{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LMANVCEIODYH5CL3XXB6UO7J6U","short_pith_number":"pith:LMANVCEI","canonical_record":{"source":{"id":"1701.05146","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-18T16:59:55Z","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"title_canon_sha256":"d146f029732d050270c1448f2df29e41144e66a56e8c13841a3c88a0ad3b13f9","abstract_canon_sha256":"a0db5b520a20c19236356beed6c7995babf545b262fadcfc33ba998ae02103d2"},"schema_version":"1.0"},"canonical_sha256":"5b00da888870f07e897bbdc3ea3be9f51d8e2d3612ad13cde68f2ae3e66a5554","source":{"kind":"arxiv","id":"1701.05146","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05146","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05146v3","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05146","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"pith_short_12","alias_value":"LMANVCEIODYH","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LMANVCEIODYH5CL3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LMANVCEI","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LMANVCEIODYH5CL3XXB6UO7J6U","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05146","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-18T16:59:55Z","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"title_canon_sha256":"d146f029732d050270c1448f2df29e41144e66a56e8c13841a3c88a0ad3b13f9","abstract_canon_sha256":"a0db5b520a20c19236356beed6c7995babf545b262fadcfc33ba998ae02103d2"},"schema_version":"1.0"},"canonical_sha256":"5b00da888870f07e897bbdc3ea3be9f51d8e2d3612ad13cde68f2ae3e66a5554","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:36.565553Z","signature_b64":"q7aV0/B+Iz+7aWpgVhSCgbLHwwRbon0RmWIkkUcgK/3l7U9QHpG52IDmOFQUXzeQUrBPbk9RjHAPq+M4OQIrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b00da888870f07e897bbdc3ea3be9f51d8e2d3612ad13cde68f2ae3e66a5554","last_reissued_at":"2026-05-17T23:46:36.564992Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:36.564992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05146","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":"2026-05-17T23:46:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+79/Pmahcg82Zk/iIKi6pjhII94t2JZ2N0DHEcD33DpKYBExNU7w47sr0EeBBGSbUQXS5CZtDgmEK94bzBQ3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:00:10.787555Z"},"content_sha256":"0b2867840e1aa5517601c44ba2c731a9df57843c1676b9b6d769b4aa1db75499","schema_version":"1.0","event_id":"sha256:0b2867840e1aa5517601c44ba2c731a9df57843c1676b9b6d769b4aa1db75499"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LMANVCEIODYH5CL3XXB6UO7J6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On parameter estimation with the Wasserstein distance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.CO","stat.TH"],"primary_cat":"stat.ME","authors_text":"Christian P. Robert (Universit\\'e Paris-Dauphine, Espen Bernton (Harvard University), Mathieu Gerber (University of Bristol), Pierre E. Jacob (Harvard University), PSL, University of Warwick)","submitted_at":"2017-01-18T16:59:55Z","abstract_excerpt":"Statistical inference can be performed by minimizing, over the parameter space, the Wasserstein distance between model distributions and the empirical distribution of the data. We study asymptotic properties of such minimum Wasserstein distance estimators, complementing results derived by Bassetti, Bodini and Regazzini in 2006. In particular, our results cover the misspecified setting, in which the data-generating process is not assumed to be part of the family of distributions described by the model. Our results are motivated by recent applications of minimum Wasserstein estimators to complex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05146","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":""},"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":"2026-05-17T23:46:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MdE258fbQKcnS/fV7PE5WVMUk3CiDM63ccCg3rc1AYBa9yHobMqpi/BDoiR6N6ntzI6Cu/EU0Cr+WDxZiYIFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:00:10.788260Z"},"content_sha256":"82ce08cf5cd7a36b7d46119ea04b548fd41cbecd14fcf5ed39618f6fa479cc67","schema_version":"1.0","event_id":"sha256:82ce08cf5cd7a36b7d46119ea04b548fd41cbecd14fcf5ed39618f6fa479cc67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMANVCEIODYH