Paper Citation Record · LEDGER

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching

As of 18 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.11456.

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

pith.paper-citation-record.v1
2505.11456 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:05:39.461718Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

39 of 39 outbound references displayed

verified exact11
verified fuzzy11
unresolved9
parse uncertain0
malformed identifier7
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b85a2e0c-8bf2-465f-bbc5-5a479d7ecde9 · outbound

This paper cites “Almost stable.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching “Almost stable

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.095370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 01152015-ffd0-47d2-9f3c-d379fa4728f3 · outbound

This paper cites On a lemma of Scarf.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching On a lemma of Scarf

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.161971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2f1e380-47de-47b4-abd5-f5b669ada113 · outbound

This paper cites Manipulating the outcome of stable marriage and roommates problems.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Manipulating the outcome of stable marriage and roommates problems

Reference 3

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.717162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a4e17428-2472-4c14-8c48-dc366cf546de · outbound

This paper cites The stable matching problem and its generalizations: an algorithmic and game theoretical approach.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching The stable matching problem and its generalizations: an algorithmic and game theoretical approach

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.081432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 708dd408-ad35-4dba-ad5e-6249e4c58790 · outbound

This paper cites The dynamics of stable matchings and half- matchings for the stable marriage and roommates problems.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching The dynamics of stable matchings and half- matchings for the stable marriage and roommates problems

Reference 5

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.702404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b1d7a23-dfeb-416f-a150-465af6f6a3f7 · outbound

This paper cites Fractional solutions for capacitated NTU-games, with applications to stable matchings.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Fractional solutions for capacitated NTU-games, with applications to stable matchings

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-08-15T21:05:39.181839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75948583-3fa5-4738-93ac-14c5786c99a6 · outbound

This paper cites The integral stable allocation problem on graphs.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching The integral stable allocation problem on graphs

Reference 7

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.677065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a8f8e347-24d8-43e2-b25b-1872668dbb2c · outbound

This paper cites Rotations in the stable b-matching problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Rotations in the stable b-matching problem

Reference 8

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.661271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d383a92e-ac85-412f-9d78-6b869f79c868 · outbound

This paper cites The Stable Multiple Activities Problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching The Stable Multiple Activities Problem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.067040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 06ab7c2d-4cb1-4134-8dfc-0ae477030780 · outbound

This paper cites On a generalization of the stable roommates problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching On a generalization of the stable roommates problem

Reference 10

Resolution: metadata mismatch; raw_fallback, observed 2026-08-15T21:05:39.884970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7f108e38-45f7-4a4b-bfd3-513ac2d5df67 · outbound

This paper cites How hard is it to satisfy (almost) all roommates?.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching How hard is it to satisfy (almost) all roommates?

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-15T21:05:39.208537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cef50c6d-3f52-494f-a3dc-446540aa05a1 · outbound

This paper cites Control in Stable Marriage and Stable Roommates: Complexity and Algorithms.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Control in Stable Marriage and Stable Roommates: Complexity and Algorithms

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:05:39.806377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ac424aa7-1818-4f8a-b109-a09ee911d76c · outbound

This paper cites Near-Feasible Solutions to Complex Stable Matching Problems.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Near-Feasible Solutions to Complex Stable Matching Problems

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:05:39.783903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 69672f17-b311-4d76-bcd2-0c0cf4862ec1 · outbound

This paper cites Couples Can Be Tractable: New Algorithms and Hardness Results for the Hospitals/Residents Problem with Couples.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Couples Can Be Tractable: New Algorithms and Hardness Results for the Hospitals/Residents Problem with Couples

Reference 14

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.636392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c5522931-8d24-42a7-b962-349cdb36bb76 · outbound

This paper cites PuLP: A Linear Programming Toolkit for Python.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching PuLP: A Linear Programming Toolkit for Python

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.052645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 965e1823-5422-4a8a-b132-6c4cac110637 · outbound

This paper cites A Fixed-Point Approach to Stable Matchings and Some Applications.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching A Fixed-Point Approach to Stable Matchings and Some Applications

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.038402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 464c64f3-0392-4629-8b9a-e946c511ee48 · outbound

This paper cites Fixed points and choices: stable marriages and beyond.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Fixed points and choices: stable marriages and beyond

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:40.023253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8b530b9-6aeb-450e-9998-3cf310304316 · outbound

This paper cites an unresolved cited work.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:05:40.008047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7ad703d-1c15-476c-9900-dac4e2ca2b39 · outbound

