{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2DI2K7DUCUD53DEFT6GOXCEJ66","short_pith_number":"pith:2DI2K7DU","schema_version":"1.0","canonical_sha256":"d0d1a57c741507dd8c859f8ceb8889f7872e1d65ea2a91a531dffd70e738d5a3","source":{"kind":"arxiv","id":"1601.04825","version":2},"attestation_state":"computed","paper":{"title":"Uniformly accurate time-splitting methods for the semiclassical linear Schr{\\\"o}dinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Florian M\\'ehats (IRMAR), Lo\\\"ic Le Treust (CEREMADE), Philippe Chartier (IPSO)","submitted_at":"2016-01-19T08:54:39Z","abstract_excerpt":"This article is devoted to the construction of numerical methods which remain insensitive to the smallness of the semiclassical parameter for the linear Schr{\\\"o}dinger equation in the semiclassical limit. We specifically analyse the convergence behavior of the first-order splitting. Our main result is a proof of  uniform accuracy. We illustrate the properties of our methods with simulations."},"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":"1601.04825","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-19T08:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"365bea8cda1b8d28a67a1c877364625edd5ba2c650e9da9b776a5e9e5489ca49","abstract_canon_sha256":"18af715dabaabbbcd81d11c9f1b340bc6a6380cc3512fcc340ea4bc975b4831b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:34.606487Z","signature_b64":"4MtRbw5iGtVjYYgR9/dV0ayc+3G832V+UitvwOk5ungMbdjHIWVFoErY84gW4wqANIo0UjLKGGheL0QHWAgwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0d1a57c741507dd8c859f8ceb8889f7872e1d65ea2a91a531dffd70e738d5a3","last_reissued_at":"2026-05-18T00:03:34.605997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:34.605997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniformly accurate time-splitting methods for the semiclassical linear Schr{\\\"o}dinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Florian M\\'ehats (IRMAR), Lo\\\"ic Le Treust (CEREMADE), Philippe Chartier (IPSO)","submitted_at":"2016-01-19T08:54:39Z","abstract_excerpt":"This article is devoted to the construction of numerical methods which remain insensitive to the smallness of the semiclassical parameter for the linear Schr{\\\"o}dinger equation in the semiclassical limit. We specifically analyse the convergence behavior of the first-order splitting. Our main result is a proof of  uniform accuracy. We illustrate the properties of our methods with simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04825","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.04825","created_at":"2026-05-18T00:03:34.606075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04825v2","created_at":"2026-05-18T00:03:34.606075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04825","created_at":"2026-05-18T00:03:34.606075+00:00"},{"alias_kind":"pith_short_12","alias_value":"2DI2K7DUCUD5","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2DI2K7DUCUD53DEF","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2DI2K7DU","created_at":"2026-05-18T12:29:55.572404+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/2DI2K7DUCUD53DEFT6GOXCEJ66","json":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66.json","graph_json":"https://pith.science/api/pith-number/2DI2K7DUCUD53DEFT6GOXCEJ66/graph.json","events_json":"https://pith.science/api/pith-number/2DI2K7DUCUD53DEFT6GOXCEJ66/events.json","paper":"https://pith.science/paper/2DI2K7DU"},"agent_actions":{"view_html":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66","download_json":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66.json","view_paper":"https://pith.science/paper/2DI2K7DU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04825&json=true","fetch_graph":"https://pith.science/api/pith-number/2DI2K7DUCUD53DEFT6GOXCEJ66/graph.json","fetch_events":"https://pith.science/api/pith-number/2DI2K7DUCUD53DEFT6GOXCEJ66/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66/action/storage_attestation","attest_author":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66/action/author_attestation","sign_citation":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66/action/citation_signature","submit_replication":"https://pith.science/pith/2DI2K7DUCUD53DEFT6GOXCEJ66/action/replication_record"}},"created_at":"2026-05-18T00:03:34.606075+00:00","updated_at":"2026-05-18T00:03:34.606075+00:00"}