{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AWMMXK6S7A7ODDKTAH5VRY6Y4R","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":"7b2aec628d5e801c9bbf78004feddf117aa2b9c6b1f8e9870fbcf423bbbbe2b4","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T04:36:55Z","title_canon_sha256":"08bd688d09366d127da8a0e43e87e6551a12250223d2f2e057cc28e47e23926e"},"schema_version":"1.0","source":{"id":"1403.7868","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7868","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7868v3","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7868","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"AWMMXK6S7A7O","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AWMMXK6S7A7ODDKT","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AWMMXK6S","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:fd07404f3dbfd1bbe1516ab3c1cf2a10b972fcf9d45b6f6d54da5d12c1d33af6","target":"graph","created_at":"2026-05-18T02:26:31Z","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 consider the problem of hypothesis testing in the situation where the first hypothesis is simple and the second one is local one-sided composite. We describe the choice of the thresholds and the power functions of different tests when the intensity function of the observed inhomogeneous Poisson process has two different types of singularity: cusp and discontinuity. The asymptotic results are illustrated by numerical simulations.","authors_text":"Lin Yang (LMM), Serguei Dachian, Yury Kutoyants (LMM)","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T04:36:55Z","title":"On Hypothesis Testing for Poisson Processes. Singular Cases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7868","kind":"arxiv","version":3},"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:a332677d065fc7f44317298695b6321c1c7f3e05d94dd70e8ec9cb97b7968680","target":"record","created_at":"2026-05-18T02:26:31Z","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":"7b2aec628d5e801c9bbf78004feddf117aa2b9c6b1f8e9870fbcf423bbbbe2b4","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-31T04:36:55Z","title_canon_sha256":"08bd688d09366d127da8a0e43e87e6551a12250223d2f2e057cc28e47e23926e"},"schema_version":"1.0","source":{"id":"1403.7868","kind":"arxiv","version":3}},"canonical_sha256":"0598cbabd2f83ee18d5301fb58e3d8e4480583914f500b67f91c31f12d464524","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0598cbabd2f83ee18d5301fb58e3d8e4480583914f500b67f91c31f12d464524","first_computed_at":"2026-05-18T02:26:31.833130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:31.833130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IR9U024C95HNR9XlM/gubhKg2NdL+yPSH39sFLtGSxRK1zKdNzkuqtdcnb+i32ZznPVMmXin981vna3Z9XkXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:31.833532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7868","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a332677d065fc7f44317298695b6321c1c7f3e05d94dd70e8ec9cb97b7968680","sha256:fd07404f3dbfd1bbe1516ab3c1cf2a10b972fcf9d45b6f6d54da5d12c1d33af6"],"state_sha256":"cc18f32ff99107a5dd1d993d38179648e1ca801975f789d3e939e4e103f5ee62"}