{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LY5N3BWROKNXSFX74AMF3U2ZYO","short_pith_number":"pith:LY5N3BWR","canonical_record":{"source":{"id":"1612.07408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-22T01:20:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"732a9124109e74f03e5a63f3ecfda758f7634bd8a1671aebbcb881315f25de0c","abstract_canon_sha256":"7aa8091feb6300ac20a70266bc54293508d74dbe9e3dafcb09239158bf29975b"},"schema_version":"1.0"},"canonical_sha256":"5e3add86d1729b7916ffe0185dd359c38d4dc11bdb4745bb2f366bb85f5b5df9","source":{"kind":"arxiv","id":"1612.07408","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07408","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07408v1","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07408","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"LY5N3BWROKNX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LY5N3BWROKNXSFX7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LY5N3BWR","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LY5N3BWROKNXSFX74AMF3U2ZYO","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-22T01:20:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"732a9124109e74f03e5a63f3ecfda758f7634bd8a1671aebbcb881315f25de0c","abstract_canon_sha256":"7aa8091feb6300ac20a70266bc54293508d74dbe9e3dafcb09239158bf29975b"},"schema_version":"1.0"},"canonical_sha256":"5e3add86d1729b7916ffe0185dd359c38d4dc11bdb4745bb2f366bb85f5b5df9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:01.384441Z","signature_b64":"jSM2kZ3GkA1SIPKajgn0XppIstaN4iSA4P1oGi/ktq2KMgMsiSqn982LgyDK/MS61Rvz56wq00pOM3fnYzT8AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e3add86d1729b7916ffe0185dd359c38d4dc11bdb4745bb2f366bb85f5b5df9","last_reissued_at":"2026-05-18T00:14:01.383961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:01.383961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07408","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":"2026-05-18T00:14:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oqwZxC009zdRTfB/2W5bovxx7pOndIwQ7wilvHk+SCS2suyHsfeW+OpMLYw7lFd+vqqJoLTJZ3lCOE2OHNhaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:39:41.582168Z"},"content_sha256":"957cdce988e69a5e66e83cb86c3545221549dfb96652605845789cd55dff4119","schema_version":"1.0","event_id":"sha256:957cdce988e69a5e66e83cb86c3545221549dfb96652605845789cd55dff4119"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LY5N3BWROKNXSFX74AMF3U2ZYO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical Distances and Their Role in Robustness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Bruce G. Lindsay, Georgios Afendras, Marianthi Markatou, Yang Chen","submitted_at":"2016-12-22T01:20:27Z","abstract_excerpt":"Statistical distances, divergences, and similar quantities have a large history and play a fundamental role in statistics, machine learning and associated scientific disciplines. However, within the statistical literature, this extensive role has too often been played out behind the scenes, with other aspects of the statistical problems being viewed as more central, more interesting, or more important. The behind the scenes role of statistical distances shows up in estimation, where we often use estimators based on minimizing a distance, explicitly or implicitly, but rarely studying how the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07408","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":""},"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":"2026-05-18T00:14:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmP7SESdCYrzsd/+ynmvSwetietOel916yEn5/Y/RVoVlGCacY0rLM7GV/uwToQ0chc8CZ5ljyHXcWwkq28GCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:39:41.582521Z"},"content_sha256":"2734f0aff7334ea8880c1d2b5e9596a9a44e41fbc9f9f7a7bd44340b3d94094c","schema_version":"1.0","event_id":"sha256:2734f0aff7334ea8880c1d2b5e9596a9a44e41fbc9f9f7a7bd44340b3d94094c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/bundle.json","state_url":"https://pith.science/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/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":"2026-06-24T05:39:41Z","links":{"resolver":"https://pith.science/pith/LY5N3BWROKNXSFX74AMF3U2ZYO","bundle":"https://pith.science/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/bundle.json","state":"https://pith.science/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LY5N3BWROKNXSFX74AMF3U2ZYO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LY5N3BWROKNXSFX74AMF3U2ZYO","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":"7aa8091feb6300ac20a70266bc54293508d74dbe9e3dafcb09239158bf29975b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-22T01:20:27Z","title_canon_sha256":"732a9124109e74f03e5a63f3ecfda758f7634bd8a1671aebbcb881315f25de0c"},"schema_version":"1.0","source":{"id":"1612.07408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07408","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07408v1","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07408","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"LY5N3BWROKNX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LY5N3BWROKNXSFX7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LY5N3BWR","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:2734f0aff7334ea8880c1d2b5e9596a9a44e41fbc9f9f7a7bd44340b3d94094c","target":"graph","created_at":"2026-05-18T00:14:01Z","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 distances, divergences, and similar quantities have a large history and play a fundamental role in statistics, machine learning and associated scientific disciplines. However, within the statistical literature, this extensive role has too often been played out behind the scenes, with other aspects of the statistical problems being viewed as more central, more interesting, or more important. The behind the scenes role of statistical distances shows up in estimation, where we often use estimators based on minimizing a distance, explicitly or implicitly, but rarely studying how the pr","authors_text":"Bruce G. Lindsay, Georgios Afendras, Marianthi Markatou, Yang Chen","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-22T01:20:27Z","title":"Statistical Distances and Their Role in Robustness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07408","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":"sha256:957cdce988e69a5e66e83cb86c3545221549dfb96652605845789cd55dff4119","target":"record","created_at":"2026-05-18T00:14:01Z","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":"7aa8091feb6300ac20a70266bc54293508d74dbe9e3dafcb09239158bf29975b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-22T01:20:27Z","title_canon_sha256":"732a9124109e74f03e5a63f3ecfda758f7634bd8a1671aebbcb881315f25de0c"},"schema_version":"1.0","source":{"id":"1612.07408","kind":"arxiv","version":1}},"canonical_sha256":"5e3add86d1729b7916ffe0185dd359c38d4dc11bdb4745bb2f366bb85f5b5df9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e3add86d1729b7916ffe0185dd359c38d4dc11bdb4745bb2f366bb85f5b5df9","first_computed_at":"2026-05-18T00:14:01.383961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:01.383961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jSM2kZ3GkA1SIPKajgn0XppIstaN4iSA4P1oGi/ktq2KMgMsiSqn982LgyDK/MS61Rvz56wq00pOM3fnYzT8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:01.384441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:957cdce988e69a5e66e83cb86c3545221549dfb96652605845789cd55dff4119","sha256:2734f0aff7334ea8880c1d2b5e9596a9a44e41fbc9f9f7a7bd44340b3d94094c"],"state_sha256":"a3d93f1dbf7200819fa7d4e73051ddf42ad6d73cb1c89ab8c70a019ad7413eca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WluthBQ0TEyy9H6gx8deRxdKnHBa0xpkm7m4VxKs0Abw3nKY80TgBsWJpud2EafgwG3SR7xbrhN6qsv7Y+O4DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:39:41.584578Z","bundle_sha256":"8b760a30dddb3e98e0f1b8577672b0d6750e1572c2d121b5e5f6bb77d3d0fda1"}}