{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CHI2MSBCFRTYEBSUQGHB67QWTG","short_pith_number":"pith:CHI2MSBC","schema_version":"1.0","canonical_sha256":"11d1a648222c67820654818e1f7e16999a905f40b3abf736dc09eb937ef8d828","source":{"kind":"arxiv","id":"1508.05068","version":1},"attestation_state":"computed","paper":{"title":"Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Galina Starushenko, Simon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec","submitted_at":"2015-08-19T10:12:50Z","abstract_excerpt":"Effective conductivity of a 2D composite corresponding to the regular hexagonal arrangement of superconducting disks is expressed in the form of a long series in the volume fraction of ideally conducting disks. According to our calculations based on various re-summation techniques, both the threshold and critical index are obtained in good agreement with expected values. The critical amplitude is in the interval $(5.14,5.24)$ that is close to the theoretical estimation $5.18$. The next order (constant) term in the high concentration regime is calculated for the first time, and the best estimat"},"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":"1508.05068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-19T10:12:50Z","cross_cats_sorted":[],"title_canon_sha256":"da196ebfe10940cb6b988c8022a55c3afd48c75ae1686e3dd5db44d3e6af7707","abstract_canon_sha256":"1d27165a62eaaa5daa39305c5aa1b37a2397e7286c948b39676325ca3e285eed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:59.755414Z","signature_b64":"5PPaekEgHsNd6aM4CS8QH1y7wb0+0Qkh4RDCx7h+21SO9ra8N8/ArybIqcYPl6bgG1mwVwHYYd1jQWnSoHaiDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11d1a648222c67820654818e1f7e16999a905f40b3abf736dc09eb937ef8d828","last_reissued_at":"2026-05-18T01:34:59.754733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:59.754733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Galina Starushenko, Simon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec","submitted_at":"2015-08-19T10:12:50Z","abstract_excerpt":"Effective conductivity of a 2D composite corresponding to the regular hexagonal arrangement of superconducting disks is expressed in the form of a long series in the volume fraction of ideally conducting disks. According to our calculations based on various re-summation techniques, both the threshold and critical index are obtained in good agreement with expected values. The critical amplitude is in the interval $(5.14,5.24)$ that is close to the theoretical estimation $5.18$. The next order (constant) term in the high concentration regime is calculated for the first time, and the best estimat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05068","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":"1508.05068","created_at":"2026-05-18T01:34:59.754832+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.05068v1","created_at":"2026-05-18T01:34:59.754832+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05068","created_at":"2026-05-18T01:34:59.754832+00:00"},{"alias_kind":"pith_short_12","alias_value":"CHI2MSBCFRTY","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CHI2MSBCFRTYEBSU","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CHI2MSBC","created_at":"2026-05-18T12:29:14.074870+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/CHI2MSBCFRTYEBSUQGHB67QWTG","json":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG.json","graph_json":"https://pith.science/api/pith-number/CHI2MSBCFRTYEBSUQGHB67QWTG/graph.json","events_json":"https://pith.science/api/pith-number/CHI2MSBCFRTYEBSUQGHB67QWTG/events.json","paper":"https://pith.science/paper/CHI2MSBC"},"agent_actions":{"view_html":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG","download_json":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG.json","view_paper":"https://pith.science/paper/CHI2MSBC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.05068&json=true","fetch_graph":"https://pith.science/api/pith-number/CHI2MSBCFRTYEBSUQGHB67QWTG/graph.json","fetch_events":"https://pith.science/api/pith-number/CHI2MSBCFRTYEBSUQGHB67QWTG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG/action/storage_attestation","attest_author":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG/action/author_attestation","sign_citation":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG/action/citation_signature","submit_replication":"https://pith.science/pith/CHI2MSBCFRTYEBSUQGHB67QWTG/action/replication_record"}},"created_at":"2026-05-18T01:34:59.754832+00:00","updated_at":"2026-05-18T01:34:59.754832+00:00"}