Paper Citation Record · LEDGER

Multiplicative dependence in the sumset of multiplicative groups

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.28857.

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

pith.paper-citation-record.v1
2607.28857 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:31:09.288509Z

measured 20 of 20 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

20 of 20 outbound references displayed

verified exact0
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38202e14-8864-43f6-8d51-1dab92a63184 · outbound

This paper cites Baker and G.

Multiplicative dependence in the sumset of multiplicative groups Baker and G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:06.981815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45a6aeaa-6d0c-4bca-8d57-650e0a24a086 · outbound

This paper cites 1, 135–158.

Multiplicative dependence in the sumset of multiplicative groups 1, 135–158

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.062409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d56d355-ebd3-4f39-b257-4583df9830c9 · outbound

This paper cites 2, 195–217.

Multiplicative dependence in the sumset of multiplicative groups 2, 195–217

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.141154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c99bb80-7f37-463d-bc02-0dbadf882255 · outbound

This paper cites Bilu,Baker’s method and modular curves, A panorama of number theory or the view from Baker’s garden (Z¨ urich, 1999), Cambridge Univ.

Multiplicative dependence in the sumset of multiplicative groups Bilu,Baker’s method and modular curves, A panorama of number theory or the view from Baker’s garden (Z¨ urich, 1999), Cambridge Univ

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.199482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45f5d49a-d552-4e1f-a39b-8b53ef0bd025 · outbound

This paper cites Bilu, Yann Bugeaud, and Maurice Mignotte,The problem of Catalan, Springer, Cham, 2014.

Multiplicative dependence in the sumset of multiplicative groups Bilu, Yann Bugeaud, and Maurice Mignotte,The problem of Catalan, Springer, Cham, 2014

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.249574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73bf9e0c-8d09-471e-8230-8561746cd9c4 · outbound

This paper cites Math.144(2005), no.

Multiplicative dependence in the sumset of multiplicative groups Math.144(2005), no

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.313594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b11dc42-6880-4961-a973-4b7fdef29736 · outbound

This paper cites Elkies,ABCimplies Mordell, Internat.

Multiplicative dependence in the sumset of multiplicative groups Elkies,ABCimplies Mordell, Internat

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.368012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df39f5ed-9cac-4ee3-b12a-b012a55eac9d · outbound

This paper cites 2, 225–244.

Multiplicative dependence in the sumset of multiplicative groups 2, 225–244

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.459111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50c14867-82cf-4bf4-9daf-2626b789537c · outbound

This paper cites Siegel zeros.

Multiplicative dependence in the sumset of multiplicative groups Siegel zeros

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.632203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a0b34db-b137-4725-a3f2-117537db8eda · outbound

This paper cites Math.78(1984), no.

Multiplicative dependence in the sumset of multiplicative groups Math.78(1984), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.843369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2eb88d0-0893-4322-91de-b1c8e5ee5de3 · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:07.962660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1a7a1be-5d5f-4bae-98d1-c8b56023b2d6 · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.110042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6167c13c-9585-4dab-a34d-c067265b37a0 · outbound

This paper cites Schinzel,Primitive divisors of the expressionA n −B n in algebraic number fields, J.

Multiplicative dependence in the sumset of multiplicative groups Schinzel,Primitive divisors of the expressionA n −B n in algebraic number fields, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.271100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59807508-1800-432f-b9cc-ed9b66c8a8dd · outbound

This paper cites Schinzel and R.

Multiplicative dependence in the sumset of multiplicative groups Schinzel and R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.439889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da9b6516-5da1-406c-bf98-d80e4d55afd0 · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.609120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a775b08-5e1e-473d-a9cd-dc934bfecffe · outbound

This paper cites Number Theory27(1987), no.

Multiplicative dependence in the sumset of multiplicative groups Number Theory27(1987), no

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.769986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37001f3e-1f3a-42be-b978-43e0c7962a4c · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:08.931898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d239264e-7d82-4670-914b-e12061e15b89 · outbound

This paper cites 1239, Springer-Verlag, Berlin, 1987.

Multiplicative dependence in the sumset of multiplicative groups 1239, Springer-Verlag, Berlin, 1987

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:09.079135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22cdd5e3-22f3-4342-a7ca-4ea7802fd1d6 · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:09.197087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d14b2e05-2bfa-4e6e-a4fe-1f19a9e97e75 · outbound

This paper cites an unresolved cited work.

Multiplicative dependence in the sumset of multiplicative groups Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T01:31:09.288509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.