_at":"2026-05-21T01:04:26.266507+00:00"}