Paper Citation Record · LEDGER

Minimal tori in $\mathbb{R}^4$

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.12914.

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

pith.paper-citation-record.v1
2507.12914 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:42:40.026900Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy7
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c3dd929-8664-49e0-a45b-cce06f4ba6bb · outbound

This paper cites Aiolfi, M.

Minimal tori in $\mathbb{R}^4$ Aiolfi, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:42.153338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73cf06fb-54ae-445b-81e4-325426067a40 · outbound

This paper cites an unresolved cited work.

Minimal tori in $\mathbb{R}^4$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:42:41.985003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f791a39d-1ae7-47d2-866e-d50879ceba65 · outbound

This paper cites Chern, R.

Minimal tori in $\mathbb{R}^4$ Chern, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:41.816371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b6b87143-b89e-4d4b-9978-74d879013889 · outbound

This paper cites Eells, S.

Minimal tori in $\mathbb{R}^4$ Eells, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:41.653734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d5624404-abd6-4549-8b57-8208024cdb5f · outbound

This paper cites Knots, minimal surfaces and J-holomorphic curves.

Minimal tori in $\mathbb{R}^4$ Knots, minimal surfaces and J-holomorphic curves

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T16:42:38.851095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41814c1b-4993-4a2f-8282-5fd9cb8e0c3b · outbound

This paper cites an unresolved cited work.

Minimal tori in $\mathbb{R}^4$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:42:41.510240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0b71260c-8326-430f-9ba7-a8a7b882495f · outbound

This paper cites an unresolved cited work.

Minimal tori in $\mathbb{R}^4$ Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:42:41.306478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 12e91a40-a658-4aac-9f3f-614ee0a145ef · outbound

This paper cites Lang Elliptic functions , Graduate Texts in Mathematics, Springer, 1987 29.

Minimal tori in $\mathbb{R}^4$ Lang Elliptic functions , Graduate Texts in Mathematics, Springer, 1987 29

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:41.140300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27d42e33-07cf-4e83-bcb3-cc06edb39969 · outbound

This paper cites Lopez The classification of complete minimal surfaces with total curvature greater than −2π, Trans.

Minimal tori in $\mathbb{R}^4$ Lopez The classification of complete minimal surfaces with total curvature greater than −2π, Trans

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:41.008336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4f23eb9b-b881-4020-8771-1cfbfa320e65 · outbound

This paper cites an unresolved cited work.

Minimal tori in $\mathbb{R}^4$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:42:40.840265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0bbf0996-3895-4ad1-9567-6f3e440857c5 · outbound

This paper cites Neumann, L.

Minimal tori in $\mathbb{R}^4$ Neumann, L

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:40.672917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2249a9cd-6580-43f7-a8b9-ec8d965fe1b5 · outbound

This paper cites an unresolved cited work.

Minimal tori in $\mathbb{R}^4$ Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:42:40.508941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0ed44ad8-84a1-4a3d-b352-660a6c4f82ad · outbound

This paper cites Weber Period quotient maps of meromorphic 1-forms and minimal surfaces on tori Marc Soret: Universit´ e F.

Minimal tori in $\mathbb{R}^4$ Weber Period quotient maps of meromorphic 1-forms and minimal surfaces on tori Marc Soret: Universit´ e F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:42:40.287340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.