{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:RWSSG3PH7KY2S4K4HWX4VGTEGK","short_pith_number":"pith:RWSSG3PH","canonical_record":{"source":{"id":"chao-dyn/9909027","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1999-09-16T18:57:12Z","cross_cats_sorted":["cond-mat","nlin.CD","nlin.SI","solv-int"],"title_canon_sha256":"259d169321cf414ae55632c8ef23bf29acc1f8000a4600cf890a6db74179e4f7","abstract_canon_sha256":"65ab4faf2a1456e7523de0cb2f44ab52d18edd4ba86c66688a96d597fd11bfc4"},"schema_version":"1.0"},"canonical_sha256":"8da5236de7fab1a9715c3dafca9a6432ab76dd9182e9a66fc1b531e16a927557","source":{"kind":"arxiv","id":"chao-dyn/9909027","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9909027","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9909027v2","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9909027","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"RWSSG3PH7KY2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"RWSSG3PH7KY2S4K4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"RWSSG3PH","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:RWSSG3PH7KY2S4K4HWX4VGTEGK","target":"record","payload":{"canonical_record":{"source":{"id":"chao-dyn/9909027","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1999-09-16T18:57:12Z","cross_cats_sorted":["cond-mat","nlin.CD","nlin.SI","solv-int"],"title_canon_sha256":"259d169321cf414ae55632c8ef23bf29acc1f8000a4600cf890a6db74179e4f7","abstract_canon_sha256":"65ab4faf2a1456e7523de0cb2f44ab52d18edd4ba86c66688a96d597fd11bfc4"},"schema_version":"1.0"},"canonical_sha256":"8da5236de7fab1a9715c3dafca9a6432ab76dd9182e9a66fc1b531e16a927557","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:42.749971Z","signature_b64":"xfbDLCbvUDl4a8Yp+blRKhwLrhKR0XteLvhSXx/LBes8A3XJfo+CLkoA1mIBrW3a8asuhz5RiiMSnafcYmG7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8da5236de7fab1a9715c3dafca9a6432ab76dd9182e9a66fc1b531e16a927557","last_reissued_at":"2026-05-18T02:56:42.749546Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:42.749546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"chao-dyn/9909027","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":"2026-05-18T02:56:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olGygirWMFijXA+j91tfPCzqWoR+HqHOUWiCFcSbOXA45ZfNIJCq2HAjk65FOmjYIZ0HFnAd31mz+yoUDR1bAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:20:37.215981Z"},"content_sha256":"9abf733425021832a233c00a7fba95de3470e058d511d7d1206709556a143dec","schema_version":"1.0","event_id":"sha256:9abf733425021832a233c00a7fba95de3470e058d511d7d1206709556a143dec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:RWSSG3PH7KY2S4K4HWX4VGTEGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the large time asymptotics of decaying Burgers turbulence","license":"","headline":"","cross_cats":["cond-mat","nlin.CD","nlin.SI","solv-int"],"primary_cat":"chao-dyn","authors_text":"Oleg Zaboronski, Roger Tribe","submitted_at":"1999-09-16T18:57:12Z","abstract_excerpt":"The decay of Burgers turbulence with compactly supported Gaussian \"white noise\" initial conditions is studied in the limit of vanishing viscosity and large time. Probability distribution functions and moments for both velocities and velocity differences are computed exactly, together with the \"time-like\" structure functions .\n  The analysis of the answers reveals both well known features of Burgers turbulence, such as the presence of dissipative anomaly, the extreme anomalous scaling of the velocity structure functions and self similarity of the statistics of the velocity field, and new featur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9909027","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":"2026-05-18T02:56:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+mzdJKfrwPhO8tsPDpvOrUVVSs4XwLCZYXWCYHRNNgsNi/ZSRmZ01qhkcESxaTj1lgWxbwYEmihzMLdcLrXrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:20:37.216381Z"},"content_sha256":"23d916921216dc5fbe276f939a9cab646952dd42ed78d7b30771e3b4f7da1827","schema_version":"1.0","event_id":"sha256:23d916921216dc5fbe276f939a9cab646952dd42ed78d7b30771e3b4f7da1827"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/bundle.json","state_url":"https://pith.science/