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Paper Citation Record · LEDGER

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers

As of 12 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2501.13693.

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

pith.paper-citation-record.v1
2501.13693 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:50:12.083816Z

measured 9 of 9 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

9 of 9 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a04e91cc-dc40-418b-9e8b-076a11112dfd · outbound

This paper cites A note on quadratic cyclotomic extensions.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers A note on quadratic cyclotomic extensions

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:50:12.154033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.041882Z digest=sha256:6ec2db5927f0fc2c18d77efa7a4314c602cfdfe523666468d5d66f548415b4e6

Observation c85b503e-0cf6-4ecc-bac6-5cea8e20a9d3 · outbound

This paper cites When is a 2-Power Cyclotomic Extension cyclic?.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers When is a 2-Power Cyclotomic Extension cyclic?

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:50:12.131057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.048312Z digest=sha256:7677e2e32f4dc804936a2906688a00e7002e0cef5e44a42553122d8db7bbf428

Observation 15d75a55-a55b-4516-95b0-472581c64e17 · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:50:12.261747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.053903Z digest=sha256:1e463f08d849d393a916dc50d0eeb2ed6e1b294bf2d246114348693280e7404f

Observation 64f16e39-9dbb-4e95-bc97-70d3950c1331 · outbound

This paper cites Björck and V.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Björck and V

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:50:12.247599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.059226Z digest=sha256:117d1e87391b783ecab8e8930da79614d4584839c4542d590992c0e30edf594b

Observation 9f4bee5b-7c9a-441c-82dd-4de8d7dd463c · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:50:12.232874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.063788Z digest=sha256:3839da3600aedbff41201d1b6341c8580cc466848fdea9b1b7c86185b0f404cf

Observation 42c3677e-266a-46ac-82ba-59e187b6d374 · outbound

This paper cites Benjamin and D.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Benjamin and D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:50:12.217901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.068679Z digest=sha256:83144ea0ea0d474bc1b1c8bc77223d9a34ea1fd9c9e1c92054e67178a98ec9e4

Observation d0fbb003-ca92-4f2d-a7c3-d4404e0a9341 · outbound

This paper cites Journal of Physics A: Mathematical and General , 37(3):657, 2004.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Journal of Physics A: Mathematical and General , 37(3):657, 2004

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:50:12.202830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.073399Z digest=sha256:cdc90b299fd9831e1e27d8cd73b6bc0459c1dc2718de88f48d2e528ccaddddec

Observation b6336626-6bcc-4b6d-8d0d-3ca291137008 · outbound

This paper cites Integral Transforms and Special Functions , 15(1):13-29, 2004.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Integral Transforms and Special Functions , 15(1):13-29, 2004

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:50:12.186270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.078899Z digest=sha256:f9e74c1db4313ffdab29ece1d2debd0c5f086a3f049ea83a54a4ca7993449ea8

Observation 61542ffe-e572-43b0-bbc8-ecdbad25956b · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:50:12.170045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:50:12.083816Z digest=sha256:969f4a703a98b7b2c7a48d47fb6e4d73c68c032d233c2be01f47ab41d03eb0e4

Pith citing papers

No inbound Pith citation observations are available.