{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:VA3OWHWUJ5JNXY2OTKQBVXPL7Y","short_pith_number":"pith:VA3OWHWU","schema_version":"1.0","canonical_sha256":"a836eb1ed44f52dbe34e9aa01addebfe2b2a50b00e408d3fb6e5a737dd544893","source":{"kind":"arxiv","id":"1008.0096","version":1},"attestation_state":"computed","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"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"},"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"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.0096","created_at":"2026-05-18T04:12:43.011242+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0096v1","created_at":"2026-05-18T04:12:43.011242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0096","created_at":"2026-05-18T04:12:43.011242+00:00"},{"alias_kind":"pith_short_12","alias_value":"VA3OWHWUJ5JN","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"VA3OWHWUJ5JNXY2O","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"VA3OWHWU","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y","json":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y.json","graph_json":"https://pith.science/api/pith-number/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/graph.json","events_json":"https://pith.science/api/pith-number/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/events.json","paper":"https://pith.science/paper/VA3OWHWU"},"agent_actions":{"view_html":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y","download_json":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y.json","view_paper":"https://pith.science/paper/VA3OWHWU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0096&json=true","fetch_graph":"https://pith.science/api/pith-number/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/graph.json","fetch_events":"https://pith.science/api/pith-number/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/action/storage_attestation","attest_author":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/action/author_attestation","sign_citation":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/action/citation_signature","submit_replication":"https://pith.science/pith/VA3OWHWUJ5JNXY2OTKQBVXPL7Y/action/replication_record"}},"created_at":"2026-05-18T04:12:43.011242+00:00","updated_at":"2026-05-18T04:12:43.011242+00:00"}