{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:W65Z5VZIWGYSGGHT5Z6S66WVON","short_pith_number":"pith:W65Z5VZI","canonical_record":{"source":{"id":"2212.00604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-12-01T15:58:14Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"3a7395f4d195e32aa2484e9ae2a15d98c0fb7b630ca1576cec81fe5a37623a28","abstract_canon_sha256":"95cf32ce8012337ab796bdcb4eb10e181869d0c704991b28d04a0c60f9275e7d"},"schema_version":"1.0"},"canonical_sha256":"b7bb9ed728b1b12318f3ee7d2f7ad5737dd5188642dc22e5c84e4b5770dfe51b","source":{"kind":"arxiv","id":"2212.00604","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.00604","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"2212.00604v1","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00604","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"W65Z5VZIWGYS","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_16","alias_value":"W65Z5VZIWGYSGGHT","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_8","alias_value":"W65Z5VZI","created_at":"2026-07-05T05:21:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:W65Z5VZIWGYSGGHT5Z6S66WVON","target":"record","payload":{"canonical_record":{"source":{"id":"2212.00604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-12-01T15:58:14Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"3a7395f4d195e32aa2484e9ae2a15d98c0fb7b630ca1576cec81fe5a37623a28","abstract_canon_sha256":"95cf32ce8012337ab796bdcb4eb10e181869d0c704991b28d04a0c60f9275e7d"},"schema_version":"1.0"},"canonical_sha256":"b7bb9ed728b1b12318f3ee7d2f7ad5737dd5188642dc22e5c84e4b5770dfe51b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:21:36.036441Z","signature_b64":"eZQz3OGrwUNLkR1psQnLYX5i6kuehKuwDSsuVrL4cQyGdn6/hCfSCTsuoCarMj5acsXrPfN8y2W/cI0kxKQrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7bb9ed728b1b12318f3ee7d2f7ad5737dd5188642dc22e5c84e4b5770dfe51b","last_reissued_at":"2026-07-05T05:21:36.036013Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:21:36.036013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.00604","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":"2026-07-05T05:21:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q7bn7eYJfSIzyKS2byvBv1aB6hJ4oMCwmTJq4wXeWS44pBRf7EbxPA5E+OQFN7nY/tlJgJPSc+vaj7gzc9UTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:03:00.642496Z"},"content_sha256":"287d3301b540d7d566705a0c9da147a662d996c4f8a83ce91c335f3f056b5f9e","schema_version":"1.0","event_id":"sha256:287d3301b540d7d566705a0c9da147a662d996c4f8a83ce91c335f3f056b5f9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:W65Z5VZIWGYSGGHT5Z6S66WVON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Younes Zine","submitted_at":"2022-12-01T15:58:14Z","abstract_excerpt":"We study the limiting behavior of the two-dimensional singular stochastic stochastic cubic nonlinear complex Ginzburg-Landau with Gibbs measure initial data. We show that in the appropriate small viscosity and small noise regimes, the limiting dynamics is given by the deterministic cubic nonlinear Schr\\\"odinger equation at Gibbs equilibrium. In order to obtain this convergence, our approach combines both heat and Schr\\\"odinger analysis, within the framework of the Fourier restriction norm method of Bourgain (1993)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00604","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.00604/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:21:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JhpVJVmuTd+9gHlay/XTP3rLSGUxPENqV1VbU22B3FT3ibYSRrgUc2iQevncHaPvLWT6eEj3gI9SZ3Mz62nRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:03:00.643038Z"},"content_sha256":"05875f3f32ceb95bfb764c08fbec43c5c18721dd7bcce5a1537ef8a4d774e981","schema_version":"1.0","event_id":"sha256:05875f3f32ceb95bfb764c08fbec43c5c18721dd7bcce5a1537ef8a4d774e981"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/bundle.json","state_url":"https://pith.science/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/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":"2026-08-10T14:03:00Z","links":{"resolver":"https://pith.science/pith/W65Z5VZIWGYSGGHT5Z6S66WVON","bundle":"https://pith.science/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/bundle.json","state":"https://pith.science/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W65Z5VZIWGYSGGHT5Z6S66WVON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:W65Z5VZIWGYSGGHT5Z6S66WVON","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":"95cf32ce8012337ab796bdcb4eb10e181869d0c704991b28d04a0c60f9275e7d","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-12-01T15:58:14Z","title_canon_sha256":"3a7395f4d195e32aa2484e9ae2a15d98c0fb7b630ca1576cec81fe5a37623a28"},"schema_version":"1.0","source":{"id":"2212.00604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.00604","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"2212.00604v1","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00604","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"W65Z5VZIWGYS","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_16","alias_value":"W65Z5VZIWGYSGGHT","created_at":"2026-07-05T05:21:36Z"},{"alias_kind":"pith_short_8","alias_value":"W65Z5VZI","created_at":"2026-07-05T05:21:36Z"}],"graph_snapshots":[{"event_id":"sha256:05875f3f32ceb95bfb764c08fbec43c5c18721dd7bcce5a1537ef8a4d774e981","target":"graph","created_at":"2026-07-05T05:21:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.00604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the limiting behavior of the two-dimensional singular stochastic stochastic cubic nonlinear complex Ginzburg-Landau with Gibbs measure initial data. We show that in the appropriate small viscosity and small noise regimes, the limiting dynamics is given by the deterministic cubic nonlinear Schr\\\"odinger equation at Gibbs equilibrium. In order to obtain this convergence, our approach combines both heat and Schr\\\"odinger analysis, within the framework of the Fourier restriction norm method of Bourgain (1993).","authors_text":"Younes Zine","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-12-01T15:58:14Z","title":"On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00604","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":"sha256:287d3301b540d7d566705a0c9da147a662d996c4f8a83ce91c335f3f056b5f9e","target":"record","created_at":"2026-07-05T05:21:36Z","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":"95cf32ce8012337ab796bdcb4eb10e181869d0c704991b28d04a0c60f9275e7d","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-12-01T15:58:14Z","title_canon_sha256":"3a7395f4d195e32aa2484e9ae2a15d98c0fb7b630ca1576cec81fe5a37623a28"},"schema_version":"1.0","source":{"id":"2212.00604","kind":"arxiv","version":1}},"canonical_sha256":"b7bb9ed728b1b12318f3ee7d2f7ad5737dd5188642dc22e5c84e4b5770dfe51b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7bb9ed728b1b12318f3ee7d2f7ad5737dd5188642dc22e5c84e4b5770dfe51b","first_computed_at":"2026-07-05T05:21:36.036013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:36.036013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZQz3OGrwUNLkR1psQnLYX5i6kuehKuwDSsuVrL4cQyGdn6/hCfSCTsuoCarMj5acsXrPfN8y2W/cI0kxKQrAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:36.036441Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.00604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:287d3301b540d7d566705a0c9da147a662d996c4f8a83ce91c335f3f056b5f9e","sha256:05875f3f32ceb95bfb764c08fbec43c5c18721dd7bcce5a1537ef8a4d774e981"],"state_sha256":"a9632dcdd577c927a8d9e5eef5b055d587cc754c0545aff9c221c8aa81841d5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Alv7qK83SGiuRyBA6wwqBvD1AOLHR0gM81iSlhqTInDgjO/sFk2zW3vEN5CfFUcHZ2TCAPTPxkGqvqEu4poiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T14:03:00.646686Z","bundle_sha256":"e656a12b48b1cd67037e289f5a2416962fc85d6806a33696fd6aeea06cab97ee"}}