{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KA27MLK35BYLVC6SUHTGH7HSZF","short_pith_number":"pith:KA27MLK3","canonical_record":{"source":{"id":"1405.6693","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T19:36:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d1138b7e59b1c80154b2363ff60964af590b84d19c34c5b43ae00b382369206a","abstract_canon_sha256":"47184bb26a4627684815971cac00c71421ef05f324748d51868e7f8c45014402"},"schema_version":"1.0"},"canonical_sha256":"5035f62d5be870ba8bd2a1e663fcf2c94c0b6f85c4f516efc5b2ad42b9eddf7a","source":{"kind":"arxiv","id":"1405.6693","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6693","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6693v2","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6693","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"KA27MLK35BYL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KA27MLK35BYLVC6S","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KA27MLK3","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KA27MLK35BYLVC6SUHTGH7HSZF","target":"record","payload":{"canonical_record":{"source":{"id":"1405.6693","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T19:36:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d1138b7e59b1c80154b2363ff60964af590b84d19c34c5b43ae00b382369206a","abstract_canon_sha256":"47184bb26a4627684815971cac00c71421ef05f324748d51868e7f8c45014402"},"schema_version":"1.0"},"canonical_sha256":"5035f62d5be870ba8bd2a1e663fcf2c94c0b6f85c4f516efc5b2ad42b9eddf7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:59.580819Z","signature_b64":"/Azue1acQPcT7aba44N9onp8qDA7rQUns6/FYjuiTJRl2iEpo8lNmNaJzzf4RlDnwqR09Hs/t/bn0t398okjBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5035f62d5be870ba8bd2a1e663fcf2c94c0b6f85c4f516efc5b2ad42b9eddf7a","last_reissued_at":"2026-05-18T01:02:59.580149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:59.580149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.6693","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMU8P0JoATdkYY9Ow4olRB7L7ZMPdQDJHeKaK1I9b+czKbJzcWPwdhKEkJW5nneZjnXuFBgjlyK8k+jCgPvyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:35:46.860818Z"},"content_sha256":"d3cbc148515a74368db647003cf7c2967cc0b5ef5d9221757c4d8ac8cb4a0f53","schema_version":"1.0","event_id":"sha256:d3cbc148515a74368db647003cf7c2967cc0b5ef5d9221757c4d8ac8cb4a0f53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KA27MLK35BYLVC6SUHTGH7HSZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Oracle Property and Asymptotic Validity of Bayesian Generalized Method of Moments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cheng Li, Wenxin Jiang","submitted_at":"2014-05-26T19:36:07Z","abstract_excerpt":"Statistical inference based on moment conditions and estimating equations is of substantial interest when it is difficult to specify a full probabilistic model. We propose a Bayesian flavored model selection framework based on (quasi-)posterior probabilities from the Bayesian Generalized Method of Moments (BGMM), which allows us to incorporate two important advantages of a Bayesian approach: the expressiveness of posterior distributions and the convenient computational method of Markov Chain Monte Carlo (MCMC). Theoretically we show that BGMM can achieve the posterior consistency for selecting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6693","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZQAMaVgKzXpR22ah+JUBW+bw94nAAd8LTcw2Mu1yAFrQNe6h+Rgspgfy5HnnG4+Y6x8QwANeibjprLhxmJQQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:35:46.861487Z"},"content_sha256":"9a9762141ac93b7df298ee8b9f27bc422512d1da4c76e6553707b3a828e2bb2e","schema_version":"1.0","event_id":"sha256:9a9762141ac93b7df298ee8b9f27bc422512d1da4c76e6553707b3a828e2bb2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KA27MLK35BYLVC6SUHTGH7HSZF/bundle.json","state_url":"https://pith.science/pith/KA27MLK35BYLVC6SUHTGH7HSZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KA27MLK35BYLVC6SUHTGH7HSZF/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":"2026-06-12T03:35:46Z","links":{"resolver":"https://pith.science/pith/KA27MLK35BYLVC6SUHTGH7HSZF","bundle":"https://pith.science/pith/KA27MLK35BYLVC6SUHTGH7HSZF/bundle.json","state":"https://pith.science/pith/KA27MLK35BYLVC6SUHTGH7HSZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KA27MLK35BYLVC6SUHTGH7HSZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KA27MLK35BYLVC6SUHTGH7HSZF","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":"47184bb26a4627684815971cac00c71421ef05f324748d51868e7f8c45014402","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T19:36:07Z","title_canon_sha256":"d1138b7e59b1c80154b2363ff60964af590b84d19c34c5b43ae00b382369206a"},"schema_version":"1.0","source":{"id":"1405.6693","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6693","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6693v2","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6693","created_at":"2026-05-18T01:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"KA27MLK35BYL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KA27MLK35BYLVC6S","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KA27MLK3","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:9a9762141ac93b7df298ee8b9f27bc422512d1da4c76e6553707b3a828e2bb2e","target":"graph","created_at":"2026-05-18T01:02:59Z","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"},"paper":{"abstract_excerpt":"Statistical inference based on moment conditions and estimating equations is of substantial interest when it is difficult to specify a full probabilistic model. We propose a Bayesian flavored model selection framework based on (quasi-)posterior probabilities from the Bayesian Generalized Method of Moments (BGMM), which allows us to incorporate two important advantages of a Bayesian approach: the expressiveness of posterior distributions and the convenient computational method of Markov Chain Monte Carlo (MCMC). Theoretically we show that BGMM can achieve the posterior consistency for selecting","authors_text":"Cheng Li, Wenxin Jiang","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T19:36:07Z","title":"On Oracle Property and Asymptotic Validity of Bayesian Generalized Method of Moments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6693","kind":"arxiv","version":2},"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:d3cbc148515a74368db647003cf7c2967cc0b5ef5d9221757c4d8ac8cb4a0f53","target":"record","created_at":"2026-05-18T01:02:59Z","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":"47184bb26a4627684815971cac00c71421ef05f324748d51868e7f8c45014402","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-05-26T19:36:07Z","title_canon_sha256":"d1138b7e59b1c80154b2363ff60964af590b84d19c34c5b43ae00b382369206a"},"schema_version":"1.0","source":{"id":"1405.6693","kind":"arxiv","version":2}},"canonical_sha256":"5035f62d5be870ba8bd2a1e663fcf2c94c0b6f85c4f516efc5b2ad42b9eddf7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5035f62d5be870ba8bd2a1e663fcf2c94c0b6f85c4f516efc5b2ad42b9eddf7a","first_computed_at":"2026-05-18T01:02:59.580149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:59.580149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Azue1acQPcT7aba44N9onp8qDA7rQUns6/FYjuiTJRl2iEpo8lNmNaJzzf4RlDnwqR09Hs/t/bn0t398okjBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:59.580819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6693","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3cbc148515a74368db647003cf7c2967cc0b5ef5d9221757c4d8ac8cb4a0f53","sha256:9a9762141ac93b7df298ee8b9f27bc422512d1da4c76e6553707b3a828e2bb2e"],"state_sha256":"cd67aa8556aaef79f99bc0f3e6e432e2f980054a214528980d0935683c4907b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1lYQSWJmiASjQdMuvINJYhL16lzSGp5wx3XJZjn3EXdyDLW9rLUUwCVVHYPt1Xz+3IRyU1ITBOdy7lGPTa16AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:35:46.865031Z","bundle_sha256":"946f2ed0b1723636bf3fee2117e405254448d919ed9032541a663caf5bf64606"}}