{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MDO5MTR4U2UNNF2FIMI64KZJ6K","short_pith_number":"pith:MDO5MTR4","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"},"canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","source":{"kind":"arxiv","id":"1307.0239","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0239","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0239v4","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0239","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"pith_short_12","alias_value":"MDO5MTR4U2UN","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MDO5MTR4U2UNNF2F","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MDO5MTR4","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MDO5MTR4U2UNNF2FIMI64KZJ6K","target":"record","payload":{"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"},"canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","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"},"source_kind":"arxiv","source_id":"1307.0239","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GjrNfoYqIYGjh2FIFIprmscLWyZFMtBzT/bvOP4ML5w5yzLBb9gP/XBstraFHxeOTS6i1ra2CuWyj+x9PDOxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:55:26.942827Z"},"content_sha256":"0d767be2081a7ee325faa939a1e3f56318a70a97176137cd222910c2aa32618f","schema_version":"1.0","event_id":"sha256:0d767be2081a7ee325faa939a1e3f56318a70a97176137cd222910c2aa32618f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MDO5MTR4U2UNNF2FIMI64KZJ6K","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m87iC/Jr0LOPZSX7qSAekskFuFp6MfjK7qQmQlOo6t672mIQg57xjt2/MAZ+gD0qU0CzH0DOokG3v9lJoa16DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:55:26.943160Z"},"content_sha256":"a21955b12a9f01242a281897a92ea3d65ed19182234ce002c1831431356f3de8","schema_version":"1.0","event_id":"sha256:a21955b12a9f01242a281897a92ea3d65ed19182234ce002c1831431356f3de8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/bundle.json","state_url":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/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":"2026-06-24T18:55:26Z","links":{"resolver":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K","bundle":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/bundle.json","state":"https://pith.science/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDO5MTR4U2UNNF2FIMI64KZJ6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MDO5MTR4U2UNNF2FIMI64KZJ6K","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":"b842e6fa8b4b6de416f021d4558663261d85648047b8bbc0019c50467285991c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-30T20:14:48Z","title_canon_sha256":"97e3c7ad1fbd91f83a1e7a5375342acf3675fe30a619860d684d0cca9b3dfef3"},"schema_version":"1.0","source":{"id":"1307.0239","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0239","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0239v4","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0239","created_at":"2026-05-18T00:47:00Z"},{"alias_kind":"pith_short_12","alias_value":"MDO5MTR4U2UN","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MDO5MTR4U2UNNF2F","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MDO5MTR4","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:a21955b12a9f01242a281897a92ea3d65ed19182234ce002c1831431356f3de8","target":"graph","created_at":"2026-05-18T00:47:00Z","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":"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","authors_text":"Henri Seijo, Mari Myllym\\\"aki, Pavel Grabarnik, Tom\\'as Mrkvicka, Ute Hahn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-30T20:14:48Z","title":"Global envelope tests for spatial processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0239","kind":"arxiv","version":4},"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":"sha256:0d767be2081a7ee325faa939a1e3f56318a70a97176137cd222910c2aa32618f","target":"record","created_at":"2026-05-18T00:47:00Z","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":"b842e6fa8b4b6de416f021d4558663261d85648047b8bbc0019c50467285991c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-30T20:14:48Z","title_canon_sha256":"97e3c7ad1fbd91f83a1e7a5375342acf3675fe30a619860d684d0cca9b3dfef3"},"schema_version":"1.0","source":{"id":"1307.0239","kind":"arxiv","version":4}},"canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60ddd64e3ca6a8d697454311ee2b29f2bd35ad87408c82ec2df1c81b69a863da","first_computed_at":"2026-05-18T00:47:00.430631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:00.430631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JjXsFFApQbMC8U65F5WNsVj1MYJphQgAdvSxzDIXUGm7M8YRP2yBf16whJmY+CZe1b1Kmc75xCJJqQOkaT6kDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:00.431159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0239","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d767be2081a7ee325faa939a1e3f56318a70a97176137cd222910c2aa32618f","sha256:a21955b12a9f01242a281897a92ea3d65ed19182234ce002c1831431356f3de8"],"state_sha256":"0d255c0b2e58c61f8b1b6eefe14792046026bad522eebf38dc126525aeee5f84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WDDeUNqchSGqVrgQDUsM0DGUUtPIy9ZqS0yjyxZWnLrYCDs+En3+9/gRW4ILOr2hA5frc8uHmGGhfYYZ1VjDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T18:55:26.945036Z","bundle_sha256":"a44622eaec3906033432bbbd69217b711cb793cb40f0b0584c7af795fa88f120"}}