{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:RNT43NXFRI4YL6FBOFJGL54MAM","short_pith_number":"pith:RNT43NXF","canonical_record":{"source":{"id":"2507.08811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-06-26T00:10:31Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"6890a5e80fc171fe576e3901a2a8efacb824cf9ed7128ad8277bba3b34d17d7d","abstract_canon_sha256":"975cb85ae8c13042b527c046a64d36edae159b1d46c6a2797891d3f65c4d6ec0"},"schema_version":"1.0"},"canonical_sha256":"8b67cdb6e58a3985f8a1715265f78c0336d0580953fec82660a9429c7549c848","source":{"kind":"arxiv","id":"2507.08811","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.08811","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"arxiv_version","alias_value":"2507.08811v1","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.08811","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_12","alias_value":"RNT43NXFRI4Y","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_16","alias_value":"RNT43NXFRI4YL6FB","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_8","alias_value":"RNT43NXF","created_at":"2026-07-05T11:35:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:RNT43NXFRI4YL6FBOFJGL54MAM","target":"record","payload":{"canonical_record":{"source":{"id":"2507.08811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-06-26T00:10:31Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"6890a5e80fc171fe576e3901a2a8efacb824cf9ed7128ad8277bba3b34d17d7d","abstract_canon_sha256":"975cb85ae8c13042b527c046a64d36edae159b1d46c6a2797891d3f65c4d6ec0"},"schema_version":"1.0"},"canonical_sha256":"8b67cdb6e58a3985f8a1715265f78c0336d0580953fec82660a9429c7549c848","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:35:58.508724Z","signature_b64":"HVv3Lt7KPbNXbb9D+2Wqry2OaR449PKW8AdDyWEiUhkTeOarzNfw3zHpd340pYfFnUrgFihvGtz2mo6Tro9yAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b67cdb6e58a3985f8a1715265f78c0336d0580953fec82660a9429c7549c848","last_reissued_at":"2026-07-05T11:35:58.508254Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:35:58.508254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.08811","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":"2026-07-05T11:35:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZGoM1w7J6TUB7QUnrRITIRUyiX655Uh4sCpS3SLEKaMbCR+J9+1rJbHPzf5QXDqKzhVMrmxenphHvvj2Um9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:48:22.218361Z"},"content_sha256":"381a1ec000d91a296bece848538347c78b08e42bd6d2da33eddb5710c9c08613","schema_version":"1.0","event_id":"sha256:381a1ec000d91a296bece848538347c78b08e42bd6d2da33eddb5710c9c08613"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:RNT43NXFRI4YL6FBOFJGL54MAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal estimators for threshold-based quality measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Aaron Abrams, Eric Zaslow, Henry Landau, James Pommersheim, Sandy Ganzell, Zeph Landau","submitted_at":"2025-06-26T00:10:31Z","abstract_excerpt":"We consider a problem in parametric estimation: given $n$ samples from an unknown distribution, we want to estimate which distribution, from a given one-parameter family, produced the data. Following Schulman and Vazirani, we evaluate an estimator in terms of the chance of being within a specified tolerance of the correct answer, in the worst case. We provide optimal estimators for several families of distributions on $\\mathbb{R}$. We prove that for distributions on a compact space, there is always an optimal estimator that is translation-invariant, and we conjecture that this conclusion also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.08811","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/2507.08811/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":"2026-07-05T11:35:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EZOc7bCxx1mLo4Xy1XAWjffY0XSv668z/zLBh5xAITTW8nc4YxjRTZZaG/jRs3LxBYt34Rfaa5TLax+fY3/PBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:48:22.218731Z"},"content_sha256":"419bb1ef726fa1593fa47362bc459a90367321da14a086aa398c365c9bd1cfb1","schema_version":"1.0","event_id":"sha256:419bb1ef726fa1593fa47362bc459a90367321da14a086aa398c365c9bd1cfb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RNT43NXFRI4YL6FBOFJGL54MAM/bundle.json","state_url":"https://pith