{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:I2MXRXXZWJHZXP7D2R3J7VWTY6","short_pith_number":"pith:I2MXRXXZ","canonical_record":{"source":{"id":"1607.01038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-07-04T20:19:25Z","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"c5d3f5b3c6fc51eed257efc75cb492f36857d0d89cec9c5defa28ea20665857e","abstract_canon_sha256":"59e7f420f3cd5c9b05dbf890808b236bc70a5e01f73947725e58d9c27e883d31"},"schema_version":"1.0"},"canonical_sha256":"469978def9b24f9bbfe3d4769fd6d3c794f850a3d10428fae642f9a968c2b946","source":{"kind":"arxiv","id":"1607.01038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01038","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01038v1","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01038","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"I2MXRXXZWJHZ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I2MXRXXZWJHZXP7D","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I2MXRXXZ","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:I2MXRXXZWJHZXP7D2R3J7VWTY6","target":"record","payload":{"canonical_record":{"source":{"id":"1607.01038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-07-04T20:19:25Z","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"c5d3f5b3c6fc51eed257efc75cb492f36857d0d89cec9c5defa28ea20665857e","abstract_canon_sha256":"59e7f420f3cd5c9b05dbf890808b236bc70a5e01f73947725e58d9c27e883d31"},"schema_version":"1.0"},"canonical_sha256":"469978def9b24f9bbfe3d4769fd6d3c794f850a3d10428fae642f9a968c2b946","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:46.133428Z","signature_b64":"C9280FDGk30/t+aA2E+qCVzoKIiucMKFc8XCSAn2ycxu1Gnc2m3wAsZZK9xVXxYv9r68lLBqkBc4LnnLkhjIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"469978def9b24f9bbfe3d4769fd6d3c794f850a3d10428fae642f9a968c2b946","last_reissued_at":"2026-05-18T00:55:46.132791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:46.132791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.01038","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":"2026-05-18T00:55:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lEawUaqx1Fn/Tl1iOt8I/GJ3Iqr+tShiD6GtPRALrQxrWlmtcyrKAxavPivbLU+uCU6jY5nV9ZMZTldCAyUdDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:05:02.733968Z"},"content_sha256":"1f3e50e1c43873204f08e06a8990c06a8207eb25b8992ba591e955246a68615d","schema_version":"1.0","event_id":"sha256:1f3e50e1c43873204f08e06a8990c06a8207eb25b8992ba591e955246a68615d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:I2MXRXXZWJHZXP7D2R3J7VWTY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical theory of reversals in two-dimensional confined turbulent flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Marc Brachet, Stephan Fauve, Vishwanath Shukla","submitted_at":"2016-07-04T20:19:25Z","abstract_excerpt":"It is shown that the Truncated Euler Equations, i.e. a finite set of ordinary differential equations for the amplitude of the large-scale modes, can correctly describe the complex transitional dynamics that occur within the turbulent regime of a confined 2D Navier-Stokes flow with bottom friction and a spatially periodic forcing. In particular, the random reversals of the large scale circulation on the turbulent background involve bifurcations of the probability distribution function of the large-scale circulation velocity that are described by the related microcanonical distribution which dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01038","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":"2026-05-18T00:55:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mykkdev016SoTI7hAPkz9RRR2RLy9togQ8fYxN3BF5qECl9bXDKaUA6A1X5ENE7iZLzcj8MB62BMOH3lgYFjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:05:02.734661Z"},"content_sha256":"01b37a301b99f058d4147699002f7856328c59abac74358c7aed1f6a0a7e0142","schema_version":"1.0","event_id":"sha256:01b37a301b99f058d4147699002f7856328c59abac74358c7aed1f6a0a7e0142"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/bundle.json","state_url":"https://pith.science/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/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":"2026-05-26T02:05:02Z","links":{"resolver":"https://pith.science/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6","bundle":"https://pith.science/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/bundle.json","state":"https://pith.science/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2MXRXXZWJHZXP7D2R3J7VWTY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I2MXRXXZWJHZXP7D2R3J7VWTY6","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":"59e7f420f3cd5c9b05dbf890808b236bc70a5e01f73947725e58d9c27e883d31","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-07-04T20:19:25Z","title_canon_sha256":"c5d3f5b3c6fc51eed257efc75cb492f36857d0d89cec9c5defa28ea20665857e"},"schema_version":"1.0","source":{"id":"1607.01038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01038","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01038v1","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01038","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"I2MXRXXZWJHZ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I2MXRXXZWJHZXP7D","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I2MXRXXZ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:01b37a301b99f058d4147699002f7856328c59abac74358c7aed1f6a0a7e0142","target":"graph","created_at":"2026-05-18T00:55:46Z","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":"It is shown that the Truncated Euler Equations, i.e. a finite set of ordinary differential equations for the amplitude of the large-scale modes, can correctly describe the complex transitional dynamics that occur within the turbulent regime of a confined 2D Navier-Stokes flow with bottom friction and a spatially periodic forcing. In particular, the random reversals of the large scale circulation on the turbulent background involve bifurcations of the probability distribution function of the large-scale circulation velocity that are described by the related microcanonical distribution which dis","authors_text":"Marc Brachet, Stephan Fauve, Vishwanath Shukla","cross_cats":["cond-mat.stat-mech","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-07-04T20:19:25Z","title":"Statistical theory of reversals in two-dimensional confined turbulent flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01038","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":"sha256:1f3e50e1c43873204f08e06a8990c06a8207eb25b8992ba591e955246a68615d","target":"record","created_at":"2026-05-18T00:55:46Z","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":"59e7f420f3cd5c9b05dbf890808b236bc70a5e01f73947725e58d9c27e883d31","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-07-04T20:19:25Z","title_canon_sha256":"c5d3f5b3c6fc51eed257efc75cb492f36857d0d89cec9c5defa28ea20665857e"},"schema_version":"1.0","source":{"id":"1607.01038","kind":"arxiv","version":1}},"canonical_sha256":"469978def9b24f9bbfe3d4769fd6d3c794f850a3d10428fae642f9a968c2b946","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"469978def9b24f9bbfe3d4769fd6d3c794f850a3d10428fae642f9a968c2b946","first_computed_at":"2026-05-18T00:55:46.132791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:46.132791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9280FDGk30/t+aA2E+qCVzoKIiucMKFc8XCSAn2ycxu1Gnc2m3wAsZZK9xVXxYv9r68lLBqkBc4LnnLkhjIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:46.133428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f3e50e1c43873204f08e06a8990c06a8207eb25b8992ba591e955246a68615d","sha256:01b37a301b99f058d4147699002f7856328c59abac74358c7aed1f6a0a7e0142"],"state_sha256":"c7ec1f39e1c47f7db2a6232810f9f6202aec5225422b9136c0bc4333307a592c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LDSigjFcYEum4eFnCxDKRvFd6OPa/sJ43ugfzE4QDPfBa4bFMw0EAJHs36/81tn6U4VZEXg8slf2wcIwPjMgAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:05:02.738593Z","bundle_sha256":"4fe830b57b3fdd883e5dad227f6684e1c95d51f2c22cced1b363ba7ae0a79d25"}}