{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HXFHXAMOWUKBZD5OJXQWAV62U3","short_pith_number":"pith:HXFHXAMO","canonical_record":{"source":{"id":"1804.09200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-24T18:25:31Z","cross_cats_sorted":[],"title_canon_sha256":"8fd3770d0cd4fe4be5443410e9fccd35fadf4d825ed1aae473fe6434d7c0989e","abstract_canon_sha256":"4050e249c069b89def9a7f8ceccf132235af56b40938bbe437ece8767c6db2a6"},"schema_version":"1.0"},"canonical_sha256":"3dca7b818eb5141c8fae4de16057daa6fb4b412f1fa5fc4ba455ffedab526e1a","source":{"kind":"arxiv","id":"1804.09200","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09200","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09200v2","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09200","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"HXFHXAMOWUKB","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HXFHXAMOWUKBZD5O","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HXFHXAMO","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HXFHXAMOWUKBZD5OJXQWAV62U3","target":"record","payload":{"canonical_record":{"source":{"id":"1804.09200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-24T18:25:31Z","cross_cats_sorted":[],"title_canon_sha256":"8fd3770d0cd4fe4be5443410e9fccd35fadf4d825ed1aae473fe6434d7c0989e","abstract_canon_sha256":"4050e249c069b89def9a7f8ceccf132235af56b40938bbe437ece8767c6db2a6"},"schema_version":"1.0"},"canonical_sha256":"3dca7b818eb5141c8fae4de16057daa6fb4b412f1fa5fc4ba455ffedab526e1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:39.060638Z","signature_b64":"FJnIKjRUkTtNeYajvptjxd4oZhyHp01hurZ2amovb2+i+Ffh4n5X+6jwSkbFrjE3w7C31oVhCu0eRilOVro7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dca7b818eb5141c8fae4de16057daa6fb4b412f1fa5fc4ba455ffedab526e1a","last_reissued_at":"2026-05-18T00:05:39.060081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:39.060081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.09200","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":"2026-05-18T00:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fEP8SygreFW+EaLjv3W39C1kyLFChT+RBQLK3ueytGoD+J05syuQqC4y7q8IwcR0gcJRcpd2BHuDQxFKa41mBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:42:14.485898Z"},"content_sha256":"ffcfd8f48773a3f3025aae714b2b052aa3e78f51016037725637d60f344b7425","schema_version":"1.0","event_id":"sha256:ffcfd8f48773a3f3025aae714b2b052aa3e78f51016037725637d60f344b7425"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HXFHXAMOWUKBZD5OJXQWAV62U3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Georgios Margazoglou, Jan Friedrich, Luca Biferale, Rainer Grauer","submitted_at":"2018-04-24T18:25:31Z","abstract_excerpt":"We compare different approaches towards an effective description of multi-scale velocity field correlations in turbulence. Predictions made by the operator product expansion, the so-called fusion rules, are placed in juxtaposition to an approach that interprets the turbulent energy cascade in terms of a Markov process of velocity increments in scale. We explicitly show that the fusion rules are a direct consequence of the Markov property provided that the structure functions exhibit scaling in the inertial range. Furthermore, the limit case of joint velocity gradient and velocity increment sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09200","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":"2026-05-18T00:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dnBhn6/XPZk5ZIr+jVT7Wasfnz04CchLs4K7s+05FvZPTKuPx+9RgWy9UBNTsLkLZewWp4lEg7rIi1L9dcFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:42:14.486534Z"},"content_sha256":"136a6ed1fc526575cfd4782a2386a895d754d2a3a8d10cbb184fa7e62aa3edde","schema_version":"1.0","event_id":"sha256:136a6ed1fc526575cfd4782a2386a895d754d2a3a8d10cbb184fa7e62aa3edde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/bundle.json","state_url":"https://pith.science/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/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":"2026-06-08T20:42:14Z","links":{"resolver":"https://pith.science/pith/HXFHXAMOWUKBZD5OJXQWAV62U3","bundle":"https://pith.science/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/bundle.json","state":"https://pith.science/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXFHXAMOWUKBZD5OJXQWAV62U3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HXFHXAMOWUKBZD5OJXQWAV62U3","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":"4050e249c069b89def9a7f8ceccf132235af56b40938bbe437ece8767c6db2a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-24T18:25:31Z","title_canon_sha256":"8fd3770d0cd4fe4be5443410e9fccd35fadf4d825ed1aae473fe6434d7c0989e"},"schema_version":"1.0","source":{"id":"1804.09200","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09200","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09200v2","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09200","created_at":"2026-05-18T00:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"HXFHXAMOWUKB","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HXFHXAMOWUKBZD5O","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HXFHXAMO","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:136a6ed1fc526575cfd4782a2386a895d754d2a3a8d10cbb184fa7e62aa3edde","target":"graph","created_at":"2026-05-18T00:05:39Z","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 compare different approaches towards an effective description of multi-scale velocity field correlations in turbulence. Predictions made by the operator product expansion, the so-called fusion rules, are placed in juxtaposition to an approach that interprets the turbulent energy cascade in terms of a Markov process of velocity increments in scale. We explicitly show that the fusion rules are a direct consequence of the Markov property provided that the structure functions exhibit scaling in the inertial range. Furthermore, the limit case of joint velocity gradient and velocity increment sta","authors_text":"Georgios Margazoglou, Jan Friedrich, Luca Biferale, Rainer Grauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-24T18:25:31Z","title":"Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09200","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:ffcfd8f48773a3f3025aae714b2b052aa3e78f51016037725637d60f344b7425","target":"record","created_at":"2026-05-18T00:05:39Z","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":"4050e249c069b89def9a7f8ceccf132235af56b40938bbe437ece8767c6db2a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-24T18:25:31Z","title_canon_sha256":"8fd3770d0cd4fe4be5443410e9fccd35fadf4d825ed1aae473fe6434d7c0989e"},"schema_version":"1.0","source":{"id":"1804.09200","kind":"arxiv","version":2}},"canonical_sha256":"3dca7b818eb5141c8fae4de16057daa6fb4b412f1fa5fc4ba455ffedab526e1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dca7b818eb5141c8fae4de16057daa6fb4b412f1fa5fc4ba455ffedab526e1a","first_computed_at":"2026-05-18T00:05:39.060081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:39.060081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FJnIKjRUkTtNeYajvptjxd4oZhyHp01hurZ2amovb2+i+Ffh4n5X+6jwSkbFrjE3w7C31oVhCu0eRilOVro7DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:39.060638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09200","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffcfd8f48773a3f3025aae714b2b052aa3e78f51016037725637d60f344b7425","sha256:136a6ed1fc526575cfd4782a2386a895d754d2a3a8d10cbb184fa7e62aa3edde"],"state_sha256":"9cefdad1c1f43856a557b1cccf2863ef18db137334da28be14b1e65bfb8155c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dGlZnbyeRvJxPxpuGXvYVeaBCD7Js+ZbB8qkMCq32K/H5FhR6cwbv0DeFn33e8dUW1VB5hlexLeF9HrwCye3BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:42:14.489872Z","bundle_sha256":"7b2b905e1831aedb498aa4c85d07960bffb5d4567489e6e87c1361f348a55ee8"}}