{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HO2UYDVYIXF7E5C2VIXFNX32YT","short_pith_number":"pith:HO2UYDVY","canonical_record":{"source":{"id":"1801.10435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-31T13:10:52Z","cross_cats_sorted":[],"title_canon_sha256":"b9c703decd566c5e1e5f76512661724e1babfe7222fd33212f3c259ed8eb9218","abstract_canon_sha256":"3c693967f72c86c4316283ed127f5dd200b563f1d8e99fafccc5e609b8921ed3"},"schema_version":"1.0"},"canonical_sha256":"3bb54c0eb845cbf2745aaa2e56df7ac4e1053d91703e1c1b2fd5a7031850e9aa","source":{"kind":"arxiv","id":"1801.10435","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10435","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10435v2","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10435","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"HO2UYDVYIXF7","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HO2UYDVYIXF7E5C2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HO2UYDVY","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HO2UYDVYIXF7E5C2VIXFNX32YT","target":"record","payload":{"canonical_record":{"source":{"id":"1801.10435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-31T13:10:52Z","cross_cats_sorted":[],"title_canon_sha256":"b9c703decd566c5e1e5f76512661724e1babfe7222fd33212f3c259ed8eb9218","abstract_canon_sha256":"3c693967f72c86c4316283ed127f5dd200b563f1d8e99fafccc5e609b8921ed3"},"schema_version":"1.0"},"canonical_sha256":"3bb54c0eb845cbf2745aaa2e56df7ac4e1053d91703e1c1b2fd5a7031850e9aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:30.909735Z","signature_b64":"xCCoJCtCtcx34vhtqvD7H4xMkdVirf+U570Zy1w2rFjaoVYi1g/S1od1Q1darlzBy2brhrsU7eU9VOlLCoZSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bb54c0eb845cbf2745aaa2e56df7ac4e1053d91703e1c1b2fd5a7031850e9aa","last_reissued_at":"2026-05-17T23:42:30.909065Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:30.909065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.10435","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qONtPDbtspIUgfcTbe82v228LwoapabGnklz2H4inpzNSqjhyWbskDE+yq7ug7w3spqJiNiIQafp8G/5rKUrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:22:28.634145Z"},"content_sha256":"142f2f085cfd59ad02258c6a769e6090c8d021a858d90d69a8002b1d4c4773f5","schema_version":"1.0","event_id":"sha256:142f2f085cfd59ad02258c6a769e6090c8d021a858d90d69a8002b1d4c4773f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HO2UYDVYIXF7E5C2VIXFNX32YT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Taketo Ariki","submitted_at":"2018-01-31T13:10:52Z","abstract_excerpt":"A closure theory is developed for inhomogeneous turbulent flow, which enables a systematic derivation of the turbulence constitutive relations without relying on any empirical parameters. Renormalized-perturbation approximation is performed in the convective coordinate frame based on the mean flow, successfully incorporating the convective integration in generally covariant manner."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10435","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wBKSOT2HhqATOOOJv+9FQgUQ4T9Q7YfuBJbxeUqDEZwdOlrHl4VF+4cbJnkts7uSyJ+p3OlcPxC5mGPxqfaPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:22:28.634521Z"},"content_sha256":"9a19aa5e058ba8ab88b02f1a2de8f251412ead46def95aa658a435dc1cb2a725","schema_version":"1.0","event_id":"sha256:9a19aa5e058ba8ab88b02f1a2de8f251412ead46def95aa658a435dc1cb2a725"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/bundle.json","state_url":"https://pith.science/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/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":"2026-06-02T23:22:28Z","links":{"resolver":"https://pith.science/pith/HO2UYDVYIXF7E5C2VIXFNX32YT","bundle":"https://pith.science/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/bundle.json","state":"https://pith.science/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HO2UYDVYIXF7E5C2VIXFNX32YT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HO2UYDVYIXF7E5C2VIXFNX32YT","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":"3c693967f72c86c4316283ed127f5dd200b563f1d8e99fafccc5e609b8921ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-31T13:10:52Z","title_canon_sha256":"b9c703decd566c5e1e5f76512661724e1babfe7222fd33212f3c259ed8eb9218"},"schema_version":"1.0","source":{"id":"1801.10435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10435","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10435v2","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10435","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"HO2UYDVYIXF7","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HO2UYDVYIXF7E5C2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HO2UYDVY","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:9a19aa5e058ba8ab88b02f1a2de8f251412ead46def95aa658a435dc1cb2a725","target":"graph","created_at":"2026-05-17T23:42:30Z","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"},"paper":{"abstract_excerpt":"A closure theory is developed for inhomogeneous turbulent flow, which enables a systematic derivation of the turbulence constitutive relations without relying on any empirical parameters. Renormalized-perturbation approximation is performed in the convective coordinate frame based on the mean flow, successfully incorporating the convective integration in generally covariant manner.","authors_text":"Taketo Ariki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-31T13:10:52Z","title":"Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10435","kind":"arxiv","version":2},"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":"sha256:142f2f085cfd59ad02258c6a769e6090c8d021a858d90d69a8002b1d4c4773f5","target":"record","created_at":"2026-05-17T23:42:30Z","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":"3c693967f72c86c4316283ed127f5dd200b563f1d8e99fafccc5e609b8921ed3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-31T13:10:52Z","title_canon_sha256":"b9c703decd566c5e1e5f76512661724e1babfe7222fd33212f3c259ed8eb9218"},"schema_version":"1.0","source":{"id":"1801.10435","kind":"arxiv","version":2}},"canonical_sha256":"3bb54c0eb845cbf2745aaa2e56df7ac4e1053d91703e1c1b2fd5a7031850e9aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bb54c0eb845cbf2745aaa2e56df7ac4e1053d91703e1c1b2fd5a7031850e9aa","first_computed_at":"2026-05-17T23:42:30.909065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:30.909065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xCCoJCtCtcx34vhtqvD7H4xMkdVirf+U570Zy1w2rFjaoVYi1g/S1od1Q1darlzBy2brhrsU7eU9VOlLCoZSAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:30.909735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:142f2f085cfd59ad02258c6a769e6090c8d021a858d90d69a8002b1d4c4773f5","sha256:9a19aa5e058ba8ab88b02f1a2de8f251412ead46def95aa658a435dc1cb2a725"],"state_sha256":"63b3c3dfaed4c95544b7145ef16f6a674068a833abf7e143fa02a86beec65e46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JagM1wFJYIVZ84qNoreWSFL6Y7D8WauKl4+dmwwQnUv2QTQCAHiJEFrZhhW78mjOOCDJqFVhxSzD/pteNpsUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:22:28.636419Z","bundle_sha256":"5249fddac8fee32fad6804b8c682335075613008f4b7a59eb04ca91e3db6235a"}}