{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5A2XWE4D7ZABQS3K22DVP543JL","short_pith_number":"pith:5A2XWE4D","canonical_record":{"source":{"id":"2606.21484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-19T14:34:29Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"9c8dfd4f1ca15b64b6c8bc9d32fd0ae2c48a98e62a2ec1523fa7726e3d1338bb","abstract_canon_sha256":"88310766fd3a384225049f3a30574d7f8cef101f8c500179a37841ec83aa5fe2"},"schema_version":"1.0"},"canonical_sha256":"e8357b1383fe40184b6ad68757f79b4ad682202bfa34273d370ddfa82fd25263","source":{"kind":"arxiv","id":"2606.21484","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21484","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21484v1","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21484","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"5A2XWE4D7ZAB","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_16","alias_value":"5A2XWE4D7ZABQS3K","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_8","alias_value":"5A2XWE4D","created_at":"2026-06-23T01:13:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5A2XWE4D7ZABQS3K22DVP543JL","target":"record","payload":{"canonical_record":{"source":{"id":"2606.21484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-19T14:34:29Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"9c8dfd4f1ca15b64b6c8bc9d32fd0ae2c48a98e62a2ec1523fa7726e3d1338bb","abstract_canon_sha256":"88310766fd3a384225049f3a30574d7f8cef101f8c500179a37841ec83aa5fe2"},"schema_version":"1.0"},"canonical_sha256":"e8357b1383fe40184b6ad68757f79b4ad682202bfa34273d370ddfa82fd25263","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:11.894744Z","signature_b64":"k410+EVqauqD0D14Zb4HsR9xxOVbX3+xgIAY3tuLFOEu5fWSnsUPAjzEpqVddJKroWLfWo2exXVNMlkAO1HpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8357b1383fe40184b6ad68757f79b4ad682202bfa34273d370ddfa82fd25263","last_reissued_at":"2026-06-23T01:13:11.894237Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:11.894237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.21484","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":"2026-06-23T01:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OmI7O6MWH7UjtgRvcnC93wpYRJJDR5yl+R8tjwyZZksJnkroiow/bZU3fmjYUjNPQwFtgVJ39ne4MAom1wQUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:01:10.562509Z"},"content_sha256":"c0dd77884bb549b3f24b1701655be2f367b6a464fc221cae09d95b4f5d9d48f6","schema_version":"1.0","event_id":"sha256:c0dd77884bb549b3f24b1701655be2f367b6a464fc221cae09d95b4f5d9d48f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5A2XWE4D7ZABQS3K22DVP543JL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multifractal sets of coherent and incoherent vortices in turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Daiki Watanabe, Susumu Goto, Tsuyoshi Yoneda","submitted_at":"2026-06-19T14:34:29Z","abstract_excerpt":"We numerically verify multifractal theory (Frisch and Parisi 1985) for turbulence using simulation data at a high Reynolds number. First, we propose a simple method to directly estimate the multifractal dimension $D(h)$ of vortical structures with a given H\\\"older exponent $h$. Thus measured $D(h)$ is in good agreement with indirectly measured experimental data. Then, we demonstrate that these structures for $h\\ll1/3$ form the hierarchy of coherent eddies, while those for $h\\gg1/3$ are featureless."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21484","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.21484/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T01:13:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCaeRnGsH6gtGmByhA/95vDLIltC1vCa+Azsm7Hw059QHYm73arSW6ArvI2SWTExVCDhzFhCkDTr7riSpHjUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:01:10.562888Z"},"content_sha256":"63fbda1550015d1f2b5ede9ae0b1b650681555d294a8fd447f2c5d4bc84e1e1d","schema_version":"1.0","event_id":"sha256:63fbda1550015d1f2b5ede9ae0b1b650681555d294a8fd447f2c5d4bc84e1e1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5A2XWE4D7ZABQS3K22DVP543JL/bundle.json","state