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Paper Citation Record · LEDGER

Extremal functions on moduli spaces and applications

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2411.13671.

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

pith.paper-citation-record.v1
2411.13671 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:22:39.599312Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 46b94cec-d214-46f4-a62f-e4950a51d640 · outbound

This paper cites (1907) Diophantische Approximationen , Leipzig: Teubner.

Extremal functions on moduli spaces and applications (1907) Diophantische Approximationen , Leipzig: Teubner

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.451081Z digest=sha256:b294894e265d43ced2056e52b56facd9f496eee902edffb4d854594238682643

Observation db0ebbc5-9c79-47b8-92ff-9abdddc273fa · outbound

This paper cites (1941) Lattice points in the region |Ax4| + |By 4| ≥ 1, J.

Extremal functions on moduli spaces and applications (1941) Lattice points in the region |Ax4| + |By 4| ≥ 1, J

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-12T16:22:40.064476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.464250Z digest=sha256:050b50c83c5fbd5b6c25124ce86ec1ff34c06fa6b28e84a4e0cf5505aeec4827

Observation 3420b0f2-2c52-4f8e-8215-7b9ed7119d86 · outbound

This paper cites (1948) Note on a conjecture by Minkowski, J.

Extremal functions on moduli spaces and applications (1948) Note on a conjecture by Minkowski, J

Reference 3

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a17f2b19-8204-4fa2-a8c4-f7ccfac86f86 · outbound

This paper cites (1950) Minkowski’s conjectures on critical lattices in the metric {|ξ|p+ |η|p}1/p , Annals of Mathematics, 51 (2), 734–738.

Extremal functions on moduli spaces and applications (1950) Minkowski’s conjectures on critical lattices in the metric {|ξ|p+ |η|p}1/p , Annals of Mathematics, 51 (2), 734–738

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.996966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.497280Z digest=sha256:f4dddee1bd2666aa704c9411f28ef2fab3eacbc03175494c89d9e8e532e26f43

Observation 846ad145-ee1a-4c8c-9ff2-ddf8b37b1723 · outbound

This paper cites (1953) Minkowski’s conjecture on the critical lattices of the region |x|p + |y|p ≤ 1 , (I), (II), J.

Extremal functions on moduli spaces and applications (1953) Minkowski’s conjecture on the critical lattices of the region |x|p + |y|p ≤ 1 , (I), (II), J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.961735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.510110Z digest=sha256:8a1a1d039f58d4b11cc4bcae1289a0a1acbb0dc3ff383990fb5a63fc4c6846d1

Observation fa514aea-d371-42f2-bd2b-6f3a88660dfe · outbound

This paper cites an unresolved cited work.

Extremal functions on moduli spaces and applications Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:22:39.940608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 868e6b7b-c9e0-438d-8265-2639b3819193 · outbound

This paper cites an unresolved cited work.

Extremal functions on moduli spaces and applications Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:22:39.905633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.531759Z digest=sha256:1509582b4842ef530d4450071e9e96b6dd96e944eb451e8260dbe3ce8908dfd7

Observation 4a3a9ede-13b4-441c-90f8-3b3c35a78378 · outbound

This paper cites (1977) Application of computers to the proof of a co njecture of Minkowski’s from geometry of numbers.

Extremal functions on moduli spaces and applications (1977) Application of computers to the proof of a co njecture of Minkowski’s from geometry of numbers

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.876563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.537105Z digest=sha256:af29f4f703cc8cd2281239b16844ddfee44c642034a58b9d847a4d4272f617b9

Observation fc86ab82-88c4-4746-bbc6-1bccd4326184 · outbound

This paper cites an unresolved cited work.

Extremal functions on moduli spaces and applications Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:22:39.846951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 376a1e64-6626-4d8c-b6d6-49e322f28186 · outbound

This paper cites The Number of Lattice Points on a Conve x Curve, J.

Extremal functions on moduli spaces and applications The Number of Lattice Points on a Conve x Curve, J

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 81c7c908-c710-456b-b95f-d8a2d0bbb198 · outbound

This paper cites Duke Math.

Extremal functions on moduli spaces and applications Duke Math

Reference 11

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.560968Z digest=sha256:c601265756496c9825e1a21656d9c7d2ea4fda74b577e9594309a93f9d10f831

Observation eee0b8cc-c682-4203-98c8-92d91a747822 · outbound

This paper cites Rational versus transcendental points on analy tic Riemann sur- faceses, manuscripta math.

Extremal functions on moduli spaces and applications Rational versus transcendental points on analy tic Riemann sur- faceses, manuscripta math

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.761357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8ed48148-233c-42b0-b149-fd857bd4c1d4 · outbound

This paper cites Golovanov, A.

Extremal functions on moduli spaces and applications Golovanov, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.737024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T16:22:39.580800Z digest=sha256:b87993443e07a5fe97a5ae280d24428f73555b69054e51b0f83efe0afb0c06df

Observation 0d076b74-da27-4141-bb8e-6f56500781f9 · outbound

This paper cites On packing of Minkowski balls, Comptes rendus de l’Ac ad/acute.ts1emie bulgare Sci., Tome 76, No 3, 335-342 (2023).

Extremal functions on moduli spaces and applications On packing of Minkowski balls, Comptes rendus de l’Ac ad/acute.ts1emie bulgare Sci., Tome 76, No 3, 335-342 (2023)

Reference 14

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation add91363-d6db-4f16-931a-abb0a54d1367 · outbound

This paper cites On coverings by Minkowski balls in the plane and a dualit y, Comptes rendus de l’Acad /acute.ts1emie bulgare Sci., Tome 77, No 6 (2024).

Extremal functions on moduli spaces and applications On coverings by Minkowski balls in the plane and a dualit y, Comptes rendus de l’Acad /acute.ts1emie bulgare Sci., Tome 77, No 6 (2024)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:22:39.679695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.