{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HFTBQNAT5IGEMFJVBBQLYA7FEQ","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":"9786245241a3cef54a658ed901364f743b0690cb745504af2cb3b894ee418290","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T12:53:55Z","title_canon_sha256":"5b36b2090317a96111a4ae3f6fe1a7ce5f55b6d6a2160af7200099f0031758ab"},"schema_version":"1.0","source":{"id":"2506.03899","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03899","created_at":"2026-07-05T11:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03899v1","created_at":"2026-07-05T11:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03899","created_at":"2026-07-05T11:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"HFTBQNAT5IGE","created_at":"2026-07-05T11:15:53Z"},{"alias_kind":"pith_short_16","alias_value":"HFTBQNAT5IGEMFJV","created_at":"2026-07-05T11:15:53Z"},{"alias_kind":"pith_short_8","alias_value":"HFTBQNAT","created_at":"2026-07-05T11:15:53Z"}],"graph_snapshots":[{"event_id":"sha256:e8d7ecdb8aee814f07694c662d3fefc267f0a2108725b6052a007b6697b63c79","target":"graph","created_at":"2026-07-05T11:15:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.03899/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the identification of differential equations from data, significant progresses have been made with the weak/integral formulation. In this paper, we explore the direction of finding more efficient and robust test functions adaptively given the observed data. While this is a difficult task, we propose weighting a collection of localized test functions for better identification of differential equations from a single trajectory of noisy observations on the differential equation. We find that using high dynamic regions is effective in finding the equation as well as the coefficients, and propos","authors_text":"Haomin Zhou, Jiahui Cheng, Sung Ha Kang, Wenjing Liao","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T12:53:55Z","title":"Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03899","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":"sha256:8353797e2b367a37db06c520df10f7c0a976aebdb3dec17841612f1e85d1d9f3","target":"record","created_at":"2026-07-05T11:15:53Z","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":"9786245241a3cef54a658ed901364f743b0690cb745504af2cb3b894ee418290","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T12:53:55Z","title_canon_sha256":"5b36b2090317a96111a4ae3f6fe1a7ce5f55b6d6a2160af7200099f0031758ab"},"schema_version":"1.0","source":{"id":"2506.03899","kind":"arxiv","version":1}},"canonical_sha256":"3966183413ea0c4615350860bc03e52416856a3719af5f438f54c6eb683df11e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3966183413ea0c4615350860bc03e52416856a3719af5f438f54c6eb683df11e","first_computed_at":"2026-07-05T11:15:53.741015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:53.741015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ei9/xyrGyBONyagW9gk0f4xmKOxS49DH/tekeC7umhORX9yoCTfpmBhTl/LrmInoBHgUPRpWq0FJJLQvwThCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:53.741516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.03899","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8353797e2b367a37db06c520df10f7c0a976aebdb3dec17841612f1e85d1d9f3","sha256:e8d7ecdb8aee814f07694c662d3fefc267f0a2108725b6052a007b6697b63c79"],"state_sha256":"c94f1527a355040c1ca73504f0f9f0c10360e6ea68617d61c8df19a092490454"}