{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KKHTY3LTHW4SFYQCXMI2RYKJBO","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":"4c91d64c2b9f106757d5a99e904ce031b830cc43d92cc466c1d7d120b8b2c5d2","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T15:44:10Z","title_canon_sha256":"72eb93b8499fd1a96b277f0b4bbd03e251d22d193b67426c0ec7a35123a3bdb0"},"schema_version":"1.0","source":{"id":"1805.07273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07273","created_at":"2026-05-18T00:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07273v1","created_at":"2026-05-18T00:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07273","created_at":"2026-05-18T00:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"KKHTY3LTHW4S","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KKHTY3LTHW4SFYQC","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KKHTY3LT","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:38dd5abd35f1d0474cb5201a94771ac9af2ad5fef09f85477721860f528f48a8","target":"graph","created_at":"2026-05-18T00:06:02Z","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":"The construction of effective and informative landscapes for stochastic dynamical systems has proven a long-standing and complex problem. In many situations, the dynamics may be described by a Langevin equation while constructing a landscape comes down to obtaining the quasi-potential, a scalar function that quantifies the likelihood of reaching each point in the state-space. In this work we provide a novel method for constructing such landscapes by extending a tool from control theory: the Sum-of-Squares method for generating Lyapunov functions. Applicable to any system described by polynomia","authors_text":"Andrew Wynn, Michael P H Stumpf, Rowan D Brackston","cross_cats":["math.DS","q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T15:44:10Z","title":"Construction of quasi-potentials for stochastic dynamical systems: an optimization approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07273","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:fc0a6a9be8754f9551f7d267e5d2195af71ad2c53992dfbab7e76d73703814ee","target":"record","created_at":"2026-05-18T00:06:02Z","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":"4c91d64c2b9f106757d5a99e904ce031b830cc43d92cc466c1d7d120b8b2c5d2","cross_cats_sorted":["math.DS","q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T15:44:10Z","title_canon_sha256":"72eb93b8499fd1a96b277f0b4bbd03e251d22d193b67426c0ec7a35123a3bdb0"},"schema_version":"1.0","source":{"id":"1805.07273","kind":"arxiv","version":1}},"canonical_sha256":"528f3c6d733db922e202bb11a8e1490bb43843802579acff9522cab20c91a004","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"528f3c6d733db922e202bb11a8e1490bb43843802579acff9522cab20c91a004","first_computed_at":"2026-05-18T00:06:02.091216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:02.091216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"llQN62sq9ykVD6sQ2ouQwlp8bYPkeTzGZswxffOFh5QrnvSgt9+OtOQyr8xMUhMKzJ6lXUZc9cI73DTt/m7tAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:02.091616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc0a6a9be8754f9551f7d267e5d2195af71ad2c53992dfbab7e76d73703814ee","sha256:38dd5abd35f1d0474cb5201a94771ac9af2ad5fef09f85477721860f528f48a8"],"state_sha256":"8ee3adff774555b815653087661096cd099de6ad24c0aaa9b929c91dfb921e1e"}