Paper Citation Record · LEDGER

The Berger-Wang formula for order-preserving homogeneous maps on cones

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2509.02787.

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

pith.paper-citation-record.v1
2509.02787 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:49:01.880898Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

24 of 24 outbound references displayed

verified exact1
verified fuzzy12
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d10011f5-f983-4d23-a34c-2c586a2deb3b · outbound

This paper cites The Competive Spectral Radius of Families of Nonexpansive Mappings.

The Berger-Wang formula for order-preserving homogeneous maps on cones The Competive Spectral Radius of Families of Nonexpansive Mappings

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T16:49:01.776786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88b3c99e-5ec0-4321-b1c6-b0322712bff0 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.234607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 025574b3-3e7c-4ac1-84e0-78777797e06e · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.220526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64609995-5552-410a-b8bd-91e4203d0f69 · outbound

This paper cites Butkoviˇ c.Max-linear systems: theory and algorithms.

The Berger-Wang formula for order-preserving homogeneous maps on cones Butkoviˇ c.Max-linear systems: theory and algorithms

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.207969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cbf10001-3189-440e-8f57-626a54176983 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.193611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10f95071-35da-4fc1-afdd-3d497f682093 · outbound

This paper cites Daubechies and J.

The Berger-Wang formula for order-preserving homogeneous maps on cones Daubechies and J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.181816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3cce49be-a414-4297-b81c-0d9aa14974f1 · outbound

This paper cites Nonlinear Joint Spectral Radius.

The Berger-Wang formula for order-preserving homogeneous maps on cones Nonlinear Joint Spectral Radius

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:49:01.923965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f376f93d-40d1-46d1-aa57-16c7b6693795 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.169225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 422d28ed-25b4-40f7-82ec-e643917ef1aa · outbound

This paper cites Olsder F.L.

The Berger-Wang formula for order-preserving homogeneous maps on cones Olsder F.L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.156145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9845adb-3019-4d18-a1ac-3aefbc077982 · outbound

This paper cites Guglielmi, O.

The Berger-Wang formula for order-preserving homogeneous maps on cones Guglielmi, O

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.139213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29ddfe96-8ecf-4806-aab7-474cb181d5af · outbound

This paper cites Gursoy and O.

The Berger-Wang formula for order-preserving homogeneous maps on cones Gursoy and O

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.125197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eea79a2f-23da-43a1-97cb-79f6cc548b5f · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.109420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f9883d1e-a582-45f5-b97c-ed76680b0410 · outbound

This paper cites Lemmens and R.

The Berger-Wang formula for order-preserving homogeneous maps on cones Lemmens and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.096697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ca07272a-6798-41b7-ae64-65b479be41ea · outbound

This paper cites Lemmens and R.

The Berger-Wang formula for order-preserving homogeneous maps on cones Lemmens and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.084551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a925a0b5-8ed6-47e3-b78c-ebd246887681 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.072519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d47ba832-7fb6-4d2c-bdcd-9169ce567d10 · outbound

This paper cites Lur and W.-W.

The Berger-Wang formula for order-preserving homogeneous maps on cones Lur and W.-W

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.060336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 67d3c3a7-b071-4e76-a048-60aebb92f2b3 · outbound

This paper cites Mallet-Paret and R.

The Berger-Wang formula for order-preserving homogeneous maps on cones Mallet-Paret and R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.046760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22b2b06b-1858-455c-ad6b-7b405e204ba0 · outbound

This paper cites M¨ uller and A.

The Berger-Wang formula for order-preserving homogeneous maps on cones M¨ uller and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.033801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e297df4-baba-4e99-9111-517959124d89 · outbound

This paper cites M¨ uller and A.

The Berger-Wang formula for order-preserving homogeneous maps on cones M¨ uller and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:02.020299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9994fab2-94a2-4faf-ba06-338c399ef0c5 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:02.004511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b2d0c57d-a261-4d03-ae26-74577aeabfa1 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:01.991278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d38a852a-823f-4781-939e-30acb5631919 · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:01.978821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc60c307-3a41-40e7-9c75-63d9c45f1ef2 · outbound

This paper cites Rota and G.

The Berger-Wang formula for order-preserving homogeneous maps on cones Rota and G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:49:01.967164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65d37744-d1b4-4832-b1c5-9b2c7c5c57fb · outbound

This paper cites an unresolved cited work.

The Berger-Wang formula for order-preserving homogeneous maps on cones Unresolved cited work

Reference 1960

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:49:01.955028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.