{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Z2V3QWMUBDVSGW7B74RIYMTRMZ","short_pith_number":"pith:Z2V3QWMU","canonical_record":{"source":{"id":"1702.01175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-02-03T21:42:46Z","cross_cats_sorted":[],"title_canon_sha256":"ac146fc66fe88ed777a4e3d02d60a4094c7635c9edb8f90aab1713549093edf5","abstract_canon_sha256":"994355e565576153acbdd9849486406f0eaaa84ab357a9006ed795bc7eabe92e"},"schema_version":"1.0"},"canonical_sha256":"ceabb8599408eb235be1ff228c3271664d8485cbde0deb91082c1e7910e687a9","source":{"kind":"arxiv","id":"1702.01175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01175","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01175v1","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01175","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"Z2V3QWMUBDVS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2V3QWMUBDVSGW7B","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2V3QWMU","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Z2V3QWMUBDVSGW7B74RIYMTRMZ","target":"record","payload":{"canonical_record":{"source":{"id":"1702.01175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-02-03T21:42:46Z","cross_cats_sorted":[],"title_canon_sha256":"ac146fc66fe88ed777a4e3d02d60a4094c7635c9edb8f90aab1713549093edf5","abstract_canon_sha256":"994355e565576153acbdd9849486406f0eaaa84ab357a9006ed795bc7eabe92e"},"schema_version":"1.0"},"canonical_sha256":"ceabb8599408eb235be1ff228c3271664d8485cbde0deb91082c1e7910e687a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:24.305040Z","signature_b64":"GuP6slfoo/uy2Wdp209O8bmp+ZfHm7oDxF7jmI1FJIgAyymANK5hkefdWm4Mhw+wd39wYNHV+E/OYt/dCm78Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ceabb8599408eb235be1ff228c3271664d8485cbde0deb91082c1e7910e687a9","last_reissued_at":"2026-05-18T00:51:24.304433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:24.304433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.01175","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":"2026-05-18T00:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gVDmmmbXXECC1weDHYkWZbcqtQ0emr159mEbLLsvT+3/78VIzd10XgRh9GqjIE7VpLsWp+3EnbTHwbrbFhfhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:17:28.745262Z"},"content_sha256":"fce0dec5ad0c74ad6f7a348815b05468b63859546ef873549ca66519b1d3a315","schema_version":"1.0","event_id":"sha256:fce0dec5ad0c74ad6f7a348815b05468b63859546ef873549ca66519b1d3a315"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Z2V3QWMUBDVSGW7B74RIYMTRMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monetary value measures in a category of probability spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Takanori Adachi, Yoshihiro Ryu","submitted_at":"2017-02-03T21:42:46Z","abstract_excerpt":"We generalize the notion of monetary value measures developed with category theory in [Adachi, 2014] by extending their base category from the category \\c{hi} to the category of probability spaces Prob introduced in [Adachi and Ryu, 2016]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01175","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":"2026-05-18T00:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v7o3GjJn8CPHuMjM/a1hemBSrngc0j3gbPQ0tAxrocd2fO3Bokze/Ke2NMlwKmiFQuppZ2D2+DDKmUJFc1hyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:17:28.745612Z"},"content_sha256":"9ed757e88707f350226109d85695c64b183a55f0eb7a0801235d6fc7da3d9668","schema_version":"1.0","event_id":"sha256:9ed757e88707f350226109d85695c64b183a55f0eb7a0801235d6fc7da3d9668"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/bundle.json","state_url":"https://pith.science/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/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":"2026-06-02T01:17:28Z","links":{"resolver":"https://pith.science/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ","bundle":"https://pith.science/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/bundle.json","state":"https://pith.science/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z2V3QWMUBDVSGW7B74RIYMTRMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z2V3QWMUBDVSGW7B74RIYMTRMZ","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":"994355e565576153acbdd9849486406f0eaaa84ab357a9006ed795bc7eabe92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-02-03T21:42:46Z","title_canon_sha256":"ac146fc66fe88ed777a4e3d02d60a4094c7635c9edb8f90aab1713549093edf5"},"schema_version":"1.0","source":{"id":"1702.01175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01175","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01175v1","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01175","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"Z2V3QWMUBDVS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2V3QWMUBDVSGW7B","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2V3QWMU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:9ed757e88707f350226109d85695c64b183a55f0eb7a0801235d6fc7da3d9668","target":"graph","created_at":"2026-05-18T00:51:24Z","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 generalize the notion of monetary value measures developed with category theory in [Adachi, 2014] by extending their base category from the category \\c{hi} to the category of probability spaces Prob introduced in [Adachi and Ryu, 2016].","authors_text":"Takanori Adachi, Yoshihiro Ryu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-02-03T21:42:46Z","title":"Monetary value measures in a category of probability spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01175","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:fce0dec5ad0c74ad6f7a348815b05468b63859546ef873549ca66519b1d3a315","target":"record","created_at":"2026-05-18T00:51:24Z","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":"994355e565576153acbdd9849486406f0eaaa84ab357a9006ed795bc7eabe92e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-02-03T21:42:46Z","title_canon_sha256":"ac146fc66fe88ed777a4e3d02d60a4094c7635c9edb8f90aab1713549093edf5"},"schema_version":"1.0","source":{"id":"1702.01175","kind":"arxiv","version":1}},"canonical_sha256":"ceabb8599408eb235be1ff228c3271664d8485cbde0deb91082c1e7910e687a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceabb8599408eb235be1ff228c3271664d8485cbde0deb91082c1e7910e687a9","first_computed_at":"2026-05-18T00:51:24.304433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:24.304433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GuP6slfoo/uy2Wdp209O8bmp+ZfHm7oDxF7jmI1FJIgAyymANK5hkefdWm4Mhw+wd39wYNHV+E/OYt/dCm78Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:24.305040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fce0dec5ad0c74ad6f7a348815b05468b63859546ef873549ca66519b1d3a315","sha256:9ed757e88707f350226109d85695c64b183a55f0eb7a0801235d6fc7da3d9668"],"state_sha256":"7e65dac0ce97bb05645bb96c8cbae2a04f9470d5b5a723dd0e97e187d924d244"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0+7XJHiZhVCt9Vc7zN7v4zOaUZNzwlcOiZXM8TzfjHViWTCJbw3hM57KOt2EktKeU5yYPQ/qX0BYwV9z7RYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:17:28.747529Z","bundle_sha256":"6bdbc51f3a62766b7bd50111079c307e52d50ef2a4241705c7a9a4e0ef0f29d1"}}