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Paper Citation Record · LEDGER

Transcendence degrees of fields generated by exponentials of products

As of 8 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2506.01123.

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

pith.paper-citation-record.v1
2506.01123 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:57:41.412111Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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 fuzzy5
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7eff2922-bbcf-4a58-b96a-4a8a15c82df4 · outbound

This paper cites International Mathematics Research Notices, Volume 2009, Issue 5, 2009, Pages 860–886,.

Transcendence degrees of fields generated by exponentials of products International Mathematics Research Notices, Volume 2009, Issue 5, 2009, Pages 860–886,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:57:42.545110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:40.922164Z digest=sha256:0b30e01ec820ee9beaead3cbbf191de9d714d79dcf5040f897bde8d698370256

Observation 2ccd271d-da66-4d42-831c-59c04d63d1bc · outbound

This paper cites Springer Lecture Notes 1752.

Transcendence degrees of fields generated by exponentials of products Springer Lecture Notes 1752

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:57:42.383458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:41.042866Z digest=sha256:7cdf88c6bb60eea091a02b571d13d4f118ae31ca01341a68853536be4c05df9a

Observation 033f0ff9-843a-4af8-96ed-c821794d3fa3 · outbound

This paper cites To appear.

Transcendence degrees of fields generated by exponentials of products To appear

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:57:42.163105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:41.132899Z digest=sha256:ff6cd41a0c67b7f43d68a52793393aec51a4c984a36431f5178fdd7845240579

Observation 93421b40-d841-40db-9bbe-62cd9649ef79 · outbound

This paper cites Mathematische Annalen, Volume 341, pages 789–824, (2008).

Transcendence degrees of fields generated by exponentials of products Mathematische Annalen, Volume 341, pages 789–824, (2008)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:57:41.973842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:41.234308Z digest=sha256:1fb3643ce0526d48eafdf12477cbeb10463477a3bd55ef8e6d890906a8dd8a58

Observation a29a520a-8cb6-41ef-936d-2c6795977288 · outbound

This paper cites hautes \'etudes sci.\@ publ.\@ math\'ematiques 64 (1986), 5-52.

Transcendence degrees of fields generated by exponentials of products hautes \'etudes sci.\@ publ.\@ math\'ematiques 64 (1986), 5-52

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:57:41.818915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:41.319709Z digest=sha256:9df2211004785ef9e772a1a874b56eb6c32d23bb74f4ec665b5a7c6ccbc22a9f

Observation 8c16c0ff-96eb-4503-8e7e-8b98beffc720 · outbound

This paper cites an unresolved cited work.

Transcendence degrees of fields generated by exponentials of products Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:57:41.630751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:57:41.412111Z digest=sha256:a39c7c56aac2bb7258a771e9edfab3fc94277daa4b004f0375662c7ef8f6d5d7

Pith citing papers

No inbound Pith citation observations are available.