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/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":"2026-05-27T17:20:37Z","links":{"resolver":"https://pith.science/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK","bundle":"https://pith.science/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/bundle.json","state":"https://pith.science/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RWSSG3PH7KY2S4K4HWX4VGTEGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:RWSSG3PH7KY2S4K4HWX4VGTEGK","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":"65ab4faf2a1456e7523de0cb2f44ab52d18edd4ba86c66688a96d597fd11bfc4","cross_cats_sorted":["cond-mat","nlin.CD","nlin.SI","solv-int"],"license":"","primary_cat":"chao-dyn","submitted_at":"1999-09-16T18:57:12Z","title_canon_sha256":"259d169321cf414ae55632c8ef23bf29acc1f8000a4600cf890a6db74179e4f7"},"schema_version":"1.0","source":{"id":"chao-dyn/9909027","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9909027","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9909027v2","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9909027","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"RWSSG3PH7KY2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"RWSSG3PH7KY2S4K4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"RWSSG3PH","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:23d916921216dc5fbe276f939a9cab646952dd42ed78d7b30771e3b4f7da1827","target":"graph","created_at":"2026-05-18T02:56:42Z","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":"The decay of Burgers turbulence with compactly supported Gaussian \"white noise\" initial conditions is studied in the limit of vanishing viscosity and large time. Probability distribution functions and moments for both velocities and velocity differences are computed exactly, together with the \"time-like\" structure functions .\n  The analysis of the answers reveals both well known features of Burgers turbulence, such as the presence of dissipative anomaly, the extreme anomalous scaling of the velocity structure functions and self similarity of the statistics of the velocity field, and new featur","authors_text":"Oleg Zaboronski, Roger Tribe","cross_cats":["cond-mat","nlin.CD","nlin.SI","solv-int"],"headline":"","license":"","primary_cat":"chao-dyn","submitted_at":"1999-09-16T18:57:12Z","title":"On the large time asymptotics of decaying Burgers turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9909027","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":"sha256:9abf733425021832a233c00a7fba95de3470e058d511d7d1206709556a143dec","target":"record","created_at":"2026-05-18T02:56:42Z","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":"65ab4faf2a1456e7523de0cb2f44ab52d18edd4ba86c66688a96d597fd11bfc4","cross_cats_sorted":["cond-mat","nlin.CD","nlin.SI","solv-int"],"license":"","primary_cat":"chao-dyn","submitted_at":"1999-09-16T18:57:12Z","title_canon_sha256":"259d169321cf414ae55632c8ef23bf29acc1f8000a4600cf890a6db74179e4f7"},"schema_version":"1.0","source":{"id":"chao-dyn/9909027","kind":"arxiv","version":2}},"canonical_sha256":"8da5236de7fab1a9715c3dafca9a6432ab76dd9182e9a66fc1b531e16a927557","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8da5236de7fab1a9715c3dafca9a6432ab76dd9182e9a66fc1b531e16a927557","first_computed_at":"2026-05-18T02:56:42.749546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:42.749546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xfbDLCbvUDl4a8Yp+blRKhwLrhKR0XteLvhSXx/LBes8A3XJfo+CLkoA1mIBrW3a8asuhz5RiiMSnafcYmG7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:42.749971Z","signed_message":"canonical_sha256_bytes"},"source_id":"chao-dyn/9909027","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9abf733425021832a233c00a7fba95de3470e058d511d7d1206709556a143dec","sha256:23d916921216dc5fbe276f939a9cab646952dd42ed78d7b30771e3b4f7da1827"],"state_sha256":"97a171c4e1ad161ca1aa7c9333bedd05849aa8c9a0281178f5ebacd59ca554e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oOvJRz4V6cMJhuDMuNtVZZo8vLDMdLmRx1SxjdIhPbtm3pD4Kjxo3OI9UX5fIl92z2k2wN1XwVF91FOEaErCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:20:37.218581Z","bundle_sha256":"651ea8e27d80548d5d54e65d2af99760b928015f391b25d306f7ad4d397dbfc4"}}