{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SEYH2VLV6MFAGGL5IRUKQ244NG","short_pith_number":"pith:SEYH2VLV","canonical_record":{"source":{"id":"1006.4110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-06-21T16:19:59Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"f1bfe9a7ceffa141a299fa49a2d80ed757930ae1db89c502d77b773a2d9214b0","abstract_canon_sha256":"aafe2afdf75147c599d69853ba854d4dd0684b62ec6242e7106783e1f761e309"},"schema_version":"1.0"},"canonical_sha256":"91307d5575f30a03197d4468a86b9c6982ddeeba01b406595956205e9ff83faf","source":{"kind":"arxiv","id":"1006.4110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4110","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4110v1","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4110","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"SEYH2VLV6MFA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SEYH2VLV6MFAGGL5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SEYH2VLV","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SEYH2VLV6MFAGGL5IRUKQ244NG","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-06-21T16:19:59Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"f1bfe9a7ceffa141a299fa49a2d80ed757930ae1db89c502d77b773a2d9214b0","abstract_canon_sha256":"aafe2afdf75147c599d69853ba854d4dd0684b62ec6242e7106783e1f761e309"},"schema_version":"1.0"},"canonical_sha256":"91307d5575f30a03197d4468a86b9c6982ddeeba01b406595956205e9ff83faf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:44.035243Z","signature_b64":"RRjHQOxQkHyrfCzEFwWYh/3SF1TVk2iSRQu4v8CnOO6bHr6lXhDbpv8fvOp7obZU8D2P9ucQdB4w2evas+7PDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91307d5575f30a03197d4468a86b9c6982ddeeba01b406595956205e9ff83faf","last_reissued_at":"2026-05-18T02:06:44.034627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:44.034627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4110","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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m+PPJyvjN8W/ALb1muyqrZI3mEbmXVg1H6G6fichkWI5cmY9nem0UDIEB2wXbIkdEz+wWhUqIaf8lMQoelO5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:42:13.908996Z"},"content_sha256":"5a6cb5d729a19ddfb1a18082f34845045b999be17230e9cd56aa651a2abeb596","schema_version":"1.0","event_id":"sha256:5a6cb5d729a19ddfb1a18082f34845045b999be17230e9cd56aa651a2abeb596"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SEYH2VLV6MFAGGL5IRUKQ244NG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An update on the double cascade scenario in two-dimensional turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"G. Boffetta, S. Musacchio","submitted_at":"2010-06-21T16:19:59Z","abstract_excerpt":"Statistical features of homogeneous, isotropic, two-dimensional turbulence is discussed on the basis of a set of direct numerical simulations up to the unprecedented resolution $32768^2$. By forcing the system at intermediate scales, narrow but clear inertial ranges develop both for the inverse and for direct cascades where the two Kolmogorov laws for structure functions are, for the first time, simultaneously observed. The inverse cascade spectrum is found to be consistent with Kolmogorov-Kraichnan prediction and is robust with respect the presence of an enstrophy flux. The direct cascade is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4110","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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nKPOpAxpLs/mJnR02L4yqztNnLHQool6L/8hkOEkbODfBFpCgKhKIMk6aGbpmNnttKeOB3XugxnhB7+4sKoSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:42:13.909691Z"},"content_sha256":"1fc569060f328bab0daee607742f05f5ff0b649c7d7a84746549e196f1df6710","schema_version":"1.0","event_id":"sha256:1fc569060f328bab0daee607742f05f5ff0b649c7d7a84746549e196f1df6710"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/bundle.json","state_url":"https://pith.science/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/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":"2026-05-27T03:42:13Z","links":{"resolver":"https://pith.science/pith/SEYH2VLV6MFAGGL5IRUKQ244NG","bundle":"https://pith.science/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/bundle.json","state":"https://pith.science/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEYH2VLV6MFAGGL5IRUKQ244NG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SEYH2VLV6MFAGGL5IRUKQ244NG","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":"aafe2afdf75147c599d69853ba854d4dd0684b62ec6242e7106783e1f761e309","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-06-21T16:19:59Z","title_canon_sha256":"f1bfe9a7ceffa141a299fa49a2d80ed757930ae1db89c502d77b773a2d9214b0"},"schema_version":"1.0","source":{"id":"1006.4110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4110","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4110v1","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4110","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"SEYH2VLV6MFA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SEYH2VLV6MFAGGL5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SEYH2VLV","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:1fc569060f328bab0daee607742f05f5ff0b649c7d7a84746549e196f1df6710","target":"graph","created_at":"2026-05-18T02:06:44Z","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":"Statistical features of homogeneous, isotropic, two-dimensional turbulence is discussed on the basis of a set of direct numerical simulations up to the unprecedented resolution $32768^2$. By forcing the system at intermediate scales, narrow but clear inertial ranges develop both for the inverse and for direct cascades where the two Kolmogorov laws for structure functions are, for the first time, simultaneously observed. The inverse cascade spectrum is found to be consistent with Kolmogorov-Kraichnan prediction and is robust with respect the presence of an enstrophy flux. The direct cascade is ","authors_text":"G. Boffetta, S. Musacchio","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-06-21T16:19:59Z","title":"An update on the double cascade scenario in two-dimensional turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4110","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":"sha256:5a6cb5d729a19ddfb1a18082f34845045b999be17230e9cd56aa651a2abeb596","target":"record","created_at":"2026-05-18T02:06:44Z","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":"aafe2afdf75147c599d69853ba854d4dd0684b62ec6242e7106783e1f761e309","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-06-21T16:19:59Z","title_canon_sha256":"f1bfe9a7ceffa141a299fa49a2d80ed757930ae1db89c502d77b773a2d9214b0"},"schema_version":"1.0","source":{"id":"1006.4110","kind":"arxiv","version":1}},"canonical_sha256":"91307d5575f30a03197d4468a86b9c6982ddeeba01b406595956205e9ff83faf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91307d5575f30a03197d4468a86b9c6982ddeeba01b406595956205e9ff83faf","first_computed_at":"2026-05-18T02:06:44.034627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:44.034627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRjHQOxQkHyrfCzEFwWYh/3SF1TVk2iSRQu4v8CnOO6bHr6lXhDbpv8fvOp7obZU8D2P9ucQdB4w2evas+7PDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:44.035243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a6cb5d729a19ddfb1a18082f34845045b999be17230e9cd56aa651a2abeb596","sha256:1fc569060f328bab0daee607742f05f5ff0b649c7d7a84746549e196f1df6710"],"state_sha256":"ddc68b316165400023485de90e40b09e9168538abe60e95fbf323f9699f4de5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BCWjckC2/yHAhRnxybvZNGfuK4I5Bm7/8WVIyKaoJW3y0JGtcMpZLXpZaQ9IDm9mlf0p7iakzMU9nkE7ROVcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:42:13.913237Z","bundle_sha256":"4decd75264674a0d8b926fca161479cff9dcc638f3b4035c0d8f56cb41ae5497"}}