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Paper Citation Record · LEDGER

Counting Minimal Tori In Riemannian Manifolds

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2412.11103.

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

pith.paper-citation-record.v1
2412.11103 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:24:39.158613Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 758b0673-9abf-4041-af5c-b90dd38817b8 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.291756Z

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.

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Observation 54e08fbf-fcc4-4aa3-b41d-0587a775d64f · outbound

This paper cites and Pandharipande, R., BPS states of curves in Calabi–Yau 3–folds, J.

Counting Minimal Tori In Riemannian Manifolds and Pandharipande, R., BPS states of curves in Calabi–Yau 3–folds, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.284132Z

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.

source=pdf_text observed=2026-08-11T15:24:39.121507Z digest=sha256:df57ea1f3c284d7e49f53dd0ac0857d57ab2db9f0e84935a63b58a9af087889c

Observation c2a8b67d-cd19-4f02-8c19-54857ca84d28 · outbound

This paper cites and Walpuski, T., Equivariant Brill-Noether theory for elliptic op- erators and super-rigidity of J-holomorphic maps, J.

Counting Minimal Tori In Riemannian Manifolds and Walpuski, T., Equivariant Brill-Noether theory for elliptic op- erators and super-rigidity of J-holomorphic maps, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.276809Z

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.

source=pdf_text observed=2026-08-11T15:24:39.124622Z digest=sha256:993f3cdf7d55e2d4a85a0df1968b6d0ebee68f48c310ba454113a24562a3d052

Observation 8cefea65-5b5a-4074-b88b-f88e7a5a5768 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.269659Z

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.

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Observation 26b4b7fe-6c03-4f44-be78-234d3ed828f5 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.262548Z

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.

source=pdf_text observed=2026-08-11T15:24:39.130061Z digest=sha256:b8391dc256cc437da6c7b6b015477d8e2ddd432d5c5a20d16eef4a549dd411fe

Observation c5dd1c5d-1bed-4311-a60e-e2c251b5564a · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.254787Z

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.

source=pdf_text observed=2026-08-11T15:24:39.132801Z digest=sha256:a11aa170024b541b69e0311d884cc8fe7f095b0a71e43450dc5ed539d9aa9f7c

Observation bebc0045-c5fd-4cf1-90b4-4987bff8896a · outbound

This paper cites D., Osserman, R.

Counting Minimal Tori In Riemannian Manifolds D., Osserman, R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.247301Z

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.

source=pdf_text observed=2026-08-11T15:24:39.135628Z digest=sha256:49bc5c08b8a31399ffe80ad24105a6bb9a9868f30fe2c14b15755893d7697e6a

Observation 79ba6cfa-be0f-4e4c-bde6-fb79d4c79852 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.240395Z

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.

source=pdf_text observed=2026-08-11T15:24:39.138015Z digest=sha256:bd5e07b3814f8565798ab5720f4409a13b59042970b505cae68f529c037bfc85

Observation 42d2b23a-554f-420c-bb48-d2a6d9e1c265 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.233135Z

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.

source=pdf_text observed=2026-08-11T15:24:39.140411Z digest=sha256:c14884f178a14759b11423b9e4d0aefa8fd95981a021b833af870da359137d22

Observation 6a225046-9cfb-4544-b41c-f793b486669b · outbound

This paper cites and Sarnak, P., Geodesics in homology classes, J.

Counting Minimal Tori In Riemannian Manifolds and Sarnak, P., Geodesics in homology classes, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.225585Z

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.

source=pdf_text observed=2026-08-11T15:24:39.142844Z digest=sha256:1cd7ae3a84f42c393b0c03689c9180e015c7c126f6cb0017b9b96f97955529ca

Observation bb3c162d-4a8d-43d8-bedd-066393ca56ab · outbound

This paper cites and Yu, J.

Counting Minimal Tori In Riemannian Manifolds and Yu, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.216593Z

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.

source=pdf_text observed=2026-08-11T15:24:39.145283Z digest=sha256:01f0622e1e46e039cddd04375efbd8ae8aafe00da84b1265f186ccec6c86d0bb

Observation b222aa8d-f692-4629-86b7-d0805057b4c6 · outbound

This paper cites H., Counting pseudo-holomorphic submanifolds in dimension 4, J.

Counting Minimal Tori In Riemannian Manifolds H., Counting pseudo-holomorphic submanifolds in dimension 4, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:24:39.209074Z

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.

source=pdf_text observed=2026-08-11T15:24:39.147768Z digest=sha256:2ebb45c813d8c76d903385a43fbbbbc80f1dc791b0d6cf246f4e875adb1346c5

Observation 7d227502-0fa6-4d39-985a-e621bd282613 · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.201262Z

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.

source=pdf_text observed=2026-08-11T15:24:39.150244Z digest=sha256:d69bd5fe3b7db2023bc58cb7e735d65ffface9e39c345b0182fea3a1bc648833

Observation 830dabc1-fe5f-4242-8105-1e6a4841bd5b · outbound

This paper cites Lectures on Symplectic Field Theory.

Counting Minimal Tori In Riemannian Manifolds Lectures on Symplectic Field Theory

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T15:24:39.153424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:24:39.153424Z digest=sha256:94ee3f6179a7c8a51021a65856908f27775955fe8d0f0e17ff58392edeaf2cfc

Observation 6e5268d4-503b-4977-9978-3071b70a14ad · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.193536Z

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.

source=pdf_text observed=2026-08-11T15:24:39.156191Z digest=sha256:28d0ad16728286813ab545eb787af3da8d239734e230449af5e350a072a13afa

Observation 36c33874-a251-4b46-ad08-a60f7cdd7e6a · outbound

This paper cites an unresolved cited work.

Counting Minimal Tori In Riemannian Manifolds Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:24:39.185787Z

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.

source=pdf_text observed=2026-08-11T15:24:39.158613Z digest=sha256:3e8d97651089e541cd2b96091dbaf952a78e1fd00aead745419350828c6d1ddf

Pith citing papers

No inbound Pith citation observations are available.