.science/pith/RNT43NXFRI4YL6FBOFJGL54MAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RNT43NXFRI4YL6FBOFJGL54MAM/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":"2026-07-06T20:48:22Z","links":{"resolver":"https://pith.science/pith/RNT43NXFRI4YL6FBOFJGL54MAM","bundle":"https://pith.science/pith/RNT43NXFRI4YL6FBOFJGL54MAM/bundle.json","state":"https://pith.science/pith/RNT43NXFRI4YL6FBOFJGL54MAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RNT43NXFRI4YL6FBOFJGL54MAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RNT43NXFRI4YL6FBOFJGL54MAM","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":"975cb85ae8c13042b527c046a64d36edae159b1d46c6a2797891d3f65c4d6ec0","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-06-26T00:10:31Z","title_canon_sha256":"6890a5e80fc171fe576e3901a2a8efacb824cf9ed7128ad8277bba3b34d17d7d"},"schema_version":"1.0","source":{"id":"2507.08811","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.08811","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"arxiv_version","alias_value":"2507.08811v1","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.08811","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_12","alias_value":"RNT43NXFRI4Y","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_16","alias_value":"RNT43NXFRI4YL6FB","created_at":"2026-07-05T11:35:58Z"},{"alias_kind":"pith_short_8","alias_value":"RNT43NXF","created_at":"2026-07-05T11:35:58Z"}],"graph_snapshots":[{"event_id":"sha256:419bb1ef726fa1593fa47362bc459a90367321da14a086aa398c365c9bd1cfb1","target":"graph","created_at":"2026-07-05T11:35:58Z","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/2507.08811/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a problem in parametric estimation: given $n$ samples from an unknown distribution, we want to estimate which distribution, from a given one-parameter family, produced the data. Following Schulman and Vazirani, we evaluate an estimator in terms of the chance of being within a specified tolerance of the correct answer, in the worst case. We provide optimal estimators for several families of distributions on $\\mathbb{R}$. We prove that for distributions on a compact space, there is always an optimal estimator that is translation-invariant, and we conjecture that this conclusion also ","authors_text":"Aaron Abrams, Eric Zaslow, Henry Landau, James Pommersheim, Sandy Ganzell, Zeph Landau","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-06-26T00:10:31Z","title":"Optimal estimators for threshold-based quality measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.08811","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":"sha256:381a1ec000d91a296bece848538347c78b08e42bd6d2da33eddb5710c9c08613","target":"record","created_at":"2026-07-05T11:35:58Z","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":"975cb85ae8c13042b527c046a64d36edae159b1d46c6a2797891d3f65c4d6ec0","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-06-26T00:10:31Z","title_canon_sha256":"6890a5e80fc171fe576e3901a2a8efacb824cf9ed7128ad8277bba3b34d17d7d"},"schema_version":"1.0","source":{"id":"2507.08811","kind":"arxiv","version":1}},"canonical_sha256":"8b67cdb6e58a3985f8a1715265f78c0336d0580953fec82660a9429c7549c848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b67cdb6e58a3985f8a1715265f78c0336d0580953fec82660a9429c7549c848","first_computed_at":"2026-07-05T11:35:58.508254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:58.508254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HVv3Lt7KPbNXbb9D+2Wqry2OaR449PKW8AdDyWEiUhkTeOarzNfw3zHpd340pYfFnUrgFihvGtz2mo6Tro9yAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:58.508724Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.08811","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:381a1ec000d91a296bece848538347c78b08e42bd6d2da33eddb5710c9c08613","sha256:419bb1ef726fa1593fa47362bc459a90367321da14a086aa398c365c9bd1cfb1"],"state_sha256":"3782bb7c98b2235e97c97a5d22ca47cfa13b3d35635313670ce1703ccbe81d64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fEtsZa6HPwCFIkvjaRP4UmAM0vypRV7peKMrB4dpbPlMQuFC/FPFVyIeqpY331jg46unVB+Pqh2+YcJyKz2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:48:22.220567Z","bundle_sha256":"383fc79a519713903dd22f991f885762a7d9d8a4b85ed006872dd1fb4c41d828"}}