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Paper Citation Record · LEDGER

Proportional Response Dynamics in Gross Substitutes Markets

As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2506.02852.

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

pith.paper-citation-record.v1
2506.02852 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:27:41.798389Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:46:28.599275Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:56:24.042275Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact4
  • verified fuzzy4
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43a3bac4-b4a1-45f7-9964-bcb276427552 · outbound

This paper cites an unresolved cited work.

Proportional Response Dynamics in Gross Substitutes Markets Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.600033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.600033Z digest=sha256:380beea9ae8f15aa31df8a738fc3094f0f33f7e6d5fd37d73f22f12d3b5c1c77

Observation 9812befa-b11c-469e-bea2-8e1058ad848b · outbound

This paper cites URL https://doi.org/10.4230/LIPIcs.ESA.2018.18.

Proportional Response Dynamics in Gross Substitutes Markets URL https://doi.org/10.4230/LIPIcs.ESA.2018.18

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.815285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.815285Z digest=sha256:17487da0930047e20a4a3f647cb5750272b0b270534df3ab971f84f19d6f4cd2

Observation 12f68912-9de6-4a1d-bc1c-bdc4604b09ff · outbound

This paper cites URLhttps: //doi.org/10.24963/ijcai.2021/16.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps: //doi.org/10.24963/ijcai.2021/16

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T11:27:42.092246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.040443Z digest=sha256:b69b33f32c2170ea3e54f41a19819734913352c807c54e07e6c348cd52d31adc

Observation fa42375a-b152-4f1f-aa72-b44ad2ed004d · outbound

This paper cites doi: 10.1145/1402946.1402987.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/1402946.1402987

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T11:27:42.625562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.330642Z digest=sha256:712d9e9c6e6327701872238d45090ddb106aafce601822552c9170232613fbc1

Observation 848e6339-4e6b-454f-907b-4a0a385b982f · outbound

This paper cites URLhttps://www.jstor.org/stable/ 1907539.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps://www.jstor.org/stable/ 1907539

Reference 19

Resolution
verified exact
doi, observed 2026-08-07T11:27:41.933633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.371752Z digest=sha256:4718cd7f2fe5502db1c34e9b7033b96942f8c681677f64665b1cf52fe4ff8d12

Observation b79981fc-a94a-45cd-b39d-845e7b892802 · outbound

This paper cites URLhttps://www.jstor.org/stable/1907777.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps://www.jstor.org/stable/1907777

Reference 20

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:27:42.454017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.480657Z digest=sha256:fc5eb1d55abfea8533f2d173dc6fe412932f3808d00ec723313a260b687ef67e

Observation 990daf22-95bc-4660-acc5-c06544ce1609 · outbound

This paper cites Stability and efficiency of personalised cultural markets.

Proportional Response Dynamics in Gross Substitutes Markets Stability and efficiency of personalised cultural markets

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:27:43.832366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.684446Z digest=sha256:c2d41a9c0ad8a0ec448c706caa4ddf4d00200bd9d47fb692d6a762a64f9f7cf2

Observation 5f8f101a-7acc-4006-abc5-fc531dd8c130 · outbound

This paper cites Fang Wu and Li Zhang.

Proportional Response Dynamics in Gross Substitutes Markets Fang Wu and Li Zhang

Reference 1874

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:27:44.004667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:41.582444Z digest=sha256:eeceabef1ae7ec2be3331be7333edad4c2c9f4bf48ca69326e618104acdeb244

Observation 9e3cd967-bf2f-41ed-ad52-1e2c66a8d95d · outbound

This paper cites Kenneth J.

Proportional Response Dynamics in Gross Substitutes Markets Kenneth J

Reference 1954

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:39.936726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:39.936726Z digest=sha256:087a04fe64e58981ed1e8125a30cd3a8865d84df0c80c578c070ed30a76543f4

Observation 5cc129e9-7680-4c3f-8c05-ce0dc2efbd88 · outbound

This paper cites URLhttps://www.jstor.org/stable/1907515.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps://www.jstor.org/stable/1907515

Reference 1958

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:27:43.721324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:39.965188Z digest=sha256:41e7718557a007683495466911f22d21f59dc2f1e4c2aefcd159deb47327d32c

Observation 91b4b641-66b5-4ec1-9e34-8eb678b1f5c1 · outbound

This paper cites Market equilibrium via the excess demand function.

Proportional Response Dynamics in Gross Substitutes Markets Market equilibrium via the excess demand function

Reference 2004

Resolution
malformed identifier
no resolver link, observed 2026-08-07T11:27:41.103436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:41.103436Z digest=sha256:ba75628e129a9fec23d252f09e2da9f533229fe252190055320c0e40759d2e07

Observation efadde2a-3e98-40ea-a091-424c5ba65191 · outbound

This paper cites doi: 10.1145/1250790.1250844.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/1250790.1250844

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:41.628146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:41.628146Z digest=sha256:5bf0ce52da1bf402d6682a4ee7309b332dc0b9ec280bf92429da051f3793988d

Observation 2596883e-7f79-4de9-b559-dbbfe1c07f96 · outbound

This paper cites doi: 10.1145/1374376.1374422.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/1374376.1374422

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:41.186433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:41.186433Z digest=sha256:d14fa5d4e02124f616b787af6a561ac9f3ec7f0848ada93d185b8e8c4d3f2c85

Observation eb9302bf-1b75-476a-b4b0-f65d04921f1d · outbound

This paper cites Xi Chen, Dimitris Paparas, and Mihalis Yannakakis.

