{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:G7Y4KNV5EDUBH5S5GQYE7QEKHA","short_pith_number":"pith:G7Y4KNV5","canonical_record":{"source":{"id":"1302.0539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-02-03T22:10:42Z","cross_cats_sorted":["q-fin.PR"],"title_canon_sha256":"232b2755fd71c20f76c1b08a76553ed339702ab1e464bb419da4fd5dffa63956","abstract_canon_sha256":"3045a99abc3fcd163611465be500001bc0500ac5091961bb3813a250d6c9a940"},"schema_version":"1.0"},"canonical_sha256":"37f1c536bd20e813f65d34304fc08a381e544eb6b3f9a210a34311dd4c3d2c9c","source":{"kind":"arxiv","id":"1302.0539","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0539","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0539v1","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0539","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"pith_short_12","alias_value":"G7Y4KNV5EDUB","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G7Y4KNV5EDUBH5S5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G7Y4KNV5","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:G7Y4KNV5EDUBH5S5GQYE7QEKHA","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-02-03T22:10:42Z","cross_cats_sorted":["q-fin.PR"],"title_canon_sha256":"232b2755fd71c20f76c1b08a76553ed339702ab1e464bb419da4fd5dffa63956","abstract_canon_sha256":"3045a99abc3fcd163611465be500001bc0500ac5091961bb3813a250d6c9a940"},"schema_version":"1.0"},"canonical_sha256":"37f1c536bd20e813f65d34304fc08a381e544eb6b3f9a210a34311dd4c3d2c9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:26.641869Z","signature_b64":"xB4T5P5VnEQCCc1GU2eiXIKYc0z9HdegM4kSrmklkda1OyoucIipCBJeYutHBNih9L9CvmNg8R7V+YxNUD/eCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37f1c536bd20e813f65d34304fc08a381e544eb6b3f9a210a34311dd4c3d2c9c","last_reissued_at":"2026-05-18T00:33:26.641219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:26.641219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0539","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":"2026-05-18T00:33:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NR+BjOsRMb/sXOqem0CxqT33kTnK1uE7Y6TdzhZ21wETN90ir1s4W39Sb5jqZE6zRf4Hdhh5R6ZFFv7tmcxNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:23:43.915125Z"},"content_sha256":"32d58e1b7e42e99991318f595005bc00bcf8ad313b2ba51ca6d6a51b8e8b7786","schema_version":"1.0","event_id":"sha256:32d58e1b7e42e99991318f595005bc00bcf8ad313b2ba51ca6d6a51b8e8b7786"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:G7Y4KNV5EDUBH5S5GQYE7QEKHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Behavioural present value","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.PR"],"primary_cat":"q-fin.GN","authors_text":"Krzysztof Piasecki","submitted_at":"2013-02-03T22:10:42Z","abstract_excerpt":"Impact of chosen behavioural factors on imprecision of present value is discussed here. The formal model of behavioural present value is offered as a result of this discussion. Behavioural present value is described here by fuzzy set. These considerations were illustrated by means of extensive numerical case study. Finally there are shown that in proposed model the return rate is given, as a fuzzy probabilistic set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0539","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":"2026-05-18T00:33:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"suy00LOKAeEDqVacHOGh61JfQ2skiBvMFkL2d+URYQ65081DsXzrSTrNS4OLph8Vh6JVV6p57KYvEw0jfvLfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:23:43.915485Z"},"content_sha256":"8e8c9c202e4706936dc227328c408c3ca85fbbe69f357c935ee0debad175420e","schema_version":"1.0","event_id":"sha256:8e8c9c202e4706936dc227328c408c3ca85fbbe69f357c935ee0debad175420e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/bundle.json","state_url":"https://pith.science/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/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":"2026-06-28T13:23:43Z","links":{"resolver":"https://pith.science/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA","bundle":"https://pith.science/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/bundle.json","state":"https://pith.science/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7Y4KNV5EDUBH5S5GQYE7QEKHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G7Y4KNV5EDUBH5S5GQYE7QEKHA","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":"3045a99abc3fcd163611465be500001bc0500ac5091961bb3813a250d6c9a940","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-02-03T22:10:42Z","title_canon_sha256":"232b2755fd71c20f76c1b08a76553ed339702ab1e464bb419da4fd5dffa63956"},"schema_version":"1.0","source":{"id":"1302.0539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0539","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0539v1","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0539","created_at":"2026-05-18T00:33:26Z"},{"alias_kind":"pith_short_12","alias_value":"G7Y4KNV5EDUB","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G7Y4KNV5EDUBH5S5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G7Y4KNV5","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:8e8c9c202e4706936dc227328c408c3ca85fbbe69f357c935ee0debad175420e","target":"graph","created_at":"2026-05-18T00:33:26Z","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":"Impact of chosen behavioural factors on imprecision of present value is discussed here. The formal model of behavioural present value is offered as a result of this discussion. Behavioural present value is described here by fuzzy set. These considerations were illustrated by means of extensive numerical case study. Finally there are shown that in proposed model the return rate is given, as a fuzzy probabilistic set.","authors_text":"Krzysztof Piasecki","cross_cats":["q-fin.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-02-03T22:10:42Z","title":"Behavioural present value"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0539","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":"sha256:32d58e1b7e42e99991318f595005bc00bcf8ad313b2ba51ca6d6a51b8e8b7786","target":"record","created_at":"2026-05-18T00:33:26Z","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":"3045a99abc3fcd163611465be500001bc0500ac5091961bb3813a250d6c9a940","cross_cats_sorted":["q-fin.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-02-03T22:10:42Z","title_canon_sha256":"232b2755fd71c20f76c1b08a76553ed339702ab1e464bb419da4fd5dffa63956"},"schema_version":"1.0","source":{"id":"1302.0539","kind":"arxiv","version":1}},"canonical_sha256":"37f1c536bd20e813f65d34304fc08a381e544eb6b3f9a210a34311dd4c3d2c9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37f1c536bd20e813f65d34304fc08a381e544eb6b3f9a210a34311dd4c3d2c9c","first_computed_at":"2026-05-18T00:33:26.641219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:26.641219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xB4T5P5VnEQCCc1GU2eiXIKYc0z9HdegM4kSrmklkda1OyoucIipCBJeYutHBNih9L9CvmNg8R7V+YxNUD/eCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:26.641869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32d58e1b7e42e99991318f595005bc00bcf8ad313b2ba51ca6d6a51b8e8b7786","sha256:8e8c9c202e4706936dc227328c408c3ca85fbbe69f357c935ee0debad175420e"],"state_sha256":"5dab9a378d0178548fcdcb8421a9aa8bfdfb4cc57024ee07fa456df85b10b723"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+p4Oc9d8IeIp7XrL/0rmoUCIZXpsZFop7MlKDMXghdQsOUQALDepUqkgzldaqMNrcRoVNALc5ohJq63FOkenBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T13:23:43.917336Z","bundle_sha256":"e7b2060afa505e02bef89d010a3207e6b5461ea0a648a2120947abf4220f8c80"}}