Paper Citation Record · LEDGER

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective

As of 4 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2510.07478.

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

pith.paper-citation-record.v1
2510.07478 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:02:02.676066Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e252dd4b-9e8d-4d9a-9196-4a276f3bb68b · outbound

This paper cites an unresolved cited work.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.195618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8044fbfa-879e-4d0d-a1e1-6f8f85659cf2 · outbound

This paper cites This also implies that the above fixed point must be the unique fixed point of the system.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective This also implies that the above fixed point must be the unique fixed point of the system

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.350754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c472a775-d30c-4e50-b8eb-2748f636f092 · outbound

This paper cites So, we will first establish existence of a fixed point in the under-subscribed regime by Brouwer’s fixed point theorem (Lemma 2).

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective So, we will first establish existence of a fixed point in the under-subscribed regime by Brouwer’s fixed point theorem (Lemma 2)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.781380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfe73a9a-447d-47ec-a38f-b5c31f8efae2 · outbound

This paper cites doi: 10.1111/j.1740-9713.2016.00960.x.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective doi: 10.1111/j.1740-9713.2016.00960.x

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.047590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bb48ea9-f554-43b4-b96d-08aeb2ec7bd8 · outbound

This paper cites an unresolved cited work.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.481712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c373a357-c068-46f3-a7f1-51f1a2264c35 · outbound

This paper cites This should immediately imply that the above fixed point is the unique fixed point of the system whenϵ≥˜ϵ(Lemma 1).

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective This should immediately imply that the above fixed point is the unique fixed point of the system whenϵ≥˜ϵ(Lemma 1)

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.664029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5b97940-6e61-4b8c-8c84-d20b529693fe · outbound

This paper cites an unresolved cited work.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:01.963969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da4451c7-811b-4320-9235-5cae70a4ceb0 · outbound

This paper cites We have already argued thatx A(t) +xB(t)≥2α=⇒ xA(t+ 1) +x B(t+ 1)≥2α.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective We have already argued thatx A(t) +xB(t)≥2α=⇒ xA(t+ 1) +x B(t+ 1)≥2α

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.094288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d0ac055-b0b3-4069-bc68-cd175cc8cceb · outbound

This paper cites We have already shown that by choosingnlarge enough,x B(t+n) can be made arbitrarily small.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective We have already shown that by choosingnlarge enough,x B(t+n) can be made arbitrarily small

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.222568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcfb469c-4307-4ef4-8734-3fb1eeb75f40 · outbound

This paper cites an unresolved cited work.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.328760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aced7f7-6321-4ace-be95-4b37225fed88 · outbound

This paper cites 3.g(y) attains its minimum value aty= 1 +αp.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective 3.g(y) attains its minimum value aty= 1 +αp

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.400977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d7f9caf-7ed1-4602-9967-39c863c404e5 · outbound

This paper cites an unresolved cited work.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.461003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40409dbc-c2b4-46d9-858c-4c7e12f6cc47 · outbound

This paper cites Recall that we have already shown (in the proof for Lemma 2) that once the system reachesU ≥, it will continue to remain there at all future time points.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Recall that we have already shown (in the proof for Lemma 2) that once the system reachesU ≥, it will continue to remain there at all future time points

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.583326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71045834-4a66-485b-a579-854a22dced47 · outbound

This paper cites Starting at any point inO, the system always reachesU ≥.First we will show that starting at any point inO, the systemcannotstay inOindefinitely.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Starting at any point inO, the system always reachesU ≥.First we will show that starting at any point inO, the systemcannotstay inOindefinitely

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:02.676066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 522f13a1-486e-44b9-ba59-2a4be1a20d0a · outbound

This paper cites doi: 10.2139/ssrn.2477899.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective doi: 10.2139/ssrn.2477899

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:00.580530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d1a701a-84bb-44ae-9b1c-4f07570f9451 · outbound

This paper cites URLhttp://journal.frontiersin.org/Article/ 10.3389/fnbeh.2015.00015/abstract.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective URLhttp://journal.frontiersin.org/Article/ 10.3389/fnbeh.2015.00015/abstract

Reference 5153

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:00.730979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efc1d068-75c3-417c-a434-8be9ac40c59b · outbound

This paper cites Augmenting Holistic Review in University Admission using Natural Language Processing for Essays and Recommendation Letters.

Fixed Points and Stochastic Meritocracies: A Long-Term Perspective Augmenting Holistic Review in University Admission using Natural Language Processing for Essays and Recommendation Letters

Reference 8969

Resolution: metadata mismatch; local_arxiv, observed 2026-08-04T11:04:47.734749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

No inbound Pith citation observations are available.