Proportional Response Dynamics in Gross Substitutes Markets Xi Chen, Dimitris Paparas, and Mihalis Yannakakis

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.690047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.690047Z digest=sha256:0eb88bbe7c670a0ff572daf6346738a4b23694f1371adcc8d7a170196144bf76

Observation 1fa8f706-29a2-48d5-979b-b2c080eb575f · outbound

This paper cites doi: 10.1145/1993574.1993594.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/1993574.1993594

Reference 2011

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T11:27:43.347610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:40.229561Z digest=sha256:983e90f2e91bcf4f93173646cc07cfabe4457ab9e2f64458aee05f3b34677b26

Observation b7ab4989-e9be-4532-82c6-5c72155073c4 · outbound

This paper cites doi: 10.1145/2229012.2229039.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/2229012.2229039

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.865695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.865695Z digest=sha256:67f13e31c53548280a4d7d8323be04794115efb9b9e86c40d62b722a2394c3e1

Observation 328754f4-870d-44f8-a5b1-e9c05d7911f7 · outbound

This paper cites doi: 10.1145/2488608.2488633.

Proportional Response Dynamics in Gross Substitutes Markets doi: 10.1145/2488608.2488633

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.948536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.948536Z digest=sha256:a3b17a07ec87486ae2c4971e298bd22693dca61d1bc3c4baa91402b28eb5f903

Observation 5949af78-3147-4687-8341-82b0581f60a1 · outbound

This paper cites Convergence of T\^atonnement in Fisher Markets.

Proportional Response Dynamics in Gross Substitutes Markets Convergence of T\^atonnement in Fisher Markets

Reference 2014

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T11:27:43.453677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:40.151731Z digest=sha256:3a592e26d92189139e66102bf174a5041823302a760068eb51ce9337ffe396c4

Observation 69f5f0c3-9902-4fe7-8e5d-2ce928d01535 · outbound

This paper cites Yukun Cheng, Xiaotie Deng, Yuhao Li, and Xiang Yan.

Proportional Response Dynamics in Gross Substitutes Markets Yukun Cheng, Xiaotie Deng, Yuhao Li, and Xiang Yan

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:40.718901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:40.718901Z digest=sha256:e9892ac7a3d328a005b697307c15e049036d4bfb701d70efb4a91781e6423a15

Observation c41c9e9a-09b7-4486-9571-f5dfef4ff992 · outbound

This paper cites Simina Brˆ anzei, Nikhil R.

Proportional Response Dynamics in Gross Substitutes Markets Simina Brˆ anzei, Nikhil R

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:27:44.293045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:40.502582Z digest=sha256:76279cecae7c5c27ba7bf133c5f1f6d414879673275faa7f407b2f0b4b681f98

Observation d052b68c-029c-4486-9d4d-efe23a6bab23 · outbound

This paper cites URLhttps://doi.org/10.1145/3505156.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps://doi.org/10.1145/3505156

Reference 2021

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T11:27:43.158596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:40.341737Z digest=sha256:a41a7b729aac84c4e9ce080167d7f5bc5c6c932eb96f0a64ba4bb02bdef22369

Observation faab4b0a-8e60-4c9d-8f92-e1bdd100e696 · outbound

This paper cites URLhttps://doi.org/10.1145/3543507.3583315.

Proportional Response Dynamics in Gross Substitutes Markets URLhttps://doi.org/10.1145/3543507.3583315

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T11:27:41.798389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:27:41.798389Z digest=sha256:b438534bc44379daa75b4969b21f3a175fe28afce420f4c9ac7095eebb303c86

Observation 846a0e2e-8496-4828-b8c7-9c4e65c0f0c7 · outbound

This paper cites Amortized analysis of asynchronous price dynamics.

Proportional Response Dynamics in Gross Substitutes Markets Amortized analysis of asynchronous price dynamics

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:27:44.145795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:27:40.773953Z digest=sha256:e48f8ff9859e42ca2addd8b8ff3ed1c55de28f02bdbd83860a4a16f6cff14610

Pith citing papers

Observation 28abaffc-83d7-4f00-8ef4-05858de9c7cb · inbound

A Linearly Convergent Algorithm for Computing the Petz-Augustin Mean cites this paper.

A Linearly Convergent Algorithm for Computing the Petz-Augustin Mean Proportional Response Dynamics in Gross Substitutes Markets

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-08T15:46:28.599275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T15:46:28.599275Z digest=sha256:8137e8b4a23fd7ae35fac096b1625e3781f47d3cf13a84014cd462da93981799

Observation f52466e0-2497-45c3-9694-4752cf4218f9 · inbound

Fully Distributed T\^atonnement for Chores Markets cites this paper.

Fully Distributed T\^atonnement for Chores Markets Proportional Response Dynamics in Gross Substitutes Markets

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:56:24.044346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-02T00:56:19.792449Z digest=sha256:796446acc8aa24062d1b9c5fa52527cb03190d19ee8aeea2401a925ed8f8e842