Paper Citation Record · LEDGER

Random Lipschitz functions on graphs with weak expansion

As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2411.09640.

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

pith.paper-citation-record.v1
2411.09640 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:46:28.189354Z

measured 11 of 11 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

11 of 11 outbound references displayed

verified exact0
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 296967f2-68cc-4f20-9cec-894293abdbb2 · outbound

This paper cites On random graph homomorphisms into Z.

Random Lipschitz functions on graphs with weak expansion On random graph homomorphisms into Z

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.387137Z

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.

Observation a3947d57-3548-4c0e-aeb5-5d6abea26f42 · outbound

This paper cites Tree-indexed random walks on groups and first passage percolation.Probability Theory and Related Fields, 98:91–112, 1994.

Random Lipschitz functions on graphs with weak expansion Tree-indexed random walks on groups and first passage percolation.Probability Theory and Related Fields, 98:91–112, 1994

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.372089Z

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.

Observation 792761c6-099d-43d4-a437-b777927e60f8 · outbound

This paper cites Random graph-homomorphisms and logarithmic degree.

Random Lipschitz functions on graphs with weak expansion Random graph-homomorphisms and logarithmic degree

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.358149Z

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.

Observation 8da57739-7325-4d04-9f6e-76bbb1506698 · outbound

This paper cites On the local convergence of integer-valued Lipschitz functions on regular trees.

Random Lipschitz functions on graphs with weak expansion On the local convergence of integer-valued Lipschitz functions on regular trees

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T20:46:28.153108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5939d39b-a75f-49c2-ac9b-bcab2caf9796 · outbound

This paper cites Some intersection theorems for ordered sets and graphs.

Random Lipschitz functions on graphs with weak expansion Some intersection theorems for ordered sets and graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.344119Z

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.

Observation 69890636-fec8-4400-aa51-4fe47c3c76c5 · outbound

This paper cites H-coloring tori.

Random Lipschitz functions on graphs with weak expansion H-coloring tori

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.322555Z

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.

Observation a6dc52a8-5a6b-45ba-bbde-7eb0a8ca04e4 · outbound

This paper cites On homomorphisms from the hamming cube to Z.

Random Lipschitz functions on graphs with weak expansion On homomorphisms from the hamming cube to Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.303483Z

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.

Observation cecc1752-57ae-42c1-87d0-eb887eea6897 · outbound

This paper cites Range of cube-indexed random walk.

Random Lipschitz functions on graphs with weak expansion Range of cube-indexed random walk

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.285955Z

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.

Observation 29372538-2c46-47a0-a095-9c2c49f6f93d · outbound

This paper cites Lipschitz functions on weak expanders.

Random Lipschitz functions on graphs with weak expansion Lipschitz functions on weak expanders

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T20:46:28.178948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35c81b70-d543-4c0b-8e07-5e0538d90a00 · outbound

This paper cites Grounded Lipschitz functions on trees are typically flat.Electronic Communi- cations in Probability, 18:1–9, 2013.

Random Lipschitz functions on graphs with weak expansion Grounded Lipschitz functions on trees are typically flat.Electronic Communi- cations in Probability, 18:1–9, 2013

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.271566Z

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.

Observation a3ee9d17-d218-473c-916f-a1c657970ca5 · outbound

This paper cites Lipschitz functions on expanders are typically flat.

Random Lipschitz functions on graphs with weak expansion Lipschitz functions on expanders are typically flat

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:46:28.255536Z

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.

Pith citing papers

No inbound Pith citation observations are available.