{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:V76CBLWSOGMT5WULDKCOFVDRBT","short_pith_number":"pith:V76CBLWS","canonical_record":{"source":{"id":"2403.10399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-15T15:32:56Z","cross_cats_sorted":[],"title_canon_sha256":"f3459ad64300808d323f4cd3e263bdb49f9e24f02e282e78a436cf51b0bdcbb8","abstract_canon_sha256":"bb7da68298d67b5a8ca36c0041d8e466687e66798e4db2d2a26eb6f1644bdee3"},"schema_version":"1.0"},"canonical_sha256":"affc20aed271993eda8b1a84e2d4710ce3675a531a094102eb9ff9c61ccfb3fd","source":{"kind":"arxiv","id":"2403.10399","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10399","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10399v1","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10399","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"V76CBLWSOGMT","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_16","alias_value":"V76CBLWSOGMT5WUL","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_8","alias_value":"V76CBLWS","created_at":"2026-07-05T07:56:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:V76CBLWSOGMT5WULDKCOFVDRBT","target":"record","payload":{"canonical_record":{"source":{"id":"2403.10399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-15T15:32:56Z","cross_cats_sorted":[],"title_canon_sha256":"f3459ad64300808d323f4cd3e263bdb49f9e24f02e282e78a436cf51b0bdcbb8","abstract_canon_sha256":"bb7da68298d67b5a8ca36c0041d8e466687e66798e4db2d2a26eb6f1644bdee3"},"schema_version":"1.0"},"canonical_sha256":"affc20aed271993eda8b1a84e2d4710ce3675a531a094102eb9ff9c61ccfb3fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:56:34.819512Z","signature_b64":"IVQSdb9kqOfJyXl8dIrKu84FfITbNQGSaDmrESq8LuKaGfap4pfLg7uY6CgDwU+UBYuM4+ewzdT4834kRDyoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"affc20aed271993eda8b1a84e2d4710ce3675a531a094102eb9ff9c61ccfb3fd","last_reissued_at":"2026-07-05T07:56:34.819011Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:56:34.819011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.10399","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":"2026-07-05T07:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIVh2UcN0GqarnhYRr4+ItT9/MMU6csJmUvYvo3Sn9a9cyxUFk0+5nES3XvVpuk3DIIEduLPjmrx9BjPuRXMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:08:32.383349Z"},"content_sha256":"e09d84c04d52134b140ad29c232b3b6eea715d93df33f293f5a88e7f1f9b232d","schema_version":"1.0","event_id":"sha256:e09d84c04d52134b140ad29c232b3b6eea715d93df33f293f5a88e7f1f9b232d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:V76CBLWSOGMT5WULDKCOFVDRBT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning of Nash Equilibria in Risk-Averse Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Karl H. Johansson, Michael M. Zavlanos, Yi Shen, Zifan Wang","submitted_at":"2024-03-15T15:32:56Z","abstract_excerpt":"This paper considers risk-averse learning in convex games involving multiple agents that aim to minimize their individual risk of incurring significantly high costs. Specifically, the agents adopt the conditional value at risk (CVaR) as a risk measure with possibly different risk levels. To solve this problem, we propose a first-order risk-averse leaning algorithm, in which the CVaR gradient estimate depends on an estimate of the Value at Risk (VaR) value combined with the gradient of the stochastic cost function. Although estimation of the CVaR gradients using finitely many samples is general"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10399","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/2403.10399/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":"2026-07-05T07:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B95CFxqVLoRJpQcrJtTzEWtSQ2yPMkmP8OL7bvFdCRL0SdIBcUr06WjwO4gSpp1YL63Ia3Lqz2aw5/nhGGWCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:08:32.384548Z"},"content_sha256":"35be8709991a3301ebed08cf1639d9f9fdfeb64569dda7a3c9c63d836f7bd3d3","schema_version":"1.0","event_id":"sha256:35be8709991a3301ebed08cf1639d9f9fdfeb64569dda7a3c9c63d836f7bd3d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V76CBLWSOGMT5WULDKCOFVDRBT/bundle.json","state_url":"https://