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Paper Citation Record · LEDGER

Achieving Equitability with Subsidy

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2505.23251.

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

pith.paper-citation-record.v1
2505.23251 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:06:34.307184Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved0
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fafe3df0-01c6-4fc5-88f8-a447e4979d1f · outbound

This paper cites Fair allocation of indivisible goods and criteria of justice.

Achieving Equitability with Subsidy Fair allocation of indivisible goods and criteria of justice

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.903016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.588783Z digest=sha256:b1963307390232c1ba83cf1844aef375bb57d6a35cc11eddfd347c55747ddf14

Observation c3b55ee3-c121-4531-887d-01efee161913 · outbound

This paper cites Achieving envy-freeness and equitability with monetary transfers.

Achieving Equitability with Subsidy Achieving envy-freeness and equitability with monetary transfers

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.733984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.674645Z digest=sha256:e5b8e0837f15e08d549cdf72567bd43c5323c34b44b6956d3393e4c2491dc627

Observation 8a60d455-e2f9-432d-ae24-4cd12b6397e4 · outbound

This paper cites Achieving envy-freeness with limited subsidies under dichotomous valuations.

Achieving Equitability with Subsidy Achieving envy-freeness with limited subsidies under dichotomous valuations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.553924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.787651Z digest=sha256:c29b9114c697bb57157def3f7d2e2594e2aa89dad916f8758d664f1ff19aa646

Observation e2929ed8-14ea-49e7-ad7b-4d10ac9ac8fd · outbound

This paper cites Existence and computation of maximin fair allocations under matroid-rank valuations.

Achieving Equitability with Subsidy Existence and computation of maximin fair allocations under matroid-rank valuations

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.857207Z digest=sha256:3708b3cb128dc2e16742a45d47f9e00c04df2a8979682fe2dd2f852abd00d26d

Observation a5e41c86-cae1-4c35-9d53-661ab013759c · outbound

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

Achieving Equitability with Subsidy Optimal bounds on the price of fairness for indivisible goods

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:39.130386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.968731Z digest=sha256:a9c901b38982fa25ab6ce5a45deee12e97fb2cf71c222359f3aaea013ca92ffe

Observation 66c8eb00-e40c-41e8-bd8f-2c9d25fbbd6a · outbound

This paper cites Nearly equitable allocations beyond additivity and monotonicity.

Achieving Equitability with Subsidy Nearly equitable allocations beyond additivity and monotonicity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.949632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.037502Z digest=sha256:126f16a02c6148c4516499a7102f18409d545169d351d1a80c6eb6409374aaaf

Observation 0ca9eae6-9b10-4d20-a476-225cfe5a36cf · outbound

This paper cites Finding fair and efficient allocations for matroid rank valuations.

Achieving Equitability with Subsidy Finding fair and efficient allocations for matroid rank valuations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.776595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.112361Z digest=sha256:be369e80fdc5aede6a8b8138db00f8ea7cc076bd4a740edad408c18c171be30b

Observation d6acfaf6-a13e-4057-a03d-dd38577d418c · outbound

This paper cites Efficiency and envy-freeness in fair division of indivisible goods: Logical representation and complexity.

Achieving Equitability with Subsidy Efficiency and envy-freeness in fair division of indivisible goods: Logical representation and complexity

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.559099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.212467Z digest=sha256:1934545b653666630c7a4cf5236f018c8557be4274507e88f93ed5562aed5775

Observation c93d80c9-3429-4eba-b429-54a57beb1feb · outbound

This paper cites One dollar each eliminates envy.

Achieving Equitability with Subsidy One dollar each eliminates envy

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.378175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.289918Z digest=sha256:d4ca4bcc61999adddb8187a9b71ec9fd01ae94b6046daf1c793a8eb1ec9e9615

Observation 577960ba-5a38-44ef-8e01-b076d5f3443b · outbound

This paper cites Approximability landscape of welfare maximization within fair allocations.

