{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:CYGA2UDKEMO7EFKOXMGOHATKON","short_pith_number":"pith:CYGA2UDK","canonical_record":{"source":{"id":"0809.4339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-09-25T08:36:07Z","cross_cats_sorted":[],"title_canon_sha256":"6947d92d395b2c8189ec19ebb004752d07d949b88982ba33affbb4bc18241288","abstract_canon_sha256":"0764ce3968625a77b26337597ab2ff4dc4cf22fa26698cd888d05166b89a754e"},"schema_version":"1.0"},"canonical_sha256":"160c0d506a231df2154ebb0ce3826a735ff6b1e2ee7413adfc2a44820ee013a6","source":{"kind":"arxiv","id":"0809.4339","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4339","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4339v2","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4339","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"CYGA2UDKEMO7","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"CYGA2UDKEMO7EFKO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"CYGA2UDK","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:CYGA2UDKEMO7EFKOXMGOHATKON","target":"record","payload":{"canonical_record":{"source":{"id":"0809.4339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-09-25T08:36:07Z","cross_cats_sorted":[],"title_canon_sha256":"6947d92d395b2c8189ec19ebb004752d07d949b88982ba33affbb4bc18241288","abstract_canon_sha256":"0764ce3968625a77b26337597ab2ff4dc4cf22fa26698cd888d05166b89a754e"},"schema_version":"1.0"},"canonical_sha256":"160c0d506a231df2154ebb0ce3826a735ff6b1e2ee7413adfc2a44820ee013a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:33.649621Z","signature_b64":"sLfC22NthEeq5hpAiz0YyzsQfdXlM1BIsXVs/eMfAzFuXg638qba/RvjiVe3s7hMneRBzcLyJPelFWtO3Os9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"160c0d506a231df2154ebb0ce3826a735ff6b1e2ee7413adfc2a44820ee013a6","last_reissued_at":"2026-05-18T02:15:33.648911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:33.648911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.4339","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":"2026-05-18T02:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IJt38mrzackHrYHL5gNlgxam8Bz+aA9ZI0bGdPrN92X8z1by1CxOzGhz+3uUMV1bXQdWh+pDoONABrzs9X1TCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:48:07.682789Z"},"content_sha256":"bee81851d22ec2286f616a92443816729d8e56cd53e5e2205dc6065721c66984","schema_version":"1.0","event_id":"sha256:bee81851d22ec2286f616a92443816729d8e56cd53e5e2205dc6065721c66984"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:CYGA2UDKEMO7EFKOXMGOHATKON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An exact relation between Eulerian and Lagrangian velocity increment statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"O. Kamps, R. Friedrich, R. Grauer","submitted_at":"2008-09-25T08:36:07Z","abstract_excerpt":"We present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For the case of the inverse cascade regime of two-dimensional turbulence we numerically estimate the transition probabilities involved in this connection. In this context we are able to directly identify the processes leading to strongly non-Gaussian statistics for the Lagrangian velocity increments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4339","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":"2026-05-18T02:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q3iCerrWEYsjrSvzgX0xZLOdX3tOBtLfE+DHW9yTtz+bl1m+qxi2QHszkfFOMF1ddRdS0jo8byhb40Ez59faAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:48:07.683442Z"},"content_sha256":"b71473a13bc0826c93619f5cd15f37ab5f353e4ffa9f5324057fb89d5605674f","schema_version":"1.0","event_id":"sha256:b71473a13bc0826c93619f5cd15f37ab5f353e4ffa9f5324057fb89d5605674f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYGA2UDKEMO7EFKOXMGOHATKON/bundle.json","state_url":"https://pith.science/pith/CYGA2UDKEMO7EFKOXMGOHATKON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYGA2UDKEMO7EFKOXMGOHATKON/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":"2026-06-06T08:48:07Z","links":{"resolver":"https://pith.science/pith/CYGA2UDKEMO7EFKOXMGOHATKON","bundle":"https://pith.science/pith/CYGA2UDKEMO7EFKOXMGOHATKON/bundle.json","state":"https://pith.science/pith/CYGA2UDKEMO7EFKOXMGOHATKON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYGA2UDKEMO7EFKOXMGOHATKON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:CYGA2UDKEMO7EFKOXMGOHATKON","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":"0764ce3968625a77b26337597ab2ff4dc4cf22fa26698cd888d05166b89a754e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-09-25T08:36:07Z","title_canon_sha256":"6947d92d395b2c8189ec19ebb004752d07d949b88982ba33affbb4bc18241288"},"schema_version":"1.0","source":{"id":"0809.4339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4339","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4339v2","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4339","created_at":"2026-05-18T02:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"CYGA2UDKEMO7","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"CYGA2UDKEMO7EFKO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"CYGA2UDK","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:b71473a13bc0826c93619f5cd15f37ab5f353e4ffa9f5324057fb89d5605674f","target":"graph","created_at":"2026-05-18T02:15:33Z","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":"We present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For the case of the inverse cascade regime of two-dimensional turbulence we numerically estimate the transition probabilities involved in this connection. In this context we are able to directly identify the processes leading to strongly non-Gaussian statistics for the Lagrangian velocity increments.","authors_text":"O. Kamps, R. Friedrich, R. Grauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-09-25T08:36:07Z","title":"An exact relation between Eulerian and Lagrangian velocity increment statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4339","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:bee81851d22ec2286f616a92443816729d8e56cd53e5e2205dc6065721c66984","target":"record","created_at":"2026-05-18T02:15:33Z","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":"0764ce3968625a77b26337597ab2ff4dc4cf22fa26698cd888d05166b89a754e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-09-25T08:36:07Z","title_canon_sha256":"6947d92d395b2c8189ec19ebb004752d07d949b88982ba33affbb4bc18241288"},"schema_version":"1.0","source":{"id":"0809.4339","kind":"arxiv","version":2}},"canonical_sha256":"160c0d506a231df2154ebb0ce3826a735ff6b1e2ee7413adfc2a44820ee013a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"160c0d506a231df2154ebb0ce3826a735ff6b1e2ee7413adfc2a44820ee013a6","first_computed_at":"2026-05-18T02:15:33.648911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:33.648911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sLfC22NthEeq5hpAiz0YyzsQfdXlM1BIsXVs/eMfAzFuXg638qba/RvjiVe3s7hMneRBzcLyJPelFWtO3Os9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:33.649621Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.4339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bee81851d22ec2286f616a92443816729d8e56cd53e5e2205dc6065721c66984","sha256:b71473a13bc0826c93619f5cd15f37ab5f353e4ffa9f5324057fb89d5605674f"],"state_sha256":"bdcee58def62492028f87b959f8866ae8ebfe2b8f7fe86a77a58fc59200d3e8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Twp7P1ihC4UtyDl39umMVPCfljIF0ZlFqXarMXsw4F3CQ/fznbIj6fqT7UzpT+IhMD3FqKeDFO0b33kVxYwQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:48:07.686941Z","bundle_sha256":"ab8c33855c7c4a60e0359b49e2b5cf113ac61a9218d6c20b31871afb31f80113"}}