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Paper Citation Record · LEDGER

Four Bottomless Errors and the Collapse of Statistical Fairness

As of 22 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2504.13790.

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

pith.paper-citation-record.v1
2504.13790 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:06:39.792156Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9c48828-cf0f-4f32-8dd9-aad312637563 · outbound

This paper cites It is also a particularly insidious Four Bottomless Errors and the Collapse of Statistical Fairness 2 kind of error.

Four Bottomless Errors and the Collapse of Statistical Fairness It is also a particularly insidious Four Bottomless Errors and the Collapse of Statistical Fairness 2 kind of error

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.281511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.732950Z digest=sha256:6e792cc68a72b1e51f571be9a435bcfb677fa55a769408ef6e884c695e766ce8

Observation 628a5a55-b08b-4135-8cb4-27aeb800074b · outbound

This paper cites Unfairness is….

Four Bottomless Errors and the Collapse of Statistical Fairness Unfairness is…

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.263027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.737632Z digest=sha256:7f80917f27a303f8eeddfe21c7e65a37e7af38bbf009452500d84683e7db3867

Observation 158e97b9-76b5-4d68-a3a0-170cfd102ebe · outbound

This paper cites While peripheral debates about the conception trace through philosophy’s history (Broome 1990), at least two central claims remain solid.

Four Bottomless Errors and the Collapse of Statistical Fairness While peripheral debates about the conception trace through philosophy’s history (Broome 1990), at least two central claims remain solid

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.249101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.742545Z digest=sha256:d319eb6b98eb0ea7c037ce1250c50e2ba28b99cfbcd34c5627dacc32ba15c6c3

Observation b5da6181-5e8d-41ca-8960-4e12cf2dfa34 · outbound

This paper cites This particular rejection of prejudice and favoritism creates an insuperable problem: no discriminating decisions can be made.

Four Bottomless Errors and the Collapse of Statistical Fairness This particular rejection of prejudice and favoritism creates an insuperable problem: no discriminating decisions can be made

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.233468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.747538Z digest=sha256:e55fd93977ce83e65fb1868f0475453a31ec83487ac181abc90794b2fae819fe

Observation e014a760-eb0c-4d94-8ee8-69d79b10db70 · outbound

This paper cites an unresolved cited work.

Four Bottomless Errors and the Collapse of Statistical Fairness Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:06:40.197040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.757596Z digest=sha256:5de4cdb9c9d56dff87257b70f0b40b7d11bc71b52c9d2c061d79d5eff36f14fe

Observation 020f0efb-8afa-4bee-8869-8bb7aa2a668e · outbound

This paper cites wrongfully denied bail.

Four Bottomless Errors and the Collapse of Statistical Fairness wrongfully denied bail

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.179495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.762878Z digest=sha256:929dfc05056d79138eb6333f98ca001f92b5239830778c382a904fc170bc61c9

Observation 7bbba350-d0d4-41e7-bb1f-8e9c4b13ac93 · outbound

This paper cites It would mean,.

Four Bottomless Errors and the Collapse of Statistical Fairness It would mean,

Reference 7

Resolution
malformed identifier
doi_truncated, observed 2026-08-16T12:06:40.166761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.767506Z digest=sha256:5b9797c531a68f7a9344cc9a36ec963305c168e86eef0d91b62b14ae85f7b3e8

Observation 4f51e7cf-2dd8-4354-a2ca-f50c7a315aa3 · outbound

This paper cites ProPublica's COMPAS Data Revisited.

Four Bottomless Errors and the Collapse of Statistical Fairness ProPublica's COMPAS Data Revisited

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-16T12:06:39.781317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:06:39.781317Z digest=sha256:b0e9d71068af472279d5d65fe09fd50853cc1668c6e170ff1a719c0fd7ba88f0

Observation 18fc81fd-6e4b-4808-8717-4996ef8ed06d · outbound

This paper cites A snapshot of the frontiers of fairness in machine learning.

Four Bottomless Errors and the Collapse of Statistical Fairness A snapshot of the frontiers of fairness in machine learning

Reference 12

Resolution
metadata mismatch
raw_fallback, observed 2026-08-16T12:06:40.102738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.785100Z digest=sha256:2ccbac90dc0beb305db0a1192487fb86ce3ae92af1554eeb8c9df1ec79767e75

Observation 5f26eb16-5b4d-447b-b64c-e8f8a4e166e2 · outbound

This paper cites Trade-offs between group fairness metrics in societal resource allocation.

Four Bottomless Errors and the Collapse of Statistical Fairness Trade-offs between group fairness metrics in societal resource allocation

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T12:06:39.788424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:06:39.788424Z digest=sha256:2fa6462a24c7efe2a29dd047be7be670ee015fd1d7966f8ce4e888874ee584d2

Observation 13f09b13-b9eb-4e9d-aac8-ce4cadbfeda0 · outbound

This paper cites Discrimination, Bias, Fairness, and Trustworthy AI.

Four Bottomless Errors and the Collapse of Statistical Fairness Discrimination, Bias, Fairness, and Trustworthy AI

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-16T12:06:39.948432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.792156Z digest=sha256:947f347d02d5222aee76c25f4183fada9c6ebd176897502015377b37e7e10efe

Observation b57645cd-5b40-47bc-b214-ea8b16403511 · outbound

This paper cites Bao, Michelle and Zhou, Angela and Zottola, Samantha and Brubach, Brian and Brubach, Brian and Desmarais, Sarah and Horowitz, Aaron and Lum, Kristian and Venkatasubramanian, Suresh.

Four Bottomless Errors and the Collapse of Statistical Fairness Bao, Michelle and Zhou, Angela and Zottola, Samantha and Brubach, Brian and Brubach, Brian and Desmarais, Sarah and Horowitz, Aaron and Lum, Kristian and Venkatasubramanian, Suresh

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.153223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.773104Z digest=sha256:8052392d72947b1728a6df71e2bcc2854ab4261de7253a7a243ed37ac79a83af

Observation be3fb231-3035-47b5-83b5-5aae10baf719 · outbound

This paper cites 35th Conference on Neural Information Processing Systems (NeurIPS.

Four Bottomless Errors and the Collapse of Statistical Fairness 35th Conference on Neural Information Processing Systems (NeurIPS

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.137240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.777404Z digest=sha256:0a545a2fa41de414c4da3fcf62824e71078727dde8b0f2210f460a565be0f325

Observation 3d4ba161-5584-4a78-94c6-9ebf89261eab · outbound

This paper cites Parity” “balance.

Four Bottomless Errors and the Collapse of Statistical Fairness Parity” “balance

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:06:40.214851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:06:39.752189Z digest=sha256:b0456a73f96dcaa32eda4d975abfafb96b3e81d76bf7f4e6d2868b89c5cf1a13

Pith citing papers

No inbound Pith citation observations are available.