{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WXATHZNATZHMGCRUOPSO2ISKK7","short_pith_number":"pith:WXATHZNA","canonical_record":{"source":{"id":"1710.06638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-10-18T09:27:49Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"bb3ec35b7403b16ed2f8a9277427d4d63959c9960167343412662a66ad9d2e96","abstract_canon_sha256":"183c76f46955a52d325b5f1094c3fc866c81536c4d91c04b3fe42edf8a201f60"},"schema_version":"1.0"},"canonical_sha256":"b5c133e5a09e4ec30a3473e4ed224a57e15171dfb627700824552ff6372828d5","source":{"kind":"arxiv","id":"1710.06638","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06638","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06638v1","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06638","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"pith_short_12","alias_value":"WXATHZNATZHM","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WXATHZNATZHMGCRU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WXATHZNA","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WXATHZNATZHMGCRUOPSO2ISKK7","target":"record","payload":{"canonical_record":{"source":{"id":"1710.06638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-10-18T09:27:49Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"bb3ec35b7403b16ed2f8a9277427d4d63959c9960167343412662a66ad9d2e96","abstract_canon_sha256":"183c76f46955a52d325b5f1094c3fc866c81536c4d91c04b3fe42edf8a201f60"},"schema_version":"1.0"},"canonical_sha256":"b5c133e5a09e4ec30a3473e4ed224a57e15171dfb627700824552ff6372828d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:33.081207Z","signature_b64":"l9acOohIyoiUb5fSBo6NWtv41kQQvqdGVWj5r0llmWkLfDQmbKjhfNdYo5yUyaoQdluCxIvWiM8+xDyPsd78DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5c133e5a09e4ec30a3473e4ed224a57e15171dfb627700824552ff6372828d5","last_reissued_at":"2026-05-18T00:32:33.080566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:33.080566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.06638","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":"2026-05-18T00:32:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iz9n4VPpIb9yyiBj5UVZHrxa64dTfMMwPi6t1YdMsuRdVTyUOU63j7OUJ388d+cZCCiU5cV+BQcIF91QQxm8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:30:48.471555Z"},"content_sha256":"beb89ee9047ef89d0f63cd5f4cc95b882a6c08093fec24b4fa2b26391c2ffa6d","schema_version":"1.0","event_id":"sha256:beb89ee9047ef89d0f63cd5f4cc95b882a6c08093fec24b4fa2b26391c2ffa6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WXATHZNATZHMGCRUOPSO2ISKK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Empirical regression quantile process with possible application to risk analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jana Jure\\v{c}kov\\'a, Jan Picek, Martin Schindler","submitted_at":"2017-10-18T09:27:49Z","abstract_excerpt":"The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment in the situation when the return depends on some exogenous variables. The processes enable to evaluate the expected $\\alpha$-shortfall ($0\\leq\\alpha\\leq 1$) and other measures of the risk, recently generally accepted in the financial literature, but also help to measure the risk in environment analysis and elsewhere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06638","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":"2026-05-18T00:32:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IW/QrD/WaJ3aj+0JVUsWICIuqqJxs1HSKcwfCHuOUg+xuOThohbP4gJn+MxdnoQT7UjCkP2M0xOiz4ej0vHLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:30:48.471902Z"},"content_sha256":"37042ec78a140a3f57ae2faeeb535ed72b3669cd2099f89f0cb1c9addb429994","schema_version":"1.0","event_id":"sha256:37042ec78a140a3f57ae2faeeb535ed72b3669cd2099f89f0cb1c9addb429994"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXATHZNATZHMGCRUOPSO2ISKK7/bundle.json","state_url":"https://pith.science/pith/WXATHZNATZHMGCRUOPSO2ISKK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXATHZNATZHMGCRUOPSO2ISKK7/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":"2026-06-02T16:30:48Z","links":{"resolver":"https://pith.science/pith/WXATHZNATZHMGCRUOPSO2ISKK7","bundle":"https://pith.science/pith/WXATHZNATZHMGCRUOPSO2ISKK7/bundle.json","state":"https://pith.science/pith/WXATHZNATZHMGCRUOPSO2ISKK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXATHZNATZHMGCRUOPSO2ISKK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WXATHZNATZHMGCRUOPSO2ISKK7","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":"183c76f46955a52d325b5f1094c3fc866c81536c4d91c04b3fe42edf8a201f60","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-10-18T09:27:49Z","title_canon_sha256":"bb3ec35b7403b16ed2f8a9277427d4d63959c9960167343412662a66ad9d2e96"},"schema_version":"1.0","source":{"id":"1710.06638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06638","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06638v1","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06638","created_at":"2026-05-18T00:32:33Z"},{"alias_kind":"pith_short_12","alias_value":"WXATHZNATZHM","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WXATHZNATZHMGCRU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WXATHZNA","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:37042ec78a140a3f57ae2faeeb535ed72b3669cd2099f89f0cb1c9addb429994","target":"graph","created_at":"2026-05-18T00:32:33Z","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":"The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment in the situation when the return depends on some exogenous variables. The processes enable to evaluate the expected $\\alpha$-shortfall ($0\\leq\\alpha\\leq 1$) and other measures of the risk, recently generally accepted in the financial literature, but also help to measure the risk in environment analysis and elsewhere.","authors_text":"Jana Jure\\v{c}kov\\'a, Jan Picek, Martin Schindler","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-10-18T09:27:49Z","title":"Empirical regression quantile process with possible application to risk analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06638","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:beb89ee9047ef89d0f63cd5f4cc95b882a6c08093fec24b4fa2b26391c2ffa6d","target":"record","created_at":"2026-05-18T00:32:33Z","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":"183c76f46955a52d325b5f1094c3fc866c81536c4d91c04b3fe42edf8a201f60","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-10-18T09:27:49Z","title_canon_sha256":"bb3ec35b7403b16ed2f8a9277427d4d63959c9960167343412662a66ad9d2e96"},"schema_version":"1.0","source":{"id":"1710.06638","kind":"arxiv","version":1}},"canonical_sha256":"b5c133e5a09e4ec30a3473e4ed224a57e15171dfb627700824552ff6372828d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5c133e5a09e4ec30a3473e4ed224a57e15171dfb627700824552ff6372828d5","first_computed_at":"2026-05-18T00:32:33.080566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:33.080566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9acOohIyoiUb5fSBo6NWtv41kQQvqdGVWj5r0llmWkLfDQmbKjhfNdYo5yUyaoQdluCxIvWiM8+xDyPsd78DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:33.081207Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:beb89ee9047ef89d0f63cd5f4cc95b882a6c08093fec24b4fa2b26391c2ffa6d","sha256:37042ec78a140a3f57ae2faeeb535ed72b3669cd2099f89f0cb1c9addb429994"],"state_sha256":"5a223f075c2a7d1352459d24d5e522e0ca28200d9ab582e49cb3cc1c4e03f7dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iUCBqIbiGYQvxiFhfDuOq73OmS8awv5VwHSK8qvPk3u8/Tnnd8pguPwJ/+b4UrHxXfS4b/DDnIgXTGzqiN8SCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:30:48.473788Z","bundle_sha256":"bfbc61065e95980d018041e973cb29d64119965f967487f581baab8981a5754c"}}