{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NANH226L4MZYHXPFHIEDTN3S2T","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":"6bed41b3bf9a74e0cc7f94a1df9154c8db6f21d11c257120e24ad2593e3a7b6d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T16:24:40Z","title_canon_sha256":"9fe789c695d2daa26ca238c3f5e585977065905467bb739949c96103f5250623"},"schema_version":"1.0","source":{"id":"1703.07300","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07300","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07300v2","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07300","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"NANH226L4MZY","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NANH226L4MZYHXPF","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NANH226L","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:72704f21909aeac5ba0404da72ddb9f7b4d27ea1acf2c1546b7721e2345bb2c1","target":"graph","created_at":"2026-05-18T00:20:56Z","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 propose and analyze a heterogenous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic averaging method (SAM) suggested here may provide approximations with $\\(\\mathcal{O}(H^2+1/\\Omega^2)\\)$ errors with a computational effort that grows like $\\(H^{-1}\\)$ (the inverse of the stepsize), uniformly in the forcing frequency Omega.","authors_text":"Beibei Zhu, J. M. Sanz-Serna","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T16:24:40Z","title":"A stroboscopic averaging algorithm for highly oscillatory delay problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07300","kind":"arxiv","version":2},"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:cb67befb2fbe0e3b88bc25c0922db382415141288d859aa9f1b6901139dc8c4e","target":"record","created_at":"2026-05-18T00:20:56Z","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":"6bed41b3bf9a74e0cc7f94a1df9154c8db6f21d11c257120e24ad2593e3a7b6d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T16:24:40Z","title_canon_sha256":"9fe789c695d2daa26ca238c3f5e585977065905467bb739949c96103f5250623"},"schema_version":"1.0","source":{"id":"1703.07300","kind":"arxiv","version":2}},"canonical_sha256":"681a7d6bcbe33383dde53a0839b772d4c877fdabceb4d728707063250848bd01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"681a7d6bcbe33383dde53a0839b772d4c877fdabceb4d728707063250848bd01","first_computed_at":"2026-05-18T00:20:56.576291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:56.576291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZdRF/7ceuqWoQFjUl0PMizNPHyLPHHvIhVhMWXb+nXfPko1AiZ/UYrvHHhMe40P4WJaNtL+2s6owCn7MJti9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:56.576735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07300","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb67befb2fbe0e3b88bc25c0922db382415141288d859aa9f1b6901139dc8c4e","sha256:72704f21909aeac5ba0404da72ddb9f7b4d27ea1acf2c1546b7721e2345bb2c1"],"state_sha256":"2c7f38c57e83954fcb0cfd1835fe6b8ceee7f1c7fc5650d4d50a916d208b40db"}