Paper Citation Record · LEDGER

Geometric Kernels of Proper Maps Between Non-Compact Surfaces

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2508.21057.

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

pith.paper-citation-record.v1
2508.21057 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:48:56.221050Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

28 of 28 outbound references displayed

verified exact6
verified fuzzy9
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cacbceef-d0dc-494f-bfc7-28d5e9775c02 · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.824052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a8033e1a-2071-402c-a68c-abe91534445a · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.815657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 58e3eca5-be7b-4f7a-94dc-ed778755186a · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.807242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9b76774d-448a-4c16-9db3-1dd3143bf1f5 · outbound

This paper cites Brown and Robert Messer.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Brown and Robert Messer

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.798530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 19101d9f-96ef-47b3-91bf-45275befb62d · outbound

This paper cites Geometry and spectra of compact Riemann surfaces.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Geometry and spectra of compact Riemann surfaces

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.790444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ec8c76ce-433c-40ab-b311-d5e5de19eb0f · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.782096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4622a11c-eee5-4e9a-839d-c26dc6bb41f2 · outbound

This paper cites $\pi_1$-injective proper maps between non-compact surfaces.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces $\pi_1$-injective proper maps between non-compact surfaces

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:48:56.638212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47f7201e-d1e0-4729-9713-e5fe218d9c8c · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.774046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2090f50f-43dc-4a56-a49c-0a520321e353 · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.765744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65d6dc56-db0a-40f0-8331-d94e5b8db36f · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.756760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07749877-40d3-418f-8dd5-ff21ea66dd33 · outbound

This paper cites Princeton University Press, Princeton, NJ, 2012.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Princeton University Press, Princeton, NJ, 2012

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.748404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3c244800-02c5-4825-8b18-08c0c15bb99e · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.739983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe4f54b6-ff35-4cba-ab28-4a750eb7652d · outbound

This paper cites Floquetifying the Colour Code.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Floquetifying the Colour Code

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:48:56.626474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a52f80df-a8f8-481a-9bcd-1d40bedf52e5 · outbound

This paper cites The simple loop conjecture.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces The simple loop conjecture

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.731925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e242c020-9514-4e4e-b64d-5394baff2bc9 · outbound

This paper cites Open surfaces and an algebraic study of ends.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Open surfaces and an algebraic study of ends

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.723698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 71ade753-fb0e-48c1-b3a8-6c8de1cfa182 · outbound

This paper cites Volume and bounded cohomology.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Volume and bounded cohomology

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.714866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 700c3971-2023-431d-a2f5-01e022d8b3ac · outbound

This paper cites On irreducible 3-manifolds which do not contain projective planes.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces On irreducible 3-manifolds which do not contain projective planes

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:48:56.546413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fdaec6d-4c81-424c-a2e8-7ecd196d86ad · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.706744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f25025c-eb5e-4453-98d5-525a53b1d685 · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.698464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2722b907-489f-46ae-963e-eb72b42cbecd · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.689702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e0b2f2f-1daa-4619-8cf0-f987388db1e4 · outbound

This paper cites On the classification of noncompact surfaces.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces On the classification of noncompact surfaces

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.681464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77124a9a-61c8-4f09-9b0c-1e3a01f772b2 · outbound

This paper cites The degree of a map between surfaces.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces The degree of a map between surfaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.672574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7bf63752-a1e4-4c1d-adda-6f59bf3fa1ea · outbound

This paper cites Maps between surfaces.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Maps between surfaces

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:48:56.473168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f747263-e1bd-4c57-8219-242e47200896 · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.663515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation af3f2a50-e68d-42e3-8ab6-9cd1b6413906 · outbound

This paper cites an unresolved cited work.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:48:56.655050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c030e95-e823-4946-9b60-034fc2736726 · outbound

This paper cites On non-compact 3-manifolds which are end-irreducible.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces On non-compact 3-manifolds which are end-irreducible

Reference 26

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:48:56.404818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6b2b7719-e930-42e4-ab22-27341f62a5aa · outbound

This paper cites On irreducible 3-manifolds which are sufficiently large.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces On irreducible 3-manifolds which are sufficiently large

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:48:56.646882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 052db58e-864e-402b-bce1-208aa87a4fe8 · outbound

This paper cites Available at https://www.proquest.com/docview/288355577.

Geometric Kernels of Proper Maps Between Non-Compact Surfaces Available at https://www.proquest.com/docview/288355577

Reference 1967

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:48:56.616075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.