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Paper Citation Record · LEDGER

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2501.01660.

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

pith.paper-citation-record.v1
2501.01660 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:34:43.168532Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ac3eff1-b8ed-4c6f-aed1-eb86de785a24 · outbound

This paper cites Voudouris, and Xiaowei Wu.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Voudouris, and Xiaowei Wu

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.488028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.077177Z digest=sha256:90dcc45654a035fe490fd55589ba52f33d1f8584c5614a0c8787b979ba2c9bbd

Observation 1dc2fff4-3dc8-4185-af94-b5b8706d46bf · outbound

This paper cites Fair division under cardinality constraints.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Fair division under cardinality constraints

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.475095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.081779Z digest=sha256:eec4a5b71b8591f97f8a9c7495fce0b8ebeac0baf0cbd2ce273d370c95f5317a

Observation 990e5d15-fe6d-4397-9b43-de3fae0006eb · outbound

This paper cites Optimal bounds on the price of fairness for indivisible goods.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Optimal bounds on the price of fairness for indivisible goods

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.462550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.086545Z digest=sha256:bf7dde41e8ef596f7228c3650d0fd01c866461d58ea8e250a95da4f7f3fcdcf4

Observation 742d59ec-b0db-4b18-b821-a77977bcf720 · outbound

This paper cites Fair division of a graph.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Fair division of a graph

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.450336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.090730Z digest=sha256:c784ac18a5ee1e7307d71b39ad8461a0d558c2cf758fa3fc27d9e7bb64c62445

Observation 9c1d7bb6-e826-47be-8739-bf096530d0c8 · outbound

This paper cites Welfare loss in connected resource allocation.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Welfare loss in connected resource allocation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.438465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.095724Z digest=sha256:50ee847da3fac8e9bc3538fc5a8521fbf563666e5f516b879bae08dbef698287

Observation a34492ca-8c8c-45a6-96ca-caa536895ec4 · outbound

This paper cites The price of fairness for indivisible goods.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective The price of fairness for indivisible goods

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.427173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.099817Z digest=sha256:c382990fbfbdeda06ffbd0c6388b3f8511d696eebddf0486ffc9c382bc2e33dd

Observation 93945fd6-a91c-4fc3-a9f9-646879f52ab6 · outbound

This paper cites The efficiency of fair division.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective The efficiency of fair division

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.415016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.104248Z digest=sha256:f86acc4eeb3fd9483cf2ebcfae02948df22e8f097ec4db303ee9201775fbbdf7

Observation 3e496846-8780-4614-8cc6-731c28ec27c8 · outbound

This paper cites Mind the gap: Cake cutting with separation.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Mind the gap: Cake cutting with separation

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.402449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.108985Z digest=sha256:a52270e87081aec9b0a141b76c877080ebcc004b0e64d8ccedc4e5d01d018df3

Observation e288882b-b832-429d-af8e-fd2e82f39c63 · outbound

This paper cites Puzzle-Math.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Puzzle-Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.389473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.112717Z digest=sha256:a34e1f948c1f7032abca3d8c5710e18e9480bfcbd773b4b6855ea8ec48d6fa69

Observation b8fbf77c-f15b-4fe5-ac04-6ffb6265ef21 · outbound

This paper cites Guaranteeing half-maximin shares under cardinality constraints.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Guaranteeing half-maximin shares under cardinality constraints

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.376551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.116016Z digest=sha256:a089b1782bb266a736f60c40176495687424401aeaab0ef07ea5620ca20d1875

Observation a9978ec4-2dd8-4db3-9b67-5e9e09984f31 · outbound

This paper cites an unresolved cited work.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:34:43.363278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.119397Z digest=sha256:324d5edcc82738e22ade8cdb7c29875e3d8cf8e18a0748ec1206e5807a06220f

Observation c93477d9-be86-4219-bcd3-a24e107c18ca · outbound

This paper cites an unresolved cited work.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:34:43.350809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.122892Z digest=sha256:b947c63b46fceef1f251d5c7e7ef66b585ebfc27b52f6297f4e30d0f31b44970

Observation bd54858d-6a40-47f3-b01f-53a2ff0a17ec · outbound

This paper cites A complete landscape for the price of envy-freeness.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective A complete landscape for the price of envy-freeness

