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Paper Citation Record · LEDGER

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions

As of 24 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2505.21989.

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

pith.paper-citation-record.v1
2505.21989 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:35:49.779207Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:02:38.695704Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:37:48.333115Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf5f4f91-6b1b-4ae4-a775-2f397b4f17f2 · outbound

This paper cites On overpartition pairs into odd parts modulo powers of 2.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions On overpartition pairs into odd parts modulo powers of 2

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.134737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:34:20.088037Z digest=sha256:54e4299d09e852837c9d3e478aba1dfcfe5932a203bcc3202d1ef635110360b1

Observation 7e05ec12-7ff6-44b6-8574-fa9bb621a3a7 · outbound

This paper cites Some Properties of Overpartitions into Nonmultiples of Two Integers.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Some Properties of Overpartitions into Nonmultiples of Two Integers

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T13:34:20.219433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:34:20.219433Z digest=sha256:64b08c7726158848ef545c5a10dc5f314c8e817b5b8e69292b1f741b9d0d01a5

Observation 0edfe0d5-1816-4926-9e61-5515d9d28439 · outbound

This paper cites Alanazi, Augustine O.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Alanazi, Augustine O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.952054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:46.963854Z digest=sha256:dd5ba1e1d6e7d7142c475939bcf3acea3770eb24e04ec2e2eb534388b2f84e2e

Observation c7221263-1bdf-4ce1-baec-ccd10857b981 · outbound

This paper cites Congruences for ℓ-regular overpartitions and Andrews’ singular overpartitions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Congruences for ℓ-regular overpartitions and Andrews’ singular overpartitions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.664817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:47.062914Z digest=sha256:5aaf41fba6a03c7b41b18d0d2cf6d658fa5b72a510b07bf738d08dbd7cd30fa7

Observation 1849dc16-9e4e-4e56-ad1f-690f734cfceb · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:54.444739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:47.251832Z digest=sha256:afcdd018aecb07e797eb7bad91bdc7a38577fa753b4c01b5d58b13ee98c7727b

Observation aad52e4d-b9db-48f0-9df5-38d13705de1b · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:54.277770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:47.607432Z digest=sha256:ce3a66bfc22d07af385082efe39cfb12f81d6f45e54880b1f29f1ad59359ba4a

Observation 6041e764-4b18-4071-9c42-b1f47550d9e5 · outbound

This paper cites Overpartitions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Overpartitions

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.066766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:47.734833Z digest=sha256:d6c5f5c6043ea90124dbe96a3df3ab3e64910e8b48a23a029dae5459a4b5abca

Observation 728ba3c6-d93b-43f3-9dd9-c77c657cd284 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:53.861946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:47.836627Z digest=sha256:5cc04f35dd119a592af5e22e0a1566db00d3a5e1d83f5e5af297bc562fa041bd

Observation 08371918-c01c-4a56-be55-739b09df19cb · outbound

This paper cites Arithmetic Properties of Generalized Cubic and Overcubic Partitions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Arithmetic Properties of Generalized Cubic and Overcubic Partitions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T13:35:47.939317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:47.939317Z digest=sha256:4d020e6ea0143c412dd03ea58a04d93c9fb5a633573ce29c4aad096deb73d910

Observation e0315e1d-0bb0-46b9-b21b-90f921bfd5d7 · outbound

This paper cites Fortin, P.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Fortin, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.646470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.090615Z digest=sha256:7776703d36b5105cd06ad40c5379d885d6a201f480fd525367212bec384ae0eb

Observation 34d4f671-a69d-40a2-9f45-ed5fd5407b8c · outbound

This paper cites Further results on arithmetic properties of biregular overpartitions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Further results on arithmetic properties of biregular overpartitions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T13:35:48.167678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:48.167678Z digest=sha256:d1c220fb01fe12b4f52b989cea42f36ce7c64d1ab16502c2f003cbcc2a827ce8

Observation f8934ea1-deed-4b80-ad2e-e517dec30b45 · outbound

This paper cites Hirschhorn.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Hirschhorn

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.442457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.280129Z digest=sha256:4c7c9efccd3699dfea2c5fa4642ae586080fbb236a1271fa26058b0953010431

Observation 5570a4e9-9b2a-4e9a-9ac4-d1828c99b9a6 · outbound

This paper cites Hirschhorn and James A.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Hirschhorn and James A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.235842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.397101Z digest=sha256:8620dd1e82545709df3041c2b30b93323a965f75b753736129ec77a4a04656f7

