{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:33GAZHWYMAUGFKW72RJW6J5KNA","short_pith_number":"pith:33GAZHWY","canonical_record":{"source":{"id":"1603.02867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-03-09T12:38:30Z","cross_cats_sorted":["math.OC","math.PR"],"title_canon_sha256":"985781e1cd1a7ed01258935d2c240125457ecc47bfd36d64795e2b7bb0422b02","abstract_canon_sha256":"ca335fe119d2b6aab075e491833e4a3c4922ba91aa446b8bb44269e10907b877"},"schema_version":"1.0"},"canonical_sha256":"decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa","source":{"kind":"arxiv","id":"1603.02867","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02867","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02867v1","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02867","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"33GAZHWYMAUG","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"33GAZHWYMAUGFKW7","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"33GAZHWY","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:33GAZHWYMAUGFKW72RJW6J5KNA","target":"record","payload":{"canonical_record":{"source":{"id":"1603.02867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-03-09T12:38:30Z","cross_cats_sorted":["math.OC","math.PR"],"title_canon_sha256":"985781e1cd1a7ed01258935d2c240125457ecc47bfd36d64795e2b7bb0422b02","abstract_canon_sha256":"ca335fe119d2b6aab075e491833e4a3c4922ba91aa446b8bb44269e10907b877"},"schema_version":"1.0"},"canonical_sha256":"decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:19.678898Z","signature_b64":"Pl8Qb4XPF6dYWLf06YymJc3N8ed54j0ElR1npUkFwTym8izDw32tU5XIrtwIeU/ubiOMrCIe7sDTEu0Fnm1YAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa","last_reissued_at":"2026-05-18T01:19:19.678501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:19.678501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.02867","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":"2026-05-18T01:19:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sYBpJsKYMa2WSh13Tx+qMRCKUEf29NTb8Pwkyw+gTlmON23sRctxgumHwSZz9Z8MFo17EOCvnCLm7izwpZYvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:45:28.239174Z"},"content_sha256":"25cbc54f582cedb890f891881919555959e7cabf30c5c7c7d215ccb30780572c","schema_version":"1.0","event_id":"sha256:25cbc54f582cedb890f891881919555959e7cabf30c5c7c7d215ccb30780572c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:33GAZHWYMAUGFKW72RJW6J5KNA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convex duality in optimal investment and contingent claim valuation in illiquid markets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","math.PR"],"primary_cat":"q-fin.MF","authors_text":"Ari-Pekka Perkki\\\"o, Teemu Pennanen","submitted_at":"2016-03-09T12:38:30Z","abstract_excerpt":"This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions decompose into tree terms, corresponding to the agent's risk preferences, trading costs and portfolio constraints, respectively. The dual representations are shown to be valid when the market model satisfies an appropriate generalization of the no-arbitrage condition and the agent's utility function satisfies an appropriate generalization of asymptotic elas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02867","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":"2026-05-18T01:19:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SOIDi4P3jxtNiZN/je1MJJRnoLfIMZcqOteZre2Nyu8xzmf8eXFEBK146vuaB+Oa3plf7CZ+xl9iU0xQKCFdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:45:28.239542Z"},"content_sha256":"1bc9f7cbd901db1a5dda5c8fb626602e5b16d67c45492fcbe995da2d106e5726","schema_version":"1.0","event_id":"sha256:1bc9f7cbd901db1a5dda5c8fb626602e5b16d67c45492fcbe995da2d106e5726"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/33GAZHWYMAUGFKW72RJW6J5KNA/bundle.json","state_url":"https://pith.science/pith/33GAZHWYMAUGFKW72RJW6J5KNA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/33GAZHWYMAUGFKW72RJW6J5KNA/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":"2026-06-01T12:45:28Z","links":{"resolver":"https://pith.science/pith/33GAZHWYMAUGFKW72RJW6J5KNA","bundle":"https://pith.science/pith/33GAZHWYMAUGFKW72RJW6J5KNA/bundle.json","state":"https://pith.science/pith/33GAZHWYMAUGFKW72RJW6J5KNA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/33GAZHWYMAUGFKW72RJW6J5KNA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:33GAZHWYMAUGFKW72RJW6J5KNA","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":"ca335fe119d2b6aab075e491833e4a3c4922ba91aa446b8bb44269e10907b877","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-03-09T12:38:30Z","title_canon_sha256":"985781e1cd1a7ed01258935d2c240125457ecc47bfd36d64795e2b7bb0422b02"},"schema_version":"1.0","source":{"id":"1603.02867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02867","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02867v1","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02867","created_at":"2026-05-18T01:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"33GAZHWYMAUG","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"33GAZHWYMAUGFKW7","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"33GAZHWY","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:1bc9f7cbd901db1a5dda5c8fb626602e5b16d67c45492fcbe995da2d106e5726","target":"graph","created_at":"2026-05-18T01:19:19Z","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":"This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions decompose into tree terms, corresponding to the agent's risk preferences, trading costs and portfolio constraints, respectively. The dual representations are shown to be valid when the market model satisfies an appropriate generalization of the no-arbitrage condition and the agent's utility function satisfies an appropriate generalization of asymptotic elas","authors_text":"Ari-Pekka Perkki\\\"o, Teemu Pennanen","cross_cats":["math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-03-09T12:38:30Z","title":"Convex duality in optimal investment and contingent claim valuation in illiquid markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02867","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":"sha256:25cbc54f582cedb890f891881919555959e7cabf30c5c7c7d215ccb30780572c","target":"record","created_at":"2026-05-18T01:19:19Z","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":"ca335fe119d2b6aab075e491833e4a3c4922ba91aa446b8bb44269e10907b877","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2016-03-09T12:38:30Z","title_canon_sha256":"985781e1cd1a7ed01258935d2c240125457ecc47bfd36d64795e2b7bb0422b02"},"schema_version":"1.0","source":{"id":"1603.02867","kind":"arxiv","version":1}},"canonical_sha256":"decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"decc0c9ed8602862aadfd4536f27aa6811f174a74c29a521d6993584c2b287fa","first_computed_at":"2026-05-18T01:19:19.678501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:19.678501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pl8Qb4XPF6dYWLf06YymJc3N8ed54j0ElR1npUkFwTym8izDw32tU5XIrtwIeU/ubiOMrCIe7sDTEu0Fnm1YAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:19.678898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25cbc54f582cedb890f891881919555959e7cabf30c5c7c7d215ccb30780572c","sha256:1bc9f7cbd901db1a5dda5c8fb626602e5b16d67c45492fcbe995da2d106e5726"],"state_sha256":"16016a016c62015b594771f6ca35a67c494e374d1db399c02155bb6cd26df685"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AWLn0YJmnWe7p0SyVy2skRcXyJBRR3OLTrRMpndy6rAQid/fNsCyFNw77LaTH4jiiZ5ex0wqH88EiKqsZ2HdDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:45:28.241529Z","bundle_sha256":"bc677294db290bab37fcb479df00a6da9b5c99779b159008e62db1f108e692d4"}}