{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:J5QVJ2XMEAHVP3XCN444WLBUUE","short_pith_number":"pith:J5QVJ2XM","canonical_record":{"source":{"id":"cond-mat/0202311","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-19T09:33:50Z","cross_cats_sorted":[],"title_canon_sha256":"e739c8b8f264b2c24aa3e45060a68efa41fa8b9c63c4e0a726d9f7269d60068b","abstract_canon_sha256":"48ff2200056212e40011289decf5167f201b0007a41a76cfb9b447361b4b515f"},"schema_version":"1.0"},"canonical_sha256":"4f6154eaec200f57eee26f39cb2c34a129eef276f8be0eac92d1f1935229033f","source":{"kind":"arxiv","id":"cond-mat/0202311","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202311","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202311v1","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202311","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"J5QVJ2XMEAHV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"J5QVJ2XMEAHVP3XC","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"J5QVJ2XM","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:J5QVJ2XMEAHVP3XCN444WLBUUE","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0202311","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-19T09:33:50Z","cross_cats_sorted":[],"title_canon_sha256":"e739c8b8f264b2c24aa3e45060a68efa41fa8b9c63c4e0a726d9f7269d60068b","abstract_canon_sha256":"48ff2200056212e40011289decf5167f201b0007a41a76cfb9b447361b4b515f"},"schema_version":"1.0"},"canonical_sha256":"4f6154eaec200f57eee26f39cb2c34a129eef276f8be0eac92d1f1935229033f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:04.047990Z","signature_b64":"38Wp19cYTej/tQf9Kbk6iTLL0VpatwGXo73wuO2bW8i85TiDPqly84BC2YO0q42Y4IK3ChMDyUf+b2GdkvyNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f6154eaec200f57eee26f39cb2c34a129eef276f8be0eac92d1f1935229033f","last_reissued_at":"2026-05-18T01:40:04.047466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:04.047466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0202311","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":"2026-05-18T01:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"24fd8u6lXLHMVpt+IEq19GeiGBGi0bbHqgV3MXhw1f0XPB89hdFn/XiEGpNa2thQWOoiaQg9Udi64xM4Ey3XDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:40:59.320558Z"},"content_sha256":"3c3e2c0a8b10cba30f79c075d501d001edea2a2ed5dfce769debe68953f92599","schema_version":"1.0","event_id":"sha256:3c3e2c0a8b10cba30f79c075d501d001edea2a2ed5dfce769debe68953f92599"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:J5QVJ2XMEAHVP3XCN444WLBUUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Option Pricing from Path Integral for Non-Gaussian Fluctuations. Natural Martingale and Application to Truncated L\\'evy Distributions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Hagen Kleinert","submitted_at":"2002-02-19T09:33:50Z","abstract_excerpt":"Within a path integral formalism for non-Gaussian price fluctuations we set up a simple stochastic calculus and derive a natural martingale for option pricing from the wealth balance of options, stocks, and bonds. The resulting formula is evaluated for truncated L\\'evy distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202311","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":"2026-05-18T01:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HziVVTaajlqz5SqwzTzaX7ke+asi4Ztu5jyknSnUO8btRLIy6P57jzOBEmUn8YDSQtZs/3LIK/bHBdSuE1kiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:40:59.320900Z"},"content_sha256":"3338d0773ffee15a1beb3dab3043303bc3def42ebf659015f31c660bd0c3e338","schema_version":"1.0","event_id":"sha256:3338d0773ffee15a1beb3dab3043303bc3def42ebf659015f31c660bd0c3e338"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/bundle.json","state_url":"https://pith.science/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/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":"2026-06-04T00:40:59Z","links":{"resolver":"https://pith.science/pith/J5QVJ2XMEAHVP3XCN444WLBUUE","bundle":"https://pith.science/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/bundle.json","state":"https://pith.science/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5QVJ2XMEAHVP3XCN444WLBUUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:J5QVJ2XMEAHVP3XCN444WLBUUE","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":"48ff2200056212e40011289decf5167f201b0007a41a76cfb9b447361b4b515f","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-19T09:33:50Z","title_canon_sha256":"e739c8b8f264b2c24aa3e45060a68efa41fa8b9c63c4e0a726d9f7269d60068b"},"schema_version":"1.0","source":{"id":"cond-mat/0202311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202311","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202311v1","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202311","created_at":"2026-05-18T01:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"J5QVJ2XMEAHV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"J5QVJ2XMEAHVP3XC","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"J5QVJ2XM","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:3338d0773ffee15a1beb3dab3043303bc3def42ebf659015f31c660bd0c3e338","target":"graph","created_at":"2026-05-18T01:40:04Z","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":"Within a path integral formalism for non-Gaussian price fluctuations we set up a simple stochastic calculus and derive a natural martingale for option pricing from the wealth balance of options, stocks, and bonds. The resulting formula is evaluated for truncated L\\'evy distributions.","authors_text":"Hagen Kleinert","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2002-02-19T09:33:50Z","title":"Option Pricing from Path Integral for Non-Gaussian Fluctuations. Natural Martingale and Application to Truncated L\\'evy Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202311","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":"sha256:3c3e2c0a8b10cba30f79c075d501d001edea2a2ed5dfce769debe68953f92599","target":"record","created_at":"2026-05-18T01:40:04Z","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":"48ff2200056212e40011289decf5167f201b0007a41a76cfb9b447361b4b515f","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-19T09:33:50Z","title_canon_sha256":"e739c8b8f264b2c24aa3e45060a68efa41fa8b9c63c4e0a726d9f7269d60068b"},"schema_version":"1.0","source":{"id":"cond-mat/0202311","kind":"arxiv","version":1}},"canonical_sha256":"4f6154eaec200f57eee26f39cb2c34a129eef276f8be0eac92d1f1935229033f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f6154eaec200f57eee26f39cb2c34a129eef276f8be0eac92d1f1935229033f","first_computed_at":"2026-05-18T01:40:04.047466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:04.047466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"38Wp19cYTej/tQf9Kbk6iTLL0VpatwGXo73wuO2bW8i85TiDPqly84BC2YO0q42Y4IK3ChMDyUf+b2GdkvyNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:04.047990Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0202311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c3e2c0a8b10cba30f79c075d501d001edea2a2ed5dfce769debe68953f92599","sha256:3338d0773ffee15a1beb3dab3043303bc3def42ebf659015f31c660bd0c3e338"],"state_sha256":"3bb75dd8181f5d0c11e376976b37e78f2798c2d51b30bf8147a7657a9fe8bee0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WoI+ZSeLtmyLJF7n2equhUdUDb152mNET13TL4Za5LcDIBcqibN5gW9U4DS0ukavsOwoQcUqeOknMo7zpUvzAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:40:59.323464Z","bundle_sha256":"1f146e7f82d8da27196c3031dde303d00efa183fa74ea1ecfc47cb1a5ca30431"}}