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Paper Citation Record · LEDGER

More on consecutive multiplicatively dependent triples of integers

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2411.12009.

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

pith.paper-citation-record.v1
2411.12009 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:11:19.607217Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:57:17.266590Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T16:57:20.069394Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact10
  • verified fuzzy5
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97f73b1e-3dae-4fcf-850e-12dd23500337 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.843845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.498573Z digest=sha256:9951e6c9437ab63f06255660066e1de170aacf26818f7b1f72ecb65cb68b9771

Observation d903aec9-4f05-4b6c-a1d8-39ce7a7b2fdf · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.829092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.504519Z digest=sha256:dfbfc86fa44291ec5525bf3671111bad40cd7a9d9e596ce958904d0ab36c6b4d

Observation c1974ff5-1ad7-4a73-afcb-b4e3a44d44b5 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.509778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.509778Z digest=sha256:b0d131488074607e3dc2d5b1701339ef072e58c45e9baab67c5525b086d983aa

Observation 9b8e085a-4a6a-472e-af50-5863087d6c27 · outbound

This paper cites Bugeaud, M.

More on consecutive multiplicatively dependent triples of integers Bugeaud, M

Reference 4

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.804251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.514508Z digest=sha256:e86594561b92318e5e67d546d8727322043ab1716f0c1752d3de48f9d2b1f939

Observation 5ff01a18-938f-4fed-9187-fb9b617b4114 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.519171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.519171Z digest=sha256:95c7c5959ee141fd880f2dbdd0eb3fb4c29b077e9c5baccb11eda67df920595f

Observation 8259086b-0df9-4d65-a2a7-0e1f422ad1eb · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.780168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.524678Z digest=sha256:b4ca12dc0360c188f985e03f9ac193aeae0aed11842dc8c807700e978b62b3c4

Observation 26c375c3-3760-4ee8-8040-91bceb6d54d2 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.529776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.529776Z digest=sha256:25b97fca10dca4e36e7d7d890b889d68f749d9040de8883a03413a3408fafb85

Observation c3a3a14a-37c3-4e5e-bf67-88470a98e3bd · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:11:19.958639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.534611Z digest=sha256:f97a788111a31efd1ce00207f6f6fd170e3671bf22a23e76a2cd2cdb91793def

Observation b88a8442-6c29-4dad-a9fe-7247c375dd2a · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.740684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.544574Z digest=sha256:c6d641db95fb00061134ce26332a2d952c713bf3d5f4d5ccf488119f2975973c

Observation 2c279677-7d34-445e-8eab-3c49157897ba · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.721374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.549363Z digest=sha256:452db3a05a8096f7b12289cd3858f53dcf5dffef549811b3d382484faf93135a

Observation bca6291a-55e1-40b9-8b6b-d361801b7488 · outbound

This paper cites Ljunggren.

More on consecutive multiplicatively dependent triples of integers Ljunggren

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:11:19.943178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.553946Z digest=sha256:6eee830c0effef65f1e0e444184b2159878a58ce1872547618ba90588188ad95

Observation 898516d7-5d47-46a3-820e-df6d88104130 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.558746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.558746Z digest=sha256:34e3c51e25070aee5e80fa1de1f438377deef3f68446363fa9556b475527599e

Observation b6a51d6a-4afb-4853-aaa7-f8806a546be2 · outbound

This paper cites Mih˘ ailescu.

More on consecutive multiplicatively dependent triples of integers Mih˘ ailescu

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.564257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.564257Z digest=sha256:b316c7f725acf27aa5399b6740b9bb2feb694dfdcef630d2a0faa50c8b2942ee

Observation 2ec476eb-6bd4-4978-963d-6ef04c5def85 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.685782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.568759Z digest=sha256:b2cc289a661905a9b3b9033e4290026d26826a2532c19e7a71873102f065514e

Observation bf1e5cc6-ef2d-4dba-bd14-4ebfbcbeef43 · outbound

This paper cites Pappalardi, M.

More on consecutive multiplicatively dependent triples of integers Pappalardi, M

Reference 15

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.669411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.573511Z digest=sha256:532d9021880210511e7f2dc4b39c430eea529b2605980b51268eda04765dcb1a

Observation 2d521e3e-dd76-4294-8efd-bae4e7f01944 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:11:19.925071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.578026Z digest=sha256:5ea005101fda4fd5fe6b181b8678bf4c309de3328c4062a477f5693c89db4f7f

Observation 5e880ac1-39d6-462a-ab2a-01250ffdc9a3 · outbound

This paper cites St¨ ormer.

More on consecutive multiplicatively dependent triples of integers St¨ ormer

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:11:19.908618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.582287Z digest=sha256:3646b9d245731ef66168521a301dc6b604d5ab9f91da0c950a053a666a4e1a65

Observation 774a24a7-b01f-4190-9138-1fc7268a7ed7 · outbound

This paper cites Tervooren.

More on consecutive multiplicatively dependent triples of integers Tervooren

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:11:19.892368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.586958Z digest=sha256:f172751f1756f571b5dc5cea074ac5e5e85e03e4d7ffe88107f3bd61e30deb8c

Observation de21eda1-308d-49fd-b26c-dfc1c81ebc81 · outbound

This paper cites SageMath, the Sage Mathematics Software System (Version 9.

More on consecutive multiplicatively dependent triples of integers SageMath, the Sage Mathematics Software System (Version 9

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:11:19.876644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.592544Z digest=sha256:45e790170a5665ff178d8687573ce6439ddb0074fdecfd4831c63c5732662bf2

Observation 98cd301a-3b32-47d3-a617-7b12b0979650 · outbound

This paper cites Vukusic and V.

More on consecutive multiplicatively dependent triples of integers Vukusic and V

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:11:19.860061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.597168Z digest=sha256:7ce068247f444c8297ddc9541e67f57d9d5b363849c3e14fc1583ef6406aaf1d

Observation 1488b74b-d449-429a-961d-3a3f625d4b82 · outbound

This paper cites Zsigmondy.

More on consecutive multiplicatively dependent triples of integers Zsigmondy

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T18:11:19.607217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:11:19.607217Z digest=sha256:f6cc8065e57b30fbdd80fdf06413d73dd78cde8d5a7b9482087852d4ecb29281

Observation 8dc34142-7c02-40c6-b6dd-159d7803d802 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 1991

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.755678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.539685Z digest=sha256:164110a039a9ae8218cf4a1d5493b41e7ac8ee94b998f86341b6548a6a4d8cca

Observation 8a1ba3b7-317b-4379-a6d2-ead4bf89d9b3 · outbound

This paper cites an unresolved cited work.

More on consecutive multiplicatively dependent triples of integers Unresolved cited work

Reference 2021

Resolution
verified exact
doi, observed 2026-08-12T18:11:19.653683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T18:11:19.601974Z digest=sha256:1da79bb0c150deecc0917891ae60eb26d852fbbc9ba7105bd151df52f0c2adde

Pith citing papers

Observation 7cd6e429-ec48-495c-95f7-512c8104fe82 · inbound

On the Lebesgue-Nagell equation $x^2-2 = y^p$ cites this paper.

On the Lebesgue-Nagell equation $x^2-2 = y^p$ More on consecutive multiplicatively dependent triples of integers

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T16:57:20.182149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T16:57:17.266590Z digest=sha256:c890fc92542df709a61c3585c2a6d5aff99f6f5f1bc0a145e63d93cdd967b3d0