Paper Citation Record · LEDGER

Random homomorphisms and Lipschitz functions on trees

As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.29426.

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

pith.paper-citation-record.v1
2606.29426 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:12:40.384340Z

measured 21 of 21 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

21 of 21 outbound references displayed

verified exact6
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e40fc9d-6c4b-4ada-ab01-13f2bce5d583 · outbound

This paper cites On Random Graph Homomorphisms into Z.

Random homomorphisms and Lipschitz functions on trees On Random Graph Homomorphisms into Z

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 178ed442-d426-4667-b484-c5853e637eae · outbound

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

Random homomorphisms and Lipschitz functions on trees On the local convergence of integer-valued Lipschitz functions on regular trees

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:14:11.183544Z

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 c2c0e914-b94e-4971-9d49-60fc8c9f0961 · outbound

This paper cites The Discrete Gaussian for Differential Privacy.

Random homomorphisms and Lipschitz functions on trees The Discrete Gaussian for Differential Privacy

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ba5aa2d-0136-40f8-8407-3197db3f7bc4 · outbound

This paper cites Range of random $\mathbb Z$-homomorphisms on weak expanders.

Random homomorphisms and Lipschitz functions on trees Range of random $\mathbb Z$-homomorphisms on weak expanders

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-30T02:14:11.179000Z

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 71b49b75-28ae-4219-8455-7edd03951355 · outbound

This paper cites Infrared bounds, phase transitions and continuous symmetry breaking.

Random homomorphisms and Lipschitz functions on trees Infrared bounds, phase transitions and continuous symmetry breaking

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abffce2f-9d1b-4ec4-9bd4-4f054df0add5 · outbound

This paper cites The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the Coulomb gas.

Random homomorphisms and Lipschitz functions on trees The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the Coulomb gas

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d653bdd5-59ed-4e87-9ee3-d225796ff353 · outbound

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

Random homomorphisms and Lipschitz functions on trees On homomorphisms from the Hamming cube to Z

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5881d08a-5be5-48cc-b58c-6d464d90cd43 · outbound

This paper cites Height-offset variables and pinning at infinity for gra- dient Gibbs measures on trees.

Random homomorphisms and Lipschitz functions on trees Height-offset variables and pinning at infinity for gra- dient Gibbs measures on trees

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:14:11.170979Z

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 97a7f20e-6545-4d58-bc11-e29272a3ac98 · outbound

This paper cites Range of cube-indexed random walk.

Random homomorphisms and Lipschitz functions on trees Range of cube-indexed random walk

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38b513cc-814e-44b5-a7d1-06f4958527e8 · outbound

This paper cites Lipschitz functions on weak expanders.

Random homomorphisms and Lipschitz functions on trees Lipschitz functions on weak expanders

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:14:11.163258Z

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 7992a53a-016f-415f-847a-fd5285021006 · outbound

This paper cites Height function localization on trees.

Random homomorphisms and Lipschitz functions on trees Height function localization on trees

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf24cda6-f1c6-460b-a65c-71f08b6a9c4d · outbound

This paper cites Probability on trees and networks.

Random homomorphisms and Lipschitz functions on trees Probability on trees and networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f42b13-5b77-4bc8-a822-c4f2c14ed9b4 · outbound

This paper cites High-dimensional Lipschitz functions are typically flat.

Random homomorphisms and Lipschitz functions on trees High-dimensional Lipschitz functions are typically flat

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 202bcdee-b64e-4b0c-84ec-aa250bf83f8d · outbound

This paper cites Grounded Lipschitz functions on trees are typically flat.

Random homomorphisms and Lipschitz functions on trees Grounded Lipschitz functions on trees are typically flat

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 158911a3-e97a-45d8-abf7-27de229116f8 · outbound

This paper cites Lipschitz functions on expanders are typically flat.

Random homomorphisms and Lipschitz functions on trees Lipschitz functions on expanders are typically flat

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64e4472e-f1a7-4158-b6b8-8589f9917825 · outbound

This paper cites Long-range order in discrete spin systems.

Random homomorphisms and Lipschitz functions on trees Long-range order in discrete spin systems

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-06-30T02:14:11.167002Z

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 f855a8fa-8250-4e18-9a17-d877f9c5adb9 · outbound

This paper cites Gibbs measures for hardcore-SOS models on Cayley trees.

Random homomorphisms and Lipschitz functions on trees Gibbs measures for hardcore-SOS models on Cayley trees

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c68fd156-691b-4572-8b6b-55e1f435ecc7 · outbound

This paper cites Log-Concavity and Strong Log-Concavity: a review.

Random homomorphisms and Lipschitz functions on trees Log-Concavity and Strong Log-Concavity: a review

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9eee469-1162-4fb4-9124-20d1efed6c0c · outbound

This paper cites Localization of Random Surfaces with Monotone Potentials and an FKG-Gaussian Correlation Inequality.

Random homomorphisms and Lipschitz functions on trees Localization of Random Surfaces with Monotone Potentials and an FKG-Gaussian Correlation Inequality

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:14:11.175266Z

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 df223212-0e28-4a45-a30f-b8d2228d402e · outbound

This paper cites George Shanthikumar.

Random homomorphisms and Lipschitz functions on trees George Shanthikumar

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b821b07b-8282-4a05-889e-1646133bcc06 · outbound

This paper cites Random Surfaces.

Random homomorphisms and Lipschitz functions on trees Random Surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-30T02:12:40.384340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.