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Paper Citation Record · LEDGER

Contracting a crowd of heterogeneous agents

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2507.09415.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.09415 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T23:48:07.211977Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:49:28.199752Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact4
  • verified fuzzy30
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4fc8153d-fe6d-45d7-ac54-3f5d908fdfc3 · outbound

This paper cites A Rank-Based Reward between a Principal and a Field of Agents: Application to Energy Savings.

Contracting a crowd of heterogeneous agents A Rank-Based Reward between a Principal and a Field of Agents: Application to Energy Savings

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.040441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5d6684f3aae2ecd1462cf234f4ca56138a64fb905f010004da604c7a0f33502b

Observation 07e8b5d2-386f-400b-a243-3ffaeb7b298f · outbound

This paper cites Stochastic graphon games: II.

Contracting a crowd of heterogeneous agents Stochastic graphon games: II

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.987063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:00098ad42660db9f8d9b8f412f69ba114562041d416e55c0834d00cd6c10bba1

Observation 71b0e712-70ff-45e3-a9b7-be238af0b7d2 · outbound

This paper cites Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics.

Contracting a crowd of heterogeneous agents Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.033295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:974a9235d03466e3b4d43f6424e47df45ad7a096375f579de2ba393fe8342791

Observation a5e7d3ae-f0d2-4c6a-8be4-833d01204581 · outbound

This paper cites Graphon mean field systems.

Contracting a crowd of heterogeneous agents Graphon mean field systems

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.070187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:e82a2b19a6fde139ec72b09fcd6395b4945f7ca9af928cb6c189d24a098516e7

Observation 9e103e76-e75e-40b8-9679-4183f01cac1c · outbound

This paper cites Large Tournament Games.

Contracting a crowd of heterogeneous agents Large Tournament Games

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.051464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:787d8a9c6c3fd31a2eea8724fbae49880735d3a136c047d36a12b4fb35ab16ce

Observation 318f7832-417e-4abd-a403-f1678489a112 · outbound

This paper cites Graphon particle systems with common noise.

Contracting a crowd of heterogeneous agents Graphon particle systems with common noise

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-05-21T23:50:47.433628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d8a057fbc3b95e55d9f1e299362d9a522ebe1c4160d5a341c4f7be996a070f1c

Observation 3ffde052-02bc-4a12-bf2b-652fcdb97119 · outbound

This paper cites Concentration of measure for graphon particle system.

Contracting a crowd of heterogeneous agents Concentration of measure for graphon particle system

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.058702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:7ade166271e0e2b99e3c03e57a9f40c0bebfcbdde300f337f9fff3027ffbd660

Observation 243d2376-0567-43f0-8d9c-f42cd86c2b91 · outbound

This paper cites Stationarity and uniform in time convergence for the graphon particle system.

Contracting a crowd of heterogeneous agents Stationarity and uniform in time convergence for the graphon particle system

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.990686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:628a95595f83f6a32c7d531e8c1ae4f05818eca3274c57eac7aa8e0609462533

Observation efaee8a4-d79d-4288-aca6-015575982084 · outbound

This paper cites Propagation of chaos of Forward–Backward Stochastic Differential Equations with Graphon interactions.

Contracting a crowd of heterogeneous agents Propagation of chaos of Forward–Backward Stochastic Differential Equations with Graphon interactions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.994332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:93e610e764548a43a3ffb636766e2eb0f50a6a41c3e4d60c27ae791639856d6d

Observation 51b1891b-d3b2-4be6-a05e-ed23c34110b8 · outbound

This paper cites Terminal Ranking Games.

Contracting a crowd of heterogeneous agents Terminal Ranking Games

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.001301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:cba6df89b63fb8483138683104a2584f24faf2a34a9ab3f4445db8d372012406

Observation 0ab3b17c-0e30-442f-882a-8b6a2544fd87 · outbound

This paper cites Non-parametric estimates for graphon mean-field particle systems.

Contracting a crowd of heterogeneous agents Non-parametric estimates for graphon mean-field particle systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.044140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:a0ceab16f06d0296e06075ea33f989e1d157e943a4b3ff5ca567cdea717d7c1a

Observation 7c4a6b0c-536a-4631-8bce-11ceaa73b886 · outbound

This paper cites Nonlinear Graphon mean-field systems.

