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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:20.088037Z digest=sha256:0cee10cb4fcbd2cc0adc24465e20d4f4d7ba84d041ff11c299b024c0c0b506ee

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:aebf35ac677c9d2833f9b3cbc8b95aa18054a5483be2f7ee9fe1948ece733a1d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:46.963854Z digest=sha256:be6af42d37a996569cfd85dc6ca8e52d6c5798596609df70912aa9bd7fc6c4e9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:47.062914Z digest=sha256:d48d2a50d37eba175f0d44d1a39bd4c3079d163d15faeb40978e8cf01f09562f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:47.251832Z digest=sha256:29d6f50d57dda57868b0d8761cbd20aadb5d41119b59dc140848841bcd0ea1e9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:47.607432Z digest=sha256:b40aefed8806391e22566ab601c8304949cca1071b77c138977edca05a1cd59b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:47.734833Z digest=sha256:1dee8c681473572bfa2d24e60f5b51476b1e93613d3197a77fdac31ec29b6ddf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:47.836627Z digest=sha256:3a3b001d152c8b9abb046420ce67fee0ef4f8ab99c4e53fa59522d32a74dd01b

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:af48db60c23fec3e5dba47792b7bcddc79939f95dbd08ac33d3c0b5070857c70

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.090615Z digest=sha256:66e5812f2d9046aa144bd4460f7f646741c03e4d9ef1cd74f61630ea5d5bff6d

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=sha256:2c64bf621114ed7bca6c2d9ad0ab65d324b1e97590fd05088c27b7b01d7e75b2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.280129Z digest=sha256:27085e3880dba34cbf6f15edbaa794c85721637036aa825f365665f48764dcf0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.397101Z digest=sha256:2b61c2f1138fadc5980bc0a961181ae241cbe9abdb0fa3a3fc6b2ad90096bd81

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.535784Z digest=sha256:aa3082561587afcdc0c2ad0dd3b7442cae52873bf1cc729848bce5bda8332156

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.627717Z digest=sha256:822c4497267923410a11bf073be82f83d4275afee47b805331f5d8be7486d6a7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.744748Z digest=sha256:a7c21252f0e69cca43b308750697cfcbdeac707dc309c5de52edf077b5540773

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.838230Z digest=sha256:b1007074553a547978f6e519b8f2a1b1bef946e6099538d59ef615e73a9aa6ea

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:48.968047Z digest=sha256:0427dbc77f39dc0314490fbb4d9a61edb692afe61b0779568937eb3a657d5400

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.124199Z digest=sha256:acd0bc69a965068216726b30868117b9a2ffbd88ab9573c6aaeae9921ebde141

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.195930Z digest=sha256:4d7cba8e0dc3fb3ce69398887b7b6d38cd4ef68e3446c8872d8f1804c677ff6a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.299909Z digest=sha256:e0fa8dc51873bfd35fa82285a4e345d2c8d2029c11c0abb22409c9ca2fe249a2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.372316Z digest=sha256:d13eac40bf691183d71176c1173e2b5d9b8598dea9603e943b948e216a0cbc91

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.451900Z digest=sha256:f6f638e9463cb7faeb0b6b806003832841a784af06dc40aac4954e9f3ad573e3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.566995Z digest=sha256:aac116dad44620237c4fd0bfd792383e905518ed6fe6569837391c85b18940af

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.672620Z digest=sha256:a75d0329335fa4eaad952e2b7058874225da6f0a23a6acb0f686d637350810d8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:35:49.779207Z digest=sha256:c88ce98958a7988ec3b62036b4ba22a3884537318c9d947e11db1bfd87459743

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=sha256:4b6528cffbb5f29b370d1b8b3106db9dee3f3865e2c5db040ea81303ead313ec

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:37:47.066504Z digest=sha256:2a5c26313996bed52f2318d2c64469dcaa1e5b35c40654841949e03f4c26221d