{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:UOVLE5GS5BXP5ITIGN7QRTLP2X","short_pith_number":"pith:UOVLE5GS","canonical_record":{"source":{"id":"2301.10423","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-25T06:26:24Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"619da28567ff609feb46d586519c611b77dcbaf47c66cc2925ec92506e7332fd","abstract_canon_sha256":"0409b3c71efd21bcce1dc3ec1a12b091c67968f436ccce8e1c94a47825fca466"},"schema_version":"1.0"},"canonical_sha256":"a3aab274d2e86efea268337f08cd6fd5c444839e6198a9dac8794878fcd3438a","source":{"kind":"arxiv","id":"2301.10423","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10423","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10423v1","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10423","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_12","alias_value":"UOVLE5GS5BXP","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_16","alias_value":"UOVLE5GS5BXP5ITI","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_8","alias_value":"UOVLE5GS","created_at":"2026-06-24T14:15:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:UOVLE5GS5BXP5ITIGN7QRTLP2X","target":"record","payload":{"canonical_record":{"source":{"id":"2301.10423","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-25T06:26:24Z","cross_cats_sorted":["q-fin.RM"],"title_canon_sha256":"619da28567ff609feb46d586519c611b77dcbaf47c66cc2925ec92506e7332fd","abstract_canon_sha256":"0409b3c71efd21bcce1dc3ec1a12b091c67968f436ccce8e1c94a47825fca466"},"schema_version":"1.0"},"canonical_sha256":"a3aab274d2e86efea268337f08cd6fd5c444839e6198a9dac8794878fcd3438a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T14:15:49.053601Z","signature_b64":"1RsYeMKf8SubXzpD4W816ZSaUor65EJG8/clKu/xHM133nXSt8W4QSQ4m210jNtooCaGL5AWpPD3YcyBl6PzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3aab274d2e86efea268337f08cd6fd5c444839e6198a9dac8794878fcd3438a","last_reissued_at":"2026-06-24T14:15:49.052962Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T14:15:49.052962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.10423","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":"2026-06-24T14:15:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZbS7RHJURGBg03XhWdeE226KrWkGvB/OVRCBfMvfFJPVuaJVJzcVxmmEjq4OCX4GZhXcPOvoFKjbkiXojwDUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:06:20.084031Z"},"content_sha256":"9e9c9aad896a79d2c3f173a16df076dd14742e65a21adafd682b8bb2139045e6","schema_version":"1.0","event_id":"sha256:9e9c9aad896a79d2c3f173a16df076dd14742e65a21adafd682b8bb2139045e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:UOVLE5GS5BXP5ITIGN7QRTLP2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aggregating heavy-tailed random vectors: from finite sums to L\\'evy processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["q-fin.RM"],"primary_cat":"math.PR","authors_text":"Bikramjit Das, Vicky Fasen-Hartmann","submitted_at":"2023-01-25T06:26:24Z","abstract_excerpt":"The tail behavior of aggregates of heavy-tailed random vectors is known to be determined by the so-called principle of \"one large jump'', be it for finite sums, random sums, or, L\\'evy processes. We establish that, in fact, a more general principle is at play. Assuming that the random vectors are multivariate regularly varying on various subcones of the positive quadrant, first we show that their aggregates are also multivariate regularly varying on these subcones. This allows us to approximate certain tail probabilities which were rendered asymptotically negligible under classical regular var"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10423","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.10423/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-24T14:15:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qvm9usalW1VRTcAz4qPKvU5z3Br/I+dioi4VFO6kOMkod5B6KjvLfdhfv0MAkRelokD+VvVFa2sTJnShHzdvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:06:20.084435Z"},"content_sha256":"5ab4eab88b6772a0b5c926e34d42d5898f81ec23b578061f80222f1c134d1a5d","schema_version":"1.0","event_id":"sha256:5ab4eab88b6772a0b5c926e34d42d5898f81ec23b578061f80222f1c134d1a5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/bundle.json","state_url":"https://pith.science/