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Paper Citation Record · LEDGER

A New Framework for Modelling Liquidity Pools as Mean Field Games

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2412.09180.

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

pith.paper-citation-record.v1
2412.09180 v4

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T07:30:04.023801Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:47:59.934187Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T17:47:59.983532Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5dd820e9-43de-4aba-af90-03ae5c7e03ec · outbound

This paper cites On a mean field game approach modeling congestion and aversion in pedestrian crowds.

A New Framework for Modelling Liquidity Pools as Mean Field Games On a mean field game approach modeling congestion and aversion in pedestrian crowds

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:09de303b364398529ade10a131402214b7df039249a6731247e8ce46426b0ec8

Observation e3959849-77a0-47c2-96bf-8ba8f023b1a3 · outbound

This paper cites AnanalysisofUniswapmarkets.

A New Framework for Modelling Liquidity Pools as Mean Field Games AnanalysisofUniswapmarkets

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:14aa6b65af564dc70ef60bb55805d8fc62bb6b83b31931c19480c5f1d780e94b

Observation e37e6cf2-14d3-4c1a-8f39-7643e3ae684f · outbound

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

A New Framework for Modelling Liquidity Pools as Mean Field Games A probabilistic weak formulation of mean field games and applications

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.680032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:e2501f60a922230a158d3e08294fb897650a00360c1be49be245a554fcfde7fa

Observation 4a32ee98-6c10-490b-bc41-a120be989e76 · outbound

This paper cites DEX Specs: A Mean Field Approach to DeFi Currency Exchanges.

A New Framework for Modelling Liquidity Pools as Mean Field Games DEX Specs: A Mean Field Approach to DeFi Currency Exchanges

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:32:42.999901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:d2d3f91ffeface6ee2063c79d52dd176b2166d2b15f4bed1902f7029052d6dbc

Observation 03fe396e-50c1-47a2-b4bd-55838c0ce884 · outbound

This paper cites SoK: Decentralized Exchanges (DEX) with Automated Market Maker (AMM) Protocols.

A New Framework for Modelling Liquidity Pools as Mean Field Games SoK: Decentralized Exchanges (DEX) with Automated Market Maker (AMM) Protocols

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.717690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:9fed9747456caa4b2b8478be0bdfccfa367ae5bc18c115461369d2933d65068c

Observation 1ae01ff9-f363-45f9-991f-ec81a5a59e72 · outbound

This paper cites A Mean-Field Game Approach to Price Formation.

A New Framework for Modelling Liquidity Pools as Mean Field Games A Mean-Field Game Approach to Price Formation

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.692169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:f63348554d4bababef7dfb05770581131f4c9caab3d2e41662c9bb1747cf45f1

Observation 408e1da0-a6b5-44bf-b4ad-23c8ea498b96 · outbound

This paper cites Extended deterministic mean-field games.

A New Framework for Modelling Liquidity Pools as Mean Field Games Extended deterministic mean-field games

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.671558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:137fbdde90d01e3584c38d2d3f6f19907ed6119d1da0e4a34c1c5617fc4d9ed8

Observation 42221426-92f3-4fd5-ae82-9a5b248056ed · outbound

This paper cites Variational mean field games for market competition.

A New Framework for Modelling Liquidity Pools as Mean Field Games Variational mean field games for market competition

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.688159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:397661dbc60bad1365f42bc8dda3f0f81ceb67192ddf0327dbdae438ef6189cf

Observation 02c90db0-aa39-4804-9de8-dd53b052bb5b · outbound

This paper cites Mean-Field Liquidation Games with Market Drop- out.

A New Framework for Modelling Liquidity Pools as Mean Field Games Mean-Field Liquidation Games with Market Drop- out

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.701196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:7664093da68f95d9c16f1349c7a50bd745dbbf1ca2fa5441ba67cce19d1505bd

Observation d01b0a2d-7ef1-4766-90dc-bef00019b8f2 · outbound

This paper cites Large population stochastic dynamic games: Closed-loop McKean–Vlasov systems and the Nash certainty equivalence prin- ciple.

A New Framework for Modelling Liquidity Pools as Mean Field Games Large population stochastic dynamic games: Closed-loop McKean–Vlasov systems and the Nash certainty equivalence prin- ciple

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.713673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:7a827e911d7f4f8df715433fb96ff02429284be05228eb0ff0b06e78e10dea7c

Observation 63bb89db-847c-4f22-a857-62c9ea94d2b3 · outbound

This paper cites Mean field games.

A New Framework for Modelling Liquidity Pools as Mean Field Games Mean field games

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:fe752b442f70b1ae65ed7341f4ceae8d7a6ac73aa308db85dc86c80bd78f0742

Observation 829ab1af-27bb-48b7-8cda-3daff01f92f5 · outbound

This paper cites Efficiency of the price for- mation process in presence of high frequency participants: a mean field game analysis.

A New Framework for Modelling Liquidity Pools as Mean Field Games Efficiency of the price for- mation process in presence of high frequency participants: a mean field game analysis

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.696169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:30e1954de35051e3bc6a02b44ed15de6c7e8316f48cd7ef5dd0d995f0b4350b1

Observation c64b4b40-1d43-4800-82f5-12c0ef03224b · outbound

This paper cites Meanfieldgamesandapplications.

A New Framework for Modelling Liquidity Pools as Mean Field Games Meanfieldgamesandapplications

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.684213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:df5bd96e809454c249ab5048d5328f8913932954643f82f3574bd60b2157fcd7

Observation ae508ce7-6e22-43c2-807c-1639e8bc3e68 · outbound

This paper cites Automated market maker and decentralized exchanges: a DeFi primer.

A New Framework for Modelling Liquidity Pools as Mean Field Games Automated market maker and decentralized exchanges: a DeFi primer

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.667595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:c871fdae6bfccd300e92cb15c73dd8b3dd2be0775d436376bec09024ade53b96

Observation 405349a9-a06a-4394-92b0-412f70bb1b2e · outbound

This paper cites On the existence of classical solutions for stationary extended mean field games.

A New Framework for Modelling Liquidity Pools as Mean Field Games On the existence of classical solutions for stationary extended mean field games

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.675671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:eab040b8e2931ac30db3008760d4e583e7e5f50f1f9535e62d051e73ffab70c5

Observation 1296d522-2889-41aa-8eac-10304148a213 · outbound

This paper cites Liquidity Pool Design on Automated Market Makers.

A New Framework for Modelling Liquidity Pools as Mean Field Games Liquidity Pool Design on Automated Market Makers

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:07:44.663567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T07:30:04.023801Z digest=sha256:a7eaee4155f1cdc5c7d1008cd732116c1744bb28a96be18dcad44c0c84d6eead

Pith citing papers

Observation f3ba6ab3-d9b9-44e4-a3ec-dd81d20993cb · inbound

Simultaneously decoding the unknown stationary state and function parameters for mean field games cites this paper.

Simultaneously decoding the unknown stationary state and function parameters for mean field games A New Framework for Modelling Liquidity Pools as Mean Field Games

Reference 56

Resolution
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local_arxiv, observed 2026-08-10T17:47:59.991229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T17:47:59.934187Z digest=sha256:8d1e03c68136c3e7f439105d2561e5c6af641e57cb7b13a86d5df5cb14acee95