_url":"https://pith.science/pith/5A2XWE4D7ZABQS3K22DVP543JL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5A2XWE4D7ZABQS3K22DVP543JL/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":"2026-06-24T05:01:10Z","links":{"resolver":"https://pith.science/pith/5A2XWE4D7ZABQS3K22DVP543JL","bundle":"https://pith.science/pith/5A2XWE4D7ZABQS3K22DVP543JL/bundle.json","state":"https://pith.science/pith/5A2XWE4D7ZABQS3K22DVP543JL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5A2XWE4D7ZABQS3K22DVP543JL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5A2XWE4D7ZABQS3K22DVP543JL","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":"88310766fd3a384225049f3a30574d7f8cef101f8c500179a37841ec83aa5fe2","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-19T14:34:29Z","title_canon_sha256":"9c8dfd4f1ca15b64b6c8bc9d32fd0ae2c48a98e62a2ec1523fa7726e3d1338bb"},"schema_version":"1.0","source":{"id":"2606.21484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21484","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21484v1","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21484","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"5A2XWE4D7ZAB","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_16","alias_value":"5A2XWE4D7ZABQS3K","created_at":"2026-06-23T01:13:11Z"},{"alias_kind":"pith_short_8","alias_value":"5A2XWE4D","created_at":"2026-06-23T01:13:11Z"}],"graph_snapshots":[{"event_id":"sha256:63fbda1550015d1f2b5ede9ae0b1b650681555d294a8fd447f2c5d4bc84e1e1d","target":"graph","created_at":"2026-06-23T01:13:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.21484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We numerically verify multifractal theory (Frisch and Parisi 1985) for turbulence using simulation data at a high Reynolds number. First, we propose a simple method to directly estimate the multifractal dimension $D(h)$ of vortical structures with a given H\\\"older exponent $h$. Thus measured $D(h)$ is in good agreement with indirectly measured experimental data. Then, we demonstrate that these structures for $h\\ll1/3$ form the hierarchy of coherent eddies, while those for $h\\gg1/3$ are featureless.","authors_text":"Daiki Watanabe, Susumu Goto, Tsuyoshi Yoneda","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-19T14:34:29Z","title":"Multifractal sets of coherent and incoherent vortices in turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21484","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:c0dd77884bb549b3f24b1701655be2f367b6a464fc221cae09d95b4f5d9d48f6","target":"record","created_at":"2026-06-23T01:13:11Z","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":"88310766fd3a384225049f3a30574d7f8cef101f8c500179a37841ec83aa5fe2","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-19T14:34:29Z","title_canon_sha256":"9c8dfd4f1ca15b64b6c8bc9d32fd0ae2c48a98e62a2ec1523fa7726e3d1338bb"},"schema_version":"1.0","source":{"id":"2606.21484","kind":"arxiv","version":1}},"canonical_sha256":"e8357b1383fe40184b6ad68757f79b4ad682202bfa34273d370ddfa82fd25263","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8357b1383fe40184b6ad68757f79b4ad682202bfa34273d370ddfa82fd25263","first_computed_at":"2026-06-23T01:13:11.894237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:11.894237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k410+EVqauqD0D14Zb4HsR9xxOVbX3+xgIAY3tuLFOEu5fWSnsUPAjzEpqVddJKroWLfWo2exXVNMlkAO1HpCA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:11.894744Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0dd77884bb549b3f24b1701655be2f367b6a464fc221cae09d95b4f5d9d48f6","sha256:63fbda1550015d1f2b5ede9ae0b1b650681555d294a8fd447f2c5d4bc84e1e1d"],"state_sha256":"2a8b7d23df84df06a70e39d2ba341088f155a18df67427967ba4864a9954950f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZwIVgpHCPQrDf6AT16h4dHDznRzmuqp+M8uWOSmyRCjbXIWbvIvdDBcNaE55HpjwLLbn4ieadWwCOgbiz/k3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:01:10.564916Z","bundle_sha256":"d3e53ecf00b50f63108ebb8184a342ee1122566c0f7eda029cddd67e76238eef"}}