{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2E2CUGN64UX7OYENZPYSW3RH6X","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":"3480675ce60bb0857af2f4ee56b192a4beb61613d6394302573eb94eda739b66","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-03-13T12:52:55Z","title_canon_sha256":"629a46d2c33f13f28dda8f81467050b76003bd36b972c1b9be48eaa32642af94"},"schema_version":"1.0","source":{"id":"1303.3147","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3147","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3147v1","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3147","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"2E2CUGN64UX7","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2E2CUGN64UX7OYEN","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2E2CUGN6","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:79a81a79815a78434dd82f16cd1e02a869939225d5a61a2545def9a74d531c3f","target":"graph","created_at":"2026-05-18T03:31:05Z","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 paper discusses the fundamental behavior of the dynamical lattice thermal conductivity k(W) of bulk cubic semiconductor crystals. The calculation approach is based on solving Boltzmann-Peierls Phonon Transport Equation in the frequency domain after excitation by a dynamical temperature gradient, within the framework of the single relaxation time approximation and using modified Debye-Callaway model. Our model allows us to obtain a compact expression for k(W) that captures the leading behavior of the dynamical thermal conduction by phonons. This expression fulfills the causality requirement","authors_text":"Karl Joulain, Younes Ezzahri","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-03-13T12:52:55Z","title":"Dynamical lattice thermal conductivity, Shastry sum rule and second sound in bulk semiconductor crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3147","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:fe35ecb097e87308a7be1f3eea28b64b555ac84b4208af4a62d36382aaf905dc","target":"record","created_at":"2026-05-18T03:31:05Z","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":"3480675ce60bb0857af2f4ee56b192a4beb61613d6394302573eb94eda739b66","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-03-13T12:52:55Z","title_canon_sha256":"629a46d2c33f13f28dda8f81467050b76003bd36b972c1b9be48eaa32642af94"},"schema_version":"1.0","source":{"id":"1303.3147","kind":"arxiv","version":1}},"canonical_sha256":"d1342a19bee52ff7608dcbf12b6e27f5f57eb02dad5e503875eb7b61d23a0133","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1342a19bee52ff7608dcbf12b6e27f5f57eb02dad5e503875eb7b61d23a0133","first_computed_at":"2026-05-18T03:31:05.635765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:05.635765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0x0sS5B3NWc9m638fqRwQM+6wbyf8zDxfS9WEzHvH2wMW8mQP6XemjYt5YYi6LDORKeNUhP/0xUD2h1BejcJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:05.636483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3147","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe35ecb097e87308a7be1f3eea28b64b555ac84b4208af4a62d36382aaf905dc","sha256:79a81a79815a78434dd82f16cd1e02a869939225d5a61a2545def9a74d531c3f"],"state_sha256":"3e38fb830956273bf01bad4ac06892f72372eb55513c0ba13a592435eea0eb1c"}