{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PWWJOE2ACIKX7E2QGLRKMTH5JY","short_pith_number":"pith:PWWJOE2A","canonical_record":{"source":{"id":"cond-mat/0607656","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-25T20:28:55Z","cross_cats_sorted":[],"title_canon_sha256":"b25654f13a90c1d2fc56118c83b2081caf2fb03a83bdb81421ed94b4bd88e38a","abstract_canon_sha256":"684c9a8c817c2595c1c8507d3345a17350c70c62870730df9817e5694479b176"},"schema_version":"1.0"},"canonical_sha256":"7dac97134012157f935032e2a64cfd4e1bc9b5beac4424fa19bad54d4463e296","source":{"kind":"arxiv","id":"cond-mat/0607656","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607656","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607656v2","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607656","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"pith_short_12","alias_value":"PWWJOE2ACIKX","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PWWJOE2ACIKX7E2Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PWWJOE2A","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PWWJOE2ACIKX7E2QGLRKMTH5JY","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0607656","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-25T20:28:55Z","cross_cats_sorted":[],"title_canon_sha256":"b25654f13a90c1d2fc56118c83b2081caf2fb03a83bdb81421ed94b4bd88e38a","abstract_canon_sha256":"684c9a8c817c2595c1c8507d3345a17350c70c62870730df9817e5694479b176"},"schema_version":"1.0"},"canonical_sha256":"7dac97134012157f935032e2a64cfd4e1bc9b5beac4424fa19bad54d4463e296","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:31.317890Z","signature_b64":"aEV25wW2DxBsm/VVcKN0UmK5nnGhOnyBtLVIiFohHwno5JsViQuhCeeZsXWKADjQx0v+4GFN/X6uY4UmNn0YBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7dac97134012157f935032e2a64cfd4e1bc9b5beac4424fa19bad54d4463e296","last_reissued_at":"2026-05-18T03:24:31.317463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:31.317463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0607656","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":"2026-05-18T03:24:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GrJ4VJ8QtFSAs2p9N0a4bbXKfneVUSmNm2RZH9n3eJTDAkFQG5N/jjNNxL2b9fhDPG2U7rWsu5YXrJyTv5akBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:19:35.335498Z"},"content_sha256":"e8d30ba8c40fd7d18810b26625fa93bd4f33ac32d3c3d9743bfbce3b88701c9f","schema_version":"1.0","event_id":"sha256:e8d30ba8c40fd7d18810b26625fa93bd4f33ac32d3c3d9743bfbce3b88701c9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PWWJOE2ACIKX7E2QGLRKMTH5JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant flux relation for driven dissipative systems","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Colm Connaughton, Oleg Zaboronski, R. Rajesh","submitted_at":"2006-07-25T20:28:55Z","abstract_excerpt":"Conservation laws constrain the stationary state statistics of driven dissipative systems because the average flux of a conserved quantity between driving and dissipation scales should be constant. This requirement leads to a universal scaling law for flux-measuring correlation functions, which generalizes the 4/5-th law of Navier-Stokes turbulence. We demonstrate the utility of this simple idea by deriving new exact scaling relations for models of aggregating particle systems in the fluctuation-dominated regime and for energy and wave action cascades in models of strong wave turbulence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607656","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":"2026-05-18T03:24:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fW+YhS7ytdi89UKK7LEot9namMuIMTOOexi7QMHVj9CCpmY0hH3uL/aa26dYJoqCTeV7tiDVwlbnzz8OrCDCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:19:35.335833Z"},"content_sha256":"3fb735f55e9c1ffe9d86d438242eaad153a127bd43a96e2de28aed6b68a60621","schema_version":"1.0","event_id":"sha256:3fb735f55e9c1ffe9d86d438242eaad153a127bd43a96e2de28aed6b68a60621"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/bundle.json","state_url":"https://pith.science/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/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":"2026-06-02T04:19:35Z","links":{"resolver":"https://pith.science/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY","bundle":"https://pith.science/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/bundle.json","state":"https://pith.science/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWWJOE2ACIKX7E2QGLRKMTH5JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PWWJOE2ACIKX7E2QGLRKMTH5JY","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":"684c9a8c817c2595c1c8507d3345a17350c70c62870730df9817e5694479b176","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-25T20:28:55Z","title_canon_sha256":"b25654f13a90c1d2fc56118c83b2081caf2fb03a83bdb81421ed94b4bd88e38a"},"schema_version":"1.0","source":{"id":"cond-mat/0607656","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607656","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607656v2","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607656","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"pith_short_12","alias_value":"PWWJOE2ACIKX","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PWWJOE2ACIKX7E2Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PWWJOE2A","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:3fb735f55e9c1ffe9d86d438242eaad153a127bd43a96e2de28aed6b68a60621","target":"graph","created_at":"2026-05-18T03:24:31Z","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":"Conservation laws constrain the stationary state statistics of driven dissipative systems because the average flux of a conserved quantity between driving and dissipation scales should be constant. This requirement leads to a universal scaling law for flux-measuring correlation functions, which generalizes the 4/5-th law of Navier-Stokes turbulence. We demonstrate the utility of this simple idea by deriving new exact scaling relations for models of aggregating particle systems in the fluctuation-dominated regime and for energy and wave action cascades in models of strong wave turbulence.","authors_text":"Colm Connaughton, Oleg Zaboronski, R. Rajesh","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-25T20:28:55Z","title":"Constant flux relation for driven dissipative systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607656","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:e8d30ba8c40fd7d18810b26625fa93bd4f33ac32d3c3d9743bfbce3b88701c9f","target":"record","created_at":"2026-05-18T03:24:31Z","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":"684c9a8c817c2595c1c8507d3345a17350c70c62870730df9817e5694479b176","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-25T20:28:55Z","title_canon_sha256":"b25654f13a90c1d2fc56118c83b2081caf2fb03a83bdb81421ed94b4bd88e38a"},"schema_version":"1.0","source":{"id":"cond-mat/0607656","kind":"arxiv","version":2}},"canonical_sha256":"7dac97134012157f935032e2a64cfd4e1bc9b5beac4424fa19bad54d4463e296","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7dac97134012157f935032e2a64cfd4e1bc9b5beac4424fa19bad54d4463e296","first_computed_at":"2026-05-18T03:24:31.317463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:31.317463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aEV25wW2DxBsm/VVcKN0UmK5nnGhOnyBtLVIiFohHwno5JsViQuhCeeZsXWKADjQx0v+4GFN/X6uY4UmNn0YBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:31.317890Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0607656","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8d30ba8c40fd7d18810b26625fa93bd4f33ac32d3c3d9743bfbce3b88701c9f","sha256:3fb735f55e9c1ffe9d86d438242eaad153a127bd43a96e2de28aed6b68a60621"],"state_sha256":"67e7a3ea0b09b009ca99fd9dd72ab25c35908841112531a5b886b748a55eeed3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AVmsnXtD3g/5uIJ5npX/+ZtwZNvSlZL90MThsxa6xAZdqt8u9k9hWpYWJ/eulve1jvqjgIrSEexCIMFr9udhAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:19:35.337669Z","bundle_sha256":"3dca25c37a9c7c02dfb17e57f696e227eba419e9d80662dd01a47b3ade9fe853"}}