{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2HU2SSY2S27FW6UYJK5VFJL5RH","short_pith_number":"pith:2HU2SSY2","canonical_record":{"source":{"id":"2607.24890","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-07-27T13:52:38Z","cross_cats_sorted":["cs.IT","math.IT","stat.TH"],"title_canon_sha256":"504f295257889cfc85d743c47ffe430b9ac00588bc86f8af64e5a56ecee19fce","abstract_canon_sha256":"7a887881be7e964ea895d5872b46827b83e12679b242222dee1657e1351c1718"},"schema_version":"1.0"},"canonical_sha256":"d1e9a94b1a96be5b7a984abb52a57d89d257629c0b3a66030794c4e3fc87c962","source":{"kind":"arxiv","id":"2607.24890","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24890","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24890v1","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24890","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_12","alias_value":"2HU2SSY2S27F","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_16","alias_value":"2HU2SSY2S27FW6UY","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_8","alias_value":"2HU2SSY2","created_at":"2026-07-29T00:24:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2HU2SSY2S27FW6UYJK5VFJL5RH","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24890","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-07-27T13:52:38Z","cross_cats_sorted":["cs.IT","math.IT","stat.TH"],"title_canon_sha256":"504f295257889cfc85d743c47ffe430b9ac00588bc86f8af64e5a56ecee19fce","abstract_canon_sha256":"7a887881be7e964ea895d5872b46827b83e12679b242222dee1657e1351c1718"},"schema_version":"1.0"},"canonical_sha256":"d1e9a94b1a96be5b7a984abb52a57d89d257629c0b3a66030794c4e3fc87c962","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:24:50.133951Z","signature_b64":"6IeXKpc+/zioCpnaufefa4Ea/1tdEEF7BJnL9qmq2UrusUft/v6Du4HOqPUC5fDQ8d+HB3XTAi98nQ9CL7WFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1e9a94b1a96be5b7a984abb52a57d89d257629c0b3a66030794c4e3fc87c962","last_reissued_at":"2026-07-29T00:24:50.133069Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:24:50.133069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24890","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":"2026-07-29T00:24:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zzS2kNTgmNI3dnbbVnSanxxlKrGxpZlY1kpz33L/kVesaKZzOorvmyFOcQk+ZdgtJHxGD6v0nbk6/jc/RlKnBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:16:47.703337Z"},"content_sha256":"b7937d18d72e22aab99a0a3d95425e6b11eb0fea8826eac31fde531b0a03737b","schema_version":"1.0","event_id":"sha256:b7937d18d72e22aab99a0a3d95425e6b11eb0fea8826eac31fde531b0a03737b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2HU2SSY2S27FW6UYJK5VFJL5RH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A New Look at the Classical Estimation Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT","stat.TH"],"primary_cat":"math.ST","authors_text":"Paul W. Vos","submitted_at":"2026-07-27T13:52:38Z","abstract_excerpt":"Bahadur's \\emph{Lectures on the Theory of Estimation} develop the classical theory of point estimation inside the geometry of Hilbert space, and they record with unusual honesty where the theory strains: the locally best unbiased estimate depends on the parameter, a two-point parameter space yields an estimate Bahadur calls absurd, the odds ratio in binomial sampling has no unbiased estimate, and the virtues of maximum likelihood enter as heuristics and remain heuristics. We present a subset of the lectures, in Bahadur's notation and development, and at each strain make one small modification:"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24890","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/2607.24890/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":"2026-07-29T00:24:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VkBMHFl8absLxZHqjx248X1a4z2n/s5Su/0aYhKiIFey/DcebnZEMPIdat2FpTeV2ceaOK+exsIiJ8CMJg2sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:16:47.704027Z"},"content_sha256":"3a78a4633785bc28c6f62a39aa0427d74afa24726abd5b49bbd505ef32c623b9","schema_version":"1.0","event_id":"sha256:3a78a4633785bc28c6f62a39aa0427d74afa24726abd5b49bbd505ef32c623b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/bundle.json