{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YQSXPC6FWIPUDDCIUJFI2WTXIP","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":"185f1338c0a3040abbbb801059feba01bbcb036ddfacd60abbd0682dc31223dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-12-31T04:30:10Z","title_canon_sha256":"13c700e00ba62c51df3260200e8a726c6d7b6d1ff308bda64d8b576046ac34f2"},"schema_version":"1.0","source":{"id":"1812.11696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11696","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11696v1","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11696","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"pith_short_12","alias_value":"YQSXPC6FWIPU","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YQSXPC6FWIPUDDCI","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YQSXPC6F","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:5d9d862c8eff29290aa45d5366cbc9bd27463ed683681fd336e265ac35adab2e","target":"graph","created_at":"2026-05-17T23:57:11Z","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":"There are several models for the effective thermal conductivity of two-phase composite materials in terms of the conductivity of the solid and the disperse material. In this paper, we generalise three models of Maxwell type (namely, the classical Maxwell model and two generalisations of it obtained from effective medium theory and differential effective medium theory) so that the resulting effective thermal conductivity accounts for radiative heat transfer within gas voids. In the high-temperature regime, radiative transfer within voids strongly influences the thermal conductivity of the bulk ","authors_text":"Kristian B. Kiradjiev, Robert A. Van Gorder, Sam D. Howison, Svenn Anton Halvorsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-12-31T04:30:10Z","title":"Maxwell-type models for the effective thermal conductivity of a porous material with radiative transfer in the voids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11696","kind":"arxiv","version":1},"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:b2dd642442a85a96938a451be9e87409ff763e91eb75e60f3eb65a8197964a2c","target":"record","created_at":"2026-05-17T23:57:11Z","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":"185f1338c0a3040abbbb801059feba01bbcb036ddfacd60abbd0682dc31223dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-12-31T04:30:10Z","title_canon_sha256":"13c700e00ba62c51df3260200e8a726c6d7b6d1ff308bda64d8b576046ac34f2"},"schema_version":"1.0","source":{"id":"1812.11696","kind":"arxiv","version":1}},"canonical_sha256":"c425778bc5b21f418c48a24a8d5a7743d06876df15d206d4cef90b93b7ddafc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c425778bc5b21f418c48a24a8d5a7743d06876df15d206d4cef90b93b7ddafc0","first_computed_at":"2026-05-17T23:57:11.341214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:11.341214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ksMlQ7AD8BQzim9pdO6kdr9tMZSTFp0Ut7PMBmwldhgiu9aCv1JpCFS67jXB2yiOEkaEAmvqOFEhVB3hE4pEBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:11.341647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2dd642442a85a96938a451be9e87409ff763e91eb75e60f3eb65a8197964a2c","sha256:5d9d862c8eff29290aa45d5366cbc9bd27463ed683681fd336e265ac35adab2e"],"state_sha256":"36cc2756f7b27270b4a2a6af0aae32d8a99fe7f27f35e008baec31e3fcbe7e50"}