{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JYBWOBYXFS4F3YSUTEVG26SKSG","short_pith_number":"pith:JYBWOBYX","canonical_record":{"source":{"id":"1304.1598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-05T02:10:39Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"34c15c38508ddb080aacd678a8431979e3f33867d079a1da127a5a13762549fc","abstract_canon_sha256":"72c836ab3bd1a719adfacd1c5370acc63dd40f7faa11a2b4058cee83b705d864"},"schema_version":"1.0"},"canonical_sha256":"4e036707172cb85de254992a6d7a4a9195f6a3f8c634fd83838fc3d9101106c0","source":{"kind":"arxiv","id":"1304.1598","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1598","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1598v1","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1598","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"JYBWOBYXFS4F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JYBWOBYXFS4F3YSU","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JYBWOBYX","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JYBWOBYXFS4F3YSUTEVG26SKSG","target":"record","payload":{"canonical_record":{"source":{"id":"1304.1598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-05T02:10:39Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"34c15c38508ddb080aacd678a8431979e3f33867d079a1da127a5a13762549fc","abstract_canon_sha256":"72c836ab3bd1a719adfacd1c5370acc63dd40f7faa11a2b4058cee83b705d864"},"schema_version":"1.0"},"canonical_sha256":"4e036707172cb85de254992a6d7a4a9195f6a3f8c634fd83838fc3d9101106c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:55.298744Z","signature_b64":"IJUBwVKB0jgCOTJRFLnVoiG1vd7hFpxCWU/cH/Xoloa+jqAqf4vrIoelTpoDCPOyJyfI83HkV7e2y8p+FwMCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e036707172cb85de254992a6d7a4a9195f6a3f8c634fd83838fc3d9101106c0","last_reissued_at":"2026-05-18T03:28:55.298092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:55.298092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.1598","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":"2026-05-18T03:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DA6WeEPyPcQeIPUdJ1K379laz5e2BdEvXTqbEc1Y9x/aeVQu3pD3+OipiXSuslyyIYJ425sEWH2O7Prd/VgKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:47:57.303515Z"},"content_sha256":"271c4173ab09cba4e7ff50584b879a209588cf7a44a6fdcee483ae3b230ae32f","schema_version":"1.0","event_id":"sha256:271c4173ab09cba4e7ff50584b879a209588cf7a44a6fdcee483ae3b230ae32f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JYBWOBYXFS4F3YSUTEVG26SKSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A New Distribution-Random Limit Normal Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Shuzhen Yang, Xiaolin Gong","submitted_at":"2013-04-05T02:10:39Z","abstract_excerpt":"This paper introduces a new distribution to improve tail risk modeling. Based on the classical normal distribution, we define a new distribution by a series of heat equations. Then, we use market data to verify our model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1598","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":"2026-05-18T03:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZZjH48DfujqP/vNFm19Ob87TKsMiRXHQAk/Ac69LGFpfJ0AnNBOqWbRxAGv1UBw/GpPQGtMdKwaOmrb3TfVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:47:57.303954Z"},"content_sha256":"de9e1a02aa9672ee924da787cc83cb65da720b25479f9dea32e916110c9a5b85","schema_version":"1.0","event_id":"sha256:de9e1a02aa9672ee924da787cc83cb65da720b25479f9dea32e916110c9a5b85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/bundle.json","state_url":"https://pith.science/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/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":"2026-05-26T08:47:57Z","links":{"resolver":"https://pith.science/pith/JYBWOBYXFS4F3YSUTEVG26SKSG","bundle":"https://pith.science/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/bundle.json","state":"https://pith.science/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JYBWOBYXFS4F3YSUTEVG26SKSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JYBWOBYXFS4F3YSUTEVG26SKSG","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":"72c836ab3bd1a719adfacd1c5370acc63dd40f7faa11a2b4058cee83b705d864","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-05T02:10:39Z","title_canon_sha256":"34c15c38508ddb080aacd678a8431979e3f33867d079a1da127a5a13762549fc"},"schema_version":"1.0","source":{"id":"1304.1598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1598","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1598v1","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1598","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"JYBWOBYXFS4F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JYBWOBYXFS4F3YSU","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JYBWOBYX","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:de9e1a02aa9672ee924da787cc83cb65da720b25479f9dea32e916110c9a5b85","target":"graph","created_at":"2026-05-18T03:28:55Z","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":"This paper introduces a new distribution to improve tail risk modeling. Based on the classical normal distribution, we define a new distribution by a series of heat equations. Then, we use market data to verify our model.","authors_text":"Shuzhen Yang, Xiaolin Gong","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-05T02:10:39Z","title":"A New Distribution-Random Limit Normal Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1598","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":"sha256:271c4173ab09cba4e7ff50584b879a209588cf7a44a6fdcee483ae3b230ae32f","target":"record","created_at":"2026-05-18T03:28:55Z","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":"72c836ab3bd1a719adfacd1c5370acc63dd40f7faa11a2b4058cee83b705d864","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-05T02:10:39Z","title_canon_sha256":"34c15c38508ddb080aacd678a8431979e3f33867d079a1da127a5a13762549fc"},"schema_version":"1.0","source":{"id":"1304.1598","kind":"arxiv","version":1}},"canonical_sha256":"4e036707172cb85de254992a6d7a4a9195f6a3f8c634fd83838fc3d9101106c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e036707172cb85de254992a6d7a4a9195f6a3f8c634fd83838fc3d9101106c0","first_computed_at":"2026-05-18T03:28:55.298092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:55.298092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IJUBwVKB0jgCOTJRFLnVoiG1vd7hFpxCWU/cH/Xoloa+jqAqf4vrIoelTpoDCPOyJyfI83HkV7e2y8p+FwMCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:55.298744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:271c4173ab09cba4e7ff50584b879a209588cf7a44a6fdcee483ae3b230ae32f","sha256:de9e1a02aa9672ee924da787cc83cb65da720b25479f9dea32e916110c9a5b85"],"state_sha256":"590509511bd9fabda1f002ae19db329fdbdd13c6820e718c9680b5e10602ae76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0KVFiOmqBRPZKUfIAaJOnMoiebSq3R74KVrLb+DxgRh6QlzNxzkvffcV1S0R0QTdZG7s90TzdHFJrEvfvYSCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:47:57.307413Z","bundle_sha256":"e5f20bac7567203de92a7261bcaf767b997ce2eac56725545c912ac034291e62"}}