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Paper Citation Record · LEDGER

Achieving Equitability with Subsidy

As of 8 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 2026-08-07T06:34:17.273281+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
  • metadata mismatch0

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.588783Z digest=sha256:747ead81617419351e107909edd481538090bd49a11f3a5e0adf72e82f7a23cd

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.674645Z digest=sha256:d43fcb994c1c6a4006bed46f7af1ed4af3f55f3a8b307af77ebf6d1ea1599633

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.787651Z digest=sha256:89254ac96aacce2f12ecceac4c964cd80a47528b76993d15a0e1c05090615623

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
raw_fallback, observed 2026-08-07T13:06:39.317775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.857207Z digest=sha256:cc6f4456c0465a22ccca6f23117972284628913a1ecc93562796e56957cd18d5

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:31.968731Z digest=sha256:65f19bfc9e66890b423af158f71bae134c6f10ae61d5f12b3bf121154598ef96

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.037502Z digest=sha256:95d03033a9eb5314655b78e674e65b0fc450ea9bb335a67d7280324d28f47d35

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.112361Z digest=sha256:b27862f033a4eae0f15ee1949a2856a662198f4f0f50ca2ef3700288b7ad03cc

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.212467Z digest=sha256:c100472e222a754a7ee6fb5a8c908bc66fe53868bdb00894fba17dc69d8cd477

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.289918Z digest=sha256:2ce695bee5bf6574b18dd3eefdb749b8315fc2dce87886afec26e826c58aeb8c

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.388639Z digest=sha256:8286319bb47e6260f148511de6f95b43d164e282c53612e934ce9103556b0f8b

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
verified fuzzy
raw_fallback, observed 2026-08-07T13:06:37.911098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.526811Z digest=sha256:976e180096a5e20cfe23c991e475b0d5f93c8f077fcfd9c41a88aeffa7a68e67

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.657878Z digest=sha256:972657ea15b85111d6ba7a46cef5b815be0e3d7f268ad5da5f69dee778e9cfba

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
raw_fallback, observed 2026-08-07T13:06:37.553204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.768661Z digest=sha256:f8f8b7b43d67a321f30862b343aa6cc314cd8975768335b548221cb94b7dee4d

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:32.943244Z digest=sha256:7339f3c75cfeca3b33be832332e06f7197b5c19ef4ff94f901ae891b9516b1ba

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.061140Z digest=sha256:db89cc77907fda0ee3b8c5db2cdc4f35f79d6329cd5ef84213e69ecfa7b1e9d3

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
raw_fallback, observed 2026-08-07T13:06:36.855984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.198472Z digest=sha256:a695554c7a64ce2b593bcb9dc6b85d5299741efc32ea9dc7274e1866d5882ea2

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.310776Z digest=sha256:0b3aadb8c5032e4f87a54d333cbe2e564e962bab6898fb6ac12ac5df72a1b37a

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.428363Z digest=sha256:a02b46a5ab0abf29ddc4c80bc294673be44e72f17a0e9220f61f6d948bb0b635

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
raw_fallback, observed 2026-08-07T13:06:36.202835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.546219Z digest=sha256:d9c5b62b91b477909f9bbe2cdb52510624e4f9d04f6c6aef7c5297e09f299694

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.635254Z digest=sha256:f6d06012c9808f9cf1733a7835efa3c68a888645d121a3eaf773210aa1ada779

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.673930Z digest=sha256:3c625713c9090ebb801160714fe7aa071dc4a7246f0d4b3ea626a92d8c7ffc0a

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
verified fuzzy
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.737129Z digest=sha256:97f3cef17211515cea63a8876a5590c5914966d71a7c2f6a535e0e782c272bad

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
verified fuzzy
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.806972Z digest=sha256:8c2ae0f40d1f914c2daf968cefc90f778cfd6607bb63c1deadc3c44ff2875287

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

Resolution
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.910057Z digest=sha256:bad67779b2edcf011c5bfcf849c3817bfbcd692b7ae30fadbb1e95c70565cbe4

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:33.969253Z digest=sha256:36602def5ef18615b1443dfd843afd9f7fb1d337b8f24e10660f9cf05182aea6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.081081Z digest=sha256:fec76094415aea52e73c7f5c7736aa03f8348284b387f39e5e792b3997779a91

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.117660Z digest=sha256:aef6288a1293118b3354efddf811dbf652e3a86ed14e749dcfe5cf208a9a7163

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.218728Z digest=sha256:22d3a3a4df8ecee7949aa0f0e9383068a7c4cb8b36f559c6a045ab02a55d2767

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:06:34.307184Z digest=sha256:d2e304fc10621ed3a1f52e54cf2e14ac91c14e6ea476a3251dba5ca5efdd54f5

Pith citing papers

No inbound Pith citation observations are available.