{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EIXXVEHSJUN77UG6UVUJWTTGDJ","short_pith_number":"pith:EIXXVEHS","canonical_record":{"source":{"id":"1109.6937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T19:53:49Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"a622cfc7810bea34c88a8966162e4bff844f78e573479cf0d06b02c44785e26a","abstract_canon_sha256":"3e241e8aa1f43cd94435d4606e60871479d97eaac5f27c7213d9819266f8d9ce"},"schema_version":"1.0"},"canonical_sha256":"222f7a90f24d1bffd0dea5689b4e661a5d09ffd49422e8d6913bf19146a8550e","source":{"kind":"arxiv","id":"1109.6937","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6937","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6937v2","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6937","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"EIXXVEHSJUN7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EIXXVEHSJUN77UG6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EIXXVEHS","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EIXXVEHSJUN77UG6UVUJWTTGDJ","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T19:53:49Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"a622cfc7810bea34c88a8966162e4bff844f78e573479cf0d06b02c44785e26a","abstract_canon_sha256":"3e241e8aa1f43cd94435d4606e60871479d97eaac5f27c7213d9819266f8d9ce"},"schema_version":"1.0"},"canonical_sha256":"222f7a90f24d1bffd0dea5689b4e661a5d09ffd49422e8d6913bf19146a8550e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:51.229452Z","signature_b64":"+tZuI4OIuE9jPjmLEbQfWpf6qO5BAwgGYigOl1fRihtjnDuEfkCdG+JxAIXT2c+FfTDLobXk9MrLiNVuOBxgBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"222f7a90f24d1bffd0dea5689b4e661a5d09ffd49422e8d6913bf19146a8550e","last_reissued_at":"2026-05-18T03:58:51.228884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:51.228884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6937","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":"2026-05-18T03:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gxnxC6lGy906Qq21L3Lg2T5RB6dqEqyLpLrNjvKUlwWkjUExttbb7WoB/yz7u03Y0A0OeK8tVpijZ0KD28SEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:56:18.770739Z"},"content_sha256":"76811c3acc23b4c23a4a6c84891d57095509f028de0e1a285b729a88c8de6b4d","schema_version":"1.0","event_id":"sha256:76811c3acc23b4c23a4a6c84891d57095509f028de0e1a285b729a88c8de6b4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EIXXVEHSJUN77UG6UVUJWTTGDJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP"],"primary_cat":"physics.flu-dyn","authors_text":"2) ((1) NORDITA, (2) Department of Astronomy, Axel Brandenburg (1, Chi-kwan Chan (1), Dhrubaditya Mitra (1), Stockholm University)","submitted_at":"2011-09-30T19:53:49Z","abstract_excerpt":"In two-dimensional forced Navier-Stokes turbulence, energy cascades to the largest scales in the system to form a pair of coherent vortices known as the Bose condensate. We show, both numerically and analytically, that the energy condensation saturates and the system reaches a statistically stationary state. The time scale of saturation is inversely proportional to the viscosity and the saturation energy level is determined by both the viscosity and the force. We further show that, without sufficient resolution to resolve the small-scale enstrophy spectrum, numerical simulations can give a spu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6937","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":"2026-05-18T03:58:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0at8qXOvx3toAsGPxEisX9k4/L+uD4WlruhtTryJKDY7OOP1b890/9xCm4c5JKjMYgPsM7lcYbm+H+YyGRHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:56:18.771536Z"},"content_sha256":"ea16974ee6b10d157c3077d9e85e7781f524d37148e5fa34db99c282ce182c2a","schema_version":"1.0","event_id":"sha256:ea16974ee6b10d157c3077d9e85e7781f524d37148e5fa34db99c282ce182c2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/bundle.json","state_url":"https://pith.science/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/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":"2026-06-11T21:56:18Z","links":{"resolver":"https://pith.science/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ","bundle":"https://pith.science/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/bundle.json","state":"https://pith.science/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIXXVEHSJUN77UG6UVUJWTTGDJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EIXXVEHSJUN77UG6UVUJWTTGDJ","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":"3e241e8aa1f43cd94435d4606e60871479d97eaac5f27c7213d9819266f8d9ce","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T19:53:49Z","title_canon_sha256":"a622cfc7810bea34c88a8966162e4bff844f78e573479cf0d06b02c44785e26a"},"schema_version":"1.0","source":{"id":"1109.6937","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6937","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6937v2","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6937","created_at":"2026-05-18T03:58:51Z"},{"alias_kind":"pith_short_12","alias_value":"EIXXVEHSJUN7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EIXXVEHSJUN77UG6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EIXXVEHS","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:ea16974ee6b10d157c3077d9e85e7781f524d37148e5fa34db99c282ce182c2a","target":"graph","created_at":"2026-05-18T03:58:51Z","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 two-dimensional forced Navier-Stokes turbulence, energy cascades to the largest scales in the system to form a pair of coherent vortices known as the Bose condensate. We show, both numerically and analytically, that the energy condensation saturates and the system reaches a statistically stationary state. The time scale of saturation is inversely proportional to the viscosity and the saturation energy level is determined by both the viscosity and the force. We further show that, without sufficient resolution to resolve the small-scale enstrophy spectrum, numerical simulations can give a spu","authors_text":"2) ((1) NORDITA, (2) Department of Astronomy, Axel Brandenburg (1, Chi-kwan Chan (1), Dhrubaditya Mitra (1), Stockholm University)","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T19:53:49Z","title":"Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6937","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":"sha256:76811c3acc23b4c23a4a6c84891d57095509f028de0e1a285b729a88c8de6b4d","target":"record","created_at":"2026-05-18T03:58:51Z","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":"3e241e8aa1f43cd94435d4606e60871479d97eaac5f27c7213d9819266f8d9ce","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T19:53:49Z","title_canon_sha256":"a622cfc7810bea34c88a8966162e4bff844f78e573479cf0d06b02c44785e26a"},"schema_version":"1.0","source":{"id":"1109.6937","kind":"arxiv","version":2}},"canonical_sha256":"222f7a90f24d1bffd0dea5689b4e661a5d09ffd49422e8d6913bf19146a8550e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"222f7a90f24d1bffd0dea5689b4e661a5d09ffd49422e8d6913bf19146a8550e","first_computed_at":"2026-05-18T03:58:51.228884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:51.228884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+tZuI4OIuE9jPjmLEbQfWpf6qO5BAwgGYigOl1fRihtjnDuEfkCdG+JxAIXT2c+FfTDLobXk9MrLiNVuOBxgBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:51.229452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6937","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76811c3acc23b4c23a4a6c84891d57095509f028de0e1a285b729a88c8de6b4d","sha256:ea16974ee6b10d157c3077d9e85e7781f524d37148e5fa34db99c282ce182c2a"],"state_sha256":"273f60e0f075f62c254c56c5eeec5b7e549a2513332e0285d59a2ac773cadf7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bo+x0C3l/If+1OE9+fL8CPuT13/RR7Lvwt9J6rhXloCBZHTMcBeRkCw0O+T49hhw4NbmpAc+FEtdm2APYHiNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:56:18.776458Z","bundle_sha256":"feac82f311e1d34e9967f8653cdd1303ee540c8e19a0c9d08ca47e5dd652eb58"}}