{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AS7JUX2RFY5UWVM6PLLINVUDQK","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":"d975e63e651070d84adf410ad2ba8426008c42456e907dd7c080c1d7923e8447","cross_cats_sorted":["math.CA","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-01T11:30:49Z","title_canon_sha256":"9134d616589af2d6f560ed05ab7b17866456c989b558db8ce5e48c1dc069e8e1"},"schema_version":"1.0","source":{"id":"1701.00229","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00229","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00229v2","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00229","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"AS7JUX2RFY5U","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AS7JUX2RFY5UWVM6","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AS7JUX2R","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:d07eccfa3a724cef00f22f4154cf60790853148222033cf863bdb906bf6fcbef","target":"graph","created_at":"2026-05-17T23:57:48Z","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":"Hysteresis operators appear in many applications such as elasto-plasticity and micromagnetics, and can be used for a wider class of systems, where rate-independent memory plays a role. A natural approximation for systems of evolution equations with hysteresis operators are fast-slow dynamical systems, which - in their used approximation form - do not involve any memory effects. Hence, viewing differential equations with hysteresis operators in the non-linearity as a limit of approximating fast-slow dynamics involves subtle limit procedures. In this paper, we give a proof of Netushil's \"observa","authors_text":"Christian Kuehn, Christian M\\\"unch","cross_cats":["math.CA","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-01T11:30:49Z","title":"Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00229","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":"sha256:91543649408dc0df0329922f19b5e3aa969215ff0f4724f9eff10f29c3edcde7","target":"record","created_at":"2026-05-17T23:57:48Z","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":"d975e63e651070d84adf410ad2ba8426008c42456e907dd7c080c1d7923e8447","cross_cats_sorted":["math.CA","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-01T11:30:49Z","title_canon_sha256":"9134d616589af2d6f560ed05ab7b17866456c989b558db8ce5e48c1dc069e8e1"},"schema_version":"1.0","source":{"id":"1701.00229","kind":"arxiv","version":2}},"canonical_sha256":"04be9a5f512e3b4b559e7ad686d68382b7ce607c56384a8a25316c94bedd46d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04be9a5f512e3b4b559e7ad686d68382b7ce607c56384a8a25316c94bedd46d0","first_computed_at":"2026-05-17T23:57:48.990481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:48.990481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pL4HJy1vc727WIuHp340nTeabMMIzwe/7WmPpsHX1lSfTeLx+biRC+MHXW1bMMKmyq2T6E+XzywEwyi/cYOrAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:48.991140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00229","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91543649408dc0df0329922f19b5e3aa969215ff0f4724f9eff10f29c3edcde7","sha256:d07eccfa3a724cef00f22f4154cf60790853148222033cf863bdb906bf6fcbef"],"state_sha256":"f606be7c5d97a6ea434cd29c8be86b3f7f28ff80e0acb2d797cd69060edee277"}