{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FUIWI3L6SU67YAEXDAHHG63F4L","short_pith_number":"pith:FUIWI3L6","canonical_record":{"source":{"id":"2112.11963","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2021-12-22T15:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"5bc9ea793891c99ef1cbeeee8254d222e797b04af31d4848eaacea6f108b244d","abstract_canon_sha256":"d2b0c3b5c5ccc573cb1804f25246bb2a79b9c62ffb0ed873113caf4354c48f92"},"schema_version":"1.0"},"canonical_sha256":"2d11646d7e953dfc0097180e737b65e2c0f8d42701ca5891ebe113962b4d2824","source":{"kind":"arxiv","id":"2112.11963","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FUIWI3L6SU67YAEXDAHHG63F4L","target":"record","payload":{"canonical_record":{"source":{"id":"2112.11963","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.MF","submitted_at":"2021-12-22T15:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"5bc9ea793891c99ef1cbeeee8254d222e797b04af31d4848eaacea6f108b244d","abstract_canon_sha256":"d2b0c3b5c5ccc573cb1804f25246bb2a79b9c62ffb0ed873113caf4354c48f92"},"schema_version":"1.0"},"canonical_sha256":"2d11646d7e953dfc0097180e737b65e2c0f8d42701ca5891ebe113962b4d2824","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:34:49.214060Z","signature_b64":"COIsaEXSnK5jsJpBwh07P1wUUvk980fq88+NcNREyFD22pfAYW4iywqXkIp7IN8t3JkHHCYKrY/UDKAbONUDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d11646d7e953dfc0097180e737b65e2c0f8d42701ca5891ebe113962b4d2824","last_reissued_at":"2026-07-05T04:34:49.213582Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:34:49.213582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.11963","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TKUhjV3rONNoGT3kXLMwTpjtxob5rtIi85BRsbpDlumAm0h/SrMuq1qHcwCemcTUBpTLfAhhtr1rcg0l5d/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:21:37.673750Z"},"content_sha256":"365b5a084e5c5cd8903e0f20673085a9b6175e078c68a6e0be0b7bb7fa97ec49","schema_version":"1.0","event_id":"sha256:365b5a084e5c5cd8903e0f20673085a9b6175e078c68a6e0be0b7bb7fa97ec49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FUIWI3L6SU67YAEXDAHHG63F4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principal agent mean field games in REC markets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Arvind V Shrivats, Dena Firoozi, Sebastian Jaimungal","submitted_at":"2021-12-22T15:35:13Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.11963","kind":"arxiv","version":2},"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/2112.11963/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":"2026-07-05T04:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJoHz5vqo5uWNnVVvbRq4PC0m6RppLyRGsEe4ILI/Ts8WTBhEXR+laERNirfCJBf35LaQcaH6wZ+Octizh/dAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:21:37.674562Z"},"content_sha256":"19a979ce836c787884f86f10e0e37ff62eddd9af9e78b518d53c8636f99c3276","schema_version":"1.0","event_id":"sha256:19a979ce836c787884f86f10e0e37ff62eddd9af9e78b518d53c8636f99c3276"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FUIWI3L6SU67YAEXDAHHG63F4L/bundle.json","state_url":"https://pith.science/pith/FUIWI3L6SU67YAEXDAHHG63F4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FUIWI3L6SU67YAEXDAHHG63F4L/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":"2026-08-18T11:21:37Z","links":{"resolver":"https://pith.science/pith/FUIWI3L6SU67YAEXDAHHG63F4L","bundle":"https://pith.science/pith/FUIWI3L6SU67YAEXDAHHG63F4L/bundle.json","state":"https://pith.science/pith/FUIWI3L6SU67YAEXDAHHG63F4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FUIWI3L6SU67YAEXDAHHG63F4L/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMSGI2JAL+20NZPw/zJGGzvln8kI+T6l5diCpBF+K/i/c1rut81B850K4YevvODD5Vv3W8l8uQrHnnfE89zoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T11:21:37.681638Z","bundle_sha256":"b8e199121dece32c10aaa1eec83d2b51ad0b8dc4b4bb8abda387c667b41c836a"}}