{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:75LRSJZ6N5TCU2JT3B6ZXZ3QC2","short_pith_number":"pith:75LRSJZ6","canonical_record":{"source":{"id":"0910.0957","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-10-06T09:15:47Z","cross_cats_sorted":[],"title_canon_sha256":"d0c9b5fbafc0b6d7de7408adf90aab949750925be24b2cd5c83a5a30cb836036","abstract_canon_sha256":"75b87e827fcb95e59ec4293eb34feec1a95780280ceed765ace9d11907ef1af2"},"schema_version":"1.0"},"canonical_sha256":"ff5719273e6f662a6933d87d9be7701690149e323919ef405d19c9c27ff406b6","source":{"kind":"arxiv","id":"0910.0957","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0957","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0957v1","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0957","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"pith_short_12","alias_value":"75LRSJZ6N5TC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"75LRSJZ6N5TCU2JT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"75LRSJZ6","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:75LRSJZ6N5TCU2JT3B6ZXZ3QC2","target":"record","payload":{"canonical_record":{"source":{"id":"0910.0957","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-10-06T09:15:47Z","cross_cats_sorted":[],"title_canon_sha256":"d0c9b5fbafc0b6d7de7408adf90aab949750925be24b2cd5c83a5a30cb836036","abstract_canon_sha256":"75b87e827fcb95e59ec4293eb34feec1a95780280ceed765ace9d11907ef1af2"},"schema_version":"1.0"},"canonical_sha256":"ff5719273e6f662a6933d87d9be7701690149e323919ef405d19c9c27ff406b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:26.348796Z","signature_b64":"nCPvthYqbKA1P4DakXi07x+DNc0xPR46NQRUeqY56vofAjjC/vAOQrMvULCZf7ZIGygeg7p6Pk7Sz/uke5T0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff5719273e6f662a6933d87d9be7701690149e323919ef405d19c9c27ff406b6","last_reissued_at":"2026-05-18T02:11:26.348040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:26.348040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.0957","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":"2026-05-18T02:11:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22PKeDaaL40uzu/Eh8jkmxC84L8VPEPt14qnmOXA+Hmy/UnntKQOwV9/Yek9PQJij33e8tRYsZ45JfrroAsaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:38:08.495219Z"},"content_sha256":"dfebd7510cc86a3c958c8aa3ef932e60552f2246af8063f78d1392750d105e09","schema_version":"1.0","event_id":"sha256:dfebd7510cc86a3c958c8aa3ef932e60552f2246af8063f78d1392750d105e09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:75LRSJZ6N5TCU2JT3B6ZXZ3QC2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistics of velocity gradients in wall-bounded shear flow turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Dmitry Krasnov, Joerg Schumacher, Thomas Boeck","submitted_at":"2009-10-06T09:15:47Z","abstract_excerpt":"The statistical properties of velocity gradients in a wall-bounded turbulent channel flow are discussed on the basis of three-dimensional direct numerical simulations. Our analysis is concentrated on the trend of the statistical properties of the local enstrophy ${\\bm \\omega}^2({\\bm x},t)$ and the energy dissipation rate $\\epsilon({\\bm x},t)$ with increasing distance from the wall. We detect a sensitive dependence of the largest amplitudes of both fields (which correspond with the tail of the distribution) on the spectral resolution. The probability density functions of each single field as we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0957","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":""},"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":"2026-05-18T02:11:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tRa2vVb5OTXK8xOSiR04VveKWTwr1MXnmq1mFD3N49Y4QAhutLPcZ5pgAm6eJ/VWt1eu08eglRmATOVuuNQgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:38:08.495888Z"},"content_sha256":"32b2a7b437af26802dd39e1bec1dd402c7e528c2872833200a84e6b17ddac93d","schema_version":"1.0","event_id":"sha256:32b2a7b437af26802dd39e1bec1dd402c7e528c2872833200a84e6b17ddac93d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/bundle.json","state_url":"https://pith.science/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/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":"2026-05-25T03:38:08Z","links":{"resolver":"https://pith.science/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2","bundle":"https://pith.science/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/bundle.json","state":"https://pith.science/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/75LRSJZ6N5TCU2JT3B6ZXZ3QC2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:75LRSJZ6N5TCU2JT3B6ZXZ3QC2","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":"75b87e827fcb95e59ec4293eb34feec1a95780280ceed765ace9d11907ef1af2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-10-06T09:15:47Z","title_canon_sha256":"d0c9b5fbafc0b6d7de7408adf90aab949750925be24b2cd5c83a5a30cb836036"},"schema_version":"1.0","source":{"id":"0910.0957","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0957","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0957v1","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0957","created_at":"2026-05-18T02:11:26Z"},{"alias_kind":"pith_short_12","alias_value":"75LRSJZ6N5TC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"75LRSJZ6N5TCU2JT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"75LRSJZ6","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:32b2a7b437af26802dd39e1bec1dd402c7e528c2872833200a84e6b17ddac93d","target":"graph","created_at":"2026-05-18T02:11:26Z","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":"The statistical properties of velocity gradients in a wall-bounded turbulent channel flow are discussed on the basis of three-dimensional direct numerical simulations. Our analysis is concentrated on the trend of the statistical properties of the local enstrophy ${\\bm \\omega}^2({\\bm x},t)$ and the energy dissipation rate $\\epsilon({\\bm x},t)$ with increasing distance from the wall. We detect a sensitive dependence of the largest amplitudes of both fields (which correspond with the tail of the distribution) on the spectral resolution. The probability density functions of each single field as we","authors_text":"Dmitry Krasnov, Joerg Schumacher, Thomas Boeck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-10-06T09:15:47Z","title":"Statistics of velocity gradients in wall-bounded shear flow turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0957","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:dfebd7510cc86a3c958c8aa3ef932e60552f2246af8063f78d1392750d105e09","target":"record","created_at":"2026-05-18T02:11:26Z","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":"75b87e827fcb95e59ec4293eb34feec1a95780280ceed765ace9d11907ef1af2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-10-06T09:15:47Z","title_canon_sha256":"d0c9b5fbafc0b6d7de7408adf90aab949750925be24b2cd5c83a5a30cb836036"},"schema_version":"1.0","source":{"id":"0910.0957","kind":"arxiv","version":1}},"canonical_sha256":"ff5719273e6f662a6933d87d9be7701690149e323919ef405d19c9c27ff406b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff5719273e6f662a6933d87d9be7701690149e323919ef405d19c9c27ff406b6","first_computed_at":"2026-05-18T02:11:26.348040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:26.348040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCPvthYqbKA1P4DakXi07x+DNc0xPR46NQRUeqY56vofAjjC/vAOQrMvULCZf7ZIGygeg7p6Pk7Sz/uke5T0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:26.348796Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0957","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfebd7510cc86a3c958c8aa3ef932e60552f2246af8063f78d1392750d105e09","sha256:32b2a7b437af26802dd39e1bec1dd402c7e528c2872833200a84e6b17ddac93d"],"state_sha256":"16e61da8158dbbc5339e7726b2bf5b47284838dee99ccb2ef60680faad692193"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFQVljVzN1p+vJa9FIt7DE0NP7qYHpxtkNUU37Gz3jRtVM3pzt0u05sGDW2IMnkamFiak7a2SeK1zUGxxXKPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:38:08.499207Z","bundle_sha256":"a9714c5e684253f6e36fb50f8ec20663b1e08e2c7a847de3a26b4a93cf1326bb"}}