Paper Citation Record · LEDGER

Modular curves and bad reduction

As of 2 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2604.09536.

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

pith.paper-citation-record.v1
2604.09536 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T16:25:17.976007Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-02T06:30:47.504484+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

6 of 6 outbound references displayed

verified exact0
verified fuzzy2
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8370da8-5749-4627-9f73-0d4906dc2ab8 · outbound

This paper cites an unresolved cited work.

Modular curves and bad reduction Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-17T15:29:53.610241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Observation 48bb789a-1674-4371-9bb9-3337d9648718 · outbound

This paper cites an unresolved cited work.

Modular curves and bad reduction Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-17T15:29:53.607532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Observation 1cd4e823-cf74-4610-98e6-ac91c5511554 · outbound

This paper cites Number Theory 51 (1995), no.

Modular curves and bad reduction Number Theory 51 (1995), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T15:29:53.604685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Observation 6f638a20-a953-4046-b103-a8df573b3580 · outbound

This paper cites an unresolved cited work.

Modular curves and bad reduction Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-17T15:29:53.598891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Observation 537b9732-07e2-44c3-83fb-cf9edd7328c4 · outbound

This paper cites an unresolved cited work.

Modular curves and bad reduction Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-17T15:29:53.595941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Observation 28862d8c-623e-4f6c-ad91-92afe061ca4d · outbound

This paper cites Korean Math.

Modular curves and bad reduction Korean Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T15:29:53.601739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

Pith citing papers

No inbound Pith citation observations are available.