{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ESZC4OQVLAYWCLM6VEW4PH6ES2","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":"b8ff5472b8f1ba099cfa3c9d9dbc024925ac3bf1bb3676ab6fa758dd96add07e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-02-21T10:33:56Z","title_canon_sha256":"27ba34122bf2d66e2089ce4777028ca63da5ddb3a38bae1396d6748724b0eb5f"},"schema_version":"1.0","source":{"id":"1102.4182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4182","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4182v1","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4182","created_at":"2026-05-18T02:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"ESZC4OQVLAYW","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ESZC4OQVLAYWCLM6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ESZC4OQV","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:5f4fa4e163d707ffc4bfcfc7cebe9e3b357599ac031f1007ddeba8ab163e04f3","target":"graph","created_at":"2026-05-18T02:03:07Z","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":"We investigate thermal rectification in a bulk material with a pyramid shape to elucidate shape dependence of the thermal rectification, and find that rectifying coefficient R is 1.35 for this shape, which is smaller than R=1.43 for a rectangular shape. This result is fully duplicated by our numerical calculation based on Fourier's law. We also apply this calculation to a given shape, and show a possible way to increase R depending on the shape.","authors_text":"D. Sawaki, I. Terasaki, W. Kobayashi, Y. Moritomo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-02-21T10:33:56Z","title":"Thermal rectification in bulk materials with asymmetric shape"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4182","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":"sha256:55cec60519f467813c6f679c8ed3b8fe76ddd65485220f86765a444436d537a5","target":"record","created_at":"2026-05-18T02:03:07Z","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":"b8ff5472b8f1ba099cfa3c9d9dbc024925ac3bf1bb3676ab6fa758dd96add07e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-02-21T10:33:56Z","title_canon_sha256":"27ba34122bf2d66e2089ce4777028ca63da5ddb3a38bae1396d6748724b0eb5f"},"schema_version":"1.0","source":{"id":"1102.4182","kind":"arxiv","version":1}},"canonical_sha256":"24b22e3a155831612d9ea92dc79fc496b7be4ad745584831bda61e6cdf6a105b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24b22e3a155831612d9ea92dc79fc496b7be4ad745584831bda61e6cdf6a105b","first_computed_at":"2026-05-18T02:03:07.218443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:07.218443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2NG19it5G14Y8w3d4TAIKrBOoI0XJgFAP2kuJBTB6g0UqTfOl/S6zcSuXukU+xTK9NXTCTPbI6uasIgwaJlBBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:07.219083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55cec60519f467813c6f679c8ed3b8fe76ddd65485220f86765a444436d537a5","sha256:5f4fa4e163d707ffc4bfcfc7cebe9e3b357599ac031f1007ddeba8ab163e04f3"],"state_sha256":"c1fcc0607ef329cab719b45324c4992e0c78c2a1852231c0577714d1ce9283db"}