{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UFYOVPSWURN65567PWQZSK4B72","short_pith_number":"pith:UFYOVPSW","canonical_record":{"source":{"id":"2503.17253","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2025-03-21T15:57:59Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"c61b6ccfc190bfe763070ca110bdcc9e6a68492fb0807a0d4123470644a92e58","abstract_canon_sha256":"5178a07edf3bac30e850b0dce54730b82608c0efb0c39f585661bf1257c9406f"},"schema_version":"1.0"},"canonical_sha256":"a170eabe56a45beef7df7da1992b81fe95269e624d573618b3f2434614b0a334","source":{"kind":"arxiv","id":"2503.17253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.17253","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.17253v1","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17253","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_12","alias_value":"UFYOVPSWURN6","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_16","alias_value":"UFYOVPSWURN65567","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_8","alias_value":"UFYOVPSW","created_at":"2026-07-05T10:37:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UFYOVPSWURN65567PWQZSK4B72","target":"record","payload":{"canonical_record":{"source":{"id":"2503.17253","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2025-03-21T15:57:59Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"c61b6ccfc190bfe763070ca110bdcc9e6a68492fb0807a0d4123470644a92e58","abstract_canon_sha256":"5178a07edf3bac30e850b0dce54730b82608c0efb0c39f585661bf1257c9406f"},"schema_version":"1.0"},"canonical_sha256":"a170eabe56a45beef7df7da1992b81fe95269e624d573618b3f2434614b0a334","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:37:01.075068Z","signature_b64":"BHsksS7xPyRnjnP2a4LyLnWwJ4T0YhpEtvuJF0w50PSY6eDEpeeAsHh7ILjZkWzdDM/hKViC+Ky4JzqJ/fp3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a170eabe56a45beef7df7da1992b81fe95269e624d573618b3f2434614b0a334","last_reissued_at":"2026-07-05T10:37:01.074566Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:37:01.074566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.17253","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":"2026-07-05T10:37:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O0Bt/5514UI2KyTWqVI9Mjp/viWXD1fUTSDYi8hPhYGBKzNsVUYIhp5UF/u+VL2HaxFydFrz3HavY1wlRa0nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T23:47:27.055510Z"},"content_sha256":"e995da7b892a13ad1025147c20226a4e73b1eae2ce72eea2b6bd3d8d942219cf","schema_version":"1.0","event_id":"sha256:e995da7b892a13ad1025147c20226a4e73b1eae2ce72eea2b6bd3d8d942219cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UFYOVPSWURN65567PWQZSK4B72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrated Subset Selection and Bandwidth Estimation Algorithm for Geographically Weighted Regression","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"stat.ME","authors_text":"Hyunwoo Lee, Young Woong Park","submitted_at":"2025-03-21T15:57:59Z","abstract_excerpt":"This study proposes a mathematical programming-based algorithm for the integrated selection of variable subsets and bandwidth estimation in geographically weighted regression, a local regression method that allows the kernel bandwidth and regression coefficients to vary across study areas. Unlike standard approaches in the literature, in which bandwidth and regression parameters are estimated separately for each focal point on the basis of different criteria, our model uses a single objective function for the integrated estimation of regression and bandwidth parameters across all focal points,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17253","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/2503.17253/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:37:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+gIFQTJ0sQ/v7sE08FtsukNrEhdQEhcPAMvXLH7zZdL9zxf1h2rrsJEEyeeGVXTq18LnH9rR2mBQHvopisb+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T23:47:27.056081Z"},"content_sha256":"ac5e415ef088c0ccee876a4efeb0d6a3cf6392dfddbeb8c64fc945f816bb5f0a","schema_version":"1.0","event_id":"sha256:ac5e415ef088c0ccee876a4efeb0d6a3cf6392dfddbeb8c64fc945f816bb5f0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UFYOVPSWURN65567PWQZSK4B72/bundle.json","state_url":"https://pith