This paper cites Stable matchings through fixed points and graphs.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Stable matchings through fixed points and graphs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:39.991172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0df52a6f-2648-4b6c-98dd-3e5bdc5c3450 · outbound

This paper cites College Admissions and the Stability of Marriage.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching College Admissions and the Stability of Marriage

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.362728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb8b8de0-f47f-4176-a15b-035d062d3801 · outbound

This paper cites Glitzner.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Glitzner

Reference 21

Resolution: malformed identifier; no resolver link, observed 2026-08-15T21:05:39.372164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5222cf0-377e-4378-bd89-eb061a231246 · outbound

This paper cites Glitzner and D.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Glitzner and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:39.976985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 23051f27-ef55-409b-847e-bd3e738a40b6 · outbound

This paper cites Structural and Algorithmic Results for Stable Cycles and Partitions in the Roommates Problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Structural and Algorithmic Results for Stable Cycles and Partitions in the Roommates Problem

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T21:05:39.962882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bea08081-4482-4d4c-bb66-0ebed1b910a9 · outbound

This paper cites Structural and Algorithmic Results for Stable Cycles and Partitions in the Roommates Problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Structural and Algorithmic Results for Stable Cycles and Partitions in the Roommates Problem

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:05:39.748117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a5da46d-a3b5-4d36-924c-3020a43e275d · outbound

This paper cites Gurobi Optimizer Reference Manual.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Gurobi Optimizer Reference Manual

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:39.948369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cdd9c610-f430-4ecb-8c6f-2b3ba8fdcfb6 · outbound

This paper cites Gusfield and R.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Gusfield and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:39.933323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68bf07a6-3452-4e6d-9543-53cb436ecf76 · outbound

This paper cites an unresolved cited work.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.602059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 709a2605-3081-4f0a-b681-26c5f31cf177 · outbound

This paper cites An efficient algorithm for the “stable roommates.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching An efficient algorithm for the “stable roommates

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.414596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da081881-990f-4f22-b86a-898e9cfa8d4a · outbound

This paper cites The stable fixtures problem—A many-to-many extension of stable roommates.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching The stable fixtures problem—A many-to-many extension of stable roommates

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.419130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a8a93e8-e1e2-48fd-a8b4-3cbb9f7c0f57 · outbound

This paper cites an unresolved cited work.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Unresolved cited work

Reference 30

Resolution: malformed identifier; no resolver link, observed 2026-08-15T21:05:39.423641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b83b8906-f17b-457a-bf1f-e27e6357064f · outbound

This paper cites Random stable matchings.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Random stable matchings

Reference 31

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.553112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 170458b2-fd09-4b4e-87ab-a578f49781a8 · outbound

This paper cites Near-Feasible Stable Matchings with Couples.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Near-Feasible Stable Matchings with Couples

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.432796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab9a6a00-61f5-4f25-a4b0-316f8e7d7112 · outbound

This paper cites An upper bound for the solvability probability of a random stable roommates instance.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching An upper bound for the solvability probability of a random stable roommates instance

Reference 33

Resolution: verified exact; doi, observed 2026-08-15T21:05:39.528607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9076a046-ddc7-4e3c-8764-c280ac8d7937 · outbound

This paper cites NP-complete stable matching problems.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching NP-complete stable matching problems

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.442271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00fd5488-2a36-4f5b-b4e7-9d78af35f594 · outbound

This paper cites On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets

Reference 35

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T21:05:39.917461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 10a31d00-09f8-44fd-b066-309dec40eb83 · outbound

This paper cites A necessary and sufficient condition for the existence of a complete stable matching.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching A necessary and sufficient condition for the existence of a complete stable matching

Reference 36

Resolution: malformed identifier; no resolver link, observed 2026-08-15T21:05:39.452147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccec17a0-2e4c-4255-b97a-7c771098aebf · outbound

This paper cites Stable matchings and stable partitions.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Stable matchings and stable partitions

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.456747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21eed98e-3a44-4b5b-bfeb-0d216e1f0a56 · outbound

This paper cites LP based approach to optimal stable matchings.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching LP based approach to optimal stable matchings

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:05:39.902034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation edc1b1b0-712d-4315-bfa0-291d64f7a47d · outbound

This paper cites Perspectives on Unsolvability in the Roommates Problem.

Unsolvability and Beyond in Many-To-Many Non-Bipartite Stable Matching Perspectives on Unsolvability in the Roommates Problem

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-15T21:05:39.382675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.