Achieving Equitability with Subsidy Approximability landscape of welfare maximization within fair allocations

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-07T13:06:38.124267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.388639Z digest=sha256:f14c0d0ae9a33c9bc0b35fac10ed5b75662e5273620356dc77197aa041287f47

Observation f30e7ecc-dff3-455e-9a21-9cb5a255afb7 · outbound

This paper cites Computing envy-freeable allocations with limited subsidies.

Achieving Equitability with Subsidy Computing envy-freeable allocations with limited subsidies

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.526811Z digest=sha256:562e1263be178d964a2cfd887f6fb53fe9e447af00880a9ba0eafe88ea384ec2

Observation d102992a-0393-41e6-80d7-c7391910f027 · outbound

This paper cites The unreasonable fairness of maximum nash welfare.

Achieving Equitability with Subsidy The unreasonable fairness of maximum nash welfare

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.722315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.657878Z digest=sha256:4c1c71a364a378539c29add15bdadc6b8220a37395c69352deab8eceb295d174

Observation bd9f18ac-2a6d-4d38-9e5c-ed290bd19c56 · outbound

This paper cites On interim envy-free allocation lotteries.

Achieving Equitability with Subsidy On interim envy-free allocation lotteries

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.768661Z digest=sha256:d761edfc6603ed00b408cce97a5b9f7168433ab5939ba1d85b6440a8a1d160ce

Observation 481f31f2-e1ac-40db-9dda-c74a92ff8497 · outbound

This paper cites Equitable allocations of indivisible goods.

Achieving Equitability with Subsidy Equitable allocations of indivisible goods

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.332343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.943244Z digest=sha256:78ba1075a9d29d09781efc0444e01c0e84cfe6a11d1f3cddeed5f6e03e5fa01f

Observation d7b5b626-a1e6-43a3-805b-5ec555e8bd79 · outbound

This paper cites Equitable allocations of indivisible chores.

Achieving Equitability with Subsidy Equitable allocations of indivisible chores

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.135233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.061140Z digest=sha256:c504857d2e7b966b75dca01143456c7c11850573e639377aef255657905550e0

Observation a48fc32a-6c39-4e07-9970-96b744ac619c · outbound

This paper cites A fair and truthful mechanism with limited subsidy.

Achieving Equitability with Subsidy A fair and truthful mechanism with limited subsidy

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.198472Z digest=sha256:70f7a49715ac6302ace6cf1acf13610da580bf16779a6e5e629e16e1bbba6e2b

Observation 972de9ed-7e6c-4c0c-a2a2-b052d77c6710 · outbound

This paper cites Spliddit: Unleashing fair division algorithms.

Achieving Equitability with Subsidy Spliddit: Unleashing fair division algorithms

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.586669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.310776Z digest=sha256:7e5cf0bf0633ae3ac3d91f411a701997d956c750d4d06f15c6e419e3c692213a

Observation 36d37b5d-8dbf-4aa6-b229-106d5f7adc20 · outbound

This paper cites Near fairness in matroids.

Achieving Equitability with Subsidy Near fairness in matroids

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.382483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.428363Z digest=sha256:0ca25763ffee5510f10a28779d8f23ae587f7ea3b1f65a63cd8cc24a64ff69c3

Observation ac3b2238-f3e4-4f37-b41d-47fed49d335a · outbound

This paper cites Fair division with subsidy.

Achieving Equitability with Subsidy Fair division with subsidy

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.546219Z digest=sha256:5dce253fd9d873fed6bb66c161506e9adaaf3d56928cc5af1698e28f4ce782a5

Observation 086fa849-3624-44ba-b0ac-a29a416eca1e · outbound

This paper cites Envy freeness in experimental fair division problems.

