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Paper Citation Record · LEDGER

Integral Representations and Asymptotics for a Family of Areal Mahler Measures

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2608.01951.

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

pith.paper-citation-record.v1
2608.01951 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:13:15.861080Z

measured 28 of 28 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 153a904c-1a87-4fe2-bc17-c0572df1cbc8 · outbound

This paper cites Akatsuka,Zeta Mahler measures, J.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Akatsuka,Zeta Mahler measures, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.239658Z

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 0189b2ce-5f73-47c5-89a2-12c81020c7c0 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.226665Z

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 f0ea44a2-b91b-480b-8b61-9bd178c7c928 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.213742Z

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 b6fdc7af-59f1-4513-bf22-8b831ee7a5fd · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.201242Z

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 d30fee47-52ba-4907-9f9b-43740ceb4159 · outbound

This paper cites On the Mahler measure of $(1+x)(1+y)+z$.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures On the Mahler measure of $(1+x)(1+y)+z$

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T15:13:15.752115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:13:15.752115Z digest=sha256:7f744266c1be791c7657d3baf17334312a6999fdcf3b8ca046a17266a8d8c5d7

Observation 022464e2-758d-47e9-aa58-afb2a02ab79e · outbound

This paper cites Brunault and W.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Brunault and W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.190524Z

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=2026-08-15T15:13:15.757385Z digest=sha256:28d59f305b1e7f0ae1a4ff1c0274cbe49b8dfedd6fe84a69afb3594e3d70370e

Observation e19335c2-a666-4b3f-abc4-09da83cdec73 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.179715Z

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=2026-08-15T15:13:15.763276Z digest=sha256:5a7f95da8e8f80544752b1732b986a0ca3816be209b6655890e9802fb92adb36

Observation 760a50fa-0edd-4f33-9b70-5d63456f8c85 · outbound

This paper cites Deninger,Deligne periods of mixed motives,K-theory and the entropy of certainZn-actions, J.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Deninger,Deligne periods of mixed motives,K-theory and the entropy of certainZn-actions, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.168939Z

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=2026-08-15T15:13:15.767370Z digest=sha256:9a9fd764726e56e6a1d41d7674012283dc1b2dfa76c15c0384074848b0f4f65c

Observation 66959405-4879-4317-bbdd-e9a59c0fc1d2 · outbound

This paper cites Flammang,The Mahler measure and its areal analog for totally positive algebraic integers, J.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Flammang,The Mahler measure and its areal analog for totally positive algebraic integers, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.157692Z

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 eb44a674-c0bb-4589-a711-953c0a99a2c0 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.145953Z

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 4e0172b3-3f6e-411f-a1a2-84d25cc2d086 · outbound

This paper cites Kelley,Areal Weil heights, Int.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Kelley,Areal Weil heights, Int

Reference 11

Resolution
verified exact
doi, observed 2026-08-15T15:13:15.898815Z

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 7c93eee3-3b10-4eec-a2eb-a388ef4126c7 · outbound

This paper cites Kurokawa, M.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Kurokawa, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.133276Z

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 4f40d813-be13-4091-b2c1-1900dcc2afae · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.120473Z

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 9a59e608-5cbf-4b92-a359-49110510aec9 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.108023Z

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 4fc87f0f-494e-4810-8a35-53efa8b10801 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.095905Z

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 bba6432d-8a8e-414b-8315-2cbd3ab58bc7 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.084044Z

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=2026-08-15T15:13:15.801769Z digest=sha256:ad96112a400c935d572f84a5fadacee407fd690bd806d6de5d3e124fc988a524

Observation 40856922-356c-4348-957a-8404bef8e0f3 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.072642Z

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 287742e0-c539-49e4-a189-8c6c2f3f8537 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.060595Z

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=2026-08-15T15:13:15.809948Z digest=sha256:37596b2860aec65ad7fc82a071354d8ae17670701d6a8f938280786986d63e4c

Observation a0db6709-94cb-403a-a6e5-60378e6cca11 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.048050Z

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=2026-08-15T15:13:15.815271Z digest=sha256:e26e8e9bcac16cce335b9abcd3fa9a3e1528ef8dd18009d9f1220d217bef6de5

Observation 23589938-399b-410a-a6f9-d231c3aa39a3 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:16.033523Z

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 3a0907b6-5cd3-464d-aae4-ad4f8acd411a · outbound

This paper cites Mahler,On some inequalities for polynomials in several variables, J.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Mahler,On some inequalities for polynomials in several variables, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.020024Z

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 a4a315a1-6e90-41a8-b554-95d5b8df06c9 · outbound

This paper cites McKee and C.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures McKee and C

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:16.006511Z

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 4c65dcbf-b7a9-4587-af82-5741a5a508b5 · outbound

This paper cites ←-, cited on page 2.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures ←-, cited on page 2

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:15.993682Z

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 b5a62d5d-c704-4ecf-8bf6-3591aab025fa · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:15.978306Z

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 efc25e6d-0ecb-4fb7-942c-0b0a19409130 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:15.965778Z

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=2026-08-15T15:13:15.844057Z digest=sha256:44496dddec0b04947b16bb35081c73feadb37b5a604c2377eb98f52c10bd8bfc

Observation b4c00d14-4a65-4ad3-9500-3351b91b9976 · outbound

This paper cites Ringeling,Special zeta Mahler functions, Res.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Ringeling,Special zeta Mahler functions, Res

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:15.953284Z

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=2026-08-15T15:13:15.848244Z digest=sha256:71933cd18089ec3f6aeba99fcf52b76ad41d124b6796cbe4a360fdc5d66d291c

Observation 4f0752f2-9711-4dee-b879-e6e461eca739 · outbound

This paper cites Rodriguez Villegas,Modular Mahler measures.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Rodriguez Villegas,Modular Mahler measures

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:13:15.940634Z

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=2026-08-15T15:13:15.855733Z digest=sha256:f309805f8540979c21842013605c7ce613c239108bfd386047a64481095645f2

Observation afc6fbf7-4b04-46ae-bedb-98cf1fd94e08 · outbound

This paper cites an unresolved cited work.

Integral Representations and Asymptotics for a Family of Areal Mahler Measures Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:13:15.926649Z

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=2026-08-15T15:13:15.861080Z digest=sha256:bc51599e463b9ead9031c82bee529835a32df8435fd1f0a9dfc36b1200c67e97

Pith citing papers

No inbound Pith citation observations are available.