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Paper Citation Record · LEDGER

Machine learning the arithmetic of Boyd's Mahler measure conjectures

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.00615.

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

pith.paper-citation-record.v1
2608.00615 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:42:39.482613Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy16
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 69138581-5c4c-4214-810c-05fb5cc42a2c · outbound

This paper cites A numerical approach toward the p -adic B eilinson conjecture for elliptic curves over Q.

Machine learning the arithmetic of Boyd's Mahler measure conjectures A numerical approach toward the p -adic B eilinson conjecture for elliptic curves over Q

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e0054700-b9fc-45d2-98b2-6e5c3929fa63 · outbound

This paper cites Syntomic regulators and p -adic integration.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Syntomic regulators and p -adic integration

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c82ce014-6338-4ff7-ba7d-2989a9b67ff4 · outbound

This paper cites an unresolved cited work.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:42:43.072109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 41c7e81b-d783-4da1-ac1f-701ce1ee8b4c · outbound

This paper cites Version explicite du th\'eor\`eme de B eilinson pour la courbe modulaire X_1(N).

Machine learning the arithmetic of Boyd's Mahler measure conjectures Version explicite du th\'eor\`eme de B eilinson pour la courbe modulaire X_1(N)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.956573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.137611Z digest=sha256:427e44846e34a685c0693d10d6004e8fa72ec6ac93b514118e6b5ddfb8b825bd

Observation a641b7be-02c9-41f5-8522-5a50a4628830 · outbound

This paper cites Regulators of S iegel units and applications.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Regulators of S iegel units and applications

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.821775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1405b691-e098-408b-bf48-a0b908aebada · outbound

This paper cites p -adic regulators on curves and special values of p -adic L -functions.

Machine learning the arithmetic of Boyd's Mahler measure conjectures p -adic regulators on curves and special values of p -adic L -functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.672092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.244735Z digest=sha256:0b758c399daf78a7434b0a83930c347f0d715c5ab58ad983cbde1e44be16c5ff

Observation ea03ae84-7283-4075-9522-4a12195eb3f9 · outbound

This paper cites Int2Int: a framework for mathematics with transformers.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Int2Int: a framework for mathematics with transformers

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:42:39.799963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.318523Z digest=sha256:faccdf940b1aadc1e72dea875d104164996eeff100d5bd351f371bb78a15e64f

Observation c2fee470-9f7b-46d4-9ae8-23a84e97a5d6 · outbound

This paper cites Deligne periods of mixed motives, K -theory and the entropy of certain Z ^n -actions.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Deligne periods of mixed motives, K -theory and the entropy of certain Z ^n -actions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.574035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b7bcb9a3-d48c-4f38-9279-0d0e08cd517f · outbound

This paper cites The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves.

Machine learning the arithmetic of Boyd's Mahler measure conjectures The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T00:42:39.653163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.436107Z digest=sha256:b4014af59d8a37d5774a8c46c5ec372e5aecd76bc47609216c0d2b0cd4ea24e7

Observation a513c673-2811-47de-9bee-d3e9c7568a9d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Adam: A Method for Stochastic Optimization

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T00:42:38.472181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9df19da8-696b-4530-a7dd-3ac62c1badbd · outbound

This paper cites an unresolved cited work.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:42:42.425189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.603231Z digest=sha256:2fa36ca38af37045b52135fe06aa534c444a029eab107a5ee2f2088e600d994e

Observation 863a64da-a2a5-45e5-850c-df52575462aa · outbound

This paper cites Lal\'in and Mathew D.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Lal\'in and Mathew D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.318225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.686902Z digest=sha256:64e748fa843fb2d445f9be7ff7af4c1c65fb86d3a4d1a7abcee60367c4df7c31

Observation 5d5c1c16-7096-413b-bf58-5632b2d7c46f · outbound

This paper cites Lal\'in, Detchat Samart, and Wadim Zudilin.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Lal\'in, Detchat Samart, and Wadim Zudilin

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:42.194815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.816207Z digest=sha256:6fc861c9116beaf3e840e3bcedceac2829f8c21dcf304e3dfb4dbc0d0412510e

Observation 4fee5ef0-3e0d-4073-a6fd-2d74d427a643 · outbound

This paper cites Mahler measures and q -series.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Mahler measures and q -series

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:41.979787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.896425Z digest=sha256:7f459f0e4d223f9acd550282cd224e5a40a470ac4d8bfdd7e0ddfc34ad43ed39

Observation 943ba848-f423-41a2-804b-9c6bb292e572 · outbound

This paper cites Elliptic dilogarithms and parallel lines.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Elliptic dilogarithms and parallel lines

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:41.690866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:38.969521Z digest=sha256:46c93a611fa52f56d328fa63c390c3f6a83cd7a7e2ffeaff51e0ca401b2bfd77

Observation ea14b95d-168e-46b7-905a-c8fed049de4f · outbound

This paper cites Bordeaux.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Bordeaux

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:41.344258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.054075Z digest=sha256:ca346893fcbbcc401405e5643f0704b950aee7054b4594666be5205e8e239af3

Observation ff162d46-3cd8-4cd2-bd73-c63bbb311f47 · outbound

This paper cites Heuristics for the arithmetic of elliptic curves.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Heuristics for the arithmetic of elliptic curves

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.096547Z digest=sha256:9106d9550633f50b472814e35618251b7021f2e89fc387420eac2a86e625be5a

Observation 8e17d7c3-8bce-4349-81d4-24dfdcc85edb · outbound

This paper cites Modular M ahler measures.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Modular M ahler measures

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:40.756923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.175757Z digest=sha256:96fde77dcaf3a0d483cf30f4e81ffe9b9b0b7445a790332bcb554a431a4f5512

Observation 850a5bfa-9adf-4c8c-9e1d-417e1be760c0 · outbound

This paper cites Rogers and Wadim Zudilin.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Rogers and Wadim Zudilin

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:40.511716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.225042Z digest=sha256:4c63cf965e0f8ad2f3780137fa2c8d72e0186dbee5d3f15e5785c5b19172ab81

Observation 35b3eab3-62ff-40f8-8e3d-bc5aa074316b · outbound

This paper cites Rogers and Wadim Zudilin.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Rogers and Wadim Zudilin

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:40.242102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.282635Z digest=sha256:df8e3cc2668a188036ff6e832c1717e80f07c386c039c59a3ac4a419a6b93281

Observation a85a2d16-8a19-40df-bf69-9dd953365b57 · outbound

This paper cites Attention is all you need.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Attention is all you need

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T00:42:39.408037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T00:42:39.408037Z digest=sha256:ab70228554295c6293f2ac7345e8ed510989e6cd16b508af474de7941d9ead71

Observation cb60094e-e37f-4979-8cb9-5c81da66724f · outbound

This paper cites Regulator of modular units and M ahler measures.

Machine learning the arithmetic of Boyd's Mahler measure conjectures Regulator of modular units and M ahler measures

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:42:39.947869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-05T00:42:39.482613Z digest=sha256:ce5b51908be49312b21413f31888b64e08792a0a01e4b8317f0588d5784b8d14

Pith citing papers

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