{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JP7Y6PWWAE3CXBNC2IA4O5UUXU","short_pith_number":"pith:JP7Y6PWW","canonical_record":{"source":{"id":"1205.5958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-05-27T11:23:09Z","cross_cats_sorted":[],"title_canon_sha256":"62b9977bba9077f86ab6b3ab3eff5e57502726263ba503a482996c0499028bd7","abstract_canon_sha256":"8167772d2066fac88a822b694723c65ff0ab4af30593043f06800d2c9a48a961"},"schema_version":"1.0"},"canonical_sha256":"4bff8f3ed601362b85a2d201c77694bd3624f62b15194775ff78a5bb8811b836","source":{"kind":"arxiv","id":"1205.5958","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5958","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5958v2","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5958","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"pith_short_12","alias_value":"JP7Y6PWWAE3C","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JP7Y6PWWAE3CXBNC","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JP7Y6PWW","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JP7Y6PWWAE3CXBNC2IA4O5UUXU","target":"record","payload":{"canonical_record":{"source":{"id":"1205.5958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-05-27T11:23:09Z","cross_cats_sorted":[],"title_canon_sha256":"62b9977bba9077f86ab6b3ab3eff5e57502726263ba503a482996c0499028bd7","abstract_canon_sha256":"8167772d2066fac88a822b694723c65ff0ab4af30593043f06800d2c9a48a961"},"schema_version":"1.0"},"canonical_sha256":"4bff8f3ed601362b85a2d201c77694bd3624f62b15194775ff78a5bb8811b836","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:46.108460Z","signature_b64":"BdMfvufOlUf5bES5/8bnkRH5XG6ELe5gku9P2M5MDxQauXBdvmFnTfWMyP30Ugn+dJo+456+5zLU65vkapYxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bff8f3ed601362b85a2d201c77694bd3624f62b15194775ff78a5bb8811b836","last_reissued_at":"2026-05-18T03:19:46.107906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:46.107906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.5958","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mTWV2BEQLwa9uEdAjzUwF/nE+BNhU77J4iw3050G6ctRJasZFzTiu5AA5cQAayAGy/Q1jrahrr6EqvKZiNUJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:24:34.553427Z"},"content_sha256":"e9773cebd14ea84e8292e26571778b82eb83fe43d65cc8e09e35c627c184c43e","schema_version":"1.0","event_id":"sha256:e9773cebd14ea84e8292e26571778b82eb83fe43d65cc8e09e35c627c184c43e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JP7Y6PWWAE3CXBNC2IA4O5UUXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Life Insurance Purchasing to Maximize Utility of Household Consumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.PM","authors_text":"Erhan Bayraktar, Virginia R. Young","submitted_at":"2012-05-27T11:23:09Z","abstract_excerpt":"We determine the optimal amount of life insurance for a household of two wage earners. We consider the simple case of exponential utility, thereby removing wealth as a factor in buying life insurance, while retaining the relationship among life insurance, income, and the probability of dying and thus losing that income. For insurance purchased via a single premium or premium payable continuously, we explicitly determine the optimal death benefit. We show that if the premium is determined to target a specific probability of loss per policy, then the rates of consumption are identical under sing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5958","kind":"arxiv","version":2},"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":"2026-05-18T03:19:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SiPTDxoJ0itKsPx+RGEcX62X/HXBFNk0kRbUxC6o76NuCwVSvRkVAfgVHzf7aBZT81bJ1Umm/lWy/1zh8OYOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:24:34.554094Z"},"content_sha256":"9eca371d3f00f9ddac9220b8d7a2b7e409ba0cfb1b226caf8a460f9380e90025","schema_version":"1.0","event_id":"sha256:9eca371d3f00f9ddac9220b8d7a2b7e409ba0cfb1b226caf8a460f9380e90025"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/bundle.json","state_url":"https://pith.science/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/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":"2026-05-25T23:24:34Z","links":{"resolver":"https://pith.science/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU","bundle":"https://pith.science/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/bundle.json","state":"https://pith.science/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JP7Y6PWWAE3CXBNC2IA4O5UUXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JP7Y6PWWAE3CXBNC2IA4O5UUXU","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":"8167772d2066fac88a822b694723c65ff0ab4af30593043f06800d2c9a48a961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-05-27T11:23:09Z","title_canon_sha256":"62b9977bba9077f86ab6b3ab3eff5e57502726263ba503a482996c0499028bd7"},"schema_version":"1.0","source":{"id":"1205.5958","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5958","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5958v2","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5958","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"pith_short_12","alias_value":"JP7Y6PWWAE3C","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JP7Y6PWWAE3CXBNC","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JP7Y6PWW","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:9eca371d3f00f9ddac9220b8d7a2b7e409ba0cfb1b226caf8a460f9380e90025","target":"graph","created_at":"2026-05-18T03:19:46Z","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 determine the optimal amount of life insurance for a household of two wage earners. We consider the simple case of exponential utility, thereby removing wealth as a factor in buying life insurance, while retaining the relationship among life insurance, income, and the probability of dying and thus losing that income. For insurance purchased via a single premium or premium payable continuously, we explicitly determine the optimal death benefit. We show that if the premium is determined to target a specific probability of loss per policy, then the rates of consumption are identical under sing","authors_text":"Erhan Bayraktar, Virginia R. Young","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-05-27T11:23:09Z","title":"Life Insurance Purchasing to Maximize Utility of Household Consumption"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5958","kind":"arxiv","version":2},"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:e9773cebd14ea84e8292e26571778b82eb83fe43d65cc8e09e35c627c184c43e","target":"record","created_at":"2026-05-18T03:19:46Z","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":"8167772d2066fac88a822b694723c65ff0ab4af30593043f06800d2c9a48a961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2012-05-27T11:23:09Z","title_canon_sha256":"62b9977bba9077f86ab6b3ab3eff5e57502726263ba503a482996c0499028bd7"},"schema_version":"1.0","source":{"id":"1205.5958","kind":"arxiv","version":2}},"canonical_sha256":"4bff8f3ed601362b85a2d201c77694bd3624f62b15194775ff78a5bb8811b836","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bff8f3ed601362b85a2d201c77694bd3624f62b15194775ff78a5bb8811b836","first_computed_at":"2026-05-18T03:19:46.107906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:46.107906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BdMfvufOlUf5bES5/8bnkRH5XG6ELe5gku9P2M5MDxQauXBdvmFnTfWMyP30Ugn+dJo+456+5zLU65vkapYxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:46.108460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5958","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9773cebd14ea84e8292e26571778b82eb83fe43d65cc8e09e35c627c184c43e","sha256:9eca371d3f00f9ddac9220b8d7a2b7e409ba0cfb1b226caf8a460f9380e90025"],"state_sha256":"1c8dab37401e8ee4e446b6d3438d0635b857df6cf40cb46ae1a43d3614c94bca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r7youNlJr0hc9unR3ikW66BQnkiHB8bSLjsroz/8a2cgFdMr6ip1+CVG5hSj8o5R5OWIx0xJtZ5MtaSe0+yEBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:24:34.557840Z","bundle_sha256":"39637c97fb3af551e0b100b32da461101e7c181830ef88ef31154629fda2b858"}}