{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:HO7NZDSSUAZ45U4XOZ272ICJRQ","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":"e66eaa0fb375143922aba4265ea30ecfed70474f403c6c565dc6d5f0f66292d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2001-12-25T09:41:59Z","title_canon_sha256":"a5c38915a60a0ef39e224d7e3a0c176b5c66df7be7ce64d9c6ea509c33053b56"},"schema_version":"1.0","source":{"id":"quant-ph/0112156","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0112156","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0112156v6","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0112156","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"pith_short_12","alias_value":"HO7NZDSSUAZ4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"HO7NZDSSUAZ45U4X","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"HO7NZDSS","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:b06209b4248742e71a3f19226afbf771467afd1c146d50223a5a48a84bbc4626","target":"graph","created_at":"2026-05-17T23:42:03Z","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":"In this paper, a quantum model for the binomial market in finance is proposed. We show that its risk-neutral world exhibits an intriguing structure as a disk in the unit ball of ${\\bf R}^3,$ whose radius is a function of the risk-free interest rate with two thresholds which prevent arbitrage opportunities from this quantum market. Furthermore, from the quantum mechanical point of view we re-deduce the Cox-Ross-Rubinstein binomial option pricing formula by considering Maxwell-Boltzmann statistics of the system of $N$ distinguishable particles.","authors_text":"Zeqian Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2001-12-25T09:41:59Z","title":"Quantum Theory for the Binomial Model in Finance Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0112156","kind":"arxiv","version":6},"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":"sha256:18f530b4130da3123ef0c6bfddd4c1e313c08bb5b88a579f91f2fd6c07a02bdb","target":"record","created_at":"2026-05-17T23:42:03Z","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":"e66eaa0fb375143922aba4265ea30ecfed70474f403c6c565dc6d5f0f66292d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2001-12-25T09:41:59Z","title_canon_sha256":"a5c38915a60a0ef39e224d7e3a0c176b5c66df7be7ce64d9c6ea509c33053b56"},"schema_version":"1.0","source":{"id":"quant-ph/0112156","kind":"arxiv","version":6}},"canonical_sha256":"3bbedc8e52a033ced3977675fd20498c2b843ed5a60ad1b7fdf89834f4192e82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bbedc8e52a033ced3977675fd20498c2b843ed5a60ad1b7fdf89834f4192e82","first_computed_at":"2026-05-17T23:42:03.660100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:03.660100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/1ojvImxCOxG9pWDQKUC+qJ+nDGKGfmFJKEcSDrFsYh1EQUcnPK70sPdp2L5vtFeUWR8u/LYpg/MLK6uBXiQCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:03.660595Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0112156","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18f530b4130da3123ef0c6bfddd4c1e313c08bb5b88a579f91f2fd6c07a02bdb","sha256:b06209b4248742e71a3f19226afbf771467afd1c146d50223a5a48a84bbc4626"],"state_sha256":"c52a4840049d43ccd98bf3070c4eee34790d8da51061f0ec952662fa4d8ab39c"}