Paper Citation Record · LEDGER

Equitable Allocations of Mixtures of Goods and Chores

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2501.06799.

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

pith.paper-citation-record.v1
2501.06799 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:04:18.131092Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:14:46.323419Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:06:34.589939Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2564f1cc-d1f0-4dfa-affe-ac2baac1f195 · outbound

This paper cites If∃ r, r′∈ R and o∈ Ar : vr(o) =1 and vr′ (o) =−1, transfer o from Ar to Ar′.

Equitable Allocations of Mixtures of Goods and Chores If∃ r, r′∈ R and o∈ Ar : vr(o) =1 and vr′ (o) =−1, transfer o from Ar to Ar′

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:20.456488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e1142579-3e34-43c8-9d68-5096e2cf133a · outbound

This paper cites If∃ r∈ R, p∈ P and o∈ Ar : vr(o) =1 = vp(w), transfer o from Ar to Ap.

Equitable Allocations of Mixtures of Goods and Chores If∃ r∈ R, p∈ P and o∈ Ar : vr(o) =1 = vp(w), transfer o from Ar to Ap

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:20.274835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 09d7509f-7b21-44b6-a5c8-568e635d7eac · outbound

This paper cites If∃ r∈ R, p∈ P and o∈ Ap : vp(o) =−1 = vr(o), transfer o from Ap to Ar.

Equitable Allocations of Mixtures of Goods and Chores If∃ r∈ R, p∈ P and o∈ Ap : vp(o) =−1 = vr(o), transfer o from Ap to Ar

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:20.164828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ceaf8945-7c80-4b9a-80e9-e30ccbfa11a0 · outbound

This paper cites If∃ p, p′∈ P and o∈ Ap : vp(o) =−1 & vp′ (o) = 1, transfer o from Ap to Ap′.

Equitable Allocations of Mixtures of Goods and Chores If∃ p, p′∈ P and o∈ Ap : vp(o) =−1 & vp′ (o) = 1, transfer o from Ap to Ap′

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:20.025998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 45754ae1-4bf1-42bc-bd9a-eff854930d41 · outbound

This paper cites With these valuations at hand, we are now ready to prove Lemma B.1.

Equitable Allocations of Mixtures of Goods and Chores With these valuations at hand, we are now ready to prove Lemma B.1

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:19.471650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation be89b1f6-da60-4971-bd6b-b9be375481c2 · outbound

This paper cites We do this for |R| disjoint pairs of a rich and a poor agent, thereby decreasing the utility of all these pairs by −1.

Equitable Allocations of Mixtures of Goods and Chores We do this for |R| disjoint pairs of a rich and a poor agent, thereby decreasing the utility of all these pairs by −1

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:19.338307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4d55cfc4-a93f-4c08-b001-0755fef0eff9 · outbound

This paper cites We will argue that this assumption leads to a contradiction to normaliza- tion, thereby settling the claim.

Equitable Allocations of Mixtures of Goods and Chores We will argue that this assumption leads to a contradiction to normaliza- tion, thereby settling the claim

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:19.201116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 28ddea7d-29f2-4e7a-a4d9-5fc846df4079 · outbound

This paper cites If∃ r, r′∈ R and o∈ Ar : (vr(o), vr′ (o))∈{ (1, 0), (0,−1), (1,−1)}, transfer o from Ar to Ar′.

Equitable Allocations of Mixtures of Goods and Chores If∃ r, r′∈ R and o∈ Ar : (vr(o), vr′ (o))∈{ (1, 0), (0,−1), (1,−1)}, transfer o from Ar to Ar′

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:19.055603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6e7d5c0f-c90d-4de1-bcfa-9f636b306b53 · outbound

This paper cites If∃ r∈ R, p∈ P and o∈ Ar : (vr(o), vp(o))∈{ (1, 1), (1, 0), (0, 1)}, transfer o from Ar to Ap.

Equitable Allocations of Mixtures of Goods and Chores If∃ r∈ R, p∈ P and o∈ Ar : (vr(o), vp(o))∈{ (1, 1), (1, 0), (0, 1)}, transfer o from Ar to Ap

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:18.882859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0fdcc78e-d8a3-4be6-9dc8-e314acfb4ab4 · outbound

This paper cites If∃ r∈ R, p∈ P and o∈ Ap : (vp(o), vr(o))∈{ (−1, 0), (−1,−1), (0,−1)}, transfer o from Ap to Ar.

Equitable Allocations of Mixtures of Goods and Chores If∃ r∈ R, p∈ P and o∈ Ap : (vp(o), vr(o))∈{ (−1, 0), (−1,−1), (0,−1)}, transfer o from Ap to Ar

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:18.770199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dd6f3fc2-f041-44b4-9476-7bf5c714177e · outbound

This paper cites If∃ p, p′∈ P and o∈ Ap : (vp(o), vp′ (o))∈{ (−1, 1), (0, 1), (−1, 0)}, transfer o from Ap to Ap′.

Equitable Allocations of Mixtures of Goods and Chores If∃ p, p′∈ P and o∈ Ap : (vp(o), vp′ (o))∈{ (−1, 1), (0, 1), (−1, 0)}, transfer o from Ap to Ap′

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:18.669918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8e3f7670-d5e2-4664-8418-61b8f8e8f619 · outbound

This paper cites an unresolved cited work.

Equitable Allocations of Mixtures of Goods and Chores Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:04:19.874750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d6d03bb-36f2-4639-9c3c-3455f9ecfa90 · outbound

This paper cites an unresolved cited work.

Equitable Allocations of Mixtures of Goods and Chores Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:04:19.714755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 278fd469-6750-4284-85fa-834b1f8ab1d8 · outbound

This paper cites an unresolved cited work.

Equitable Allocations of Mixtures of Goods and Chores Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:04:19.605849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b18a2eeb-05a2-47da-9347-942d01344add · outbound

This paper cites Proof of Theorem 4.3.

Equitable Allocations of Mixtures of Goods and Chores Proof of Theorem 4.3

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:04:18.575401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0a78495a-a4fa-4f67-8872-9bf54f2e8237 · outbound

This paper cites Martin Aleksandrov and Toby Walsh.

Equitable Allocations of Mixtures of Goods and Chores Martin Aleksandrov and Toby Walsh

Reference 2023

Resolution: verified exact; raw_fallback, observed 2026-08-10T21:04:18.496610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation bfdd07d0-47d4-416b-9563-11034fbff62d · inbound

Best of Both Worlds Guarantees for Equitable Allocations cites this paper.

Best of Both Worlds Guarantees for Equitable Allocations Equitable Allocations of Mixtures of Goods and Chores

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:14:46.323419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Achieving Equitability with Subsidy cites this paper.

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 2026-08-20T06:33:59.587034+00:00.