{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6UBNZDWPAX7KDCYOSH236YXGIA","short_pith_number":"pith:6UBNZDWP","canonical_record":{"source":{"id":"1112.3217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-14T14:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"67c1fd9c1adee41f52a4731861d7386a24ec20c489cd51b07a8d9c0d3c49e02b","abstract_canon_sha256":"3a5329f819dc32a21d99054548ce56474849eecf64948fbbd85af186ee9fac4c"},"schema_version":"1.0"},"canonical_sha256":"f502dc8ecf05fea18b0e91f5bf62e6401d916436fb3a86b1e699ab7f281edc51","source":{"kind":"arxiv","id":"1112.3217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3217","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3217v1","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3217","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"pith_short_12","alias_value":"6UBNZDWPAX7K","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6UBNZDWPAX7KDCYO","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6UBNZDWP","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6UBNZDWPAX7KDCYOSH236YXGIA","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-14T14:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"67c1fd9c1adee41f52a4731861d7386a24ec20c489cd51b07a8d9c0d3c49e02b","abstract_canon_sha256":"3a5329f819dc32a21d99054548ce56474849eecf64948fbbd85af186ee9fac4c"},"schema_version":"1.0"},"canonical_sha256":"f502dc8ecf05fea18b0e91f5bf62e6401d916436fb3a86b1e699ab7f281edc51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:53.891916Z","signature_b64":"LVznDZ3xJoRo/rMbyIkRluQ18hPqkiU/0xtuEMBAstI1P+Vv54KKetf0ZCv5okXTwbyGaO7t6Pa9kgNep7zZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f502dc8ecf05fea18b0e91f5bf62e6401d916436fb3a86b1e699ab7f281edc51","last_reissued_at":"2026-05-18T00:56:53.891341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:53.891341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3217","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":"2026-05-18T00:56:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JpsWRhyyxqyz2JiGTchSTyjuh6umQW71yJICoA7Xm07r94DGYuXkxBG1dI4i4fLzM0Rfd1YFUXlCL66XbOUGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:53.795474Z"},"content_sha256":"ff38bc6885a9cbe2574fb4c3933896a05ef82b76bf82b55358651a0b59de5ed7","schema_version":"1.0","event_id":"sha256:ff38bc6885a9cbe2574fb4c3933896a05ef82b76bf82b55358651a0b59de5ed7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6UBNZDWPAX7KDCYOSH236YXGIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudo Hermitian formulation of Black-Scholes equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"P. Roy, T. K. Jana","submitted_at":"2011-12-14T14:03:15Z","abstract_excerpt":"We show that the non Hermitian Black-Scholes Hamiltonian and its various generalizations are eta-pseudo Hermitian. The metric operator eta is explicitly constructed for this class of Hamitonians. It is also shown that the effective Black-Scholes Hamiltonian and its partner form a pseudo supersymmetric system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3217","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":"2026-05-18T00:56:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBEpsfSqmUKeo5YOOaR9OeeFe1HAyCbazcuXe+JTfGyR8nmbR7tKc5NGyZzeRAhSCscNv7DxSQhqwLPZYcymAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:53.796104Z"},"content_sha256":"73fd0b503c75a8435db966bafe6e46cda0d15e90e984d39f8f1c7ea8d7ff898d","schema_version":"1.0","event_id":"sha256:73fd0b503c75a8435db966bafe6e46cda0d15e90e984d39f8f1c7ea8d7ff898d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UBNZDWPAX7KDCYOSH236YXGIA/bundle.json","state_url":"https://pith.science/pith/6UBNZDWPAX7KDCYOSH236YXGIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UBNZDWPAX7KDCYOSH236YXGIA/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":"2026-06-05T18:50:53Z","links":{"resolver":"https://pith.science/pith/6UBNZDWPAX7KDCYOSH236YXGIA","bundle":"https://pith.science/pith/6UBNZDWPAX7KDCYOSH236YXGIA/bundle.json","state":"https://pith.science/pith/6UBNZDWPAX7KDCYOSH236YXGIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UBNZDWPAX7KDCYOSH236YXGIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6UBNZDWPAX7KDCYOSH236YXGIA","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":"3a5329f819dc32a21d99054548ce56474849eecf64948fbbd85af186ee9fac4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-14T14:03:15Z","title_canon_sha256":"67c1fd9c1adee41f52a4731861d7386a24ec20c489cd51b07a8d9c0d3c49e02b"},"schema_version":"1.0","source":{"id":"1112.3217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3217","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3217v1","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3217","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"pith_short_12","alias_value":"6UBNZDWPAX7K","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6UBNZDWPAX7KDCYO","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6UBNZDWP","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:73fd0b503c75a8435db966bafe6e46cda0d15e90e984d39f8f1c7ea8d7ff898d","target":"graph","created_at":"2026-05-18T00:56:53Z","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":"We show that the non Hermitian Black-Scholes Hamiltonian and its various generalizations are eta-pseudo Hermitian. The metric operator eta is explicitly constructed for this class of Hamitonians. It is also shown that the effective Black-Scholes Hamiltonian and its partner form a pseudo supersymmetric system.","authors_text":"P. Roy, T. K. Jana","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-14T14:03:15Z","title":"Pseudo Hermitian formulation of Black-Scholes equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3217","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:ff38bc6885a9cbe2574fb4c3933896a05ef82b76bf82b55358651a0b59de5ed7","target":"record","created_at":"2026-05-18T00:56:53Z","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":"3a5329f819dc32a21d99054548ce56474849eecf64948fbbd85af186ee9fac4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-12-14T14:03:15Z","title_canon_sha256":"67c1fd9c1adee41f52a4731861d7386a24ec20c489cd51b07a8d9c0d3c49e02b"},"schema_version":"1.0","source":{"id":"1112.3217","kind":"arxiv","version":1}},"canonical_sha256":"f502dc8ecf05fea18b0e91f5bf62e6401d916436fb3a86b1e699ab7f281edc51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f502dc8ecf05fea18b0e91f5bf62e6401d916436fb3a86b1e699ab7f281edc51","first_computed_at":"2026-05-18T00:56:53.891341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:53.891341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LVznDZ3xJoRo/rMbyIkRluQ18hPqkiU/0xtuEMBAstI1P+Vv54KKetf0ZCv5okXTwbyGaO7t6Pa9kgNep7zZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:53.891916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff38bc6885a9cbe2574fb4c3933896a05ef82b76bf82b55358651a0b59de5ed7","sha256:73fd0b503c75a8435db966bafe6e46cda0d15e90e984d39f8f1c7ea8d7ff898d"],"state_sha256":"00f109d84c0a700f22077615703de03746fa2f31b74c48c6ac1d73f19c55b65b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N4MUSTMPmizxBJHok/fIWzGbFNzWG0M798+/EglWLeQ90QwmavcYhd2FyqnYl4Kj0naA5EvhBBIaZ408NPmFDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:50:53.799783Z","bundle_sha256":"963d131b6417f05e6ebbcf8116f4535c6a8f770721f4fc7f3bb0c901767edeab"}}