5CL3XXB6UO7J6U/bundle.json","state_url":"https://pith.science/pith/LMANVCEIODYH5CL3XXB6UO7J6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMANVCEIODYH5CL3XXB6UO7J6U/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":"2026-05-27T01:00:10Z","links":{"resolver":"https://pith.science/pith/LMANVCEIODYH5CL3XXB6UO7J6U","bundle":"https://pith.science/pith/LMANVCEIODYH5CL3XXB6UO7J6U/bundle.json","state":"https://pith.science/pith/LMANVCEIODYH5CL3XXB6UO7J6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMANVCEIODYH5CL3XXB6UO7J6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LMANVCEIODYH5CL3XXB6UO7J6U","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":"a0db5b520a20c19236356beed6c7995babf545b262fadcfc33ba998ae02103d2","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-18T16:59:55Z","title_canon_sha256":"d146f029732d050270c1448f2df29e41144e66a56e8c13841a3c88a0ad3b13f9"},"schema_version":"1.0","source":{"id":"1701.05146","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05146","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05146v3","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05146","created_at":"2026-05-17T23:46:36Z"},{"alias_kind":"pith_short_12","alias_value":"LMANVCEIODYH","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LMANVCEIODYH5CL3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LMANVCEI","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:82ce08cf5cd7a36b7d46119ea04b548fd41cbecd14fcf5ed39618f6fa479cc67","target":"graph","created_at":"2026-05-17T23:46:36Z","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 can be performed by minimizing, over the parameter space, the Wasserstein distance between model distributions and the empirical distribution of the data. We study asymptotic properties of such minimum Wasserstein distance estimators, complementing results derived by Bassetti, Bodini and Regazzini in 2006. In particular, our results cover the misspecified setting, in which the data-generating process is not assumed to be part of the family of distributions described by the model. Our results are motivated by recent applications of minimum Wasserstein estimators to complex","authors_text":"Christian P. Robert (Universit\\'e Paris-Dauphine, Espen Bernton (Harvard University), Mathieu Gerber (University of Bristol), Pierre E. Jacob (Harvard University), PSL, University of Warwick)","cross_cats":["math.ST","stat.CO","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-18T16:59:55Z","title":"On parameter estimation with the Wasserstein distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05146","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":"sha256:0b2867840e1aa5517601c44ba2c731a9df57843c1676b9b6d769b4aa1db75499","target":"record","created_at":"2026-05-17T23:46:36Z","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":"a0db5b520a20c19236356beed6c7995babf545b262fadcfc33ba998ae02103d2","cross_cats_sorted":["math.ST","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-18T16:59:55Z","title_canon_sha256":"d146f029732d050270c1448f2df29e41144e66a56e8c13841a3c88a0ad3b13f9"},"schema_version":"1.0","source":{"id":"1701.05146","kind":"arxiv","version":3}},"canonical_sha256":"5b00da888870f07e897bbdc3ea3be9f51d8e2d3612ad13cde68f2ae3e66a5554","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b00da888870f07e897bbdc3ea3be9f51d8e2d3612ad13cde68f2ae3e66a5554","first_computed_at":"2026-05-17T23:46:36.564992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:36.564992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q7aV0/B+Iz+7aWpgVhSCgbLHwwRbon0RmWIkkUcgK/3l7U9QHpG52IDmOFQUXzeQUrBPbk9RjHAPq+M4OQIrCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:36.565553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05146","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b2867840e1aa5517601c44ba2c731a9df57843c1676b9b6d769b4aa1db75499","sha256:82ce08cf5cd7a36b7d46119ea04b548fd41cbecd14fcf5ed39618f6fa479cc67"],"state_sha256":"7a356d6f9cde193fbd868c778897ad1b084b05cd2bab5f45e2cfea84f59ba55c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9klJAP+vjKgN+8WFGtfiCy9i9v5hjVjOQi7jUTVc7nXDBwLqUzk0w+bf+R9h92MHHKePaDrTlY1nqhaL56T8DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:00:10.792142Z","bundle_sha256":"492d80736ca615e82b816a40fdf5b0899e8a7970007f54a09d20a2d55cf35733"}}