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Paper Citation Record · LEDGER

Some calculations of centralizer rings of a complex reflection group

As of 21 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.20521.

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

pith.paper-citation-record.v1
2507.20521 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:51:33.555466Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation baa9af98-5e5e-40ed-90c8-ebd97e459742 · outbound

This paper cites an unresolved cited work.

Some calculations of centralizer rings of a complex reflection group Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:51:33.715902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.517986Z digest=sha256:b645d2f76f847f3d71b7de7328631b4563df188ef6c0df2bd296f2529f07f956

Observation 585469b6-1ef7-48c6-b982-4c0554db79c9 · outbound

This paper cites an unresolved cited work.

Some calculations of centralizer rings of a complex reflection group Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:51:33.694515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.524669Z digest=sha256:1eca301c74593cf2f840be1753ea3d8a5e43f091ad11b2e8e401bf7aed92863c

Observation 03d05312-4767-4061-bf24-1341e1ab27bb · outbound

This paper cites Algebra Comb.

Some calculations of centralizer rings of a complex reflection group Algebra Comb

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:51:33.677738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.530142Z digest=sha256:22154e4c2ddfdcca2696ea091b96b5d780b0b2ca2edecfc3a0c6df0f413cd726

Observation 7afbe80d-20ab-46b2-a4da-b3fca282a3d8 · outbound

This paper cites an unresolved cited work.

Some calculations of centralizer rings of a complex reflection group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:51:33.661980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.537498Z digest=sha256:20b9f76b002cba34382d0b6b48f6f9f0b1322d51d5a7534b9c4b93e3f3724631

Observation 44a6a3df-939c-410e-bf51-6d76dfa06cae · outbound

This paper cites 340 (2017), no.

Some calculations of centralizer rings of a complex reflection group 340 (2017), no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:51:33.641719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.543045Z digest=sha256:8214d7e3ceaadd0ee16c196bb7967dda5e6759434bdf54cef5bfe7ca6dda28aa

Observation d3c89d7c-1531-456c-876e-bc1f34cda925 · outbound

This paper cites Centralizer Algebras of Two Permutation Groups of Order 1344.

Some calculations of centralizer rings of a complex reflection group Centralizer Algebras of Two Permutation Groups of Order 1344

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:51:33.604117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.550003Z digest=sha256:4b588490852568ad1182b5c481367c546f0a923f9377bfe136df8fa7148b5d35

Observation 1d1255a1-3046-4221-8fe6-10d912b677a6 · outbound

This paper cites an unresolved cited work.

Some calculations of centralizer rings of a complex reflection group Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:51:33.621874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T17:51:33.555466Z digest=sha256:1c40111a53f5de576261aaf28ba6e34eb05042a90bbfaa2656320ebaa588757e

Pith citing papers

No inbound Pith citation observations are available.