{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:H37LYPSUWVEUAIZY4PJNQ3Q3CG","short_pith_number":"pith:H37LYPSU","canonical_record":{"source":{"id":"2207.01173","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-07-04T03:09:45Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"383735888429b9c8fcc1777d45de0713a6e53659132629d617962ea0e155d04d","abstract_canon_sha256":"f9df0d2190396bd17283749afd7a4396bcd286ad579f524b385d7b1357f3bd48"},"schema_version":"1.0"},"canonical_sha256":"3efebc3e54b549402338e3d2d86e1b11a065c00c293c4d55cd91253fcc580634","source":{"kind":"arxiv","id":"2207.01173","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01173","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01173v1","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01173","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"H37LYPSUWVEU","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_16","alias_value":"H37LYPSUWVEUAIZY","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_8","alias_value":"H37LYPSU","created_at":"2026-07-05T05:35:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:H37LYPSUWVEUAIZY4PJNQ3Q3CG","target":"record","payload":{"canonical_record":{"source":{"id":"2207.01173","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-07-04T03:09:45Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"383735888429b9c8fcc1777d45de0713a6e53659132629d617962ea0e155d04d","abstract_canon_sha256":"f9df0d2190396bd17283749afd7a4396bcd286ad579f524b385d7b1357f3bd48"},"schema_version":"1.0"},"canonical_sha256":"3efebc3e54b549402338e3d2d86e1b11a065c00c293c4d55cd91253fcc580634","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:35:16.671162Z","signature_b64":"HP8m63QMlgd0y5PHJwe3R9/BvUY+LwuklW7PuNFpKf/rYEVfCF/Nr7rkq8cjpssJC//Tp/NYCMgEx3LBkM+PCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3efebc3e54b549402338e3d2d86e1b11a065c00c293c4d55cd91253fcc580634","last_reissued_at":"2026-07-05T05:35:16.670673Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:35:16.670673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.01173","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"237lnedv7rcIJML3YkpY+s5UGuSQYwgncqq3iGPM7HjZFUMDaldNIcvmwG5c9ilXqGKr7wNGXfedRI5JSt0MCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:53:01.155772Z"},"content_sha256":"5b17e889460ce610b7d94dcc8572ea005854bdee1f6cd41ac710d3ccf9e245a6","schema_version":"1.0","event_id":"sha256:5b17e889460ce610b7d94dcc8572ea005854bdee1f6cd41ac710d3ccf9e245a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:H37LYPSUWVEUAIZY4PJNQ3Q3CG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiple-GPU accelerated high-order gas-kinetic scheme for direct numerical simulation of compressible turbulence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Guiyu Cao, Liang Pan, Yuhang Wang","submitted_at":"2022-07-04T03:09:45Z","abstract_excerpt":"High-order gas-kinetic scheme (HGKS) has become a workable tool for the direct numerical simulation (DNS) of turbulence. In this paper, to accelerate the computation, HGKS is implemented with the graphical processing unit (GPU) using the compute unified device architecture (CUDA). To conduct the much large-scale DNS of turbulence, HGKS also be further upgraded with multiple GPUs using message passing interface (MPI) and CUDA architecture. The benchmark cases for compressible turbulence, including Taylor-Green vortex and turbulent channel flows, are presented to assess the numerical performance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01173","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/2207.01173/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqRBB140w8hqAA5VjdUsaAOOFDsBL19oH5s0D5/SAmWFxVlmy060/OZwKYFkTnAwCKyJGgNfykxUZ9GlRG7UAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:53:01.156290Z"},"content_sha256":"70e895c3e1eb23148453209670a180b1f3846a707af0b973f3bd6c86e1c089ca","schema_version":"1.0","event_id":"sha256:70e895c3e1eb23148453209670a180b1f3846a707af0b973f3bd6c86e1c089ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/bundle.json","state_url":"https://pith.science/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-22T00:53:01Z","links":{"resolver":"https://pith.science/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG","bundle":"https://pith.science/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/bundle.json","state":"https://pith.science/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H37LYPSUWVEUAIZY4PJNQ3Q3CG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:H37LYPSUWVEUAIZY4PJNQ3Q3CG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f9df0d2190396bd17283749afd7a4396bcd286ad579f524b385d7b1357f3bd48","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-07-04T03:09:45Z","title_canon_sha256":"383735888429b9c8fcc1777d45de0713a6e53659132629d617962ea0e155d04d"},"schema_version":"1.0","source":{"id":"2207.01173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01173","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01173v1","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01173","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"H37LYPSUWVEU","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_16","alias_value":"H37LYPSUWVEUAIZY","created_at":"2026-07-05T05:35:16Z"},{"alias_kind":"pith_short_8","alias_value":"H37LYPSU","created_at":"2026-07-05T05:35:16Z"}],"graph_snapshots":[{"event_id":"sha256:70e895c3e1eb23148453209670a180b1f3846a707af0b973f3bd6c86e1c089ca","target":"graph","created_at":"2026-07-05T05:35:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.01173/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High-order gas-kinetic scheme (HGKS) has become a workable tool for the direct numerical simulation (DNS) of turbulence. In this paper, to accelerate the computation, HGKS is implemented with the graphical processing unit (GPU) using the compute unified device architecture (CUDA). To conduct the much large-scale DNS of turbulence, HGKS also be further upgraded with multiple GPUs using message passing interface (MPI) and CUDA architecture. The benchmark cases for compressible turbulence, including Taylor-Green vortex and turbulent channel flows, are presented to assess the numerical performance","authors_text":"Guiyu Cao, Liang Pan, Yuhang Wang","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-07-04T03:09:45Z","title":"Multiple-GPU accelerated high-order gas-kinetic scheme for direct numerical simulation of compressible turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01173","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5b17e889460ce610b7d94dcc8572ea005854bdee1f6cd41ac710d3ccf9e245a6","target":"record","created_at":"2026-07-05T05:35:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f9df0d2190396bd17283749afd7a4396bcd286ad579f524b385d7b1357f3bd48","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-07-04T03:09:45Z","title_canon_sha256":"383735888429b9c8fcc1777d45de0713a6e53659132629d617962ea0e155d04d"},"schema_version":"1.0","source":{"id":"2207.01173","kind":"arxiv","version":1}},"canonical_sha256":"3efebc3e54b549402338e3d2d86e1b11a065c00c293c4d55cd91253fcc580634","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3efebc3e54b549402338e3d2d86e1b11a065c00c293c4d55cd91253fcc580634","first_computed_at":"2026-07-05T05:35:16.670673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:35:16.670673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HP8m63QMlgd0y5PHJwe3R9/BvUY+LwuklW7PuNFpKf/rYEVfCF/Nr7rkq8cjpssJC//Tp/NYCMgEx3LBkM+PCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:35:16.671162Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.01173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b17e889460ce610b7d94dcc8572ea005854bdee1f6cd41ac710d3ccf9e245a6","sha256:70e895c3e1eb23148453209670a180b1f3846a707af0b973f3bd6c86e1c089ca"],"state_sha256":"44487e1f34700491bf5872468feb8bd54979cd61115273f6a00507b3411e6dab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b/nCdFkOwXqNdBEItuFS2774weL7UjyJpVJVjMggYivsIs+TozGw4jylXbzRZWNLN1TQBWScWbDBTs2WhhhGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T00:53:01.160942Z","bundle_sha256":"bbddf1649152decc115ded78970a5dd96c3224383254ab98406d5741d24cf117"}}