{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GFQMPUORATV4NHYHTR7QIIKCLX","short_pith_number":"pith:GFQMPUOR","schema_version":"1.0","canonical_sha256":"3160c7d1d104ebc69f079c7f0421425df0f745b5408f59b5827be41220c5b71e","source":{"kind":"arxiv","id":"1108.3770","version":2},"attestation_state":"computed","paper":{"title":"Onset of non-diffusive phonon transport in transient thermal grating decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. A. Maznev, Jeremy A. Johnson, Keith A. Nelson","submitted_at":"2011-08-18T14:51:05Z","abstract_excerpt":"The relaxation of a spatially sinusoidal temperature perturbation in a dielectric crystal at a temperature comparable to or higher than the Debye temperature is investigated theoretically. We assume that most phonons contributing to the specific heat have mean free path (MFP) much shorter than the thermal transport distance and can be described by the thermal diffusion model. Low-frequency phonons that may have MFP comparable to or longer than the grating period are described by the Boltzmann transport equation. These low-frequency phonons are assumed to interact with the thermal reservoir of "},"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":"1108.3770","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-08-18T14:51:05Z","cross_cats_sorted":[],"title_canon_sha256":"9e3d651c7d99eb5b2df56602103550f751686782633c358cc5a95668348d4e8c","abstract_canon_sha256":"21929d8f0a8688315aa81c25b7334417e1eab6c0c8dacb20624b26f69e595d4a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:44.728728Z","signature_b64":"txK9nEcs7YIeV1a6yMCwDL0IYIc052cZTMUyJ0wg6AfzTWfy8dEOUusl26ZLUJchDpfl2HnMtlVNtLxuY5IyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3160c7d1d104ebc69f079c7f0421425df0f745b5408f59b5827be41220c5b71e","last_reissued_at":"2026-05-18T04:06:44.728151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:44.728151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Onset of non-diffusive phonon transport in transient thermal grating decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. A. Maznev, Jeremy A. Johnson, Keith A. Nelson","submitted_at":"2011-08-18T14:51:05Z","abstract_excerpt":"The relaxation of a spatially sinusoidal temperature perturbation in a dielectric crystal at a temperature comparable to or higher than the Debye temperature is investigated theoretically. We assume that most phonons contributing to the specific heat have mean free path (MFP) much shorter than the thermal transport distance and can be described by the thermal diffusion model. Low-frequency phonons that may have MFP comparable to or longer than the grating period are described by the Boltzmann transport equation. These low-frequency phonons are assumed to interact with the thermal reservoir of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3770","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1108.3770","created_at":"2026-05-18T04:06:44.728250+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.3770v2","created_at":"2026-05-18T04:06:44.728250+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3770","created_at":"2026-05-18T04:06:44.728250+00:00"},{"alias_kind":"pith_short_12","alias_value":"GFQMPUORATV4","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"GFQMPUORATV4NHYH","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"GFQMPUOR","created_at":"2026-05-18T12:26:28.662955+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/GFQMPUORATV4NHYHTR7QIIKCLX","json":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX.json","graph_json":"https://pith.science/api/pith-number/GFQMPUORATV4NHYHTR7QIIKCLX/graph.json","events_json":"https://pith.science/api/pith-number/GFQMPUORATV4NHYHTR7QIIKCLX/events.json","paper":"https://pith.science/paper/GFQMPUOR"},"agent_actions":{"view_html":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX","download_json":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX.json","view_paper":"https://pith.science/paper/GFQMPUOR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.3770&json=true","fetch_graph":"https://pith.science/api/pith-number/GFQMPUORATV4NHYHTR7QIIKCLX/graph.json","fetch_events":"https://pith.science/api/pith-number/GFQMPUORATV4NHYHTR7QIIKCLX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX/action/storage_attestation","attest_author":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX/action/author_attestation","sign_citation":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX/action/citation_signature","submit_replication":"https://pith.science/pith/GFQMPUORATV4NHYHTR7QIIKCLX/action/replication_record"}},"created_at":"2026-05-18T04:06:44.728250+00:00","updated_at":"2026-05-18T04:06:44.728250+00:00"}