{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:32UG5DHVJDPKEVHMKQVXVGNUJZ","short_pith_number":"pith:32UG5DHV","canonical_record":{"source":{"id":"2412.21125","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-12-30T17:57:38Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c59b0362d72e35eef33b98811d9b57ceae76890e2174ab9e490b3ad5060f496c","abstract_canon_sha256":"625801f7d3e74395f6ebe0f050eaf1939af27d14f07d9d5f439e5cfed8f3ae68"},"schema_version":"1.0"},"canonical_sha256":"dea86e8cf548dea254ec542b7a99b44e6c1fce82cfce60c3972431be5cc72781","source":{"kind":"arxiv","id":"2412.21125","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21125","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21125v3","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21125","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"32UG5DHVJDPK","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_16","alias_value":"32UG5DHVJDPKEVHM","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_8","alias_value":"32UG5DHV","created_at":"2026-07-05T11:11:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:32UG5DHVJDPKEVHMKQVXVGNUJZ","target":"record","payload":{"canonical_record":{"source":{"id":"2412.21125","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-12-30T17:57:38Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c59b0362d72e35eef33b98811d9b57ceae76890e2174ab9e490b3ad5060f496c","abstract_canon_sha256":"625801f7d3e74395f6ebe0f050eaf1939af27d14f07d9d5f439e5cfed8f3ae68"},"schema_version":"1.0"},"canonical_sha256":"dea86e8cf548dea254ec542b7a99b44e6c1fce82cfce60c3972431be5cc72781","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:39.182169Z","signature_b64":"8YKN7x77wmuoCJXb6GHKugD8coD8myDVDZ2XH+V+drH+UAHo8SpCBObyXezj/1r+UmTKvFSyUSxmlJzqDv0WDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dea86e8cf548dea254ec542b7a99b44e6c1fce82cfce60c3972431be5cc72781","last_reissued_at":"2026-07-05T11:11:39.181645Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:39.181645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.21125","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:11:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PzwhGDsduJymbqhGlAL03k5p0N6BbCd0MqUMg2lmECwq35QB5wMZtjJsnXny7OVp0d72T8xYFyNCMSls+spUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T17:51:37.430008Z"},"content_sha256":"a09ccebf5d200872de8d67b5cd3571a807b74249572787f844afdb173ba65d6a","schema_version":"1.0","event_id":"sha256:a09ccebf5d200872de8d67b5cd3571a807b74249572787f844afdb173ba65d6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:32UG5DHVJDPKEVHMKQVXVGNUJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal e-value testing for properly constrained hypotheses","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Eugenio Clerico","submitted_at":"2024-12-30T17:57:38Z","abstract_excerpt":"Hypothesis testing via e-variables can be framed as a sequential betting game, where a player each round picks an e-variable. A good player's strategy results in an effective statistical test that rejects the null hypothesis as soon as sufficient evidence arises. Building on recent advances, we address the question of restricting the pool of e-variables to simplify strategy design without compromising effectiveness. We extend the results of Clerico(2024), by characterising optimal sets of e-variables for a broad class of non-parametric hypothesis tests, defined by finitely many regular constra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21125","kind":"arxiv","version":3},"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/2412.21125/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":"2026-07-05T11:11:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+uDsuSvnfS/Gs3+O+ua8hpJWQSkBqTpguwB5qHOuYLwOsgytho17XZCygA57cffF+7SH+zk9BeqsB4VNdvySCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T17:51:37.430586Z"},"content_sha256":"899204ee5e711b50ff23daf8a0543d84604b141aec80648475d7d660b77f09ac","schema_version":"1.0","event_id":"sha256:899204ee5e711b50ff23daf8a0543d84604b141aec80648475d7d660b77f09ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/bundle.json","state_url":"https://pith.science/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/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":"2026-08-10T17:51:37Z","links":{"resolver":"https://pith.science/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ","bundle":"https://pith.science/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/bundle.json","state":"https://pith.science/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32UG5DHVJDPKEVHMKQVXVGNUJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:32UG5DHVJDPKEVHMKQVXVGNUJZ","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":"625801f7d3e74395f6ebe0f050eaf1939af27d14f07d9d5f439e5cfed8f3ae68","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-12-30T17:57:38Z","title_canon_sha256":"c59b0362d72e35eef33b98811d9b57ceae76890e2174ab9e490b3ad5060f496c"},"schema_version":"1.0","source":{"id":"2412.21125","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21125","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21125v3","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21125","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"32UG5DHVJDPK","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_16","alias_value":"32UG5DHVJDPKEVHM","created_at":"2026-07-05T11:11:39Z"},{"alias_kind":"pith_short_8","alias_value":"32UG5DHV","created_at":"2026-07-05T11:11:39Z"}],"graph_snapshots":[{"event_id":"sha256:899204ee5e711b50ff23daf8a0543d84604b141aec80648475d7d660b77f09ac","target":"graph","created_at":"2026-07-05T11:11:39Z","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/2412.21125/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hypothesis testing via e-variables can be framed as a sequential betting game, where a player each round picks an e-variable. A good player's strategy results in an effective statistical test that rejects the null hypothesis as soon as sufficient evidence arises. Building on recent advances, we address the question of restricting the pool of e-variables to simplify strategy design without compromising effectiveness. We extend the results of Clerico(2024), by characterising optimal sets of e-variables for a broad class of non-parametric hypothesis tests, defined by finitely many regular constra","authors_text":"Eugenio Clerico","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-12-30T17:57:38Z","title":"Optimal e-value testing for properly constrained hypotheses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21125","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:a09ccebf5d200872de8d67b5cd3571a807b74249572787f844afdb173ba65d6a","target":"record","created_at":"2026-07-05T11:11:39Z","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":"625801f7d3e74395f6ebe0f050eaf1939af27d14f07d9d5f439e5cfed8f3ae68","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-12-30T17:57:38Z","title_canon_sha256":"c59b0362d72e35eef33b98811d9b57ceae76890e2174ab9e490b3ad5060f496c"},"schema_version":"1.0","source":{"id":"2412.21125","kind":"arxiv","version":3}},"canonical_sha256":"dea86e8cf548dea254ec542b7a99b44e6c1fce82cfce60c3972431be5cc72781","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dea86e8cf548dea254ec542b7a99b44e6c1fce82cfce60c3972431be5cc72781","first_computed_at":"2026-07-05T11:11:39.181645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:39.181645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8YKN7x77wmuoCJXb6GHKugD8coD8myDVDZ2XH+V+drH+UAHo8SpCBObyXezj/1r+UmTKvFSyUSxmlJzqDv0WDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:39.182169Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.21125","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a09ccebf5d200872de8d67b5cd3571a807b74249572787f844afdb173ba65d6a","sha256:899204ee5e711b50ff23daf8a0543d84604b141aec80648475d7d660b77f09ac"],"state_sha256":"577c1fb97a0cf049cd68690bc24dd802389f1f44862d5038de14e68e28c40cc2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4vn6ueQ2CtKEzWSDL/zXMTMVI0NFC4yayL9KNMKg001J+bP8CSXYRQv3gkbu0GghTX1WJ41ot+s/Y/FM7OCjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T17:51:37.436540Z","bundle_sha256":"127899bc98a64cd596f22e45c64ba1c92e8df1be8bd71bf45a800de926c1306b"}}