{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NMSBPMEOXT54II7MMWZ2SPKQME","short_pith_number":"pith:NMSBPMEO","schema_version":"1.0","canonical_sha256":"6b2417b08ebcfbc423ec65b3a93d5061245f80dcdc0f1f17724cd87349895096","source":{"kind":"arxiv","id":"1801.09857","version":2},"attestation_state":"computed","paper":{"title":"On a $C$-integrable equation for second sound propagation in heated dielectrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Ivan C. Christov","submitted_at":"2018-01-30T05:50:14Z","abstract_excerpt":"An exactly solvable model in heat conduction is considered. The $C$-integrable (i.e., change-of-variables-integrable) equation for second sound (i.e., heat wave) propagation in a thin, rigid dielectric heat conductor uniformly heated on its lateral side by a surrounding medium under the Stefan--Boltzmann law is derived. A simple change-of-variables transformation is shown to exactly map the nonlinear governing partial differential equation to the classical linear telegrapher's equation. In a one-dimensional context, known integral-transform solutions of the latter are adapted to construct exac"},"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":"1801.09857","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-01-30T05:50:14Z","cross_cats_sorted":[],"title_canon_sha256":"126dbae9f8f820c4d4de3f2e9fcb6789638463e67159a5f9dd4924333ddba4e5","abstract_canon_sha256":"a5b0ea09926eeabfa8ab1b5c9d79ad4c8436a91788e7c9370acc5875a41ce9af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:15.433403Z","signature_b64":"IvgCp8L/D6KQIs/UQITHqE6LchswBKD1eNWATWaiEKOfbZG9sru+SQs3stiqQIiZ1yLkod+FYpRezdhTyTLPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b2417b08ebcfbc423ec65b3a93d5061245f80dcdc0f1f17724cd87349895096","last_reissued_at":"2026-05-17T23:57:15.432923Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:15.432923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a $C$-integrable equation for second sound propagation in heated dielectrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Ivan C. Christov","submitted_at":"2018-01-30T05:50:14Z","abstract_excerpt":"An exactly solvable model in heat conduction is considered. The $C$-integrable (i.e., change-of-variables-integrable) equation for second sound (i.e., heat wave) propagation in a thin, rigid dielectric heat conductor uniformly heated on its lateral side by a surrounding medium under the Stefan--Boltzmann law is derived. A simple change-of-variables transformation is shown to exactly map the nonlinear governing partial differential equation to the classical linear telegrapher's equation. In a one-dimensional context, known integral-transform solutions of the latter are adapted to construct exac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09857","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":"1801.09857","created_at":"2026-05-17T23:57:15.432989+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.09857v2","created_at":"2026-05-17T23:57:15.432989+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09857","created_at":"2026-05-17T23:57:15.432989+00:00"},{"alias_kind":"pith_short_12","alias_value":"NMSBPMEOXT54","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NMSBPMEOXT54II7M","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NMSBPMEO","created_at":"2026-05-18T12:32:40.477152+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/NMSBPMEOXT54II7MMWZ2SPKQME","json":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME.json","graph_json":"https://pith.science/api/pith-number/NMSBPMEOXT54II7MMWZ2SPKQME/graph.json","events_json":"https://pith.science/api/pith-number/NMSBPMEOXT54II7MMWZ2SPKQME/events.json","paper":"https://pith.science/paper/NMSBPMEO"},"agent_actions":{"view_html":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME","download_json":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME.json","view_paper":"https://pith.science/paper/NMSBPMEO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.09857&json=true","fetch_graph":"https://pith.science/api/pith-number/NMSBPMEOXT54II7MMWZ2SPKQME/graph.json","fetch_events":"https://pith.science/api/pith-number/NMSBPMEOXT54II7MMWZ2SPKQME/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME/action/storage_attestation","attest_author":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME/action/author_attestation","sign_citation":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME/action/citation_signature","submit_replication":"https://pith.science/pith/NMSBPMEOXT54II7MMWZ2SPKQME/action/replication_record"}},"created_at":"2026-05-17T23:57:15.432989+00:00","updated_at":"2026-05-17T23:57:15.432989+00:00"}