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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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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:a2fd8c6be95c47931f12d07073421552c171abc85a957cfbd47620f09d66c55d

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 2026-08-19T06:32:44.657259+00:00.

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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.763276Z digest=sha256:419fa546ff794d742bad0924ecd8bc1e2385bf192807d0158843e7a15c5fe626

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.767370Z digest=sha256:478d914c06f91a4c8ac9e6f9fdc16121f6cc34bf33c12e3ec7d17c4e73f6a93c

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.785980Z digest=sha256:2e7411c3f502f0c5e67e6fdf766697739ddc686429f8c95cd68c2c0aaf3cc9b2

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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.801769Z digest=sha256:c57c288dd6c4d94d025300aef18e382d0418e14642884af323b692df496e3ed8

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.809948Z digest=sha256:c9206caf02bf48301aa9a12962dae77cf1feafac8128ac3a25145d6362c20827

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.815271Z digest=sha256:b63759120595f9bcbb5f077e00df8598115ec55ff6c511c0f4c311fea8b9ed17

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.838684Z digest=sha256:fa1efcee4f02cff151ad87a9b9531a05d9fc8c7b7ef21b1e0231a824728ba070

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.844057Z digest=sha256:65ffa429189415f61d5b3735f156a9a03a332b9098eb639777a05202570b45fc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.848244Z digest=sha256:1ed81fd0f20feab2328d733a64bcdc839aa98507cc9c896e350909f3d9eb86c4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.855733Z digest=sha256:d4da56731a7426b444878aa3108966885cbbc708a03fb6d7a477ea970bcd1dc3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:13:15.861080Z digest=sha256:f60e906e1fca52d4333ac78932cfca1fd6215a65cb27579ff9430010cf7391a6

Pith citing papers

No inbound Pith citation observations are available.