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Paper Citation Record · LEDGER

Notes on Divisibility of Catalan Numbers

As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2502.04619.

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

pith.paper-citation-record.v1
2502.04619 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T22:16:54.955939Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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 exact0
  • verified fuzzy3
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e62c0da6-8910-401d-9182-41cf763ba52f · outbound

This paper cites an unresolved cited work.

Notes on Divisibility of Catalan Numbers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:16:55.065749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.931337Z digest=sha256:19b5f5e3f5a5f3188c86a59b92e29c472dba71785093bd32f620792d6621d7f9

Observation c9376240-2814-4c9c-846a-59307f5a6892 · outbound

This paper cites an unresolved cited work.

Notes on Divisibility of Catalan Numbers Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:16:55.053901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.936312Z digest=sha256:c1dfbe7c7f71bbf9cd98440f23225ae74e45dfab2d282826f5939e105d21cb1d

Observation 7d5824ec-a828-4c58-b545-f6c6f9621bc6 · outbound

This paper cites Erd¨ osOn some divisibility properties of ( 2n n ).

Notes on Divisibility of Catalan Numbers Erd¨ osOn some divisibility properties of ( 2n n )

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:16:55.040359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.940150Z digest=sha256:b00a212847af9b5c1f97a97c61519b1419a68a6006f2da6829c6391b1f45ab5b

Observation cb2bfc44-d311-45f2-922c-b6b2a91e2741 · outbound

This paper cites Hardy and J.E.

Notes on Divisibility of Catalan Numbers Hardy and J.E

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:16:55.027479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.944050Z digest=sha256:741104919fe309ad336a6c6593532fee37b502559504dd3ca99eb9536e18f81b

Observation 9f2b2fe6-76b2-47e0-bd1c-98575bec6d78 · outbound

This paper cites an unresolved cited work.

Notes on Divisibility of Catalan Numbers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:16:55.014090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.948005Z digest=sha256:500decbd86a365a2fa812e5ab11f47620de9c6fe841ac7d922481e456afa6a4d

Observation b6df7bb7-dbcd-4de1-a61c-66f58d8f1658 · outbound

This paper cites an unresolved cited work.

Notes on Divisibility of Catalan Numbers Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:16:55.001691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.951881Z digest=sha256:99512b8ac8fba56797feee44e7cabb3d22fb32b735e05e95986c0552b0b2670f

Observation 7ce7388c-3f5f-4674-80cb-38a2acc27043 · outbound

This paper cites de Bruijn, ”The Asymptotic Number of Prime Factors of an In teger,” Nederl.

Notes on Divisibility of Catalan Numbers de Bruijn, ”The Asymptotic Number of Prime Factors of an In teger,” Nederl

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:16:54.989326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-08T22:16:54.955939Z digest=sha256:3b984611eafeb695c5070130cfc2b68f271f4097b7552ebfb1eb4c889c3a7fa3

Pith citing papers

No inbound Pith citation observations are available.