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Paper Citation Record ยท LEDGER

Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare

As of 18 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2501.15782.

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

pith.paper-citation-record.v1
2501.15782 v1

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:07:48.083293Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

3 of 3 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 713faef5-0d27-4101-a914-09f5cc9e6ec2 ยท outbound

This paper cites We know that we can rewrite the definition of (๐›พ,๐›ฝ )-fairness as follows: ๐พโˆ‘๏ธ ๐‘–=1 ๐‘ˆ 1โˆ’๐›พ ๐‘– (w) ๐พ ! 1 1โˆ’๐›พ โ‰ค๐›ฝยท ๐พโˆ‘๏ธ ๐‘–=1 ๐‘ˆ 1โˆ’๐›พ ๐‘– (x) ๐พ ! 1 1โˆ’๐›พ.

Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare We know that we can rewrite the definition of (๐›พ,๐›ฝ )-fairness as follows: ๐พโˆ‘๏ธ ๐‘–=1 ๐‘ˆ 1โˆ’๐›พ ๐‘– (w) ๐พ ! 1 1โˆ’๐›พ โ‰ค๐›ฝยท ๐พโˆ‘๏ธ ๐‘–=1 ๐‘ˆ 1โˆ’๐›พ ๐‘– (x) ๐พ ! 1 1โˆ’๐›พ

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:07:48.139358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T14:07:48.083293Z digest=sha256:51b78c1f3a9689973cdcac75fd3c736c55933acebf544d18ef315d801bfa304f

Observation 92129980-d987-457b-9f5a-d6830038ac77 ยท outbound

This paper cites ฮฅ๐‘—(1)+ โˆซ ฮฅ๐‘—(๐‘ฃ๐‘—) ฮฅ๐‘—(1) ๐œ™(๐œ‚)๐‘‘๐œ‚ # = โˆ‘๏ธ ๐‘—โˆˆ๐ด.

Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare ฮฅ๐‘—(1)+ โˆซ ฮฅ๐‘—(๐‘ฃ๐‘—) ฮฅ๐‘—(1) ๐œ™(๐œ‚)๐‘‘๐œ‚ # = โˆ‘๏ธ ๐‘—โˆˆ๐ด

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:07:48.155048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T14:07:48.077076Z digest=sha256:5ac77cfb00d64547096a985660d844cca96845108df7fd2021265cf91299cf30

Observation 026bf627-09d0-4e08-abea-aeb0bd17c04f ยท outbound

This paper cites Online Fair Allocation with Best-of-Many-Worlds Guarantees.

Online Allocation with Multi-Class Arrivals: Group Fairness vs Individual Welfare Online Fair Allocation with Best-of-Many-Worlds Guarantees

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T14:07:48.070833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:07:48.070833Z digest=sha256:fd57e103e0d74870fbcb0ca8eb5ad391c4dbe92b90720c3cce3e491a9ba90dd6

Pith citing papers

No inbound Pith citation observations are available.