{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:GCCL4QRPMJTBFACJHIKYQDWP4U","short_pith_number":"pith:GCCL4QRP","schema_version":"1.0","canonical_sha256":"3084be422f62661280493a15880ecfe52eebbceaa0b228bc686d4d4b9a8784f5","source":{"kind":"arxiv","id":"2606.31263","version":1},"attestation_state":"computed","paper":{"title":"Thermal rectification due to phonon confinement in nanoparticles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alessio Zaccone, Alexej D. Semenov, Marcel Di Vece, Mariia Sidorova","submitted_at":"2026-06-30T07:40:34Z","abstract_excerpt":"We demonstrate that thermal rectification can arise at the contact between two spherical nanoparticles of identical material but different size due to the geometric confinement of phonons. This confinement suppresses long-wavelength phonons differently in differently sized particles and creates a size-dependent gap in the phonon density of states. This gives rise to direction-dependent heat transport even in perfectly homogeneous materials. We develop an analytical model based on phonon confinement and phonon ray-tracing in the Casimir regime and derive expressions for heat fluxes and rectific"},"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":"2606.31263","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-06-30T07:40:34Z","cross_cats_sorted":[],"title_canon_sha256":"92e43658af56b1c546bb50d647aada8ee79cc6334b5ef69e8146eb3c1be4f2f0","abstract_canon_sha256":"86eac5a1602796c58bc40965062c02c81b123df27d2516a2e0af41548f16b834"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:17:57.481417Z","signature_b64":"QcRQ1I7D+pn73Gs9FwB8y+Fku/hnF7gL+lvCrKr5bTOCKAUi4iJkmpCZ7af+TfFXyoM2jPkCGPYUFNzOhLFnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3084be422f62661280493a15880ecfe52eebbceaa0b228bc686d4d4b9a8784f5","last_reissued_at":"2026-07-01T01:17:57.480978Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:17:57.480978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal rectification due to phonon confinement in nanoparticles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alessio Zaccone, Alexej D. Semenov, Marcel Di Vece, Mariia Sidorova","submitted_at":"2026-06-30T07:40:34Z","abstract_excerpt":"We demonstrate that thermal rectification can arise at the contact between two spherical nanoparticles of identical material but different size due to the geometric confinement of phonons. This confinement suppresses long-wavelength phonons differently in differently sized particles and creates a size-dependent gap in the phonon density of states. This gives rise to direction-dependent heat transport even in perfectly homogeneous materials. We develop an analytical model based on phonon confinement and phonon ray-tracing in the Casimir regime and derive expressions for heat fluxes and rectific"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31263","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.31263/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.31263","created_at":"2026-07-01T01:17:57.481046+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.31263v1","created_at":"2026-07-01T01:17:57.481046+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31263","created_at":"2026-07-01T01:17:57.481046+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCCL4QRPMJTB","created_at":"2026-07-01T01:17:57.481046+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCCL4QRPMJTBFACJ","created_at":"2026-07-01T01:17:57.481046+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCCL4QRP","created_at":"2026-07-01T01:17:57.481046+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/GCCL4QRPMJTBFACJHIKYQDWP4U","json":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U.json","graph_json":"https://pith.science/api/pith-number/GCCL4QRPMJTBFACJHIKYQDWP4U/graph.json","events_json":"https://pith.science/api/pith-number/GCCL4QRPMJTBFACJHIKYQDWP4U/events.json","paper":"https://pith.science/paper/GCCL4QRP"},"agent_actions":{"view_html":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U","download_json":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U.json","view_paper":"https://pith.science/paper/GCCL4QRP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.31263&json=true","fetch_graph":"https://pith.science/api/pith-number/GCCL4QRPMJTBFACJHIKYQDWP4U/graph.json","fetch_events":"https://pith.science/api/pith-number/GCCL4QRPMJTBFACJHIKYQDWP4U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U/action/storage_attestation","attest_author":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U/action/author_attestation","sign_citation":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U/action/citation_signature","submit_replication":"https://pith.science/pith/GCCL4QRPMJTBFACJHIKYQDWP4U/action/replication_record"}},"created_at":"2026-07-01T01:17:57.481046+00:00","updated_at":"2026-07-01T01:17:57.481046+00:00"}