{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HA7ZRA3HPVWR36VYRC2UNB7H4F","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":"4dbda6c840321d15d0bf37cb330e4e69eafe5ab9c46ac3466f70f931507c609f","cross_cats_sorted":["cond-mat.mtrl-sci","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-03-11T06:13:23Z","title_canon_sha256":"de988e90fb2157822ab5141f3b9bd0705304406a00125ca0f7010579b9b45c8b"},"schema_version":"1.0","source":{"id":"1603.03532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03532","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03532v1","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03532","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"HA7ZRA3HPVWR","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HA7ZRA3HPVWR36VY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HA7ZRA3H","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:8ae7d2bb215941083497b5a7c5c7d68179264ab3449e2ddb4004e4dc634eee49","target":"graph","created_at":"2026-05-18T01:19:15Z","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":"An obstacle encountered in applying orthogonal-polynomials fitting is how to select out the proper fitting expression. By adding a Laplace term to the error expression and introducing the concept of overfitting degree, a regularization and corresponding cross validation scheme is proposed for two-variable polynomials fitting. While the Fortran implementation of above scheme is applied to magnetization data, a satisfactory fitting precision is reached, and overfitting problem can be quantitatively assessed, which therefore offers the quite reliable base for future comprehensive investigations o","authors_text":"Bao Xu","cross_cats":["cond-mat.mtrl-sci","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-03-11T06:13:23Z","title":"Regularization to orthogonal-polynomials fitting with application to magnetization data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03532","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":"sha256:52282372a7c61dd2609a6cd49ba4f81ac2a328533143f143237c969953750634","target":"record","created_at":"2026-05-18T01:19:15Z","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":"4dbda6c840321d15d0bf37cb330e4e69eafe5ab9c46ac3466f70f931507c609f","cross_cats_sorted":["cond-mat.mtrl-sci","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-03-11T06:13:23Z","title_canon_sha256":"de988e90fb2157822ab5141f3b9bd0705304406a00125ca0f7010579b9b45c8b"},"schema_version":"1.0","source":{"id":"1603.03532","kind":"arxiv","version":1}},"canonical_sha256":"383f9883677d6d1dfab888b54687e7e153b0f8a4d3bb55c68162ff0fe8a57bd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"383f9883677d6d1dfab888b54687e7e153b0f8a4d3bb55c68162ff0fe8a57bd0","first_computed_at":"2026-05-18T01:19:15.405919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:15.405919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z28L3YKFQRAY1c+fsBhjxE+LOMp2Cbij2EXrQzAKy7JxvjjbnEg7cAVVS6RV9YwHIUhb8dWEjaNsMO3D+HVLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:15.406427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52282372a7c61dd2609a6cd49ba4f81ac2a328533143f143237c969953750634","sha256:8ae7d2bb215941083497b5a7c5c7d68179264ab3449e2ddb4004e4dc634eee49"],"state_sha256":"c1ec2a621d791578e24893dcf2baea2e58099cd42834eb6883156a275dcf8f22"}