{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CQO7UFSUGD2GDTRW36DQCXDEXZ","short_pith_number":"pith:CQO7UFSU","canonical_record":{"source":{"id":"2406.04367","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-31T20:05:17Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"eaa7bc841ff1ad0ad17dad18cf38ac9a585865881f0194015118a50471836242","abstract_canon_sha256":"04768f3e6eae93f7a3c0cfbb4f7f757f2d975619b27dfdd4508f18da0bb34ac7"},"schema_version":"1.0"},"canonical_sha256":"141dfa165430f461ce36df87015c64be67ccfeb17d3a0f5679a0a220c266a2b8","source":{"kind":"arxiv","id":"2406.04367","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.04367","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"arxiv_version","alias_value":"2406.04367v1","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04367","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_12","alias_value":"CQO7UFSUGD2G","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"CQO7UFSUGD2GDTRW","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"CQO7UFSU","created_at":"2026-07-05T08:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CQO7UFSUGD2GDTRW36DQCXDEXZ","target":"record","payload":{"canonical_record":{"source":{"id":"2406.04367","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-31T20:05:17Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"eaa7bc841ff1ad0ad17dad18cf38ac9a585865881f0194015118a50471836242","abstract_canon_sha256":"04768f3e6eae93f7a3c0cfbb4f7f757f2d975619b27dfdd4508f18da0bb34ac7"},"schema_version":"1.0"},"canonical_sha256":"141dfa165430f461ce36df87015c64be67ccfeb17d3a0f5679a0a220c266a2b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:28:43.087957Z","signature_b64":"zG7R7eKpaJjuSZy5whADqNl2tZRuH8UAIgqxoJqtZs3HM6YRSszDP9P6+YlWXuGG49QGoaF5MCVAtEGQ+0k3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"141dfa165430f461ce36df87015c64be67ccfeb17d3a0f5679a0a220c266a2b8","last_reissued_at":"2026-07-05T08:28:43.087486Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:28:43.087486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.04367","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":"2026-07-05T08:28:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sAQWill1RXPTMYKr50h+657riz/0zs33Gx8O4w12e7SiXXSjc6qvL9/gRTi8VUzhx4sXgfjePG3XG+3a5+fpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:01:24.465376Z"},"content_sha256":"c50d998527fdfd7087f206bffccf371afa535a1f3ca9adaf04447d265353be08","schema_version":"1.0","event_id":"sha256:c50d998527fdfd7087f206bffccf371afa535a1f3ca9adaf04447d265353be08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CQO7UFSUGD2GDTRW36DQCXDEXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physics-enhanced Neural Operator for Simulating Turbulent Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Can Zheng, Peyman Givi, Shengyu Chen, Xiaowei Jia","submitted_at":"2024-05-31T20:05:17Z","abstract_excerpt":"The precise simulation of turbulent flows is of immense importance in a variety of scientific and engineering fields, including climate science, freshwater science, and the development of energy-efficient manufacturing processes. Within the realm of turbulent flow simulation, direct numerical simulation (DNS) is widely considered to be the most reliable approach, but it is prohibitively expensive for long-term simulation at fine spatial scales. Given the pressing need for efficient simulation, there is an increasing interest in building machine learning models for turbulence, either by reconst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04367","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/2406.04367/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":"2026-07-05T08:28:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LJnhYPZOytDBJlBmyNp17ZLfQcuoSFwxxTFFHH81T9jCmTtTttam86UwwA9PuMHzBB8Qo23p+WS1sWWRkRlGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:01:24.465950Z"},"content_sha256":"f3eadaa727330979307a05bfc1a6f1e750ba27ab66c2aa2d8b8859cf6f576417","schema_version":"1.0","event_id":"sha256:f3eadaa727330979307a05bfc1a6f1e750ba27ab66c2aa2d8b8859cf6f576417"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/bundle.json","state_url":"https://pith.science/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/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":"2026-08-19T01:01:24Z","links":{"resolver":"https://pith.science/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ","bundle":"https://pith.science/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/bundle.json","state":"https://pith.science/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CQO7UFSUGD2GDTRW36DQCXDEXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CQO7UFSUGD2GDTRW36DQCXDEXZ","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":"04768f3e6eae93f7a3c0cfbb4f7f757f2d975619b27dfdd4508f18da0bb34ac7","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-31T20:05:17Z","title_canon_sha256":"eaa7bc841ff1ad0ad17dad18cf38ac9a585865881f0194015118a50471836242"},"schema_version":"1.0","source":{"id":"2406.04367","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.04367","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"arxiv_version","alias_value":"2406.04367v1","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04367","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_12","alias_value":"CQO7UFSUGD2G","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"CQO7UFSUGD2GDTRW","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"CQO7UFSU","created_at":"2026-07-05T08:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:f3eadaa727330979307a05bfc1a6f1e750ba27ab66c2aa2d8b8859cf6f576417","target":"graph","created_at":"2026-07-05T08:28:43Z","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/2406.04367/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The precise simulation of turbulent flows is of immense importance in a variety of scientific and engineering fields, including climate science, freshwater science, and the development of energy-efficient manufacturing processes. Within the realm of turbulent flow simulation, direct numerical simulation (DNS) is widely considered to be the most reliable approach, but it is prohibitively expensive for long-term simulation at fine spatial scales. Given the pressing need for efficient simulation, there is an increasing interest in building machine learning models for turbulence, either by reconst","authors_text":"Can Zheng, Peyman Givi, Shengyu Chen, Xiaowei Jia","cross_cats":["cs.LG","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-31T20:05:17Z","title":"Physics-enhanced Neural Operator for Simulating Turbulent Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04367","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:c50d998527fdfd7087f206bffccf371afa535a1f3ca9adaf04447d265353be08","target":"record","created_at":"2026-07-05T08:28:43Z","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":"04768f3e6eae93f7a3c0cfbb4f7f757f2d975619b27dfdd4508f18da0bb34ac7","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-05-31T20:05:17Z","title_canon_sha256":"eaa7bc841ff1ad0ad17dad18cf38ac9a585865881f0194015118a50471836242"},"schema_version":"1.0","source":{"id":"2406.04367","kind":"arxiv","version":1}},"canonical_sha256":"141dfa165430f461ce36df87015c64be67ccfeb17d3a0f5679a0a220c266a2b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"141dfa165430f461ce36df87015c64be67ccfeb17d3a0f5679a0a220c266a2b8","first_computed_at":"2026-07-05T08:28:43.087486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:28:43.087486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zG7R7eKpaJjuSZy5whADqNl2tZRuH8UAIgqxoJqtZs3HM6YRSszDP9P6+YlWXuGG49QGoaF5MCVAtEGQ+0k3Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:28:43.087957Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.04367","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c50d998527fdfd7087f206bffccf371afa535a1f3ca9adaf04447d265353be08","sha256:f3eadaa727330979307a05bfc1a6f1e750ba27ab66c2aa2d8b8859cf6f576417"],"state_sha256":"e61e38f2f98e2440153e909844a53464f2f652a70e278d3cc0e704c7a351fdf3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MOcvU7ZjGUjGw3eNzcWGn0zVDI9X1/BEQ+f8AiTrROh+mGZgmhVDN/g711SRu7qqCt7uYvNVnI2/Mm/dAx/cCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T01:01:24.470252Z","bundle_sha256":"a7f753b2d80fcfe4c23c60bab630d30a0e7108ccb4fbd10f81b6363a4cbc79e0"}}