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Paper Citation Record · LEDGER

Contracting a crowd of heterogeneous agents

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:db496db20cf390beec0fffdddcde306a14d31e1b66f7a526fc8c416a11a33713

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:8031607b369ffd242ac7f6344de1f998311196f5518fbde2c6b55aa425a53fbd

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d63f41dab12dbf3fb6eaa8bf6bdb48924be133e5c92bb596f4f81f777d5d1216

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:13a4c373f89db26c24463d3fde27e72986a2c5efde108b5613c68f2f07e928a8

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:4a3d8c29ceb19b8e2fdadef6bc82b0a0f55fa18cf074b5a87aba6fb9daf1983d

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b106b129a8cd8195573d11d3684bdfc7e6098327f9dbed1f2a791549dd35803f

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5c2fcc835268213f55b08df796be0bd0586172e212830861f3ab70a5db8e306c

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:56e1998afb119a2c3bda9c4def0c20920c3815d0288da137c8fd9a5e03949565

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:a981b3a14c3d9bc128696c890802c2714a5ae606d2f1cad98347f72b5bfa4c2b

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:a475e442aa918861d53542f3f3140946431e14719ae20abb3c15831b6db0d077

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:9df2594f7cd4b98e44ceb3a3f5d4afd9787723012f30257077ec997a287eaf79

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:38f1e662ccfadb38e090cfec8c535b0cbd906928e62aa2621e2873256278a25e

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:f848435e7baeda7a725dc67b3729b270a9d8c88c140bfcc41d8e6233bcff56eb

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:07993bed7c268bb6f63fd03932db2cf2953aea48f52b5ed69e48dcc09c04ce79

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:99b7316b314c4c9631a97d8018dced338787ff33c3802d3d7f0051792ccdf6ed

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:6c5e1c3b4bc8c09219937dbdcf02a82728ed584936a60f7d3d34b8411af3a656

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:63c1076da6a3a43a261e8de774b6448e3c0e0273b27e477fa46b03b750ed4a46

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5868cfcd4e91ef73e21d8c091ccbf9ed451ef9710a99fbe5a796f1aba38c7a70

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:757f044203c47e89cc48682dfd9219e777176e5b81972f5bbd87f39edc13c9f4

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:2387dd7f712fd6b958ec948a58d0da34a0f65fbf389b32a59f715cc7071dbda4

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:b3f12466a259875cb3b703ffbc247b0ae763e1ab3417b375c09ba104f6d18855

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0106a77b11a9684829997c15e0c17e3989958b753505ff6f63d18a5c2fde64a1

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:f2c99326a5883b1fae5bb273008d33f679c2b21fdab04968ab78c86cc8778132

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d597760517077704442c9274840ddc6d0a666c15b021b25c0fb89f3b64dd0ca7

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:c3c17eab246f042bac992ba3932fd945d32f43a1e59b8a6aa57f970e01f92f79

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:f18c38066d5f623ad2d7084aefee811c4e5de06afdd82e8130a430a272ce091b

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:66bf7b3e1d6fe1d503c0982ee556e80d8abd74b04213df0365bdee20153161a9

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:5e7df04aaea556644ab6bb59e5f19d0fb984b04ecf4a697b9bb6b7f68afae2d8

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0b91f9cfa36208fb34023406a2c967cb0a20ecd47e0888be493f495a1b2e3392

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:0da42f3770ca5ccffd163f967174caa6d8dd69c851813356d58ee881d62f0bf6

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:38a94fddca95920400f8e6951f541ab5ccf5cdb683106bec4244e951814439b2

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:babb5151d66b188ed1a001ef07f8a40555289f72eed5430c730fb78980862540

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:d04726b75f90b102d6bbd08df8b7064d58ca7df1192ce3d536102afc5fe92eae

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:7f07bf97d849294ffdbb06cf9ab8de912e29159633804dc1a0611ef692186990

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T23:48:07.211977Z digest=sha256:06ed9f857b271757860c1352093a05be4a538c3f94597da70df1c4800a8f1150

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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