{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MDO5MTR4U2UNNF2FIMI64KZJ6K","short_pith_number":"pith:MDO5MTR4","schema_version":"1.0","canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","source":{"kind":"arxiv","id":"1307.0239","version":4},"attestation_state":"computed","paper":{"title":"Global envelope tests for spatial processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Henri Seijo, Mari Myllym\\\"aki, Pavel Grabarnik, Tom\\'as Mrkvicka, Ute Hahn","submitted_at":"2013-06-30T20:14:48Z","abstract_excerpt":"Envelope tests are a popular tool in spatial statistics, where they are used in goodness-of-fit testing. These tests graphically compare an empirical function $T(r)$ with its simulated counterparts from the null model. However, the type I error probability $\\alpha$ is conventionally controlled for a fixed distance $r$ only, whereas the functions are inspected on an interval of distances $I$. In this study, we propose two approaches related to Barnard's Monte Carlo test for building global envelope tests on $I$:(1) ordering the empirical and simulated functions based on their $r$-wise ranks amo"},"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":"1307.0239","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-30T20:14:48Z","cross_cats_sorted":[],"title_canon_sha256":"97e3c7ad1fbd91f83a1e7a5375342acf3675fe30a619860d684d0cca9b3dfef3","abstract_canon_sha256":"b842e6fa8b4b6de416f021d4558663261d85648047b8bbc0019c50467285991c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:00.431159Z","signature_b64":"JjXsFFApQbMC8U65F5WNsVj1MYJphQgAdvSxzDIXUGm7M8YRP2yBf16whJmY+CZe1b1Kmc75xCJJqQOkaT6kDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","last_reissued_at":"2026-05-18T00:47:00.430631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:00.430631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global envelope tests for spatial processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Henri Seijo, Mari Myllym\\\"aki, Pavel Grabarnik, Tom\\'as Mrkvicka, Ute Hahn","submitted_at":"2013-06-30T20:14:48Z","abstract_excerpt":"Envelope tests are a popular tool in spatial statistics, where they are used in goodness-of-fit testing. These tests graphically compare an empirical function $T(r)$ with its simulated counterparts from the null model. However, the type I error probability $\\alpha$ is conventionally controlled for a fixed distance $r$ only, whereas the functions are inspected on an interval of distances $I$. In this study, we propose two approaches related to Barnard's Monte Carlo test for building global envelope tests on $I$:(1) ordering the empirical and simulated functions based on their $r$-wise ranks amo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0239","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.0239","created_at":"2026-05-18T00:47:00.430699+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.0239v4","created_at":"2026-05-18T00:47:00.430699+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0239","created_at":"2026-05-18T00:47:00.430699+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDO5MTR4U2UN","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDO5MTR4U2UNNF2F","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDO5MTR4","created_at":"2026-05-18T12:27:52.871228+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/MDO5MTR4U2UNNF2FIMI64KZJ6K","json":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K.json","graph_json":"https://pith.science/api/pith-number/MDO5MTR4U2UNNF2FIMI64KZJ6K/graph.json","events_json":"https://pith.science/api/pith-number/MDO5MTR4U2UNNF2FIMI64KZJ6K/events.json","paper":"https://pith.science/paper/MDO5MTR4"},"agent_actions":{"view_html":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K","download_json":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K.json","view_paper":"https://pith.science/paper/MDO5MTR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.0239&json=true","fetch_graph":"https://pith.science/api/pith-number/MDO5MTR4U2UNNF2FIMI64KZJ6K/graph.json","fetch_events":"https://pith.science/api/pith-number/MDO5MTR4U2UNNF2FIMI64KZJ6K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/action/storage_attestation","attest_author":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/action/author_attestation","sign_citation":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/action/citation_signature","submit_replication":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/action/replication_record"}},"created_at":"2026-05-18T00:47:00.430699+00:00","updated_at":"2026-05-18T00:47:00.430699+00:00"}