{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RYUINPPHNU4ZIHA5SIOVBHAKAX","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":"afb86c045ecf60bf54c1056b2d11ce99a493430892aa316276090d6924c62270","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-09T14:43:12Z","title_canon_sha256":"044696704c797aec27b316771dd1063e5f0cd83a3d00a5551fb8999f8fd55e44"},"schema_version":"1.0","source":{"id":"1610.02684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02684","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02684v2","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02684","created_at":"2026-05-18T00:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"RYUINPPHNU4Z","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RYUINPPHNU4ZIHA5","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RYUINPPH","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:0505728389dcaf2ec5f28955b69f7665640ccfcc7abce159024e884ca680ccbd","target":"graph","created_at":"2026-05-18T00:02:13Z","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":"Monte Carlo is famous for accepting model extensions and model refinements up to infinite dimension. However, this powerful incremental design is based on a premise which has severely limited its application so far: a state-variable can only be recursively defined as a function of underlying state-variables if this function is linear. Here we show that this premise can be alleviated by projecting nonlinearities onto a polynomial basis and increasing the configuration space dimension. Considering phytoplankton growth in light-limited environments, radiative transfer in planetary atmospheres, el","authors_text":"Ana\\\"is Khuong, Benjamin Piaud, Christophe Coustet, Cyril Caliot, Guillaume Terr\\'ee, Jacques Gautrais, Jean-Jacques Bezian, J\\'er\\'emi Dauchet, Julien Charon, Lionel Pelissier, Mathieu Galtier, Maxime Roger, Mouna El Hafi, Olivier Farges, Richard Fournier, Sebastian Weitz, St\\'ephane Blanco, Vincent Eymet, Vincent Forest","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-09T14:43:12Z","title":"Addressing nonlinearities in Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02684","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:b390c574fbf5fbfb1ea10da26d8255c4fa810dbff893c8b8eeeb1334fabe56e0","target":"record","created_at":"2026-05-18T00:02:13Z","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":"afb86c045ecf60bf54c1056b2d11ce99a493430892aa316276090d6924c62270","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-10-09T14:43:12Z","title_canon_sha256":"044696704c797aec27b316771dd1063e5f0cd83a3d00a5551fb8999f8fd55e44"},"schema_version":"1.0","source":{"id":"1610.02684","kind":"arxiv","version":2}},"canonical_sha256":"8e2886bde76d39941c1d921d509c0a05cc7682fa723fe9e7956242512d5daf7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e2886bde76d39941c1d921d509c0a05cc7682fa723fe9e7956242512d5daf7a","first_computed_at":"2026-05-18T00:02:13.747829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:13.747829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cFw/Ovc109DbsK96Swb0ll8tqKf0rKrYHdKgT2hKqLbER4EKwNTmtWJrTgqlwCUi/VOyNNNQ0aHy6HxmwTAvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:13.748491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b390c574fbf5fbfb1ea10da26d8255c4fa810dbff893c8b8eeeb1334fabe56e0","sha256:0505728389dcaf2ec5f28955b69f7665640ccfcc7abce159024e884ca680ccbd"],"state_sha256":"590c5c86715fdcaf4af42a27cd66ccdf564ce92047669038b04782ae005469bb"}