.science/pith/UFYOVPSWURN65567PWQZSK4B72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UFYOVPSWURN65567PWQZSK4B72/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":"2026-08-17T23:47:27Z","links":{"resolver":"https://pith.science/pith/UFYOVPSWURN65567PWQZSK4B72","bundle":"https://pith.science/pith/UFYOVPSWURN65567PWQZSK4B72/bundle.json","state":"https://pith.science/pith/UFYOVPSWURN65567PWQZSK4B72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UFYOVPSWURN65567PWQZSK4B72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UFYOVPSWURN65567PWQZSK4B72","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":"5178a07edf3bac30e850b0dce54730b82608c0efb0c39f585661bf1257c9406f","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2025-03-21T15:57:59Z","title_canon_sha256":"c61b6ccfc190bfe763070ca110bdcc9e6a68492fb0807a0d4123470644a92e58"},"schema_version":"1.0","source":{"id":"2503.17253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.17253","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.17253v1","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17253","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_12","alias_value":"UFYOVPSWURN6","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_16","alias_value":"UFYOVPSWURN65567","created_at":"2026-07-05T10:37:01Z"},{"alias_kind":"pith_short_8","alias_value":"UFYOVPSW","created_at":"2026-07-05T10:37:01Z"}],"graph_snapshots":[{"event_id":"sha256:ac5e415ef088c0ccee876a4efeb0d6a3cf6392dfddbeb8c64fc945f816bb5f0a","target":"graph","created_at":"2026-07-05T10:37:01Z","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/2503.17253/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study proposes a mathematical programming-based algorithm for the integrated selection of variable subsets and bandwidth estimation in geographically weighted regression, a local regression method that allows the kernel bandwidth and regression coefficients to vary across study areas. Unlike standard approaches in the literature, in which bandwidth and regression parameters are estimated separately for each focal point on the basis of different criteria, our model uses a single objective function for the integrated estimation of regression and bandwidth parameters across all focal points,","authors_text":"Hyunwoo Lee, Young Woong Park","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2025-03-21T15:57:59Z","title":"Integrated Subset Selection and Bandwidth Estimation Algorithm for Geographically Weighted Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17253","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:e995da7b892a13ad1025147c20226a4e73b1eae2ce72eea2b6bd3d8d942219cf","target":"record","created_at":"2026-07-05T10:37:01Z","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":"5178a07edf3bac30e850b0dce54730b82608c0efb0c39f585661bf1257c9406f","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ME","submitted_at":"2025-03-21T15:57:59Z","title_canon_sha256":"c61b6ccfc190bfe763070ca110bdcc9e6a68492fb0807a0d4123470644a92e58"},"schema_version":"1.0","source":{"id":"2503.17253","kind":"arxiv","version":1}},"canonical_sha256":"a170eabe56a45beef7df7da1992b81fe95269e624d573618b3f2434614b0a334","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a170eabe56a45beef7df7da1992b81fe95269e624d573618b3f2434614b0a334","first_computed_at":"2026-07-05T10:37:01.074566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:37:01.074566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BHsksS7xPyRnjnP2a4LyLnWwJ4T0YhpEtvuJF0w50PSY6eDEpeeAsHh7ILjZkWzdDM/hKViC+Ky4JzqJ/fp3Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:37:01.075068Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.17253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e995da7b892a13ad1025147c20226a4e73b1eae2ce72eea2b6bd3d8d942219cf","sha256:ac5e415ef088c0ccee876a4efeb0d6a3cf6392dfddbeb8c64fc945f816bb5f0a"],"state_sha256":"8ebeeb6bcbd64011fe23b2790086357837eef37043446036ba294b6fba89fc43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LQEsLZ9/h/M7u3OT/I1QVzd8fZ3J95uB80yNiYvPlF3gFEXmFRH2y8tFqx3CSlRDmERw8//L1PuHudiGuo/wAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T23:47:27.061248Z","bundle_sha256":"782eb9c3b164bd8bf5e12fd7bb9032c0b99534f7f1c454f8a6fa88d95420f374"}}