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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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=sha256:8fe90b40124f4f143ca7cb3c7550960e53fdb0eaa3dd8f1baa2dadedae2568dd

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.662833Z digest=sha256:ca6788dcb6e8540342727d71c869f915de47786c9e0af2cde4bb55577f0ddae7

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.773584Z digest=sha256:079735d70ead141ecaf63b6dac2f5ce3afd84d8323102abcd469c17839add221

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.779066Z digest=sha256:49f8e8bb93048848265c84616e115eeccf14a3a25f9752561963c60af7217dcb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.783993Z digest=sha256:f6791da3298d660a88530147c143554ff8fbdb50a4831b7a3dedb562e7b99344

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.788866Z digest=sha256:eb394cf6f4a4a72c7be4c3c5f77351c55c5779fccb79e90a7ff385ae5cbef21e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.793882Z digest=sha256:0e3ec529b2167b9b77392241e16f992fe718ae4a55dcd349d2371289ada112f9

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.798506Z digest=sha256:6478b2545bc7102073a99846b9a9aaed5b9ac2e0d3f765ec0abfd22d8d161edd

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.803075Z digest=sha256:141d174007d36e4cab6d40e8d49cc49207623aa48e079cd7b63b89ad4ba16a2f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.807649Z digest=sha256:e4efa8a607c8941f1e7514cd5687f7fd1c3b3ea5850f78b508f4c2c6c52cbcb5

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:34:56.812465Z digest=sha256:3ed8e055cf143b897924053bcd06a526708bcae526c455b0ef98ff5570bd5e18

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=sha256:096c62d4ce79fcd654fce54585e047d7dfdbdc21610c7ef93d64928b33b591fe

Pith citing papers

No inbound Pith citation observations are available.