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/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":"2026-06-26T09:06:20Z","links":{"resolver":"https://pith.science/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X","bundle":"https://pith.science/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/bundle.json","state":"https://pith.science/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOVLE5GS5BXP5ITIGN7QRTLP2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UOVLE5GS5BXP5ITIGN7QRTLP2X","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":"0409b3c71efd21bcce1dc3ec1a12b091c67968f436ccce8e1c94a47825fca466","cross_cats_sorted":["q-fin.RM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-25T06:26:24Z","title_canon_sha256":"619da28567ff609feb46d586519c611b77dcbaf47c66cc2925ec92506e7332fd"},"schema_version":"1.0","source":{"id":"2301.10423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10423","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10423v1","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10423","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_12","alias_value":"UOVLE5GS5BXP","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_16","alias_value":"UOVLE5GS5BXP5ITI","created_at":"2026-06-24T14:15:49Z"},{"alias_kind":"pith_short_8","alias_value":"UOVLE5GS","created_at":"2026-06-24T14:15:49Z"}],"graph_snapshots":[{"event_id":"sha256:5ab4eab88b6772a0b5c926e34d42d5898f81ec23b578061f80222f1c134d1a5d","target":"graph","created_at":"2026-06-24T14:15:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.10423/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The tail behavior of aggregates of heavy-tailed random vectors is known to be determined by the so-called principle of \"one large jump'', be it for finite sums, random sums, or, L\\'evy processes. We establish that, in fact, a more general principle is at play. Assuming that the random vectors are multivariate regularly varying on various subcones of the positive quadrant, first we show that their aggregates are also multivariate regularly varying on these subcones. This allows us to approximate certain tail probabilities which were rendered asymptotically negligible under classical regular var","authors_text":"Bikramjit Das, Vicky Fasen-Hartmann","cross_cats":["q-fin.RM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-25T06:26:24Z","title":"Aggregating heavy-tailed random vectors: from finite sums to L\\'evy processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10423","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":"sha256:9e9c9aad896a79d2c3f173a16df076dd14742e65a21adafd682b8bb2139045e6","target":"record","created_at":"2026-06-24T14:15:49Z","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":"0409b3c71efd21bcce1dc3ec1a12b091c67968f436ccce8e1c94a47825fca466","cross_cats_sorted":["q-fin.RM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-01-25T06:26:24Z","title_canon_sha256":"619da28567ff609feb46d586519c611b77dcbaf47c66cc2925ec92506e7332fd"},"schema_version":"1.0","source":{"id":"2301.10423","kind":"arxiv","version":1}},"canonical_sha256":"a3aab274d2e86efea268337f08cd6fd5c444839e6198a9dac8794878fcd3438a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3aab274d2e86efea268337f08cd6fd5c444839e6198a9dac8794878fcd3438a","first_computed_at":"2026-06-24T14:15:49.052962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T14:15:49.052962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1RsYeMKf8SubXzpD4W816ZSaUor65EJG8/clKu/xHM133nXSt8W4QSQ4m210jNtooCaGL5AWpPD3YcyBl6PzBQ==","signature_status":"signed_v1","signed_at":"2026-06-24T14:15:49.053601Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.10423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e9c9aad896a79d2c3f173a16df076dd14742e65a21adafd682b8bb2139045e6","sha256:5ab4eab88b6772a0b5c926e34d42d5898f81ec23b578061f80222f1c134d1a5d"],"state_sha256":"dad924525974869e5697dcaba76fa292e5c898dbc9fa2d46cc7cc8c9fc382abb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nx9AgJJLtP9Cbbyvl3pRl/kvDqjUXAHkvodwvh/SJ3N05v65ucJiJuFE2qfeFvsFtYGSvzo1XW5aRddpTrsIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:06:20.086768Z","bundle_sha256":"019880d5ab325f253d35fbba375afc684a8acb175d19a57af8207b68833d5c12"}}