{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:IPDS3SDGJPLJ2WF7LRYSSGE2KS","short_pith_number":"pith:IPDS3SDG","schema_version":"1.0","canonical_sha256":"43c72dc8664bd69d58bf5c7129189a54ab38b9e3e995813cb6fcb7a12607dfa5","source":{"kind":"arxiv","id":"cond-mat/0008334","version":1},"attestation_state":"computed","paper":{"title":"Coarsened Lattice Spatial Disorder in the Thermodynamic Limit","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Czainski, R. Piasecki","submitted_at":"2000-08-23T16:09:12Z","abstract_excerpt":"In this Rapid Research Note the application of recently introduced [Physica A 277 (2000) 157] entropic measure S_Delta of spatial disorder for systems of finite-sized objects is presented. In the thermodynamic limit the critical behaviour of coarsened lattice model of random two-phase systems is illustrated for certain grain size distributions (GSDs) and chosen parameters. Also the changes of spatial disorder, quantified by S_Delta, between the limit GSDs clearly show that the topological equivalence of the two phases is broken."},"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":"cond-mat/0008334","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-08-23T16:09:12Z","cross_cats_sorted":[],"title_canon_sha256":"cf83e371477356e795c5185db953b48caa21fdab0f20b905848e6735267bc57e","abstract_canon_sha256":"ec35abb43ecdb980e7bdc018d8976314d8c1cff32152b0726cb5633d5779d3db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:17.154777Z","signature_b64":"f8YU0y4bQyxCHQVQSrnfddgGNrlMuyTEA0/8Rvg3/in9vq0IKJBfdcCYYQvYygx5W+muowJSkPkyv2LyYwlsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43c72dc8664bd69d58bf5c7129189a54ab38b9e3e995813cb6fcb7a12607dfa5","last_reissued_at":"2026-05-18T00:34:17.154049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:17.154049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coarsened Lattice Spatial Disorder in the Thermodynamic Limit","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Czainski, R. Piasecki","submitted_at":"2000-08-23T16:09:12Z","abstract_excerpt":"In this Rapid Research Note the application of recently introduced [Physica A 277 (2000) 157] entropic measure S_Delta of spatial disorder for systems of finite-sized objects is presented. In the thermodynamic limit the critical behaviour of coarsened lattice model of random two-phase systems is illustrated for certain grain size distributions (GSDs) and chosen parameters. Also the changes of spatial disorder, quantified by S_Delta, between the limit GSDs clearly show that the topological equivalence of the two phases is broken."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0008334","kind":"arxiv","version":1},"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":"cond-mat/0008334","created_at":"2026-05-18T00:34:17.154176+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0008334v1","created_at":"2026-05-18T00:34:17.154176+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0008334","created_at":"2026-05-18T00:34:17.154176+00:00"},{"alias_kind":"pith_short_12","alias_value":"IPDS3SDGJPLJ","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"IPDS3SDGJPLJ2WF7","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"IPDS3SDG","created_at":"2026-05-18T12:25:49.631198+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/IPDS3SDGJPLJ2WF7LRYSSGE2KS","json":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS.json","graph_json":"https://pith.science/api/pith-number/IPDS3SDGJPLJ2WF7LRYSSGE2KS/graph.json","events_json":"https://pith.science/api/pith-number/IPDS3SDGJPLJ2WF7LRYSSGE2KS/events.json","paper":"https://pith.science/paper/IPDS3SDG"},"agent_actions":{"view_html":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS","download_json":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS.json","view_paper":"https://pith.science/paper/IPDS3SDG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0008334&json=true","fetch_graph":"https://pith.science/api/pith-number/IPDS3SDGJPLJ2WF7LRYSSGE2KS/graph.json","fetch_events":"https://pith.science/api/pith-number/IPDS3SDGJPLJ2WF7LRYSSGE2KS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS/action/storage_attestation","attest_author":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS/action/author_attestation","sign_citation":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS/action/citation_signature","submit_replication":"https://pith.science/pith/IPDS3SDGJPLJ2WF7LRYSSGE2KS/action/replication_record"}},"created_at":"2026-05-18T00:34:17.154176+00:00","updated_at":"2026-05-18T00:34:17.154176+00:00"}