{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6DD3WDBUZVGH4RYQYGLKHQT4M7","short_pith_number":"pith:6DD3WDBU","canonical_record":{"source":{"id":"2507.13531","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.PE","submitted_at":"2025-07-17T20:46:11Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"23f1c99e8272eb8c63fa55f697817839cbce82011198a06fb061c983267f1d77","abstract_canon_sha256":"f862fe09dd4d047f552065a860681b48afe8de68eace795aee53f1b27ad6d37b"},"schema_version":"1.0"},"canonical_sha256":"f0c7bb0c34cd4c7e4710c196a3c27c67daabec31d7c7c39596045121c9ba2d5a","source":{"kind":"arxiv","id":"2507.13531","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.13531","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.13531v1","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.13531","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"6DD3WDBUZVGH","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_16","alias_value":"6DD3WDBUZVGH4RYQ","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_8","alias_value":"6DD3WDBU","created_at":"2026-07-05T11:39:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6DD3WDBUZVGH4RYQYGLKHQT4M7","target":"record","payload":{"canonical_record":{"source":{"id":"2507.13531","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.PE","submitted_at":"2025-07-17T20:46:11Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"23f1c99e8272eb8c63fa55f697817839cbce82011198a06fb061c983267f1d77","abstract_canon_sha256":"f862fe09dd4d047f552065a860681b48afe8de68eace795aee53f1b27ad6d37b"},"schema_version":"1.0"},"canonical_sha256":"f0c7bb0c34cd4c7e4710c196a3c27c67daabec31d7c7c39596045121c9ba2d5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:18.806995Z","signature_b64":"j8R29HvTuJ8g7Sod4rWlO/8PLrjdrQHSHSUlWz+iRyOC3hk/v/oBV2zKlzgRIJyufprbJRWDn+/ycXlVI+hyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c7bb0c34cd4c7e4710c196a3c27c67daabec31d7c7c39596045121c9ba2d5a","last_reissued_at":"2026-07-05T11:39:18.806586Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:18.806586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.13531","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":"2026-07-05T11:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jz0KbTZiqyQ/xvQ0InoHUBE28agWkxXD+vClT5SWeAYSMwGx9avo8zIzR4zBglbXSq66YqRCLyrfTp2Rwz1+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:01:25.243719Z"},"content_sha256":"dbb24e8d01606674755cebe70de7bf9631bb5263a5b39558bfcf06091c05de47","schema_version":"1.0","event_id":"sha256:dbb24e8d01606674755cebe70de7bf9631bb5263a5b39558bfcf06091c05de47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6DD3WDBUZVGH4RYQYGLKHQT4M7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Methodological considerations for semialgebraic hypothesis testing with incomplete U-statistics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"q-bio.PE","authors_text":"Bryson Kagy, David Barnhill, Elizabeth Gross, John A. Rhodes, Joy Z. Zhang, Marina Garrote-L\\'opez, Max Hill","submitted_at":"2025-07-17T20:46:11Z","abstract_excerpt":"Recently, Sturma, Drton, and Leung proposed a general-purpose stochastic method for hypothesis testing in models defined by polynomial equality and inequality constraints. Notably, the method remains theoretically valid even near irregular points, such as singularities and boundaries, where traditional testing approaches often break down. In this paper, we evaluate its practical performance on a collection of biologically motivated models from phylogenetics. While the method performs remarkably well across different settings, we catalogue a number of issues that should be considered for effect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.13531","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/2507.13531/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":"2026-07-05T11:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i4dN5cQhXkgk2k8rAyXk54/VU16SLQZOagzhxKdizg1riUOTGCmO4ebStJ9iRNY1x86SKrMGBJ/wr+HAtTHLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:01:25.244093Z"},"content_sha256":"a9c6d5d85d137c256fbf28123903a885b0362421a458c044b4a40fea05708b45","schema_version":"1.0","event_id":"sha256:a9c6d5d85d137c256fbf28123903a885b0362421a458c044b4a40fea05708b45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/bundle.json","state_url":"https://pith.science/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/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":"2026-07-06T07:01:25Z","links":{"resolver":"https://pith.science/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7","bundle":"https://pith.science/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/bundle.json","state":"https://pith.science/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DD3WDBUZVGH4RYQYGLKHQT4M7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6DD3WDBUZVGH4RYQYGLKHQT4M7","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":"f862fe09dd4d047f552065a860681b48afe8de68eace795aee53f1b27ad6d37b","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.PE","submitted_at":"2025-07-17T20:46:11Z","title_canon_sha256":"23f1c99e8272eb8c63fa55f697817839cbce82011198a06fb061c983267f1d77"},"schema_version":"1.0","source":{"id":"2507.13531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.13531","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.13531v1","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.13531","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"6DD3WDBUZVGH","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_16","alias_value":"6DD3WDBUZVGH4RYQ","created_at":"2026-07-05T11:39:18Z"},{"alias_kind":"pith_short_8","alias_value":"6DD3WDBU","created_at":"2026-07-05T11:39:18Z"}],"graph_snapshots":[{"event_id":"sha256:a9c6d5d85d137c256fbf28123903a885b0362421a458c044b4a40fea05708b45","target":"graph","created_at":"2026-07-05T11:39:18Z","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/2507.13531/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Sturma, Drton, and Leung proposed a general-purpose stochastic method for hypothesis testing in models defined by polynomial equality and inequality constraints. Notably, the method remains theoretically valid even near irregular points, such as singularities and boundaries, where traditional testing approaches often break down. In this paper, we evaluate its practical performance on a collection of biologically motivated models from phylogenetics. While the method performs remarkably well across different settings, we catalogue a number of issues that should be considered for effect","authors_text":"Bryson Kagy, David Barnhill, Elizabeth Gross, John A. Rhodes, Joy Z. Zhang, Marina Garrote-L\\'opez, Max Hill","cross_cats":["stat.ME"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.PE","submitted_at":"2025-07-17T20:46:11Z","title":"Methodological considerations for semialgebraic hypothesis testing with incomplete U-statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.13531","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:dbb24e8d01606674755cebe70de7bf9631bb5263a5b39558bfcf06091c05de47","target":"record","created_at":"2026-07-05T11:39:18Z","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":"f862fe09dd4d047f552065a860681b48afe8de68eace795aee53f1b27ad6d37b","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.PE","submitted_at":"2025-07-17T20:46:11Z","title_canon_sha256":"23f1c99e8272eb8c63fa55f697817839cbce82011198a06fb061c983267f1d77"},"schema_version":"1.0","source":{"id":"2507.13531","kind":"arxiv","version":1}},"canonical_sha256":"f0c7bb0c34cd4c7e4710c196a3c27c67daabec31d7c7c39596045121c9ba2d5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0c7bb0c34cd4c7e4710c196a3c27c67daabec31d7c7c39596045121c9ba2d5a","first_computed_at":"2026-07-05T11:39:18.806586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:18.806586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j8R29HvTuJ8g7Sod4rWlO/8PLrjdrQHSHSUlWz+iRyOC3hk/v/oBV2zKlzgRIJyufprbJRWDn+/ycXlVI+hyAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:18.806995Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.13531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbb24e8d01606674755cebe70de7bf9631bb5263a5b39558bfcf06091c05de47","sha256:a9c6d5d85d137c256fbf28123903a885b0362421a458c044b4a40fea05708b45"],"state_sha256":"50c1be4a4a9124dad96b1d91fb2ff039cf0129af0bea81658fbda20d30f76a17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4rElfErbue3YekL1Jgv5zydrkMvoQG+/YgRG+QY52oIpzTZ6ljZJhKWGjfK/9GiTbGKheTpywOb+LIGH4mCtAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T07:01:25.246435Z","bundle_sha256":"a5192e65868518451291d23c6ed3998c6d30c23ec9fa04ea5a9f88f3082f2723"}}