{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LGQLOWZSJYZEHV5ZULMBMVVVPQ","short_pith_number":"pith:LGQLOWZS","canonical_record":{"source":{"id":"1401.4213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:49:57Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"04e233db2c3209c928a183233ad76da0e24c277d34ec2461cf9cdcc846f24f46","abstract_canon_sha256":"c57368198aa39c1ee10fe8d2136fa41323d83e467195e04e7d64726d0267a309"},"schema_version":"1.0"},"canonical_sha256":"59a0b75b324e3243d7b9a2d81656b57c2c4d59e054e7ef6b88658699e3868a75","source":{"kind":"arxiv","id":"1401.4213","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4213","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4213v1","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4213","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"LGQLOWZSJYZE","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LGQLOWZSJYZEHV5Z","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LGQLOWZS","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LGQLOWZSJYZEHV5ZULMBMVVVPQ","target":"record","payload":{"canonical_record":{"source":{"id":"1401.4213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:49:57Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"04e233db2c3209c928a183233ad76da0e24c277d34ec2461cf9cdcc846f24f46","abstract_canon_sha256":"c57368198aa39c1ee10fe8d2136fa41323d83e467195e04e7d64726d0267a309"},"schema_version":"1.0"},"canonical_sha256":"59a0b75b324e3243d7b9a2d81656b57c2c4d59e054e7ef6b88658699e3868a75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:14.293970Z","signature_b64":"tMaalPLf3AL4TvQZ2uR1+c12qb8MHaKxQvoGeUJW5DkD6D8EJaMMFw/o5QLyH4lGvwLCXo0VAir3kvuyp7WvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59a0b75b324e3243d7b9a2d81656b57c2c4d59e054e7ef6b88658699e3868a75","last_reissued_at":"2026-05-18T03:00:14.292806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:14.292806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.4213","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":"2026-05-18T03:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mCHlzTmBlo9yyg9OxXSBHu0Z45i3rwatGhuV4d2rVyulNNXx3gsXgEkJ23xtPR/2FmhJZ6i+K5a3bt2PASBfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:41:05.140961Z"},"content_sha256":"b7b8b448006a22761ba8b67a867053db66791d07ce7e3f2016f3772330a3d073","schema_version":"1.0","event_id":"sha256:b7b8b448006a22761ba8b67a867053db66791d07ce7e3f2016f3772330a3d073"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LGQLOWZSJYZEHV5ZULMBMVVVPQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Autocorrelation function of velocity increments time series in fully developed turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.flu-dyn","authors_text":"F. G. Schmitt, Y.L. Liu, Y.X. Huang, Z.M. Lu","submitted_at":"2014-01-17T00:49:57Z","abstract_excerpt":"In fully developed turbulence, the velocity field possesses long-range correlations, denoted by a scaling power spectrum or structure functions. Here we consider the autocorrelation function of velocity increment $ {\\Delta u_{\\ell}(t)}$ at separation {time} $\\ell$. Anselmet et al. [Anselmet et al. J. Fluid Mech. \\textbf{140}, 63 (1984)] have found that the autocorrelation function of velocity increment has a minimum value, whose location is approximately equal to $\\ell$. Taking statistical stationary assumption, we link the velocity increment and the autocorrelation function with the power spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4213","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":"2026-05-18T03:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I+LABaG+LCYlV/cHlmM83UVg25IX8Q+xWgVujzpCVqdwcWeJq9bIpeVGgNWgAC+DPyptLyZWE0spOi/iI9y3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:41:05.141330Z"},"content_sha256":"0485a0ea4c7dd35ec2ede152c0d62fb7ccde5b027b1d8d1deb2e68e6347a5939","schema_version":"1.0","event_id":"sha256:0485a0ea4c7dd35ec2ede152c0d62fb7ccde5b027b1d8d1deb2e68e6347a5939"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/bundle.json","state_url":"https://pith.science/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/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":"2026-06-02T11:41:05Z","links":{"resolver":"https://pith.science/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ","bundle":"https://pith.science/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/bundle.json","state":"https://pith.science/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGQLOWZSJYZEHV5ZULMBMVVVPQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LGQLOWZSJYZEHV5ZULMBMVVVPQ","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":"c57368198aa39c1ee10fe8d2136fa41323d83e467195e04e7d64726d0267a309","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:49:57Z","title_canon_sha256":"04e233db2c3209c928a183233ad76da0e24c277d34ec2461cf9cdcc846f24f46"},"schema_version":"1.0","source":{"id":"1401.4213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4213","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4213v1","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4213","created_at":"2026-05-18T03:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"LGQLOWZSJYZE","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LGQLOWZSJYZEHV5Z","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LGQLOWZS","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:0485a0ea4c7dd35ec2ede152c0d62fb7ccde5b027b1d8d1deb2e68e6347a5939","target":"graph","created_at":"2026-05-18T03:00:14Z","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":"In fully developed turbulence, the velocity field possesses long-range correlations, denoted by a scaling power spectrum or structure functions. Here we consider the autocorrelation function of velocity increment $ {\\Delta u_{\\ell}(t)}$ at separation {time} $\\ell$. Anselmet et al. [Anselmet et al. J. Fluid Mech. \\textbf{140}, 63 (1984)] have found that the autocorrelation function of velocity increment has a minimum value, whose location is approximately equal to $\\ell$. Taking statistical stationary assumption, we link the velocity increment and the autocorrelation function with the power spe","authors_text":"F. G. Schmitt, Y.L. Liu, Y.X. Huang, Z.M. Lu","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:49:57Z","title":"Autocorrelation function of velocity increments time series in fully developed turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4213","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:b7b8b448006a22761ba8b67a867053db66791d07ce7e3f2016f3772330a3d073","target":"record","created_at":"2026-05-18T03:00:14Z","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":"c57368198aa39c1ee10fe8d2136fa41323d83e467195e04e7d64726d0267a309","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:49:57Z","title_canon_sha256":"04e233db2c3209c928a183233ad76da0e24c277d34ec2461cf9cdcc846f24f46"},"schema_version":"1.0","source":{"id":"1401.4213","kind":"arxiv","version":1}},"canonical_sha256":"59a0b75b324e3243d7b9a2d81656b57c2c4d59e054e7ef6b88658699e3868a75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59a0b75b324e3243d7b9a2d81656b57c2c4d59e054e7ef6b88658699e3868a75","first_computed_at":"2026-05-18T03:00:14.292806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:14.292806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tMaalPLf3AL4TvQZ2uR1+c12qb8MHaKxQvoGeUJW5DkD6D8EJaMMFw/o5QLyH4lGvwLCXo0VAir3kvuyp7WvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:14.293970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.4213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7b8b448006a22761ba8b67a867053db66791d07ce7e3f2016f3772330a3d073","sha256:0485a0ea4c7dd35ec2ede152c0d62fb7ccde5b027b1d8d1deb2e68e6347a5939"],"state_sha256":"9ec71e56b14f8dea68b198646cd00368cc5d43df2b3c39689f73d897d5d1a467"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mbVO7ilzYEL0XxcmQHlv6j05nihPavshzttQOuVEplkKz9O93DkYFi52XopabUFUxAuVGqIpBRXms6gJmvFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:41:05.143328Z","bundle_sha256":"126029705ef599958b9540dc79e41fe6da7ab714f3728a4e300ae257f52bb8b5"}}