{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WYL4DZR27BBXNAKIRSFHGMHBGE","short_pith_number":"pith:WYL4DZR2","canonical_record":{"source":{"id":"1710.02333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-10-06T09:59:58Z","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"title_canon_sha256":"8073ca496100bb77055824f8ea2e9f5d9277c03568751ebd3cc3174637ec6c04","abstract_canon_sha256":"bd2e29523d735a072a437044487392a718c9491f43eff5f08993ace1579338c4"},"schema_version":"1.0"},"canonical_sha256":"b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a","source":{"kind":"arxiv","id":"1710.02333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02333","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02333v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02333","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"WYL4DZR27BBX","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WYL4DZR27BBXNAKI","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WYL4DZR2","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WYL4DZR27BBXNAKIRSFHGMHBGE","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-10-06T09:59:58Z","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"title_canon_sha256":"8073ca496100bb77055824f8ea2e9f5d9277c03568751ebd3cc3174637ec6c04","abstract_canon_sha256":"bd2e29523d735a072a437044487392a718c9491f43eff5f08993ace1579338c4"},"schema_version":"1.0"},"canonical_sha256":"b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:33.708149Z","signature_b64":"lCkACbmRXuwhK83gaXVeggIi6wAsFVYCIE3J81rIcR1HLQdoedAGCcq2SIqZ/adB6GZG0ElTHdFgwQgKhol7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a","last_reissued_at":"2026-05-18T00:33:33.707539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:33.707539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02333","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yyLcyCLDHlz5/rhcauE20rwAcV2p0helodnNW7MVjt7MnCpt/rU3oED1e9TzYATz3a78RUtgCnZ5Fa8hbXi/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:09:20.615639Z"},"content_sha256":"00240ae4340682403f4cfc28efe95671589f9404630dc2185407cb5e05cba35e","schema_version":"1.0","event_id":"sha256:00240ae4340682403f4cfc28efe95671589f9404630dc2185407cb5e05cba35e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WYL4DZR27BBXNAKIRSFHGMHBGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.CO","stat.TH"],"primary_cat":"stat.ME","authors_text":"Bruno Ebner, Klaus Mecke, Michael A. Klatt, Norbert Henze","submitted_at":"2017-10-06T09:59:58Z","abstract_excerpt":"We propose a class of goodness-of-fit tests for complete spatial randomness (CSR). In contrast to standard tests, our procedure utilizes a transformation of the data to a binary image, which is then characterized by geometric functionals. Under a suitable limiting regime, we derive the asymptotic distribution of the test statistics under the null hypothesis and almost sure limits under certain alternatives. The new tests are computationally efficient, and simulations show that they are strong competitors to other tests of CSR. The tests are applied to a real data set in gamma-ray astronomy, an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02333","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uT4tux1riUNK+3ChKWawJfcoNWYMklRhsOf4vQRFdkywqLWtQF28KrTCnIRu95V7uiaLxjFH+AvaZMNJWjeDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:09:20.616409Z"},"content_sha256":"ca19e45d074f7f3d5205a10afb31c00aa79f3b3d2c70c6e6554f02752544acd7","schema_version":"1.0","event_id":"sha256:ca19e45d074f7f3d5205a10afb31c00aa79f3b3d2c70c6e6554f02752544acd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/bundle.json","state_url":"https://pith.science/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/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":"2026-05-31T11:09:20Z","links":{"resolver":"https://pith.science/pith/WYL4DZR27BBXNAKIRSFHGMHBGE","bundle":"https://pith.science/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/bundle.json","state":"https://pith.science/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYL4DZR27BBXNAKIRSFHGMHBGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WYL4DZR27BBXNAKIRSFHGMHBGE","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":"bd2e29523d735a072a437044487392a718c9491f43eff5f08993ace1579338c4","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-10-06T09:59:58Z","title_canon_sha256":"8073ca496100bb77055824f8ea2e9f5d9277c03568751ebd3cc3174637ec6c04"},"schema_version":"1.0","source":{"id":"1710.02333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02333","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02333v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02333","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"WYL4DZR27BBX","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WYL4DZR27BBXNAKI","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WYL4DZR2","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:ca19e45d074f7f3d5205a10afb31c00aa79f3b3d2c70c6e6554f02752544acd7","target":"graph","created_at":"2026-05-18T00:33:33Z","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":"We propose a class of goodness-of-fit tests for complete spatial randomness (CSR). In contrast to standard tests, our procedure utilizes a transformation of the data to a binary image, which is then characterized by geometric functionals. Under a suitable limiting regime, we derive the asymptotic distribution of the test statistics under the null hypothesis and almost sure limits under certain alternatives. The new tests are computationally efficient, and simulations show that they are strong competitors to other tests of CSR. The tests are applied to a real data set in gamma-ray astronomy, an","authors_text":"Bruno Ebner, Klaus Mecke, Michael A. Klatt, Norbert Henze","cross_cats":["math.ST","stat.CO","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-10-06T09:59:58Z","title":"Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02333","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":"sha256:00240ae4340682403f4cfc28efe95671589f9404630dc2185407cb5e05cba35e","target":"record","created_at":"2026-05-18T00:33:33Z","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":"bd2e29523d735a072a437044487392a718c9491f43eff5f08993ace1579338c4","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-10-06T09:59:58Z","title_canon_sha256":"8073ca496100bb77055824f8ea2e9f5d9277c03568751ebd3cc3174637ec6c04"},"schema_version":"1.0","source":{"id":"1710.02333","kind":"arxiv","version":1}},"canonical_sha256":"b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a","first_computed_at":"2026-05-18T00:33:33.707539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:33.707539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lCkACbmRXuwhK83gaXVeggIi6wAsFVYCIE3J81rIcR1HLQdoedAGCcq2SIqZ/adB6GZG0ElTHdFgwQgKhol7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:33.708149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00240ae4340682403f4cfc28efe95671589f9404630dc2185407cb5e05cba35e","sha256:ca19e45d074f7f3d5205a10afb31c00aa79f3b3d2c70c6e6554f02752544acd7"],"state_sha256":"11f934885e901138252939356e48940d4d95cc00a21a435d5539bf15547f9566"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6bDVYL/8ke5vO8WfMfKrUFhsSdTidKYMdBGxS/zVmf+GC3lI0fA74sNQC3ZsKSJLTJiWZiUkZgYJj34rs4cnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:09:20.620112Z","bundle_sha256":"ccc022455e5f0382a086126a7ef1734743e58fb68a383cca55fa7af50c5edac6"}}