Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:42:40.026900Z
Paper Citation Record · LEDGER
Minimal tori in $\mathbb{R}^4$
As of 12 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.