Contracting a crowd of heterogeneous agents Nonlinear Graphon mean-field systems

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:50:47.422808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:de1bf1a0aa17e254d42a7e901210e3759148f89c7c92ae28dce4892de1239dbb

Observation cd786341-7d11-4b6a-9a79-78230300bd80 · outbound

This paper cites P robabilistic T heory of M ean F ield G ames with A pplications I - II.

Contracting a crowd of heterogeneous agents P robabilistic T heory of M ean F ield G ames with A pplications I - II

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.015734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:72accf469e26a123ab7d596694f806b0e12ffef1be59a78bee4299bcacb2ce8a

Observation 93be36fa-7a5e-4b9b-b1ca-eb72d3130e9f · outbound

This paper cites Linear-quadratic optimal control for non-exchangeable mean-field SDEs and applications to systemic risk.

Contracting a crowd of heterogeneous agents Linear-quadratic optimal control for non-exchangeable mean-field SDEs and applications to systemic risk

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:50:47.428357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b1155914d9a3344b90df52f94f474defab1e0127845f012770960fcbc750bba8

Observation 6bac826b-d736-404c-8d5f-5969cc6d946d · outbound

This paper cites Caines and Minyi Huang.

Contracting a crowd of heterogeneous agents Caines and Minyi Huang

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.077063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:4a2506c9986338d716d4fd0cf8ab486f38b893cf2a4efb4626beed8fa1857472

Observation be18544c-c211-4e85-ad1f-025d651c4982 · outbound

This paper cites A probabilistic weak formulation of mean field games and applications.

Contracting a crowd of heterogeneous agents A probabilistic weak formulation of mean field games and applications

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.983723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0673dd18cde69c2bdbc93b2ae088506f2f7cf3051b97c8f446a26686c02bac54

Observation c8124e38-7034-49c5-a3b6-3eaa83bfa89f · outbound

This paper cites Dynamic programming approach to principal--agent problems.

Contracting a crowd of heterogeneous agents Dynamic programming approach to principal--agent problems

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.062514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:945e3ef095213c6916e5dcfaaa92c9a77dd4da698d076c5ebc9152db70965b95

Observation bbb001a7-929f-4568-8105-cf9f524d89ce · outbound

This paper cites Stackelberg Mean Field Games: convergence and existence results to the problem of Principal with multiple Agents in competition.

Contracting a crowd of heterogeneous agents Stackelberg Mean Field Games: convergence and existence results to the problem of Principal with multiple Agents in competition

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:50:47.416818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b2a5792dc85bcc8fa575f27875b3c32fafc8a65b3446e8c105680a8b5d641030

Observation 8afdc1e5-fccb-4e0f-ba59-77cfcc1e11c2 · outbound

This paper cites A Machine Learning Method for Stackelberg Mean Field Games.

Contracting a crowd of heterogeneous agents A Machine Learning Method for Stackelberg Mean Field Games

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.997908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b194e7a4eb5b82b3af9a74537bd861f95d47acbd16c49ae35f426e92182b312e

Observation 8f516376-c53b-4eee-b559-b10f4975efd3 · outbound

This paper cites Mean–field moral hazard for optimal energy demand response management.

Contracting a crowd of heterogeneous agents Mean–field moral hazard for optimal energy demand response management

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.029561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:c86409fdc75dde695ed1d333390481c045566d73dc05f831c35f34f83bb939f0

Observation d4bd971e-8e5c-4193-85f8-c8e1dfa70319 · outbound

This paper cites A tale of a principal and many, many agents.

Contracting a crowd of heterogeneous agents A tale of a principal and many, many agents

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.083648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:9c069b69c8ba59243b229c6e95f3206b9f2b4e871fdb9eab83c59ae45480d6e5

Observation 5adb1a4f-05a5-47c2-87c7-9b9599af36e9 · outbound

This paper cites Contracting theory with multiple competitive agents.

Contracting a crowd of heterogeneous agents Contracting theory with multiple competitive agents

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.047823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:cb7a405e17f24c3457c1f0afdfb36123cb692664e5623c558b7a49ea8e126bb5

Observation 4446eb27-42f7-4209-ae67-dc67c4a3e500 · outbound

This paper cites Caines, and Roland P.

Contracting a crowd of heterogeneous agents Caines, and Roland P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.025999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:09b8598251bedb782b25745c347aeafebdf5168bd078e9917fcbcff09bf34c56

Observation ed1392b6-12c7-4fd9-a611-fa795841502d · outbound

This paper cites Aggregation and linearity in the provision of intertemporal incentives.

