{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:W4KOPRQ4G5M22WOUO66QH3T2SI","short_pith_number":"pith:W4KOPRQ4","canonical_record":{"source":{"id":"2409.01478","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-02T22:07:28Z","cross_cats_sorted":[],"title_canon_sha256":"ded4d283a703daac704e765a866183cd020f73d2934763969cc1582d3647cc66","abstract_canon_sha256":"4dbeafb7528baa934a145e83480bf10ad061f48fdf3021276aa8b5e4927f9e9b"},"schema_version":"1.0"},"canonical_sha256":"b714e7c61c3759ad59d477bd03ee7a92016e011f08cc30c511a4976506ff307f","source":{"kind":"arxiv","id":"2409.01478","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01478","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01478v1","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01478","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"W4KOPRQ4G5M2","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_16","alias_value":"W4KOPRQ4G5M22WOU","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_8","alias_value":"W4KOPRQ4","created_at":"2026-07-05T09:02:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:W4KOPRQ4G5M22WOUO66QH3T2SI","target":"record","payload":{"canonical_record":{"source":{"id":"2409.01478","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-02T22:07:28Z","cross_cats_sorted":[],"title_canon_sha256":"ded4d283a703daac704e765a866183cd020f73d2934763969cc1582d3647cc66","abstract_canon_sha256":"4dbeafb7528baa934a145e83480bf10ad061f48fdf3021276aa8b5e4927f9e9b"},"schema_version":"1.0"},"canonical_sha256":"b714e7c61c3759ad59d477bd03ee7a92016e011f08cc30c511a4976506ff307f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:02:29.503235Z","signature_b64":"bO08IWlwneZtyTseTYkxBvcTGejfSIme6R3knbcxjdOO1GZVZO1wVI14V9RPa6NoWA1K3x29Kd//9GtAtwzMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b714e7c61c3759ad59d477bd03ee7a92016e011f08cc30c511a4976506ff307f","last_reissued_at":"2026-07-05T09:02:29.502764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:02:29.502764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.01478","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":"2026-07-05T09:02:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LxR1Dp5a5py/EKOjeBxMDwIt4FSRalbIzEgbcfXK95M3Npyjxeu3vnJ+VRlGgGuDCzdFcQGKMSlBLKR1kpipDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:38:53.845381Z"},"content_sha256":"f8632a65b91c4cd5a4a19545fefa1fbe2e6a0c3b4aa8c3d6a37149cc9b9dc02e","schema_version":"1.0","event_id":"sha256:f8632a65b91c4cd5a4a19545fefa1fbe2e6a0c3b4aa8c3d6a37149cc9b9dc02e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:W4KOPRQ4G5M22WOUO66QH3T2SI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irreversible investment under weighted discounting: effects of decreasing impatience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Pengyu Wei, Wei Wei","submitted_at":"2024-09-02T22:07:28Z","abstract_excerpt":"This paper employs an intra-personal game-theoretic framework to investigate how decreasing impatience influences irreversible investment behaviors in a continuous-time setting. We consider a capacity expansion problem under weighted discount functions, a class of nonexponential functions that exhibit decreasing impatience, including the hyperbolic discount function as a special case. By deriving the Bellman system that characterizes the equilibrium, we establish the framework for analyzing investment behaviors of agents subject to decreasing impatience. From an economic perspective, we demons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01478","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.01478/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:02:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOWL7WLrMxlm+3cpeMj0DRU+C+jqejJhhNvbd7/d25FeX9u9Y0nUXLugbfWNFOPGWnFNvXnOyJ+jSl4t2akjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:38:53.845870Z"},"content_sha256":"d53f037c4df9f05ac1dc604a583797a1247f3b964e0717a0947f528e2e5fff51","schema_version":"1.0","event_id":"sha256:d53f037c4df9f05ac1dc604a583797a1247f3b964e0717a0947f528e2e5fff51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/bundle.json","state_url":"https://pith.science/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/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":"2026-08-11T03:38:53Z","links":{"resolver":"https://pith.science/pith/W4KOPRQ4G5M22WOUO66QH3T2SI","bundle":"https://pith.science/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/bundle.json","state":"https://pith.science/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4KOPRQ4G5M22WOUO66QH3T2SI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:W4KOPRQ4G5M22WOUO66QH3T2SI","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":"4dbeafb7528baa934a145e83480bf10ad061f48fdf3021276aa8b5e4927f9e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-02T22:07:28Z","title_canon_sha256":"ded4d283a703daac704e765a866183cd020f73d2934763969cc1582d3647cc66"},"schema_version":"1.0","source":{"id":"2409.01478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01478","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01478v1","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01478","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"W4KOPRQ4G5M2","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_16","alias_value":"W4KOPRQ4G5M22WOU","created_at":"2026-07-05T09:02:29Z"},{"alias_kind":"pith_short_8","alias_value":"W4KOPRQ4","created_at":"2026-07-05T09:02:29Z"}],"graph_snapshots":[{"event_id":"sha256:d53f037c4df9f05ac1dc604a583797a1247f3b964e0717a0947f528e2e5fff51","target":"graph","created_at":"2026-07-05T09:02:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.01478/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper employs an intra-personal game-theoretic framework to investigate how decreasing impatience influences irreversible investment behaviors in a continuous-time setting. We consider a capacity expansion problem under weighted discount functions, a class of nonexponential functions that exhibit decreasing impatience, including the hyperbolic discount function as a special case. By deriving the Bellman system that characterizes the equilibrium, we establish the framework for analyzing investment behaviors of agents subject to decreasing impatience. From an economic perspective, we demons","authors_text":"Pengyu Wei, Wei Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-02T22:07:28Z","title":"Irreversible investment under weighted discounting: effects of decreasing impatience"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01478","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:f8632a65b91c4cd5a4a19545fefa1fbe2e6a0c3b4aa8c3d6a37149cc9b9dc02e","target":"record","created_at":"2026-07-05T09:02:29Z","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":"4dbeafb7528baa934a145e83480bf10ad061f48fdf3021276aa8b5e4927f9e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2024-09-02T22:07:28Z","title_canon_sha256":"ded4d283a703daac704e765a866183cd020f73d2934763969cc1582d3647cc66"},"schema_version":"1.0","source":{"id":"2409.01478","kind":"arxiv","version":1}},"canonical_sha256":"b714e7c61c3759ad59d477bd03ee7a92016e011f08cc30c511a4976506ff307f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b714e7c61c3759ad59d477bd03ee7a92016e011f08cc30c511a4976506ff307f","first_computed_at":"2026-07-05T09:02:29.502764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:02:29.502764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bO08IWlwneZtyTseTYkxBvcTGejfSIme6R3knbcxjdOO1GZVZO1wVI14V9RPa6NoWA1K3x29Kd//9GtAtwzMCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:02:29.503235Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.01478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8632a65b91c4cd5a4a19545fefa1fbe2e6a0c3b4aa8c3d6a37149cc9b9dc02e","sha256:d53f037c4df9f05ac1dc604a583797a1247f3b964e0717a0947f528e2e5fff51"],"state_sha256":"9d380316d25c238cede8a525fd353c2c2593bb5e3dab98ce6f25efc1834e0e7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yE6/diGeIv9Xs1ZttQN4lWVJvklw0gi/KY2rkepHuo7V391bA0hYk8HIjE75tgqvS+ULWUswb9KLa+Z+aOYDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T03:38:53.850738Z","bundle_sha256":"bd1a9b8307fc0dd1698ba03729eaa4462ccfb208c030fcfbe4c8caf13dd78994"}}