{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VOMEIC6TKVVG3R7GHFHIXWS4YU","short_pith_number":"pith:VOMEIC6T","schema_version":"1.0","canonical_sha256":"ab98440bd3556a6dc7e6394e8bda5cc52e00f21ed46712214d35e8ba1d3e8f6b","source":{"kind":"arxiv","id":"1410.4035","version":1},"attestation_state":"computed","paper":{"title":"Conditions for supersonic bent Marshak waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"physics.plasm-ph","authors_text":"Jia-kun Dan, Jing Li, Kun-lun Wang, Qiang Xu, Shao-tong Zhou, Xiao-dong Ren","submitted_at":"2014-10-15T12:18:07Z","abstract_excerpt":"Supersonic radiation diffusion approximation is a useful way to study the radiation transportation. Considering the bent Marshak wave theory in 2-dimensions, and an invariable source temperature, we get the supersonic radiation diffusion conditions which are about the Mach number $M>8(1+\\sqrt{\\ep})/3$, and the optical depth $\\tau>1$. A large Mach number requires a high temperature, while a large optical depth requires a low temperature. Only when the source temperature is in a proper region these conditions can be satisfied. Assuming the material opacity and the specific internal energy depend"},"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":"1410.4035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-10-15T12:18:07Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"d603e0e9161e4d9d6659181fe1836086c790e20d3a97c1db33ce92597db88167","abstract_canon_sha256":"b50b5173662e2095a026cf2974b660f523e42e7ea95c43764189bf6b215ff891"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:48.268854Z","signature_b64":"VT7hGYWaoRANGjMoURMSpqJ5qmB38xKULGiwRmO8ZmxsJzWIpgymQdldIa5UWEqjFO8YJ49BTncoRuaG30npDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab98440bd3556a6dc7e6394e8bda5cc52e00f21ed46712214d35e8ba1d3e8f6b","last_reissued_at":"2026-05-18T01:41:48.268442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:48.268442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditions for supersonic bent Marshak waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"physics.plasm-ph","authors_text":"Jia-kun Dan, Jing Li, Kun-lun Wang, Qiang Xu, Shao-tong Zhou, Xiao-dong Ren","submitted_at":"2014-10-15T12:18:07Z","abstract_excerpt":"Supersonic radiation diffusion approximation is a useful way to study the radiation transportation. Considering the bent Marshak wave theory in 2-dimensions, and an invariable source temperature, we get the supersonic radiation diffusion conditions which are about the Mach number $M>8(1+\\sqrt{\\ep})/3$, and the optical depth $\\tau>1$. A large Mach number requires a high temperature, while a large optical depth requires a low temperature. Only when the source temperature is in a proper region these conditions can be satisfied. Assuming the material opacity and the specific internal energy depend"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4035","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":""},"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":"1410.4035","created_at":"2026-05-18T01:41:48.268505+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.4035v1","created_at":"2026-05-18T01:41:48.268505+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4035","created_at":"2026-05-18T01:41:48.268505+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOMEIC6TKVVG","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOMEIC6TKVVG3R7G","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOMEIC6T","created_at":"2026-05-18T12:28:54.890064+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/VOMEIC6TKVVG3R7GHFHIXWS4YU","json":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU.json","graph_json":"https://pith.science/api/pith-number/VOMEIC6TKVVG3R7GHFHIXWS4YU/graph.json","events_json":"https://pith.science/api/pith-number/VOMEIC6TKVVG3R7GHFHIXWS4YU/events.json","paper":"https://pith.science/paper/VOMEIC6T"},"agent_actions":{"view_html":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU","download_json":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU.json","view_paper":"https://pith.science/paper/VOMEIC6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.4035&json=true","fetch_graph":"https://pith.science/api/pith-number/VOMEIC6TKVVG3R7GHFHIXWS4YU/graph.json","fetch_events":"https://pith.science/api/pith-number/VOMEIC6TKVVG3R7GHFHIXWS4YU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU/action/storage_attestation","attest_author":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU/action/author_attestation","sign_citation":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU/action/citation_signature","submit_replication":"https://pith.science/pith/VOMEIC6TKVVG3R7GHFHIXWS4YU/action/replication_record"}},"created_at":"2026-05-18T01:41:48.268505+00:00","updated_at":"2026-05-18T01:41:48.268505+00:00"}