{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HA7ZRA3HPVWR36VYRC2UNB7H4F","short_pith_number":"pith:HA7ZRA3H","canonical_record":{"source":{"id":"1603.03532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-03-11T06:13:23Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.comp-ph"],"title_canon_sha256":"de988e90fb2157822ab5141f3b9bd0705304406a00125ca0f7010579b9b45c8b","abstract_canon_sha256":"4dbda6c840321d15d0bf37cb330e4e69eafe5ab9c46ac3466f70f931507c609f"},"schema_version":"1.0"},"canonical_sha256":"383f9883677d6d1dfab888b54687e7e153b0f8a4d3bb55c68162ff0fe8a57bd0","source":{"kind":"arxiv","id":"1603.03532","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HA7ZRA3HPVWR36VYRC2UNB7H4F","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-03-11T06:13:23Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.comp-ph"],"title_canon_sha256":"de988e90fb2157822ab5141f3b9bd0705304406a00125ca0f7010579b9b45c8b","abstract_canon_sha256":"4dbda6c840321d15d0bf37cb330e4e69eafe5ab9c46ac3466f70f931507c609f"},"schema_version":"1.0"},"canonical_sha256":"383f9883677d6d1dfab888b54687e7e153b0f8a4d3bb55c68162ff0fe8a57bd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:15.406427Z","signature_b64":"Z28L3YKFQRAY1c+fsBhjxE+LOMp2Cbij2EXrQzAKy7JxvjjbnEg7cAVVS6RV9YwHIUhb8dWEjaNsMO3D+HVLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"383f9883677d6d1dfab888b54687e7e153b0f8a4d3bb55c68162ff0fe8a57bd0","last_reissued_at":"2026-05-18T01:19:15.405919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:15.405919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03532","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5tWH3WyBAs05iPByNmuNlw2jrdcMQRy5NJYpwT9e5B4b7V7Qh9zVTUkap5AzmBWbNIDIhltBhjRQEDprI/SnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:40:27.944216Z"},"content_sha256":"52282372a7c61dd2609a6cd49ba4f81ac2a328533143f143237c969953750634","schema_version":"1.0","event_id":"sha256:52282372a7c61dd2609a6cd49ba4f81ac2a328533143f143237c969953750634"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HA7ZRA3HPVWR36VYRC2UNB7H4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularization to orthogonal-polynomials fitting with application to magnetization data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.comp-ph"],"primary_cat":"cs.NA","authors_text":"Bao Xu","submitted_at":"2016-03-11T06:13:23Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03532","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FAj00tMHkK9LgiqFqdF3j+ce2k8X9pV1er5IRtUuFVeGoUtU1hnfswl1zg7NV8ySY7m8oIdf5qreXgKDCndjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:40:27.945005Z"},"content_sha256":"8ae7d2bb215941083497b5a7c5c7d68179264ab3449e2ddb4004e4dc634eee49","schema_version":"1.0","event_id":"sha256:8ae7d2bb215941083497b5a7c5c7d68179264ab3449e2ddb4004e4dc634eee49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/bundle.json","state_url":"https://pith.science/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T00:40:27Z","links":{"resolver":"https://pith.science/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F","bundle":"https://pith.science/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/bundle.json","state":"https://pith.science/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HA7ZRA3HPVWR36VYRC2UNB7H4F/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"INAH+HyzbQ3HfRUZ2bqTIAxsv8fhhIbF91JemA0reiUz5unxtf2v0TfERpot4/ZnPRwNKW+pR5/OhI2vhf0TDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T00:40:27.948984Z","bundle_sha256":"7f89926e7396655daeaed02814ccff5034b1affed5cbca941a5bbac905e4f8d0"}}