{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:MI7OKJNIX4TJP6IU2NZRBDTHCF","short_pith_number":"pith:MI7OKJNI","schema_version":"1.0","canonical_sha256":"623ee525a8bf2697f914d373108e671176263851d2e5049a27c01d529786e232","source":{"kind":"arxiv","id":"2205.05024","version":3},"attestation_state":"computed","paper":{"title":"Bridging the gap: symplecticity and low regularity in Runge-Kutta resonance-based schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Georg Maierhofer, Katharina Schratz","submitted_at":"2022-05-10T16:38:07Z","abstract_excerpt":"Recent years have seen an increasing amount of research devoted to the development of so-called resonance-based methods for dispersive nonlinear partial differential equations. In many situations, this new class of methods allows for approximations in a much more general setting (e.g. for rough data) than, for instance, classical splitting or exponential integrator methods. However, they lack one important property: the preservation of geometric properties of the flow. This is particularly drastic in the case of the Korteweg-de Vries (KdV) equation and the nonlinear Schr\\\"odinger equation (NLS"},"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":"2205.05024","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-05-10T16:38:07Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"2e482b24a166f700823731bc95a38c15bb84389fe1b8fa520b4d1ad3eac1fc31","abstract_canon_sha256":"0093432586403482c5e4fa344a9f88bf96778d6eeee4a4c963c00bc61685bf13"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:46:04.801284Z","signature_b64":"rFjPCnJa6yxCPNY48xAHxHOPpI90eBG/ebjNW/kLAMZ7Jc8P5QlVJcrosWyPSB5z/tVhhV4NCqnqWmvhye2wDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"623ee525a8bf2697f914d373108e671176263851d2e5049a27c01d529786e232","last_reissued_at":"2026-07-05T08:46:04.800701Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:46:04.800701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bridging the gap: symplecticity and low regularity in Runge-Kutta resonance-based schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Georg Maierhofer, Katharina Schratz","submitted_at":"2022-05-10T16:38:07Z","abstract_excerpt":"Recent years have seen an increasing amount of research devoted to the development of so-called resonance-based methods for dispersive nonlinear partial differential equations. In many situations, this new class of methods allows for approximations in a much more general setting (e.g. for rough data) than, for instance, classical splitting or exponential integrator methods. However, they lack one important property: the preservation of geometric properties of the flow. This is particularly drastic in the case of the Korteweg-de Vries (KdV) equation and the nonlinear Schr\\\"odinger equation (NLS"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.05024","kind":"arxiv","version":3},"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/2205.05024/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2205.05024","created_at":"2026-07-05T08:46:04.800768+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.05024v3","created_at":"2026-07-05T08:46:04.800768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.05024","created_at":"2026-07-05T08:46:04.800768+00:00"},{"alias_kind":"pith_short_12","alias_value":"MI7OKJNIX4TJ","created_at":"2026-07-05T08:46:04.800768+00:00"},{"alias_kind":"pith_short_16","alias_value":"MI7OKJNIX4TJP6IU","created_at":"2026-07-05T08:46:04.800768+00:00"},{"alias_kind":"pith_short_8","alias_value":"MI7OKJNI","created_at":"2026-07-05T08:46:04.800768+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2410.22359","citing_title":"Low regularity symplectic schemes for stochastic NLS","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF","json":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF.json","graph_json":"https://pith.science/api/pith-number/MI7OKJNIX4TJP6IU2NZRBDTHCF/graph.json","events_json":"https://pith.science/api/pith-number/MI7OKJNIX4TJP6IU2NZRBDTHCF/events.json","paper":"https://pith.science/paper/MI7OKJNI"},"agent_actions":{"view_html":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF","download_json":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF.json","view_paper":"https://pith.science/paper/MI7OKJNI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.05024&json=true","fetch_graph":"https://pith.science/api/pith-number/MI7OKJNIX4TJP6IU2NZRBDTHCF/graph.json","fetch_events":"https://pith.science/api/pith-number/MI7OKJNIX4TJP6IU2NZRBDTHCF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF/action/storage_attestation","attest_author":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF/action/author_attestation","sign_citation":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF/action/citation_signature","submit_replication":"https://pith.science/pith/MI7OKJNIX4TJP6IU2NZRBDTHCF/action/replication_record"}},"created_at":"2026-07-05T08:46:04.800768+00:00","updated_at":"2026-07-05T08:46:04.800768+00:00"}