Observation d2d000f0-354d-4b98-ba60-645ee54e7f24 · outbound

This paper cites Hirschhorn and James A.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Hirschhorn and James A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.956088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.535784Z digest=sha256:7141b20b84f5895635b591bb6193dacfe958553bdac34449776d65f401e5c2be

Observation 19809751-804b-4c91-8fae-92cdd4e0a80e · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:52.683326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.627717Z digest=sha256:f48a1a3b197f2d82eddad6d08a35f737fbfc700aff0fbf88c85f0f2a44909f8a

Observation 7f0b22b9-4d80-4c38-ba60-990166cacce2 · outbound

This paper cites Gordon’s theorem for overpartitions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Gordon’s theorem for overpartitions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.530959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.744748Z digest=sha256:2e2b610dadbb3452f7587efc51a5a502729541615e33b7fb534bf12a8833d903

Observation 79dbadbe-d8ce-40fa-8103-8b142142b9d1 · outbound

This paper cites MacMahon.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions MacMahon

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.285776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.838230Z digest=sha256:c64ae951744368b20a5de269b27fa23195717f03a3894f182a2df609443f5099

Observation 9074e1c1-647f-43df-b387-cc2c54d0949e · outbound

This paper cites The overpartition function modulo small powers of 2.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions The overpartition function modulo small powers of 2

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.103947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:48.968047Z digest=sha256:d386a3ced2dec01aae20e0555c8f1b3a4b04233f469340599e29932e744fae63

Observation f4e8baf1-58ab-4d42-aa78-3cf9fafbbdcb · outbound

This paper cites Nadji, Moussa Ahmia, and Jos´ e L.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Nadji, Moussa Ahmia, and Jos´ e L

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:51.819748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.124199Z digest=sha256:4df3822255e7575a6008ed5106a9bc5061d90f54447e12756ae933807717964b

Observation a2d076ef-0f85-4077-9652-57948974b8e8 · outbound

This paper cites Infinite families of congruences for k-regular overparti- tions.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Infinite families of congruences for k-regular overparti- tions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:51.600208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.195930Z digest=sha256:1b05e35a4d6b3cc89cb3a07a0eef784cdc4e13b8d4ad868869d22ca056ccca33

Observation 48df919e-323a-4f98-8315-6db8a356e7e7 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:51.435319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.299909Z digest=sha256:8fd4d9b9ea3116287c86a3461712eff76a14c6feaed8abf0b857b99a110c8bfb

Observation 602a01de-67e5-47fe-a6cd-5f1c208cb6a8 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:51.205796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.372316Z digest=sha256:4fd17092991398b914984206af8c9e700140739458d74f3c22db3cea78a2d0d4

Observation c9b510b3-be39-4768-8357-de110df90681 · outbound

This paper cites Congruences for the coefficients of weakly holomorphic modular forms.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Congruences for the coefficients of weakly holomorphic modular forms

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:50.982394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.451900Z digest=sha256:c14fc2ac8bca272ec4bfb66a5f3231e5daf763deeaa2d4b4fe978856d2ea4751

Observation bb12b6b8-68b8-4f7b-afe2-0e26b4732009 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:50.690709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.566995Z digest=sha256:bd17f9d0bf83c6e0c6f586ae5f1a51a4dbcd1c38cf91cd4625d4ec93aafb2922

Observation 838ae587-23b6-4314-ad42-88c896793e23 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:50.451342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.672620Z digest=sha256:ee5ca7ad0e18753b2eb9e9da188e6b11c1a2a304daf7c96a9bb08141330b91a4

Observation 827edff9-9143-4e5c-a97c-08b516b56f09 · outbound

This paper cites an unresolved cited work.

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:50.164670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T13:35:49.779207Z digest=sha256:d5bdff6cefd9e9764c51f81520b50c04ca7c8190791340349ffb087bf045ba6d

Pith citing papers

Observation 2f931bce-0efc-4966-8fe9-359fecc9b6f1 · inbound

New Congruences on Biregular Overpartitions cites this paper.

New Congruences on Biregular Overpartitions Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T21:02:38.695704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:02:38.695704Z digest=sha256:c6c9d282a43fcb3727316fc9ec2fd3ca24538ffdeb1f1f19d431974c244d6825

Observation e7ffdb79-35f3-43a0-afff-2f4151fde800 · inbound

On Some New Congruences For Biregular Overpartitions cites this paper.

On Some New Congruences For Biregular Overpartitions Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:37:48.412676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:37:47.066504Z digest=sha256:2477827508a8a0890e42d4723d7e8d5c7a03a3911268719a55ccf5a8c7fd99dd