Achieving Equitability with Subsidy Envy freeness in experimental fair division problems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:36.044184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.635254Z digest=sha256:a317ef1721b85e1b27483604935fe4a5a7dd71bb6ffd9ae424df3802bf1e9d20

Observation b33df510-ed0f-4029-8cd8-a14c607ff69f · outbound

This paper cites Equitable Allocations of Mixtures of Goods and Chores.

Achieving Equitability with Subsidy Equitable Allocations of Mixtures of Goods and Chores

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:06:34.663005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.673930Z digest=sha256:638101bde9e5a251d5a9e4de7a659f901a02b13c32a7c1d4c348d7181f16b7b2

Observation c467efe1-0d5a-40ed-b25a-08fa9821ade7 · outbound

This paper cites Towards optimal subsidy bounds for envy-freeable allocations.

Achieving Equitability with Subsidy Towards optimal subsidy bounds for envy-freeable allocations

Reference 22

Resolution
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raw_fallback, observed 2026-08-07T13:06:35.873783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.737129Z digest=sha256:a48de6069c097770734489b3c637b6cbc906c5a9374317cddad5c9394325a029

Observation 756a5ed3-fbd7-41b9-806b-d9c789497429 · outbound

This paper cites On the fair allocation of indivisible goods.

Achieving Equitability with Subsidy On the fair allocation of indivisible goods

Reference 23

Resolution
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raw_fallback, observed 2026-08-07T13:06:35.733285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.806972Z digest=sha256:c8e2ea263e9fde26fe73d111889df5ab6c110030d41bc091939126fd41b6b853

Observation 30a59f24-9622-454e-bf12-c6fac4c42389 · outbound

This paper cites Two birds with one stone: Fairness and welfare via transfers.

Achieving Equitability with Subsidy Two birds with one stone: Fairness and welfare via transfers

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.549043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.910057Z digest=sha256:3620568092a0842d475ee50e9de588b6d490e933b4f7700e6a262632679be651

Observation 3eb6e06f-9d4d-4382-9261-97a432267cd4 · outbound

This paper cites Resource-monotonicity and population-monotonicity in connected cake-cutting.

Achieving Equitability with Subsidy Resource-monotonicity and population-monotonicity in connected cake-cutting

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.359440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.969253Z digest=sha256:6ae2e7725878abb3f5d54ba07525cd9b3b5c54652fbcca32736649ee9205516b

Observation 8ea443e6-6174-484b-8424-eeda0374486e · outbound

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

Achieving Equitability with Subsidy Equitability and welfare maximization for allocating indivisible items

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.199620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.081081Z digest=sha256:c976fbc4e830c823ff097661054dc47af6aa21c400bc097d9a95a371fff37af0

Observation 90a77e5e-a87d-4426-9e6c-a3eaf3e364b1 · outbound

This paper cites A general framework for fair allocation under matroid rank valuations.

Achieving Equitability with Subsidy A general framework for fair allocation under matroid rank valuations

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:35.003763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.117660Z digest=sha256:c88486ff4524ad73ada9a7d882436354a3ff070c70c03fc2c0482469f47ad72f

Observation 22482584-c257-4aef-8250-a29eacbc6564 · outbound

This paper cites Tree Splitting Based Rounding Scheme for Weighted Proportional Allocations with Subsidy.

Achieving Equitability with Subsidy Tree Splitting Based Rounding Scheme for Weighted Proportional Allocations with Subsidy

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:06:34.489557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.218728Z digest=sha256:5ba6405ec617ea87c34db31c4976bb186544e08791d75edf5cb0c07290a58a9f

Observation ece08f3e-b692-4edb-a5d0-3a8c172c9dd8 · outbound

This paper cites One quarter each (on average) ensures proportionality.

Achieving Equitability with Subsidy One quarter each (on average) ensures proportionality

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:34.839970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.307184Z digest=sha256:723491f1c2afb902a8a22d0c2aa4af881af9cc90fee5eaf121e6e28b0563eb83

Pith citing papers

No inbound Pith citation observations are available.