{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PSHEMANHZLGRYRVFXSPUY4YE7R","short_pith_number":"pith:PSHEMANH","schema_version":"1.0","canonical_sha256":"7c8e4601a7cacd1c46a5bc9f4c7304fc585ca1fde6ba768ac493a1b83c4b7390","source":{"kind":"arxiv","id":"2606.21191","version":1},"attestation_state":"computed","paper":{"title":"A semi-Lagrangian method for the polyatomic ESBGK model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Axel Klar, Erik Arlemark, Giovanni Samaey, Klaas Willems","submitted_at":"2026-06-19T08:02:59Z","abstract_excerpt":"Polyatomic kinetic models are essential for accurately capturing the thermodynamic behavior of real gases, as internal energy modes significantly influence transport coefficients, relaxation processes, and non-equilibrium effects that cannot be represented by monoatomic models. The polyatomic ESBGK model describes molecular collisions as a relaxation towards a generalized Gaussian distribution with an anisotropic covariance matrix and an exponentially decaying internal energy distribution. We present a new semi-Lagrangian scheme for the polyatomic Ellipsoidal Statistical BGK (ESBGK) model of t"},"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":"2606.21191","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T08:02:59Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"5afb79a6fda4b3632595f37ebd6f11e47d93561f941f17992fe5c7159c323612","abstract_canon_sha256":"9ccfbc08281f89f16f9fb12d1e62310cea5c28ea0f6eb48d8ffae0bc0c78b986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:32.943498Z","signature_b64":"W3vAcFIzrluHFjKoqqIjaB/Jq9RkE+TBWePhsL93TIW1hQrQ7Bu4xrHBhUgHeX1WqugHeUcgD7BVAr5oW+JeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c8e4601a7cacd1c46a5bc9f4c7304fc585ca1fde6ba768ac493a1b83c4b7390","last_reissued_at":"2026-06-23T01:12:32.943029Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:32.943029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A semi-Lagrangian method for the polyatomic ESBGK model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Axel Klar, Erik Arlemark, Giovanni Samaey, Klaas Willems","submitted_at":"2026-06-19T08:02:59Z","abstract_excerpt":"Polyatomic kinetic models are essential for accurately capturing the thermodynamic behavior of real gases, as internal energy modes significantly influence transport coefficients, relaxation processes, and non-equilibrium effects that cannot be represented by monoatomic models. The polyatomic ESBGK model describes molecular collisions as a relaxation towards a generalized Gaussian distribution with an anisotropic covariance matrix and an exponentially decaying internal energy distribution. We present a new semi-Lagrangian scheme for the polyatomic Ellipsoidal Statistical BGK (ESBGK) model of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21191","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/2606.21191/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":"2606.21191","created_at":"2026-06-23T01:12:32.943100+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.21191v1","created_at":"2026-06-23T01:12:32.943100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21191","created_at":"2026-06-23T01:12:32.943100+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSHEMANHZLGR","created_at":"2026-06-23T01:12:32.943100+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSHEMANHZLGRYRVF","created_at":"2026-06-23T01:12:32.943100+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSHEMANH","created_at":"2026-06-23T01:12:32.943100+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/PSHEMANHZLGRYRVFXSPUY4YE7R","json":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R.json","graph_json":"https://pith.science/api/pith-number/PSHEMANHZLGRYRVFXSPUY4YE7R/graph.json","events_json":"https://pith.science/api/pith-number/PSHEMANHZLGRYRVFXSPUY4YE7R/events.json","paper":"https://pith.science/paper/PSHEMANH"},"agent_actions":{"view_html":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R","download_json":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R.json","view_paper":"https://pith.science/paper/PSHEMANH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.21191&json=true","fetch_graph":"https://pith.science/api/pith-number/PSHEMANHZLGRYRVFXSPUY4YE7R/graph.json","fetch_events":"https://pith.science/api/pith-number/PSHEMANHZLGRYRVFXSPUY4YE7R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R/action/storage_attestation","attest_author":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R/action/author_attestation","sign_citation":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R/action/citation_signature","submit_replication":"https://pith.science/pith/PSHEMANHZLGRYRVFXSPUY4YE7R/action/replication_record"}},"created_at":"2026-06-23T01:12:32.943100+00:00","updated_at":"2026-06-23T01:12:32.943100+00:00"}