{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J25N3RNHYXYAB45ONBPBDTCK2N","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":"904e89f57aae66dab7b46a556068ed977a7717bdf332fec6db4bf0ec3828f3c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-06-26T14:28:06Z","title_canon_sha256":"d848a3eec1192961cfc0a59aa87bfe11d079dd3c82b3749d6784c2967709272b"},"schema_version":"1.0","source":{"id":"1706.08398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08398","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08398v1","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08398","created_at":"2026-05-18T00:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"J25N3RNHYXYA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J25N3RNHYXYAB45O","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J25N3RNH","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:3e812c711f18d34457f1e33bfb15fc53e371ae08f622c93eec77f7b45418807e","target":"graph","created_at":"2026-05-18T00:41:42Z","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 discuss risked competitive partial equilibrium in a setting in which agents are endowed with coherent risk measures. In contrast to socialplanning models, we show by example that risked equilibria are not unique, even when agents' objective functions are strictly concave. We also show that standard computational methods find only a subset of the equilibria, even with multiple starting points.","authors_text":"Andy Philpott, Henri G\\'erard (CERMICS), Vincent Lecl\\`ere (CERMICS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-06-26T14:28:06Z","title":"On risk averse competitive equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08398","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:bc1f5c78a8a48a9ed5b51ce161e5d208211d7de2be7360cd8cdd944516a8c582","target":"record","created_at":"2026-05-18T00:41:42Z","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":"904e89f57aae66dab7b46a556068ed977a7717bdf332fec6db4bf0ec3828f3c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-06-26T14:28:06Z","title_canon_sha256":"d848a3eec1192961cfc0a59aa87bfe11d079dd3c82b3749d6784c2967709272b"},"schema_version":"1.0","source":{"id":"1706.08398","kind":"arxiv","version":1}},"canonical_sha256":"4ebaddc5a7c5f000f3ae685e11cc4ad35aa215c682002432290f41b58d126571","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ebaddc5a7c5f000f3ae685e11cc4ad35aa215c682002432290f41b58d126571","first_computed_at":"2026-05-18T00:41:42.696880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:42.696880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hL+82Pfjo0YKTezzP8PlljGb86t3AHD6l1brqiUtb1J5Ixkm6BpymJ00Gn+8jceZJ6aUK593nmSi3cjvJAL9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:42.697484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc1f5c78a8a48a9ed5b51ce161e5d208211d7de2be7360cd8cdd944516a8c582","sha256:3e812c711f18d34457f1e33bfb15fc53e371ae08f622c93eec77f7b45418807e"],"state_sha256":"bd0fb18f1d5480fed581ae3710f2d8f5015ec19caf291285bd3f4d32648b36b2"}