Paper Citation Record · LEDGER

Monotone Contractions

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2411.10107.

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

pith.paper-citation-record.v1
2411.10107 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:06:01.776561Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:33:30.893190Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy23
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

Observation 9c9b8fc2-4d4f-451d-aa8c-a4d3600c0407 · outbound

This paper cites Sur les opérations dans les ensembles abs traits et leur application aux équations intégrales.

Monotone Contractions Sur les opérations dans les ensembles abs traits et leur application aux équations intégrales

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.274374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f22c68f-08f5-4609-8fca-5161571ee2a7 · outbound

This paper cites Boonyasiriwat, Kris Sikorski, and Ch.

Monotone Contractions Boonyasiriwat, Kris Sikorski, and Ch

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.256050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e0a4853-2138-4ad0-901a-ff21795efd13 · outbound

This paper cites Improved upper bounds for ﬁnding Tar ski ﬁxed points.

Monotone Contractions Improved upper bounds for ﬁnding Tar ski ﬁxed points

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.234058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65a6495a-3ad4-4174-a32f-aed83fe184cc · outbound

This paper cites Reducing Tars ki to unique Tarski (in the black-box model).

Monotone Contractions Reducing Tars ki to unique Tarski (in the black-box model)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.219565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a4caa194-056b-45ac-82b3-fa6879de9840 · outbound

This paper cites Computing a ﬁx ed point of contraction maps in polynomial queries.

Monotone Contractions Computing a ﬁx ed point of contraction maps in polynomial queries

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.204382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc866386-1128-42c4-aed1-6442afbf3bf5 · outbound

This paper cites Computations and Complexities of Tarski's Fixed Points and Supermodular Games.

Monotone Contractions Computations and Complexities of Tarski's Fixed Points and Supermodular Games

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T20:06:01.665996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebef1b5e-38ad-45f9-aa8d-3eeb89369c7b · outbound

This paper cites Papadimitriou.

Monotone Contractions Papadimitriou

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.186165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b591491a-3571-44b5-9aae-4eb58461c014 · outbound

This paper cites A Converse to Banach’s Fixed Point Theorem and its CLS Completeness.

Monotone Contractions A Converse to Banach’s Fixed Point Theorem and its CLS Completeness

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.169298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e9a13cd-1d63-4a70-a7a7-d059eb0cccd2 · outbound

This paper cites Papadimitriou, A viad Rubi nstein, and Mihalis Yannakakis.

Monotone Contractions Papadimitriou, A viad Rubi nstein, and Mihalis Yannakakis

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.153861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29e2bf21-a681-42ec-a264-fe643f7f0656 · outbound

This paper cites On the complex ity of nash equilibria and other ﬁxed points.

Monotone Contractions On the complex ity of nash equilibria and other ﬁxed points

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.140968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3f72d717-1676-4cfb-b389-2aa67d18316a · outbound

This paper cites The complexity of gradient descent: CLS = PPAD ∩ PLS.

Monotone Contractions The complexity of gradient descent: CLS = PPAD ∩ PLS

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.125685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ad044b58-da4c-4e97-926d-a283c03bbac2 · outbound

This paper cites CLS: New Problems and Completeness.

Monotone Contractions CLS: New Problems and Completeness

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:06:01.856499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8b104992-c48a-4606-ae08-3a5138597df1 · outbound

This paper cites Unique End of Potential Line.

Monotone Contractions Unique End of Potential Line

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T20:06:01.708958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6658dff6-0811-4563-a0d6-79b613343db2 · outbound

This paper cites Unique end of potential line.

Monotone Contractions Unique end of potential line

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.111272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d4019eef-0436-4189-8c69-af2aef6f0366 · outbound

This paper cites A f aster algorithm for ﬁnding Tarski ﬁxed points.

Monotone Contractions A f aster algorithm for ﬁnding Tarski ﬁxed points

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.096946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10a875a5-357d-468e-8c27-5dd3179bda8a · outbound

This paper cites Tsi- garidas.

Monotone Contractions Tsi- garidas

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.080418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7708438-6fa0-41cb-8540-d3cd0ab7d434 · outbound

This paper cites Exact Algorithms for Solving Stochastic Games.

Monotone Contractions Exact Algorithms for Solving Stochastic Games

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T20:06:01.726432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4914019-5a95-4105-a3f5-fd7d25735052 · outbound

This paper cites Huang, Leonid G.

Monotone Contractions Huang, Leonid G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.062270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d5f15ee0-35d8-46ea-a871-e8b492b81e02 · outbound

This paper cites Prism-games 3.0: Stochas- tic game veriﬁcation with concurrency, equilibria and time.

Monotone Contractions Prism-games 3.0: Stochas- tic game veriﬁcation with concurrency, equilibria and time

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.046226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ab5c906-1332-4a50-9d45-cf99d81ca613 · outbound

This paper cites New algorithms for solving zero-s um stochastic games.

Monotone Contractions New algorithms for solving zero-s um stochastic games

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:02.031006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 97e390f1-07fb-40b2-a419-40ea85d4652c · outbound

This paper cites an unresolved cited work.

Monotone Contractions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:06:02.013495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82c666ea-3616-4f93-99ce-21cd999d21d8 · outbound

This paper cites Shellman and Christopher (Krzysztof) Sikor ski.

Monotone Contractions Shellman and Christopher (Krzysztof) Sikor ski

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.995777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a62c2321-d897-45ee-ad97-7b7dc15101d7 · outbound

This paper cites Shellman and Kris Sikorski.

Monotone Contractions Shellman and Kris Sikorski

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.979225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9b72ab0-a926-4727-806f-bd833fa3e7d3 · outbound

This paper cites Shellman and Kris Sikorski.

Monotone Contractions Shellman and Kris Sikorski

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.961215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation adaa956c-cbab-4908-b2f9-00508b3f268d · outbound

This paper cites Shellman and Kris Sikorski.

Monotone Contractions Shellman and Kris Sikorski

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.937889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b488173-43dd-42f0-93ce-5559384768c3 · outbound

This paper cites Computational complexity of ﬁxed points.

Monotone Contractions Computational complexity of ﬁxed points

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.922140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 00b21015-6e5d-4cb8-9201-0342f74fd0e3 · outbound

This paper cites Stochastic games.

Monotone Contractions Stochastic games

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.903608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03f99fda-1f8c-44c5-b58d-2038d86b9867 · outbound

This paper cites A lattice-theoretical ﬁxpoint theorem and its applications.

Monotone Contractions A lattice-theoretical ﬁxpoint theorem and its applications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:06:01.885473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 1536dc57-9e67-4e6f-8ebb-aed9737d1f76 · inbound

ARRIVAL: Recursive Framework & $\ell_1$-Contraction cites this paper.

ARRIVAL: Recursive Framework & $\ell_1$-Contraction Monotone Contractions

Reference 1922

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T15:33:31.495476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.