{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FUIWI3L6SU67YAEXDAHHG63F4L","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":"d2b0c3b5c5ccc573cb1804f25246bb2a79b9c62ffb0ed873113caf4354c48f92","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2021-12-22T15:35:13Z","title_canon_sha256":"5bc9ea793891c99ef1cbeeee8254d222e797b04af31d4848eaacea6f108b244d"},"schema_version":"1.0","source":{"id":"2112.11963","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.11963","created_at":"2026-07-05T04:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.11963v2","created_at":"2026-07-05T04:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.11963","created_at":"2026-07-05T04:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"FUIWI3L6SU67","created_at":"2026-07-05T04:34:49Z"},{"alias_kind":"pith_short_16","alias_value":"FUIWI3L6SU67YAEX","created_at":"2026-07-05T04:34:49Z"},{"alias_kind":"pith_short_8","alias_value":"FUIWI3L6","created_at":"2026-07-05T04:34:49Z"}],"graph_snapshots":[{"event_id":"sha256:19a979ce836c787884f86f10e0e37ff62eddd9af9e78b518d53c8636f99c3276","target":"graph","created_at":"2026-07-05T04:34:49Z","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/2112.11963/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Principal agent games are a growing area of research which focuses on the optimal behaviour of a principal and an agent, with the former contracting work from the latter, in return for providing a monetary award. While this field canonically considers a single agent, the situation where multiple agents, or even an infinite amount of agents are contracted by a principal are growing in prominence and pose interesting and realistic problems. Here, agents form a Nash equilibrium among themselves, and a Stackelberg equilibrium between themselves as a collective and the principal.\n  We apply this fr","authors_text":"Arvind V Shrivats, Dena Firoozi, Sebastian Jaimungal","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2021-12-22T15:35:13Z","title":"Principal agent mean field games in REC markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.11963","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":"sha256:365b5a084e5c5cd8903e0f20673085a9b6175e078c68a6e0be0b7bb7fa97ec49","target":"record","created_at":"2026-07-05T04:34:49Z","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":"d2b0c3b5c5ccc573cb1804f25246bb2a79b9c62ffb0ed873113caf4354c48f92","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2021-12-22T15:35:13Z","title_canon_sha256":"5bc9ea793891c99ef1cbeeee8254d222e797b04af31d4848eaacea6f108b244d"},"schema_version":"1.0","source":{"id":"2112.11963","kind":"arxiv","version":2}},"canonical_sha256":"2d11646d7e953dfc0097180e737b65e2c0f8d42701ca5891ebe113962b4d2824","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d11646d7e953dfc0097180e737b65e2c0f8d42701ca5891ebe113962b4d2824","first_computed_at":"2026-07-05T04:34:49.213582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:34:49.213582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"COIsaEXSnK5jsJpBwh07P1wUUvk980fq88+NcNREyFD22pfAYW4iywqXkIp7IN8t3JkHHCYKrY/UDKAbONUDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:34:49.214060Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.11963","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:365b5a084e5c5cd8903e0f20673085a9b6175e078c68a6e0be0b7bb7fa97ec49","sha256:19a979ce836c787884f86f10e0e37ff62eddd9af9e78b518d53c8636f99c3276"],"state_sha256":"df69e63f74bb5537bf12a88de8cd042c61573b66db063fe256e3bf912b5fca33"}