pith.science/pith/V76CBLWSOGMT5WULDKCOFVDRBT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V76CBLWSOGMT5WULDKCOFVDRBT/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":"2026-08-07T01:08:32Z","links":{"resolver":"https://pith.science/pith/V76CBLWSOGMT5WULDKCOFVDRBT","bundle":"https://pith.science/pith/V76CBLWSOGMT5WULDKCOFVDRBT/bundle.json","state":"https://pith.science/pith/V76CBLWSOGMT5WULDKCOFVDRBT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V76CBLWSOGMT5WULDKCOFVDRBT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:V76CBLWSOGMT5WULDKCOFVDRBT","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":"bb7da68298d67b5a8ca36c0041d8e466687e66798e4db2d2a26eb6f1644bdee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-15T15:32:56Z","title_canon_sha256":"f3459ad64300808d323f4cd3e263bdb49f9e24f02e282e78a436cf51b0bdcbb8"},"schema_version":"1.0","source":{"id":"2403.10399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10399","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10399v1","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10399","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"V76CBLWSOGMT","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_16","alias_value":"V76CBLWSOGMT5WUL","created_at":"2026-07-05T07:56:34Z"},{"alias_kind":"pith_short_8","alias_value":"V76CBLWS","created_at":"2026-07-05T07:56:34Z"}],"graph_snapshots":[{"event_id":"sha256:35be8709991a3301ebed08cf1639d9f9fdfeb64569dda7a3c9c63d836f7bd3d3","target":"graph","created_at":"2026-07-05T07:56:34Z","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/2403.10399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers risk-averse learning in convex games involving multiple agents that aim to minimize their individual risk of incurring significantly high costs. Specifically, the agents adopt the conditional value at risk (CVaR) as a risk measure with possibly different risk levels. To solve this problem, we propose a first-order risk-averse leaning algorithm, in which the CVaR gradient estimate depends on an estimate of the Value at Risk (VaR) value combined with the gradient of the stochastic cost function. Although estimation of the CVaR gradients using finitely many samples is general","authors_text":"Karl H. Johansson, Michael M. Zavlanos, Yi Shen, Zifan Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-15T15:32:56Z","title":"Learning of Nash Equilibria in Risk-Averse Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10399","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:e09d84c04d52134b140ad29c232b3b6eea715d93df33f293f5a88e7f1f9b232d","target":"record","created_at":"2026-07-05T07:56:34Z","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":"bb7da68298d67b5a8ca36c0041d8e466687e66798e4db2d2a26eb6f1644bdee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-15T15:32:56Z","title_canon_sha256":"f3459ad64300808d323f4cd3e263bdb49f9e24f02e282e78a436cf51b0bdcbb8"},"schema_version":"1.0","source":{"id":"2403.10399","kind":"arxiv","version":1}},"canonical_sha256":"affc20aed271993eda8b1a84e2d4710ce3675a531a094102eb9ff9c61ccfb3fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"affc20aed271993eda8b1a84e2d4710ce3675a531a094102eb9ff9c61ccfb3fd","first_computed_at":"2026-07-05T07:56:34.819011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:56:34.819011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IVQSdb9kqOfJyXl8dIrKu84FfITbNQGSaDmrESq8LuKaGfap4pfLg7uY6CgDwU+UBYuM4+ewzdT4834kRDyoAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:56:34.819512Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.10399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e09d84c04d52134b140ad29c232b3b6eea715d93df33f293f5a88e7f1f9b232d","sha256:35be8709991a3301ebed08cf1639d9f9fdfeb64569dda7a3c9c63d836f7bd3d3"],"state_sha256":"d921d1cc1f0f2d6693568e5a68d696f587787473eb97e4b102f66d00e5258ddd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MLDO8ILyqp9ILxpAOBK6Hgu+XbZhVDxs3rHHaywSv3V3PbmgPWp3Z/G8sh7pDnyZN7k5H4Gk0SDsop8S0etXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T01:08:32.397560Z","bundle_sha256":"5a00f228127a5c4c73fd1f621e75c53d5249a74e9e9ea28ffb08aec4a61e4a75"}}