{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4GCSUYCJJ4BDYRYAQBAOC5BYPS","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":"48429e0dd54f7ccd5e653d22fbbd5c1075b2cc9198b18f733abb9646ec4c53b5","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-05-28T11:36:04Z","title_canon_sha256":"d5647c3f177d81c38bf35a197ad2f6a53ed45f035747686f00e57049e7c066da"},"schema_version":"1.0","source":{"id":"1905.11753","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11753","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11753v1","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11753","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"4GCSUYCJJ4BD","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4GCSUYCJJ4BDYRYA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4GCSUYCJ","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:1d5d31815ec1a7588bd5e9c2fb8ce12afbc58ddb909ff465d3d1fa5736fc9216","target":"graph","created_at":"2026-05-17T23:44:52Z","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 present a numerical method to compute non-equilibrium memory kernels based on experimental data or molecular dynamics simulations. The procedure uses a recasting of the non-stationary generalized Langevin equation, in which we expand the memory kernel in a series that can be reconstructed iteratively. Each term in the series can be computed based solely on knowledge of the two-time auto-correlation function of the observable of interest. As a proof of principle, we apply the method to crystallization from a super-cooled Lennard Jones melt. We analyze the nucleation and growth dynamics of cr","authors_text":"Hugues Meyer, Philipp Pelagejcev, Tanja Schilling","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-05-28T11:36:04Z","title":"Non-Markovian out-of-equilibrium dynamics: A general numerical procedure to construct time-dependent memory kernels for coarse-grained observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11753","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:a53007f93636c07874793432134759272a4caf3978fad959cbe6787940f4b84f","target":"record","created_at":"2026-05-17T23:44:52Z","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":"48429e0dd54f7ccd5e653d22fbbd5c1075b2cc9198b18f733abb9646ec4c53b5","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-05-28T11:36:04Z","title_canon_sha256":"d5647c3f177d81c38bf35a197ad2f6a53ed45f035747686f00e57049e7c066da"},"schema_version":"1.0","source":{"id":"1905.11753","kind":"arxiv","version":1}},"canonical_sha256":"e1852a60494f023c47008040e174387ca01dd31364c6da3f3180d895fb2e75bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1852a60494f023c47008040e174387ca01dd31364c6da3f3180d895fb2e75bb","first_computed_at":"2026-05-17T23:44:52.415517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:52.415517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XuItz9OJCBGDDfOQ9Y2Ksy+GL/n8YQQd65xC6ERkuiyTks3IimGwWSJI4ecTrtzDAc4rAgUJwGE+lUyoJf7eAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:52.416037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11753","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a53007f93636c07874793432134759272a4caf3978fad959cbe6787940f4b84f","sha256:1d5d31815ec1a7588bd5e9c2fb8ce12afbc58ddb909ff465d3d1fa5736fc9216"],"state_sha256":"a4e0d0493d0752ce11b5fc6434f04d966c4b1d4dbe5bd0233092fe383d2e08b1"}