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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:6023702c39b732ced242359e1d1082ced6817eb6a1ef580ad2df921c5e3fbf00

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:dab3a4b4033fff04548d97eba0006a0355a199422617eb93d0ddcbce1e6530bc

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:20c2a475d42d1b2cc49736ba2378e41dc7054757ab4c674f13f997bed0b7903a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5441e22ffd199e8a4a671b2e10c0a6a5560d14e555fb4542a77333570a07fd21

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:af2ad146b856c4a6d5dfa8eef742322e8423c5dea2720fcacc6ea86e40b69147

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:e5bcc7e3eea89566795ab8bde8e9b47a8934f65927689cbfa7e83b70d13d7a5a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:8163dcb73eb9f5c5f0aceb1310a55f3f3a866dfb396049773e66b0f3f16e37ca

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0ab7a02d8d9112e2d12e5267117f5f343829db96e2a1fdb3b8f71c82fc6a16c5

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d531901f55156dd360ed0e05a66dfeebfa25a9ec69a680e1a673898bed49e371

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:3be66fe909013b18231323c4840c21a6b28a82b3578d01d01ab09187544d01d1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:1333b4b44a59939ef39757f5e2f0559650f32b6c46e05ccd69e6a7b4c6a5b63a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:bfe60cd1d1b555ee50f295cb2ba3ebcda1f432876f9373d84409ba4bbf90ac26

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:ff232e50460fa309eba3b674395614f4a299bc2460cc87ae8aeac6e6ba923b7c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:e0c226f658e7805b6ace1cb09577edf269e515898e6bbf0579a3c3a5a04d82f0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:a51946d7fa5a89713b05d9526d2e68f780e2a887417073d2cf5c4fa0c0cee60a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:2710a572b3190f6244130aa213eba7a289461e5d649e6ffbb322f40be0c6507f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:07cf40584a15760fe65feb0a91927d60082d7a0b78474d3d8cb247a9dbecd67b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:ac4224a6df9250bfc48c89cf45dc6e02089719f4cd4cad00fb6045a0725991ec

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:3fed7c6e6f0ea732f15c1a2b5f86c484778c57b68e539fea01f4e0ba7b5b8a21

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:fac77cd995ad4604760607e2cab0664da9a55157a6db4156604563d0eab2b620

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:4187a9c110b2722b753cf542b0cc3e44cda78e372f190f9b9b7db1d7e9065d69

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:74b6db1061c0599cb596f41f6500b75a5a85714adf7cfffc7675bb3fe861086d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:00aab268b4b1fed992243464cd6be4fc9e2ba3a93fb282b927f86634541a4e01

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:7d9356c34694b6d91e7788e28429c9f391e3e5caf2bbe7fa2e06b89c9c93244a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:ace55d78235ab530f6e15bad84234806135468732128edb102b35a8323462e6e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:9c9b6be5bff3ae63f8bd24b446238db2d31fc4103c772c160040ea07371666ce

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:268fa20430b8257c11cdd233b21e2df8ec69d0e89230a4f4ac020494978627fb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:68a0944c3181e5e970222fb53984903572fcc542704e51b79d2215c946ef7ee3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:59e967c4125dba793b20e919383a4b4cfd0296dda6a12c0e2a07b2fdb5100cbe

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d21c295fed571fe87e15b31f5f3755fad489305ed59eeb30fe14a2233ab89d0b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:6f33b2cf8cc4f5b22613005b68a959f2056c238d1ed66303bda3c38182c7928d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:2fda8717244db815e31049409ddb48db03364a04cf2b9f20da08ed1dad274570

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:e4178018d956097537fc7848668f1e3148c7bcf0b407bd76b0109aa0f485d65e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5282774eeb1494523d5dbb4c5ce2f64773dddcae72676f4eb91555d5a597a23f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:4d9990c81743638f36c2badb56066952981f6c06b646715ce118e05e8bef3de0

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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