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Paper Citation Record · LEDGER

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.09061.

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

pith.paper-citation-record.v1
2608.09061 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:34:56.816988Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4638b1a2-1118-4636-82a3-10172a8159f4 · outbound

This paper cites Facility Location Mechanism Design: Breaking The Deterministic Barrier.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Facility Location Mechanism Design: Breaking The Deterministic Barrier

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T00:34:56.657015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T00:34:56.657015Z digest=sha256:e79a237ba14ea1374daef8e165bd55b97b53123c84e326384dd237fc945251cc

Observation fd251142-e9af-4f28-849d-7f0427c0391b · outbound

This paper cites Mobile facility location.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Mobile facility location

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.093513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.662833Z digest=sha256:ba87bb571122e9e3bfa5d1da75de18e740054d2b7742d0e11fabe47e90e748b6

Observation 54232ba4-5631-49a2-a3e3-1820a4afb4d5 · outbound

This paper cites Non-positive curvature and the P tolemy inequality.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Non-positive curvature and the P tolemy inequality

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.077725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.773584Z digest=sha256:aadf35a58856d10d5d868e11fbcb569d342857fb5cd06341b24b7ba641ae0466

Observation e53e0528-92e7-464b-b3ce-9df23f5188b4 · outbound

This paper cites On the power of deterministic mechanisms for facility location games.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location On the power of deterministic mechanisms for facility location games

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.062328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.779066Z digest=sha256:59fbcbb87d3d963ac1cd5128f44d1af6014ace748ce8f2251237656f016021e1

Observation 40013559-633e-43d2-86f5-94e1f11971b7 · outbound

This paper cites Optimality of the coordinate-wise median mechanism for strategyproof facility location in two dimensions.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Optimality of the coordinate-wise median mechanism for strategyproof facility location in two dimensions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.046211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.783993Z digest=sha256:d3e0751a14f1bd4f4b34fc602c07a303c32c52dfafb58f1f8b0e8232770c536d

Observation 4b4eee71-eb3c-424c-87cf-64f0cb23cc6f · outbound

This paper cites Approximation guarantees of median mechanism in R ^ d.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Approximation guarantees of median mechanism in R ^ d

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.028539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.788866Z digest=sha256:2466f4824b744261b1c8c17a7d5d1f394b07868271100e1703f8b57ef1f05919

Observation 44c4fc52-827a-47ad-85d1-59d7942608af · outbound

This paper cites Tighter bounds for facility games.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Tighter bounds for facility games

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:57.012752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.793882Z digest=sha256:b4f8629703602e48e84b4f5fe1edca3a84798e178a99dd53dfbd4f9b43635089

Observation 222eb6db-9ca9-40aa-9ed7-b5e50840e281 · outbound

This paper cites Asymptotically optimal strategy-proof mechanisms for two-facility games.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Asymptotically optimal strategy-proof mechanisms for two-facility games

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:56.997556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.798506Z digest=sha256:7a198ae9c4178941716e03e07b28bcbd4ef5b20c88eca5270e68eb6dc4037f1e

Observation a6622198-92ed-4a0b-8f64-d7c35252c0af · outbound

This paper cites Strategyproof facility location for three agents on a circle.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Strategyproof facility location for three agents on a circle

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:56.982859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.803075Z digest=sha256:316e7ba1f75ce6afd3f8d00b196cca8dad6c059df42ca1c58156c93f7376f374

Observation 52a7a156-6554-4c17-b0f2-77ccbae24b00 · outbound

This paper cites On strategy-proofness and single peakedness.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location On strategy-proofness and single peakedness

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:34:56.967556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.807649Z digest=sha256:14fa2943d6fba13d5f52fe8a6a995cb48f106b75384e21808b1b1c8035eac837

Observation 419d17d0-fecb-4bdb-88c6-b0ad18382b01 · outbound

This paper cites Procaccia and Moshe Tennenholtz.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Procaccia and Moshe Tennenholtz

Reference 11

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T00:34:56.934830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.812465Z digest=sha256:012bd5949ae25c9064515046c7527f8c19412dcb530ac38f1181c5a3aa4937bf

Observation 1ce31218-7489-48a2-8ca5-4c4c2d38aa7d · outbound

This paper cites Strategyproof Approximation Mechanisms for Location on Networks.

Breaking the 4-Approximation Barrier in Strategyproof Two-Facility Location Strategyproof Approximation Mechanisms for Location on Networks

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T00:34:56.816988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T00:34:56.816988Z digest=sha256:b290e5fabee711d3e3586a8fb2a03f369831d15910f45f557462f0ad0a7c3831

Pith citing papers

No inbound Pith citation observations are available.