Contracting a crowd of heterogeneous agents Aggregation and linearity in the provision of intertemporal incentives

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.009105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0b6a1c49446b63758e0f9c5e7f0d7e63b51d3b7b2f9ce801c2f39e1a819a5a49

Observation f1c935e4-11ab-4a3f-80a6-3d7e5e4eadda · outbound

This paper cites Malhamé, and Peter E.

Contracting a crowd of heterogeneous agents Malhamé, and Peter E

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.022369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:a3e525651df48688d686986687449dda37e1090305d3c8c73b5ea30724590916

Observation e4145824-221a-44d8-bb11-23bb37c8a613 · outbound

This paper cites an unresolved cited work.

Contracting a crowd of heterogeneous agents Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-21T23:50:48.018852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b57f262918c55086afc323359e4cff57e472df2d509245b31dabc5568a9f7f7d

Observation ba874c72-b231-4520-ae8b-72854f0a20d0 · outbound

This paper cites Lasry and P.L.

Contracting a crowd of heterogeneous agents Lasry and P.L

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.086421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:bacf55cf9d19c13d2e1ad6b213793315b2e6b666e8e23fedd977b04245a4bb88

Observation cb8cef44-a442-4d9f-aa8b-3fb2df5889b2 · outbound

This paper cites Lasry and P.L.

Contracting a crowd of heterogeneous agents Lasry and P.L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.066429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:fad0c4978ea3901178058630e7d1f7dade512dcdbcd5a7ee165eb390443433d9

Observation 64f55ff4-93f2-411e-811e-aae0a7d52f21 · outbound

This paper cites Lasry and P.-L.

Contracting a crowd of heterogeneous agents Lasry and P.-L

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.073594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:02a39e38ee37d11b270861c3e6d51e1c1aa3872b31f14e6c2e6470f661e15594

Observation 061aca1a-43d9-4733-8432-cab9cd2cfd68 · outbound

This paper cites A label-state formulation of stochastic graphon games and approximate equilibria on large networks.

Contracting a crowd of heterogeneous agents A label-state formulation of stochastic graphon games and approximate equilibria on large networks

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.012572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:abb63758c3fa25bf43f02d16093bd0dc699993c220520c15b351de8bf7561604

Observation 04fd2a3c-36cd-4b2c-9193-2d8a2d180d99 · outbound

This paper cites Agency problem and mean field system of agents with moral hazard.

Contracting a crowd of heterogeneous agents Agency problem and mean field system of agents with moral hazard

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.080840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0b2950a5dc85600c229f7eb1c2952cc6bf1b9d808dccdfb74037fcdab95f0d9a

Observation c3cb1320-7b09-4c17-a111-b7fb5932dacc · outbound

This paper cites Graphon Games.

Contracting a crowd of heterogeneous agents Graphon Games

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.005270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:641d0c0003d11c6897b72d53d6dc0345209b7398a0091633e10b2624c89fcfb3

Observation 5c6e71ae-e36a-4fa3-ad99-d9b0989462f3 · outbound

This paper cites Graphon games: A statistical framework for network games and interventions.

Contracting a crowd of heterogeneous agents Graphon games: A statistical framework for network games and interventions

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.054996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:eac52c94d5888a0c15de704a4cd9ddd7a444d250ba1f5903a75dc1a973e45654

Observation 2a95d89e-fac8-4810-a777-e3929a9cad22 · outbound

This paper cites Bellman equation and viscosity solutions for mean-field stochastic control problem.

Contracting a crowd of heterogeneous agents Bellman equation and viscosity solutions for mean-field stochastic control problem

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:47.979873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:7030e4c4ce03752f89a480fd094ede5aa00a25e8311499c06e25e57600780661

Observation c7012631-6904-42be-8e60-b60500a9b44d · outbound

This paper cites A continuous-time version of the principal-agent problem.

Contracting a crowd of heterogeneous agents A continuous-time version of the principal-agent problem

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T23:50:48.036950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:3dbab158fbcf474a0d18fcd5da9dfe8e366b5a936010447d6fb24ea8a3f18a06

Pith citing papers

Observation 8fbd5857-6e2b-4580-b6a2-2ee9a5f84d90 · inbound

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications cites this paper.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Contracting a crowd of heterogeneous agents

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T20:49:28.199752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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