{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:X7JLHHLCAZ373TAKX3MSWSV5M6","short_pith_number":"pith:X7JLHHLC","schema_version":"1.0","canonical_sha256":"bfd2b39d620677fdcc0abed92b4abd67802ba4238bf6a5ea8d60b9f96d28527a","source":{"kind":"arxiv","id":"1411.4717","version":3},"attestation_state":"computed","paper":{"title":"Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Eric J. Nielsen, Mark H. Carpenter, Matteo Parsani","submitted_at":"2014-11-18T02:20:41Z","abstract_excerpt":"Non-linear entropy stability and a summation-by-parts framework are used to derive entropy stable wall boundary conditions for the three-dimensional compressible Navier--Stokes equations. A semi-discrete entropy estimate for the entire domain is achieved when the new boundary conditions are coupled with an entropy stable discrete interior operator. The data at the boundary are weakly imposed using a penalty flux approach and a simultaneous-approximation-term penalty technique. Although discontinuous spectral collocation operators on unstructured grids are used herein for the purpose of demonst"},"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":"1411.4717","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"physics.flu-dyn","submitted_at":"2014-11-18T02:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"bf57ef1cb40efe66a3fe2d50eef2604f77c280d121c452bc22d16ea215188ddc","abstract_canon_sha256":"3e521ce6c6a40196fbd4626e7c782d31edcf61b6b22ca0e26416d2f3121c70a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:29.666648Z","signature_b64":"1NUBBwLrg/wePIhE0JZLC3g8cAILkP2fyHWMUKQk7mDSkFtcTY/8ymaX4CJJBffnq8Er2r1y+lv4Zm69iG44BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfd2b39d620677fdcc0abed92b4abd67802ba4238bf6a5ea8d60b9f96d28527a","last_reissued_at":"2026-05-18T01:41:29.665911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:29.665911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Eric J. Nielsen, Mark H. Carpenter, Matteo Parsani","submitted_at":"2014-11-18T02:20:41Z","abstract_excerpt":"Non-linear entropy stability and a summation-by-parts framework are used to derive entropy stable wall boundary conditions for the three-dimensional compressible Navier--Stokes equations. A semi-discrete entropy estimate for the entire domain is achieved when the new boundary conditions are coupled with an entropy stable discrete interior operator. The data at the boundary are weakly imposed using a penalty flux approach and a simultaneous-approximation-term penalty technique. Although discontinuous spectral collocation operators on unstructured grids are used herein for the purpose of demonst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4717","kind":"arxiv","version":3},"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":"1411.4717","created_at":"2026-05-18T01:41:29.666037+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.4717v3","created_at":"2026-05-18T01:41:29.666037+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4717","created_at":"2026-05-18T01:41:29.666037+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7JLHHLCAZ37","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7JLHHLCAZ373TAK","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7JLHHLC","created_at":"2026-05-18T12:28:57.508820+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/X7JLHHLCAZ373TAKX3MSWSV5M6","json":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6.json","graph_json":"https://pith.science/api/pith-number/X7JLHHLCAZ373TAKX3MSWSV5M6/graph.json","events_json":"https://pith.science/api/pith-number/X7JLHHLCAZ373TAKX3MSWSV5M6/events.json","paper":"https://pith.science/paper/X7JLHHLC"},"agent_actions":{"view_html":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6","download_json":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6.json","view_paper":"https://pith.science/paper/X7JLHHLC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.4717&json=true","fetch_graph":"https://pith.science/api/pith-number/X7JLHHLCAZ373TAKX3MSWSV5M6/graph.json","fetch_events":"https://pith.science/api/pith-number/X7JLHHLCAZ373TAKX3MSWSV5M6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6/action/storage_attestation","attest_author":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6/action/author_attestation","sign_citation":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6/action/citation_signature","submit_replication":"https://pith.science/pith/X7JLHHLCAZ373TAKX3MSWSV5M6/action/replication_record"}},"created_at":"2026-05-18T01:41:29.666037+00:00","updated_at":"2026-05-18T01:41:29.666037+00:00"}