{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:RZQ2O5BMLBNFICM5OF46JVHKPP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"af94427be81bcb8420a6bd5b843427966899bbd2fd23a44c303d590bfdefb5d1","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-09-04T12:53:18Z","title_canon_sha256":"84d0bce3a02356514d4866748879efa86e1b81b4656363517c68e9300cb5cee7"},"schema_version":"1.0","source":{"id":"cond-mat/0209092","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209092","created_at":"2026-05-18T01:40:03Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209092v3","created_at":"2026-05-18T01:40:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209092","created_at":"2026-05-18T01:40:03Z"},{"alias_kind":"pith_short_12","alias_value":"RZQ2O5BMLBNF","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RZQ2O5BMLBNFICM5","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RZQ2O5BM","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:ff584ed7be6fb7b68a7dde58253a81155570eb97cb816dd86477ff1b8f427f96","target":"graph","created_at":"2026-05-18T01:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Using numerical simulations and analytical approximations we study a modified version of the two-dimensional lattice model [R. Piasecki,phys. stat. sol. (b) 209, 403 (1998)] for random pH:(1-p)L systems consisting of grains of high (low) conductivity for H-(L-)phase, respectively. The modification reduces a spectrum of model bond conductivities to the two pure ones and the mixed one. The latter value explicitly depends on the average concentration gamma(p) of the H-component per model cell. The effective conductivity as a function of content p of the H-phase in such systems can be modelled mak","authors_text":"R. Piasecki","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-09-04T12:53:18Z","title":"Effective conductivity in a lattice model for binary disordered media with complex distributions of grain sizes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209092","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c31327aeed9607104dbe2ef4311d9467e8906ed27def599a52ac51bfbdae63f9","target":"record","created_at":"2026-05-18T01:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"af94427be81bcb8420a6bd5b843427966899bbd2fd23a44c303d590bfdefb5d1","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-09-04T12:53:18Z","title_canon_sha256":"84d0bce3a02356514d4866748879efa86e1b81b4656363517c68e9300cb5cee7"},"schema_version":"1.0","source":{"id":"cond-mat/0209092","kind":"arxiv","version":3}},"canonical_sha256":"8e61a7742c585a54099d7179e4d4ea7bc5fcace1d914ee30798f0e4d1df6da63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e61a7742c585a54099d7179e4d4ea7bc5fcace1d914ee30798f0e4d1df6da63","first_computed_at":"2026-05-18T01:40:03.006939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:03.006939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"krZ+wHK7+QHpb1uv+2hU/9Voamn3zN0grRfuAUcbw7jZGCCZV7nWa9U75BTpuwwRZZyM+FepNd/rADOiWPhHAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:03.007635Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0209092","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c31327aeed9607104dbe2ef4311d9467e8906ed27def599a52ac51bfbdae63f9","sha256:ff584ed7be6fb7b68a7dde58253a81155570eb97cb816dd86477ff1b8f427f96"],"state_sha256":"4f210db2e73c603af2b47e748d5ad6868df03313919971f35d6a4c39e0850b0e"}