{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZE7NBFWOGKBUHYHLGJICCK63AX","short_pith_number":"pith:ZE7NBFWO","canonical_record":{"source":{"id":"2501.03694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-07T10:44:34Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"c8b785b113d705154d4ab5cb03a3a1e4d434c25df9e4b73abeb6b919c2570827","abstract_canon_sha256":"6eca9afdd837a792bb6359e967aa2d90b95e0f1d110e1f730ab7514225f9a09f"},"schema_version":"1.0"},"canonical_sha256":"c93ed096ce328343e0eb3250212bdb05fa403821dfdd83b5b8b64c26271baa86","source":{"kind":"arxiv","id":"2501.03694","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.03694","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"2501.03694v1","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.03694","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"ZE7NBFWOGKBU","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZE7NBFWOGKBUHYHL","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZE7NBFWO","created_at":"2026-07-05T09:57:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZE7NBFWOGKBUHYHLGJICCK63AX","target":"record","payload":{"canonical_record":{"source":{"id":"2501.03694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-07T10:44:34Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"c8b785b113d705154d4ab5cb03a3a1e4d434c25df9e4b73abeb6b919c2570827","abstract_canon_sha256":"6eca9afdd837a792bb6359e967aa2d90b95e0f1d110e1f730ab7514225f9a09f"},"schema_version":"1.0"},"canonical_sha256":"c93ed096ce328343e0eb3250212bdb05fa403821dfdd83b5b8b64c26271baa86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:58.553417Z","signature_b64":"fMVoRodcsS/Klf66vuVyu+eq93doSGSMYnroqK7eLOWl4Jj/6uYyWN+/Ojl5Nyt/Cgz4iF9HxAUXXJfJwuNfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c93ed096ce328343e0eb3250212bdb05fa403821dfdd83b5b8b64c26271baa86","last_reissued_at":"2026-07-05T09:57:58.552883Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:58.552883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.03694","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":"2026-07-05T09:57:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LpaglD6Hy4qp5/KCRZfRMW+RYfLn4wOCzm5rkyHmA0Vh7R8ciLElhMILA7orp8d9zorR3YvSUNlxONfA+0ueAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:28:34.496827Z"},"content_sha256":"032e49a77353f14bfe26d3db39ae0e0fb505f2af2af40b2d909225edec73c519","schema_version":"1.0","event_id":"sha256:032e49a77353f14bfe26d3db39ae0e0fb505f2af2af40b2d909225edec73c519"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZE7NBFWOGKBUHYHLGJICCK63AX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-sample properties of the trimmed mean","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Paulo Orenstein, Roberto I. Oliveira, Zoraida F. Rico","submitted_at":"2025-01-07T10:44:34Z","abstract_excerpt":"The trimmed mean of $n$ scalar random variables from a distribution $P$ is the variant of the standard sample mean where the $k$ smallest and $k$ largest values in the sample are discarded for some parameter $k$. In this paper, we look at the finite-sample properties of the trimmed mean as an estimator for the mean of $P$. Assuming finite variance, we prove that the trimmed mean is ``sub-Gaussian'' in the sense of achieving Gaussian-type concentration around the mean. Under slightly stronger assumptions, we show the left and right tails of the trimmed mean satisfy a strong ratio-type approxima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03694","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/2501.03694/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":"2026-07-05T09:57:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UFUw1t7cZ/rCFFzd3PgWx13MAx1JERwLerUhHO0G9gq1d+NYV4JOXmghJKRKoi1QRFwxd/YdWI9GdjwQekJMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:28:34.497429Z"},"content_sha256":"61cc07e32bf087c14862e341692a5599df09fc9dd88f3fcef1608c868f5a9051","schema_version":"1.0","event_id":"sha256:61cc07e32bf087c14862e341692a5599df09fc9dd88f3fcef1608c868f5a9051"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/bundle.json","state_url":"https://pith.science/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/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":"2026-08-08T15:28:34Z","links":{"resolver":"https://pith.science/pith/ZE7NBFWOGKBUHYHLGJICCK63AX","bundle":"https://pith.science/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/bundle.json","state":"https://pith.science/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZE7NBFWOGKBUHYHLGJICCK63AX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZE7NBFWOGKBUHYHLGJICCK63AX","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":"6eca9afdd837a792bb6359e967aa2d90b95e0f1d110e1f730ab7514225f9a09f","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-07T10:44:34Z","title_canon_sha256":"c8b785b113d705154d4ab5cb03a3a1e4d434c25df9e4b73abeb6b919c2570827"},"schema_version":"1.0","source":{"id":"2501.03694","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.03694","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"2501.03694v1","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.03694","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"ZE7NBFWOGKBU","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZE7NBFWOGKBUHYHL","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZE7NBFWO","created_at":"2026-07-05T09:57:58Z"}],"graph_snapshots":[{"event_id":"sha256:61cc07e32bf087c14862e341692a5599df09fc9dd88f3fcef1608c868f5a9051","target":"graph","created_at":"2026-07-05T09:57:58Z","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/2501.03694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The trimmed mean of $n$ scalar random variables from a distribution $P$ is the variant of the standard sample mean where the $k$ smallest and $k$ largest values in the sample are discarded for some parameter $k$. In this paper, we look at the finite-sample properties of the trimmed mean as an estimator for the mean of $P$. Assuming finite variance, we prove that the trimmed mean is ``sub-Gaussian'' in the sense of achieving Gaussian-type concentration around the mean. Under slightly stronger assumptions, we show the left and right tails of the trimmed mean satisfy a strong ratio-type approxima","authors_text":"Paulo Orenstein, Roberto I. Oliveira, Zoraida F. Rico","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-07T10:44:34Z","title":"Finite-sample properties of the trimmed mean"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03694","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":"sha256:032e49a77353f14bfe26d3db39ae0e0fb505f2af2af40b2d909225edec73c519","target":"record","created_at":"2026-07-05T09:57:58Z","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":"6eca9afdd837a792bb6359e967aa2d90b95e0f1d110e1f730ab7514225f9a09f","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-07T10:44:34Z","title_canon_sha256":"c8b785b113d705154d4ab5cb03a3a1e4d434c25df9e4b73abeb6b919c2570827"},"schema_version":"1.0","source":{"id":"2501.03694","kind":"arxiv","version":1}},"canonical_sha256":"c93ed096ce328343e0eb3250212bdb05fa403821dfdd83b5b8b64c26271baa86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c93ed096ce328343e0eb3250212bdb05fa403821dfdd83b5b8b64c26271baa86","first_computed_at":"2026-07-05T09:57:58.552883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:58.552883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fMVoRodcsS/Klf66vuVyu+eq93doSGSMYnroqK7eLOWl4Jj/6uYyWN+/Ojl5Nyt/Cgz4iF9HxAUXXJfJwuNfCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:58.553417Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.03694","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:032e49a77353f14bfe26d3db39ae0e0fb505f2af2af40b2d909225edec73c519","sha256:61cc07e32bf087c14862e341692a5599df09fc9dd88f3fcef1608c868f5a9051"],"state_sha256":"e05c715d484b6799f6e3aa27daa5334038640bebc936a639bb0bb4f259b71b9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9whMJUDbbaH0+/l+o7n0CWc52To4GTOmX3a8tQQUqY0vJXVte6HYxFULsy8rUpVW6RSWlihI0YqMCfOFwe5CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:28:34.503648Z","bundle_sha256":"73c5298abaf7e43fe2e3e7be04faae9d922a1a326c36c2b801a38f3efc87f1bf"}}