{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JXZZBYNBGANBY3ZARQ6DTSPP7C","short_pith_number":"pith:JXZZBYNB","canonical_record":{"source":{"id":"1502.00812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-03T11:18:40Z","cross_cats_sorted":[],"title_canon_sha256":"dc3174ba35688ec58fd243acdc49bffb1cae5030962786c77838a33f0edf0842","abstract_canon_sha256":"fc8a2cb33cc22971cab3319d50ce5a8035704c31fe782f54513df193d9c007b4"},"schema_version":"1.0"},"canonical_sha256":"4df390e1a1301a1c6f208c3c39c9eff88e523eeb619a9c43f64e50a263fc3424","source":{"kind":"arxiv","id":"1502.00812","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00812","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00812v1","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00812","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"JXZZBYNBGANB","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JXZZBYNBGANBY3ZA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JXZZBYNB","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JXZZBYNBGANBY3ZARQ6DTSPP7C","target":"record","payload":{"canonical_record":{"source":{"id":"1502.00812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-03T11:18:40Z","cross_cats_sorted":[],"title_canon_sha256":"dc3174ba35688ec58fd243acdc49bffb1cae5030962786c77838a33f0edf0842","abstract_canon_sha256":"fc8a2cb33cc22971cab3319d50ce5a8035704c31fe782f54513df193d9c007b4"},"schema_version":"1.0"},"canonical_sha256":"4df390e1a1301a1c6f208c3c39c9eff88e523eeb619a9c43f64e50a263fc3424","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:04.229130Z","signature_b64":"EJxdEsPmretVE+3rHRth/nikqFUe3+9XgqslUS2uRYhkoehKLfwmVhX7Pxo1Bjaw0AgqwXPtHdEXTeTadjfOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4df390e1a1301a1c6f208c3c39c9eff88e523eeb619a9c43f64e50a263fc3424","last_reissued_at":"2026-05-18T02:28:04.228715Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:04.228715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.00812","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":"2026-05-18T02:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gAOvy+zs/0szB+rGwSTPZvCaC3MQuXCCBd9Ci9GNE5QIsnNOhYFcZ2tVyLJ+bEj3uzSTVt2150VOzbo85CwkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:19:54.347545Z"},"content_sha256":"53c202c6310a7cb1d7b1fb67a52b593d7a6cd83bb7a36a403edbabd3bb48020b","schema_version":"1.0","event_id":"sha256:53c202c6310a7cb1d7b1fb67a52b593d7a6cd83bb7a36a403edbabd3bb48020b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JXZZBYNBGANBY3ZARQ6DTSPP7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher Order Tangent Spaces and Influence Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Aad van der Vaart","submitted_at":"2015-02-03T11:18:40Z","abstract_excerpt":"We review higher order tangent spaces and influence functions and their use to construct minimax efficient estimators for parameters in high-dimensional semiparametric models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00812","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":"2026-05-18T02:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7m1goKq3wE9ydkcZYHIOWUsrHqPu3UT5LIIclIZTvZmcz2L3I3UnidieM0KQZ2OkNHJOYvqf2n6joACXbX6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:19:54.347902Z"},"content_sha256":"975b186b5fdefc5ef590f83c7fb8ff5f0bc25c2f4cb773e815ad6773b70a4e61","schema_version":"1.0","event_id":"sha256:975b186b5fdefc5ef590f83c7fb8ff5f0bc25c2f4cb773e815ad6773b70a4e61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/bundle.json","state_url":"https://pith.science/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/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":"2026-05-31T18:19:54Z","links":{"resolver":"https://pith.science/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C","bundle":"https://pith.science/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/bundle.json","state":"https://pith.science/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXZZBYNBGANBY3ZARQ6DTSPP7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JXZZBYNBGANBY3ZARQ6DTSPP7C","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":"fc8a2cb33cc22971cab3319d50ce5a8035704c31fe782f54513df193d9c007b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-03T11:18:40Z","title_canon_sha256":"dc3174ba35688ec58fd243acdc49bffb1cae5030962786c77838a33f0edf0842"},"schema_version":"1.0","source":{"id":"1502.00812","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00812","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00812v1","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00812","created_at":"2026-05-18T02:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"JXZZBYNBGANB","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JXZZBYNBGANBY3ZA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JXZZBYNB","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:975b186b5fdefc5ef590f83c7fb8ff5f0bc25c2f4cb773e815ad6773b70a4e61","target":"graph","created_at":"2026-05-18T02:28:04Z","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":"We review higher order tangent spaces and influence functions and their use to construct minimax efficient estimators for parameters in high-dimensional semiparametric models.","authors_text":"Aad van der Vaart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-03T11:18:40Z","title":"Higher Order Tangent Spaces and Influence Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00812","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":"sha256:53c202c6310a7cb1d7b1fb67a52b593d7a6cd83bb7a36a403edbabd3bb48020b","target":"record","created_at":"2026-05-18T02:28:04Z","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":"fc8a2cb33cc22971cab3319d50ce5a8035704c31fe782f54513df193d9c007b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-02-03T11:18:40Z","title_canon_sha256":"dc3174ba35688ec58fd243acdc49bffb1cae5030962786c77838a33f0edf0842"},"schema_version":"1.0","source":{"id":"1502.00812","kind":"arxiv","version":1}},"canonical_sha256":"4df390e1a1301a1c6f208c3c39c9eff88e523eeb619a9c43f64e50a263fc3424","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4df390e1a1301a1c6f208c3c39c9eff88e523eeb619a9c43f64e50a263fc3424","first_computed_at":"2026-05-18T02:28:04.228715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:04.228715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EJxdEsPmretVE+3rHRth/nikqFUe3+9XgqslUS2uRYhkoehKLfwmVhX7Pxo1Bjaw0AgqwXPtHdEXTeTadjfOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:04.229130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00812","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53c202c6310a7cb1d7b1fb67a52b593d7a6cd83bb7a36a403edbabd3bb48020b","sha256:975b186b5fdefc5ef590f83c7fb8ff5f0bc25c2f4cb773e815ad6773b70a4e61"],"state_sha256":"31dd5b70d8d12b4839ba2dd55ebc086527a0c7438bdb33f855d3640f62c1defa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNdhze25MUzTwsS6V5VY6yEbG09raHfeeNCu/LHYtj8iw1aERgEgmNUhAubSgpB7+XBFv9GVlluIvL83cxVhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:19:54.350048Z","bundle_sha256":"b613ea005ebfa144f4fc6fa10acd4ac5592445610cab0082dd1b46b6d10136b8"}}