{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PEX2YDGSNWA2RZK3RNZ4GKOLPI","short_pith_number":"pith:PEX2YDGS","schema_version":"1.0","canonical_sha256":"792fac0cd26d81a8e55b8b73c329cb7a3eb1a83e61de8dd3a75c6e8f7c5bdf4b","source":{"kind":"arxiv","id":"2607.12502","version":1},"attestation_state":"computed","paper":{"title":"Symbolic Weak-form Recovery of 2-D Stochastic Generators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CE","math.PR","physics.data-an"],"primary_cat":"stat.ME","authors_text":"Eshwar R A, Sai Sathvik Gullipalli","submitted_at":"2026-07-14T08:33:53Z","abstract_excerpt":"Recovering two-dimensional Ito generators from trajectory data is difficult because drift increments have low signal-to-noise, bivariate weak designs can be ill-conditioned, and unconstrained tensor estimates need not be positive semidefinite. We study WG-SINDy estimator combining covariance-shaped spatial kernels, a ridge-stabilized local-polynomial projection, adaptive-LASSO/STLSQ selection, one in-sample per-component feasible diagonal GLS pass, and a PSD projection--Cholesky read-out with mild isotropic shrinkage. The released estimator uses a data-dependent full-cloud smoother and one in-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.12502","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-07-14T08:33:53Z","cross_cats_sorted":["cs.CE","math.PR","physics.data-an"],"title_canon_sha256":"230c08d5986c133647d9b457e73c29903106aab3f5f74efa67db05cb83b0ccbd","abstract_canon_sha256":"4aa754678147d76d723d91dffe6766099cca20040ab580205b35333e0a2cd1ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T01:21:38.382980Z","signature_b64":"gjUlxkCIfiWxZ7arFwKDUoSeysKJyE5mwZXfjuMA6XqtwvfbU0g79Ksrn0F9dxxcWS3aFirzdTTItEhn65/GDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"792fac0cd26d81a8e55b8b73c329cb7a3eb1a83e61de8dd3a75c6e8f7c5bdf4b","last_reissued_at":"2026-07-15T01:21:38.382147Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T01:21:38.382147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symbolic Weak-form Recovery of 2-D Stochastic Generators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CE","math.PR","physics.data-an"],"primary_cat":"stat.ME","authors_text":"Eshwar R A, Sai Sathvik Gullipalli","submitted_at":"2026-07-14T08:33:53Z","abstract_excerpt":"Recovering two-dimensional Ito generators from trajectory data is difficult because drift increments have low signal-to-noise, bivariate weak designs can be ill-conditioned, and unconstrained tensor estimates need not be positive semidefinite. We study WG-SINDy estimator combining covariance-shaped spatial kernels, a ridge-stabilized local-polynomial projection, adaptive-LASSO/STLSQ selection, one in-sample per-component feasible diagonal GLS pass, and a PSD projection--Cholesky read-out with mild isotropic shrinkage. The released estimator uses a data-dependent full-cloud smoother and one in-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12502","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.12502/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.12502","created_at":"2026-07-15T01:21:38.382585+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.12502v1","created_at":"2026-07-15T01:21:38.382585+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12502","created_at":"2026-07-15T01:21:38.382585+00:00"},{"alias_kind":"pith_short_12","alias_value":"PEX2YDGSNWA2","created_at":"2026-07-15T01:21:38.382585+00:00"},{"alias_kind":"pith_short_16","alias_value":"PEX2YDGSNWA2RZK3","created_at":"2026-07-15T01:21:38.382585+00:00"},{"alias_kind":"pith_short_8","alias_value":"PEX2YDGS","created_at":"2026-07-15T01:21:38.382585+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI","json":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI.json","graph_json":"https://pith.science/api/pith-number/PEX2YDGSNWA2RZK3RNZ4GKOLPI/graph.json","events_json":"https://pith.science/api/pith-number/PEX2YDGSNWA2RZK3RNZ4GKOLPI/events.json","paper":"https://pith.science/paper/PEX2YDGS"},"agent_actions":{"view_html":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI","download_json":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI.json","view_paper":"https://pith.science/paper/PEX2YDGS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.12502&json=true","fetch_graph":"https://pith.science/api/pith-number/PEX2YDGSNWA2RZK3RNZ4GKOLPI/graph.json","fetch_events":"https://pith.science/api/pith-number/PEX2YDGSNWA2RZK3RNZ4GKOLPI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI/action/storage_attestation","attest_author":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI/action/author_attestation","sign_citation":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI/action/citation_signature","submit_replication":"https://pith.science/pith/PEX2YDGSNWA2RZK3RNZ4GKOLPI/action/replication_record"}},"created_at":"2026-07-15T01:21:38.382585+00:00","updated_at":"2026-07-15T01:21:38.382585+00:00"}