{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PMIJZXKIUV64MG7RASEKSIX5ER","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":"32d12b50c414b75baf2a9ef847eb81a5bb9a1ceccbccafa8c4f1ca41e9e43bb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-01-21T12:21:56Z","title_canon_sha256":"e4fb401bf67e917eece106bf5b781e4751426e3380531faaf0f3a13613c680f6"},"schema_version":"1.0","source":{"id":"1101.4121","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4121","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4121v3","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4121","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"PMIJZXKIUV64","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PMIJZXKIUV64MG7R","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PMIJZXKI","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:6b858acbc3aeb9261f2d8de0a3410b3f99f20403c460a45cbb45648a0798d219","target":"graph","created_at":"2026-05-18T04:16:12Z","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":"The purpose of this paper is to present a simple micromechanics-based model to estimate the effective thermal conductivity of real-world macroscopically isotropic materials of matrix-inclusion type. The methodology is based on the well-established Mori-Tanaka method for composite media reinforced with ellipsoidal inclusions, extended to account for imperfect thermal contact at the matrix-inclusion interface, random orientation of particles and particle size distribution. Using simple ensemble averaging arguments, we show that the original Mori-Tanaka relations are still applicable for these co","authors_text":"Jan Str\\'ansk\\'y, Jan Vorel, Jan Zeman, Michal \\v{S}ejnoha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-01-21T12:21:56Z","title":"Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4121","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":"sha256:5d8890d37d7cb266989b801fd717857a29dfe1fbe3d4efeb2e4e03af17a9c0d9","target":"record","created_at":"2026-05-18T04:16:12Z","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":"32d12b50c414b75baf2a9ef847eb81a5bb9a1ceccbccafa8c4f1ca41e9e43bb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-01-21T12:21:56Z","title_canon_sha256":"e4fb401bf67e917eece106bf5b781e4751426e3380531faaf0f3a13613c680f6"},"schema_version":"1.0","source":{"id":"1101.4121","kind":"arxiv","version":3}},"canonical_sha256":"7b109cdd48a57dc61bf10488a922fd245875955afe7f49a143dfbd2ba4762f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b109cdd48a57dc61bf10488a922fd245875955afe7f49a143dfbd2ba4762f5b","first_computed_at":"2026-05-18T04:16:12.020692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:12.020692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7veOuiVASKl9BBmOJpdHbwEWA/NfnVVaIicxJFs1hs8/Cx/qxqeKUFHLVwiagrJX0ombMpt0MSPPvXNHzSYNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:12.021159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4121","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d8890d37d7cb266989b801fd717857a29dfe1fbe3d4efeb2e4e03af17a9c0d9","sha256:6b858acbc3aeb9261f2d8de0a3410b3f99f20403c460a45cbb45648a0798d219"],"state_sha256":"3cb9c579b6f365a52bab78210d2106de1373b5a7e86117c2484c29a2380b550c"}