Paper Citation Record · LEDGER

Pentagonal number recurrence relations for $p(n)$

As of 20 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2411.16968.

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

pith.paper-citation-record.v1
2411.16968 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:53:36.925435Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:31:38.840741Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T12:31:38.900166Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy8
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c3d299ce-b09f-4d94-b878-1a95bb3a2b31 · outbound

This paper cites an unresolved cited work.

Pentagonal number recurrence relations for $p(n)$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:53:37.202934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e692e4c9-bf95-4608-b12a-9e374f299b3d · outbound

This paper cites an unresolved cited work.

Pentagonal number recurrence relations for $p(n)$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:53:37.186290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb906d6b-c0df-463a-8eae-121475415aad · outbound

This paper cites Bringmann, A.

Pentagonal number recurrence relations for $p(n)$ Bringmann, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.169692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 40f5d5a7-20be-4bc3-be93-606e919bf7cd · outbound

This paper cites Bringmann and K.

Pentagonal number recurrence relations for $p(n)$ Bringmann and K

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.151047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2088f5aa-e98e-4f36-89f7-9b4dec03af0e · outbound

This paper cites Cohen, Sums involving the values at negative integers of L-functions of quadratic characters , Math.

Pentagonal number recurrence relations for $p(n)$ Cohen, Sums involving the values at negative integers of L-functions of quadratic characters , Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.132523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c46b50f-a900-4958-9670-7db0200bf9e9 · outbound

This paper cites https://dlmf.nist.gov.

Pentagonal number recurrence relations for $p(n)$ https://dlmf.nist.gov

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.114221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a284612d-c008-433f-9d11-33139863d999 · outbound

This paper cites Ono, The web of modularity: Arithmetic of the coeﬃcients of modul ar forms and q-series, Conf.

Pentagonal number recurrence relations for $p(n)$ Ono, The web of modularity: Arithmetic of the coeﬃcients of modul ar forms and q-series, Conf

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.094904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3ab160e-1f67-44b5-b003-2afc25775f9e · outbound

This paper cites Rademacher, On the expansion of the partition function in a series , Ann.

Pentagonal number recurrence relations for $p(n)$ Rademacher, On the expansion of the partition function in a series , Ann

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:37.068717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9dab00ac-acbe-4e49-ae88-971718ab5ba5 · outbound

This paper cites Ramanujan, On certain arithmetical functions , Trans.

Pentagonal number recurrence relations for $p(n)$ Ramanujan, On certain arithmetical functions , Trans

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T12:53:36.905974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bddc5234-61f7-4c85-b381-b86b84bb0101 · outbound

This paper cites an unresolved cited work.

Pentagonal number recurrence relations for $p(n)$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:53:37.033286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a501d75e-831d-4979-8bcf-f66c44ddf111 · outbound

This paper cites an unresolved cited work.

Pentagonal number recurrence relations for $p(n)$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:53:37.015275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 014130f2-c501-4985-8379-5b4f1faf53db · outbound

This paper cites Serre, A course in arithmetic , Graduate Texts in Mathematics, No.

Pentagonal number recurrence relations for $p(n)$ Serre, A course in arithmetic , Graduate Texts in Mathematics, No

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:36.987783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e197b274-da1b-4c76-a184-667cfde6751b · outbound

This paper cites Indian Acad.

Pentagonal number recurrence relations for $p(n)$ Indian Acad

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:53:36.967516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation a7ee0efa-f5ae-46e3-8357-92f0959950a6 · inbound

Euler-type recurrences for $t$-color and $t$-regular partition functions cites this paper.

Euler-type recurrences for $t$-color and $t$-regular partition functions Pentagonal number recurrence relations for $p(n)$

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:31:38.907349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.