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Paper Citation Record · LEDGER

Counting Minimal Tori In Riemannian Manifolds

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.121507Z digest=sha256:267a69e6c7d8aba2613294471496f0913ef065e511284bc75b5259a06ced0f46

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.124622Z digest=sha256:598c26df0046f2f5edd06afd7e679d4f55a56c4cb91893c0680cb3f80b8bd988

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.127190Z digest=sha256:f2c348646c503bde180cf13b6065377e60709bc7dc7ce265178545bf9f790114

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.130061Z digest=sha256:bc8ebd410ff5c62bb2b4ed3fabaceec1b0419cf6a9ef3e628d06761496164610

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.132801Z digest=sha256:4cde89c6dc78ee0750e18b45329c7cf22d3cfdf6c92368df685a2b7e284e87a2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.135628Z digest=sha256:98ca67f2d1546afab75a1a0bc76b49bd4ca1588fbf1403750ffac6d226c54090

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.138015Z digest=sha256:620eaaa52f1bbee3181bfc9ca068d8dc8828d886bea453bdbb4503083a8b238b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.140411Z digest=sha256:36a81893c38ec03787ae9e1dc51d883861031def12312d84705557b6261d458c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.142844Z digest=sha256:89c5a1900e715ae61c35165e8dcb0ff96f5201353d4cc94ca62b939b54ffd03b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.145283Z digest=sha256:2141b3441ecd48e2200daeab62956ba1a1c2548a5735aa714598be145e357995

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.147768Z digest=sha256:849fd0bf35010c394e5846438b703941a82d4be023386f857768a0db06d2a661

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.150244Z digest=sha256:ba0b06aed0cf6cfa77a5f3d89d20dfa7e30251a63679c334ea90b5afffebf3cf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.156191Z digest=sha256:0053d5db329b46b8c3d93a87107eda087b8318898d81da6188d35418534afba6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T15:24:39.158613Z digest=sha256:3996ac26a6d55b596e567ab0f07412378f1d096d8f910ce67b11ec6cea21d35e

Pith citing papers

No inbound Pith citation observations are available.