","state_url":"https://pith.science/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/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":"2026-08-05T15:16:47Z","links":{"resolver":"https://pith.science/pith/2HU2SSY2S27FW6UYJK5VFJL5RH","bundle":"https://pith.science/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/bundle.json","state":"https://pith.science/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HU2SSY2S27FW6UYJK5VFJL5RH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2HU2SSY2S27FW6UYJK5VFJL5RH","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":"7a887881be7e964ea895d5872b46827b83e12679b242222dee1657e1351c1718","cross_cats_sorted":["cs.IT","math.IT","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-07-27T13:52:38Z","title_canon_sha256":"504f295257889cfc85d743c47ffe430b9ac00588bc86f8af64e5a56ecee19fce"},"schema_version":"1.0","source":{"id":"2607.24890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24890","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24890v1","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24890","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_12","alias_value":"2HU2SSY2S27F","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_16","alias_value":"2HU2SSY2S27FW6UY","created_at":"2026-07-29T00:24:50Z"},{"alias_kind":"pith_short_8","alias_value":"2HU2SSY2","created_at":"2026-07-29T00:24:50Z"}],"graph_snapshots":[{"event_id":"sha256:3a78a4633785bc28c6f62a39aa0427d74afa24726abd5b49bbd505ef32c623b9","target":"graph","created_at":"2026-07-29T00:24:50Z","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/2607.24890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bahadur's \\emph{Lectures on the Theory of Estimation} develop the classical theory of point estimation inside the geometry of Hilbert space, and they record with unusual honesty where the theory strains: the locally best unbiased estimate depends on the parameter, a two-point parameter space yields an estimate Bahadur calls absurd, the odds ratio in binomial sampling has no unbiased estimate, and the virtues of maximum likelihood enter as heuristics and remain heuristics. We present a subset of the lectures, in Bahadur's notation and development, and at each strain make one small modification:","authors_text":"Paul W. Vos","cross_cats":["cs.IT","math.IT","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-07-27T13:52:38Z","title":"A New Look at the Classical Estimation Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24890","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:b7937d18d72e22aab99a0a3d95425e6b11eb0fea8826eac31fde531b0a03737b","target":"record","created_at":"2026-07-29T00:24:50Z","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":"7a887881be7e964ea895d5872b46827b83e12679b242222dee1657e1351c1718","cross_cats_sorted":["cs.IT","math.IT","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2026-07-27T13:52:38Z","title_canon_sha256":"504f295257889cfc85d743c47ffe430b9ac00588bc86f8af64e5a56ecee19fce"},"schema_version":"1.0","source":{"id":"2607.24890","kind":"arxiv","version":1}},"canonical_sha256":"d1e9a94b1a96be5b7a984abb52a57d89d257629c0b3a66030794c4e3fc87c962","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1e9a94b1a96be5b7a984abb52a57d89d257629c0b3a66030794c4e3fc87c962","first_computed_at":"2026-07-29T00:24:50.133069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T00:24:50.133069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IeXKpc+/zioCpnaufefa4Ea/1tdEEF7BJnL9qmq2UrusUft/v6Du4HOqPUC5fDQ8d+HB3XTAi98nQ9CL7WFDw==","signature_status":"signed_v1","signed_at":"2026-07-29T00:24:50.133951Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7937d18d72e22aab99a0a3d95425e6b11eb0fea8826eac31fde531b0a03737b","sha256:3a78a4633785bc28c6f62a39aa0427d74afa24726abd5b49bbd505ef32c623b9"],"state_sha256":"64bd6cafe7f384d0c1db14d8cc6783bd9bc64925d2db2c0b628b92324ec6f468"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJQb/HKauLRCUDLNKCUk227lP1Iu0Do7wrb/vhHnPWcpCQlBt1Gk65MloEDNCva9PTmAJt+5uv+CidMcbLhCDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T15:16:47.743392Z","bundle_sha256":"9c920a6d79142f224cdfddc5f42aefabb086483b6edcf18286cd5a89650bbc37"}}