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Paper Citation Record · LEDGER

Some Bounds Related to the $2$-adic Littlewood Conjecture

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.04110.

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

pith.paper-citation-record.v1
2506.04110 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:03:12.537375Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

20 of 20 outbound references displayed

  • verified exact3
  • verified fuzzy3
  • unresolved12
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c66deb0c-bed1-4890-a878-8617c3bbf4e8 · outbound

This paper cites Aka and U.

Some Bounds Related to the $2$-adic Littlewood Conjecture Aka and U

Reference 1

Resolution
verified exact
doi, observed 2026-08-07T11:03:12.618204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.267660Z digest=sha256:fac2d4d542338a1758ce000ba049107b53a1fe7de1c87e2d1ccef963df3a6a41

Observation ca805171-e6a3-4fb4-b41c-62746c3a58ec · outbound

This paper cites Badziahin.

Some Bounds Related to the $2$-adic Littlewood Conjecture Badziahin

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:13.186499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.276458Z digest=sha256:3dff2b1b90f86fd9c1933aa95284511f3191b413f89800c7107a17a17a796d26

Observation 036d32de-bfc5-4e16-9d6e-0e3b86901a42 · outbound

This paper cites Estimating lower limit in the $p$-adic Littlewood conjecture.

Some Bounds Related to the $2$-adic Littlewood Conjecture Estimating lower limit in the $p$-adic Littlewood conjecture

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:03:12.901142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.305752Z digest=sha256:83e82511c1b2860d636d0a4281584498ccf9115d0d71b2560320f9e8ab0c06ad

Observation 0bd867f8-12c3-471f-ab0b-fdb9f60d1d21 · outbound

This paper cites Badziahin, Y.

Some Bounds Related to the $2$-adic Littlewood Conjecture Badziahin, Y

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:12.385043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:03:12.385043Z digest=sha256:e8e2c5759f195c8d6542e6c7a3e9c325866e69aa42f3fa8a50ee9b09aaf30f1f

Observation cc11cbb9-199e-4f12-8509-266959c32fc8 · outbound

This paper cites Blackman, S.

Some Bounds Related to the $2$-adic Littlewood Conjecture Blackman, S

Reference 5

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T11:03:12.873962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.457567Z digest=sha256:a2bb755d9f3713257a4a2a0da9c37923a03e590f8ece20b69ed977cb2b7991ab

Observation d5f01737-5055-4ab3-9989-092c6177a09c · outbound

This paper cites de Mathan and O.

Some Bounds Related to the $2$-adic Littlewood Conjecture de Mathan and O

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:12.465310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:03:12.465310Z digest=sha256:03384defd33777819ebe78398654aa32b350065c187f2a0ca3eccf301c93f8ac

Observation b258d58f-7a77-4bb4-9b25-f21952ee3ff5 · outbound

This paper cites Einsiedler and D.

Some Bounds Related to the $2$-adic Littlewood Conjecture Einsiedler and D

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:12.471240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:03:12.471240Z digest=sha256:83ce05650bce17cf7cdabb3e441b190dbd07d37cbde8c33d8dc80124a3b144d2

Observation a4c0518c-4f9d-4c12-88fc-4fa2e7d18afb · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.167895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.476357Z digest=sha256:dda056576b81929036f4c2ef0b38be586ad2d6507c1f05ca84ce9cd5e39f7bfd

Observation 93ba8f86-5999-4ce8-a818-0e60ab078200 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.150544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.481371Z digest=sha256:936d839537da526e26081fb4c18c073c8345e385277b1c3e4445d7fe9f714d12

Observation 56421419-5939-4d20-b71b-7c2d426bb2b8 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.132593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.489418Z digest=sha256:ccda3a2b7d19e1beed05a773c2e1e8dc57b201a4f87fa507d9569ef0734cb8b2

Observation 3cb2781b-5edf-4d43-854c-b429dd723e47 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.116046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.496138Z digest=sha256:e7195b4f69935fac60a1f64b283ae1a8fcfab6043a3e22fb2c019ff5a5dd1d11

Observation f8acb2ce-a76d-4307-8164-083bcbee0236 · outbound

This paper cites Mend` es France.

Some Bounds Related to the $2$-adic Littlewood Conjecture Mend` es France

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:13.072360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.507515Z digest=sha256:7e35289bf980bea1063120ab45c8abc75d94ba62c5fba4f6541163faeefd1849

Observation b2716749-469d-44cb-9e61-67c4fd5b956d · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.053812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.512464Z digest=sha256:acb08af81a990799fab0aee304f72a0a8751ff84aef8e85c523423ec51c1f9ba

Observation e240f635-ae63-40c9-a23f-8db5293e1e38 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:12.517919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:03:12.517919Z digest=sha256:d7578ad0688d64097070990655e9c99a045934f3ca68c5e8a2fa1e361853fc18

Observation c2777aee-c31c-494a-a73e-210f6f8fab8a · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.033276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.522202Z digest=sha256:ca5149103dbe049a0ddf5dcb40a0ebc39246e2025c6a3ae40b4166ea45fd9dae

Observation c4b36613-1416-4ca3-bee4-6829fea84ba1 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:03:13.015877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.527759Z digest=sha256:9f56b871c9c25019d0ca3d5f1ea9e7b90af2f7e9eb8cbc47487a1500740b66da

Observation 949f85c6-310b-4e78-932a-1aac60ddb0bb · outbound

This paper cites SageMath, the Sage Mathematics Software System (Version 9.2) , 2021.

Some Bounds Related to the $2$-adic Littlewood Conjecture SageMath, the Sage Mathematics Software System (Version 9.2) , 2021

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:03:12.993892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.532317Z digest=sha256:942433d7c784f02cd2cfaa742099539f40e7125f08109979c8ee5a4abd22f14f

Observation 12ee35c6-d5e9-4d87-a626-59c65c7e3266 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:03:12.787522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.537375Z digest=sha256:f2095fe9956df4bb56ef6862ffbb69ca3f0e516ad2bf7ef40977db78ea3375c6

Observation fe2c13ad-6cb7-4ed5-ae3e-b1127c914693 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 1998

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T11:03:13.096313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:03:12.501835Z digest=sha256:0b45ff0bbfef4d03b0d228b13697c3c95bf0fb7ea05d56ec9ac4244d0832cd15

Observation 4026bc8b-d789-4b82-9212-299e770b4ca5 · outbound

This paper cites an unresolved cited work.

Some Bounds Related to the $2$-adic Littlewood Conjecture Unresolved cited work

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-07T11:03:12.292174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:03:12.292174Z digest=sha256:2d3ba68a7eb13299f885b991ecdbb56ccde2ab15a22c925ac7276c59443951f8

Pith citing papers

No inbound Pith citation observations are available.