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.338727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.126338Z digest=sha256:1bdab5dcc874f257e4e312c384cd6331eeb555cc3ce5693719e26ea15bc56605

Observation f54a62e0-ec14-4d30-bdd7-d99140db89f9 · outbound

This paper cites Almost (weighted) proportional allocations for indivisible chores.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Almost (weighted) proportional allocations for indivisible chores

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.326030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.129665Z digest=sha256:cf5fc38ba68d4dd28bf19a106e233e30f2cc3137093ccdcf372d1b21e97a1396

Observation 00724a59-e7da-4d39-9488-312c90abfb80 · outbound

This paper cites Equitability and welfare maximization for allocating indivisible items.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Equitability and welfare maximization for allocating indivisible items

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.311316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.132940Z digest=sha256:d9c30de03fadd12f00895e03c1515584fc09e23bc0fecb137d679652cdd144ca

Observation 38bef5f1-4685-41fc-b8fe-666a93c7c1fb · outbound

This paper cites Fairness criteria for allocating indivisible chores: connections and efficiencies.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Fairness criteria for allocating indivisible chores: connections and efficiencies

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.298238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.136149Z digest=sha256:8cbd9fd86fd9954dd028aca70e9f65534588ed6da556e8960ef2ef687faed6b0

Observation d9a7cbb9-aa9d-4975-9ddf-04d1a94f2287 · outbound

This paper cites Fair and square: Cake-cutting in two dimensions.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Fair and square: Cake-cutting in two dimensions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.285793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.140154Z digest=sha256:ddfbe27861031215f894a796b4bef5b4dab29becfe0f29bde63852872e8981e9

Observation efb20c27-929e-49c7-99c6-9429a7fb61b4 · outbound

This paper cites On the price of fairness in the connected discrete cake cutting problem.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective On the price of fairness in the connected discrete cake cutting problem

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.271675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.144019Z digest=sha256:d796379ebfe7ac6efcf26d0113609d7f7aaa739c847f42273a4d435482c7ac24

Observation 19859831-ab01-485f-a03c-a6f7fa0f2257 · outbound

This paper cites Allocating contiguous blocks of indivisible chores fairly: Revisited.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Allocating contiguous blocks of indivisible chores fairly: Revisited

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.259268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.148806Z digest=sha256:aa54f6070fbcf9e586bc0bbd33f59f7def9ba39d45832a5ab5c3226c8b436ce4

Observation 6aaed247-b7fe-4e2e-9973-ca4034ac0bb6 · outbound

This paper cites The problem of fair division.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective The problem of fair division

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T22:34:43.153147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:34:43.153147Z digest=sha256:5bb7eb828ca845e5ce257a2ab2b99c8883ae7d34c0830aa74806c7bf29b7f541

Observation 2c8a522e-f5c5-4222-ba58-b7c556539db8 · outbound

This paper cites Constraints in fair division.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Constraints in fair division

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.238065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.157162Z digest=sha256:33411d46481b133503e1be57b310c074c239d25138bdd4e6c14b6996be0f0d4a

Observation 5312d745-de1b-4493-8075-c81dd5118bba · outbound

This paper cites an unresolved cited work.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:34:43.226592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.160985Z digest=sha256:f892421d9e1565f4cc5705aaa4eb105ab6fcd4fde4ee08654dae4ec857f7643d

Observation e032eded-609e-4a95-9b62-66af92c3c07d · outbound

This paper cites Fair division: The computer scientist's perspective.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Fair division: The computer scientist's perspective

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.214396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.164734Z digest=sha256:f5b7a5d085940cfc81909540fc936b693ee198849ced0be75ccc4e85702a0bdb

Observation 074735cd-0ff9-451b-af2a-3f21e5e8d7ed · outbound

This paper cites Budget-feasible maximum nash social welfare is almost envy-free.

The (Exact) Price of Cardinality for Indivisible Goods: A Parametric Perspective Budget-feasible maximum nash social welfare is almost envy-free

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:34:43.201069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:34:43.168532Z digest=sha256:1f687c46857f95a530007e2ad04818e8bcc2e263050a6d09803772c0c2d7ad20

Pith citing papers

No inbound Pith citation observations are available.