{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VA3OWHWUJ5JNXY2OTKQBVXPL7Y","short_pith_number":"pith:VA3OWHWU","canonical_record":{"source":{"id":"1008.0096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-07-31T14:39:39Z","cross_cats_sorted":["cond-mat.other","physics.flu-dyn"],"title_canon_sha256":"4ab183281a8251ced41f5e9e0746bff30daa8721c391fcb6c8e38db9dc5b8bfb","abstract_canon_sha256":"9ff7169754e98b3ae996d8340cf94fa966dd6d7dd2d1b2b19458d949d1893ebe"},"schema_version":"1.0"},"canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","source":{"kind":"arxiv","id":"1008.0096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0096","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0096v1","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0096","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"VA3OWHWUJ5JN","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VA3OWHWUJ5JNXY2O","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VA3OWHWU","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VA3OWHWUJ5JNXY2OTKQBVXPL7Y","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-07-31T14:39:39Z","cross_cats_sorted":["cond-mat.other","physics.flu-dyn"],"title_canon_sha256":"4ab183281a8251ced41f5e9e0746bff30daa8721c391fcb6c8e38db9dc5b8bfb","abstract_canon_sha256":"9ff7169754e98b3ae996d8340cf94fa966dd6d7dd2d1b2b19458d949d1893ebe"},"schema_version":"1.0"},"canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:43.011792Z","signature_b64":"JXRQiXGntSp9L4/QgyifYPY8IgBvUgM5gaC4T1zjI+ykQBa9sbdP017i0Ces8UAGlVZDhFJJJSKp8wOPgPKrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","last_reissued_at":"2026-05-18T04:12:43.011160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:43.011160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0096","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":"2026-05-18T04:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OlfrDATnutiojoGyPUz1CKsbvegMHjD/VIxSl/GJNAKPhz7b286Hw7qbHctPfGCqRKdw4I9kzNaMDcDlFkUAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:06:07.186111Z"},"content_sha256":"be97c076304786e80e3df3c82f2053605183dd458e3caa585ff22b93b5abfc08","schema_version":"1.0","event_id":"sha256:be97c076304786e80e3df3c82f2053605183dd458e3caa585ff22b93b5abfc08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VA3OWHWUJ5JNXY2OTKQBVXPL7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sustained turbulence in the three-dimensional Gross-Pitaevskii model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Davide Proment, Miguel Onorato, Sergey Nazarenko","submitted_at":"2010-07-31T14:39:39Z","abstract_excerpt":"We study the 3D forced-dissipated Gross-Pitaevskii equation. We force at relatively low wave numbers, expecting to observe a direct energy cascade and a consequent power-law spectrum of the form $k^{-\\alpha}$. Our numerical results show that the exponent $\\alpha$ strongly depends on how the inverse particle cascade is attenuated at $k$'s lower than the forcing wave number. If the inverse cascade is arrested by a friction at low $k$'s, we observe an exponent which is in good agreement with the weak wave turbulence prediction $k^{-1}$. For a hypo-viscosity, a $k^{-2}$ spectrum is observed which "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0096","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":"2026-05-18T04:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIWbjcp/D2LzalyqjWSb6u+n2nLiQ+cZJl/Gc2HRTynYXxv3oebVmY9NMXzQCWl3aoibQGkYViiQ/iOK089lDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:06:07.186763Z"},"content_sha256":"457589e5c3aa8c72ff00d13031f2267b69adafb532c5e2d8d2d331ba9a17f7e0","schema_version":"1.0","event_id":"sha256:457589e5c3aa8c72ff00d13031f2267b69adafb532c5e2d8d2d331ba9a17f7e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/bundle.json","state_url":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/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":"2026-05-22T14:06:07Z","links":{"resolver":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y","bundle":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/bundle.json","state":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VA3OWHWUJ5JNXY2OTKQBVXPL7Y","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":"9ff7169754e98b3ae996d8340cf94fa966dd6d7dd2d1b2b19458d949d1893ebe","cross_cats_sorted":["cond-mat.other","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-07-31T14:39:39Z","title_canon_sha256":"4ab183281a8251ced41f5e9e0746bff30daa8721c391fcb6c8e38db9dc5b8bfb"},"schema_version":"1.0","source":{"id":"1008.0096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0096","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0096v1","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0096","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"VA3OWHWUJ5JN","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VA3OWHWUJ5JNXY2O","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VA3OWHWU","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:457589e5c3aa8c72ff00d13031f2267b69adafb532c5e2d8d2d331ba9a17f7e0","target":"graph","created_at":"2026-05-18T04:12:43Z","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":"We study the 3D forced-dissipated Gross-Pitaevskii equation. We force at relatively low wave numbers, expecting to observe a direct energy cascade and a consequent power-law spectrum of the form $k^{-\\alpha}$. Our numerical results show that the exponent $\\alpha$ strongly depends on how the inverse particle cascade is attenuated at $k$'s lower than the forcing wave number. If the inverse cascade is arrested by a friction at low $k$'s, we observe an exponent which is in good agreement with the weak wave turbulence prediction $k^{-1}$. For a hypo-viscosity, a $k^{-2}$ spectrum is observed which ","authors_text":"Davide Proment, Miguel Onorato, Sergey Nazarenko","cross_cats":["cond-mat.other","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-07-31T14:39:39Z","title":"Sustained turbulence in the three-dimensional Gross-Pitaevskii model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0096","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:be97c076304786e80e3df3c82f2053605183dd458e3caa585ff22b93b5abfc08","target":"record","created_at":"2026-05-18T04:12:43Z","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":"9ff7169754e98b3ae996d8340cf94fa966dd6d7dd2d1b2b19458d949d1893ebe","cross_cats_sorted":["cond-mat.other","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-07-31T14:39:39Z","title_canon_sha256":"4ab183281a8251ced41f5e9e0746bff30daa8721c391fcb6c8e38db9dc5b8bfb"},"schema_version":"1.0","source":{"id":"1008.0096","kind":"arxiv","version":1}},"canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","first_computed_at":"2026-05-18T04:12:43.011160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:43.011160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JXRQiXGntSp9L4/QgyifYPY8IgBvUgM5gaC4T1zjI+ykQBa9sbdP017i0Ces8UAGlVZDhFJJJSKp8wOPgPKrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:43.011792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be97c076304786e80e3df3c82f2053605183dd458e3caa585ff22b93b5abfc08","sha256:457589e5c3aa8c72ff00d13031f2267b69adafb532c5e2d8d2d331ba9a17f7e0"],"state_sha256":"e6327f321310250592143afd8275c5957e56afd8385a4e5346ae578e15d92e9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWacIWRFg+PfGHnxDvvUBjRDpy1NJpQUa5GgeOzNIY40ikO74+9OvJj5QTMYR+d2xs9r0s9CT2i9dbacghIjCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T14:06:07.190182Z","bundle_sha256":"82ff614c12b3b50b56c2605250094c809b8d743b38646c71187229725bdc02a2"}}