{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5TYWAJ3EMU3S7NREHQXNIRTVYF","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":"86b6e706c76a77b6ff5673d6f18d39789b6eee2a426cd69adb77d9ce276e62a9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-14T19:46:16Z","title_canon_sha256":"89e67db3ab3872d8b0f01bf3bc945346dda08ba4371cfd79dc02ae4053270017"},"schema_version":"1.0","source":{"id":"1211.3391","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3391","created_at":"2026-05-18T03:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3391v1","created_at":"2026-05-18T03:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3391","created_at":"2026-05-18T03:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"5TYWAJ3EMU3S","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5TYWAJ3EMU3S7NRE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5TYWAJ3E","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:aaaa5de553eff2ef4983c56205451af9188a62bd2bc0af8ae233ca7d190a8b6c","target":"graph","created_at":"2026-05-18T03:04:13Z","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 consider the semiclassical limit for the nonlinear Schrodinger equation. We introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulation, whose novelty consists in including some asymptotically vanishing viscosity. We prove that the system is always locally well-posed in a class of Sobolev spaces, and globally well-posed for a fixed positive Planck constant in the one-dimensional case. We propose a second order numerical scheme which is asymptotic preserving. Before singularities appear in the limiting Euler equation, we recover the quadratic physic","authors_text":"Christophe Besse (LPP, Florian M\\'ehats (IRMAR, Inria - Irmar), INRIA Lille - Nord Europe), R\\'emi Carles (I3M)","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-14T19:46:16Z","title":"An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3391","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":"sha256:008ef129a2ba0a80cd6a5eb8d4146170cf6bc7b93ae8d4e8103d873b443776d3","target":"record","created_at":"2026-05-18T03:04:13Z","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":"86b6e706c76a77b6ff5673d6f18d39789b6eee2a426cd69adb77d9ce276e62a9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-11-14T19:46:16Z","title_canon_sha256":"89e67db3ab3872d8b0f01bf3bc945346dda08ba4371cfd79dc02ae4053270017"},"schema_version":"1.0","source":{"id":"1211.3391","kind":"arxiv","version":1}},"canonical_sha256":"ecf160276465372fb6243c2ed44675c161ffe94c83ea10599fdad4c471283800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecf160276465372fb6243c2ed44675c161ffe94c83ea10599fdad4c471283800","first_computed_at":"2026-05-18T03:04:13.961116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:13.961116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IwqnpRSohMOC8+HM5U+s2s6oHZJqm6fACNipuHf/r5WgpIIzAE+hpHAu4rc9Fpqw0bf/0FDI7+nJqS5DHOrnCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:13.961570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3391","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:008ef129a2ba0a80cd6a5eb8d4146170cf6bc7b93ae8d4e8103d873b443776d3","sha256:aaaa5de553eff2ef4983c56205451af9188a62bd2bc0af8ae233ca7d190a8b6c"],"state_sha256":"b24e080dd34a3daff97df6bbeecc36c9302eee6d1cbcb3177b3a03f4f4b23ffa"}