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Paper Citation Record · LEDGER

Further results on arithmetic properties of biregular overpartitions

As of 20 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 3 inbound Pith citation observations for arXiv:2504.21439.

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

pith.paper-citation-record.v1
2504.21439 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:16:50.836037Z

measured 32 of 32 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:35:48.167678Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T16:06:20.127699Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b5308b3-c8fd-4ef1-80ff-86b01aeb7c95 · outbound

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

Further results on arithmetic properties of biregular overpartitions Some Properties of Overpartitions into Nonmultiples of Two Integers

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-16T05:16:50.713576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:16:50.713576Z digest=sha256:6eed6debd881fce7ae7e9a8c48219600c4dd71eb9cf53ef700b1433e5dc03d2c

Observation d1247cbc-e164-4c0b-8f2e-2fbf93c3755d · outbound

This paper cites Alanazi, B.

Further results on arithmetic properties of biregular overpartitions Alanazi, B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.251089Z

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.

source=pdf_text observed=2026-08-16T05:16:50.718825Z digest=sha256:a611ee4a79662dc50270ce0233c734040246e878a3992de4765c0f3f093ef31d

Observation c2dcc07d-14e0-42cc-96dd-bb773e87a292 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.238960Z

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.

source=pdf_text observed=2026-08-16T05:16:50.723672Z digest=sha256:e6dba0f5d89dcf3a0c2b70bce4439cbac2e5d1fffc220cecf71e2f0a38fa43a0

Observation f08a2810-a985-4c29-9872-c493a735a0b8 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.225810Z

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.

source=pdf_text observed=2026-08-16T05:16:50.728042Z digest=sha256:54d82044e2d78cd585398635713a4059d7af6ea73559e317c88a91fd72529204

Observation 27d9facb-e794-4392-8c65-4acd724586f8 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.212794Z

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.

source=pdf_text observed=2026-08-16T05:16:50.732779Z digest=sha256:b82b93a6ddd5ebab5a9b0b71834c89c84173367955c8aa3236757e06d3622488

Observation 2b6b29c1-9dd4-465d-b8b4-ca218be6b8e0 · outbound

This paper cites Baruah, and H.

Further results on arithmetic properties of biregular overpartitions Baruah, and H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.199894Z

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.

source=pdf_text observed=2026-08-16T05:16:50.737558Z digest=sha256:aa058cbb2d98beaf3f391d6ec4bfc85f6aa062b210006ffaae45d7fca9f231a1

Observation 924003e2-a4c5-48ea-8354-f27fb6a64861 · outbound

This paper cites C.Berndt, Ramanujan’s Notebooks.

Further results on arithmetic properties of biregular overpartitions C.Berndt, Ramanujan’s Notebooks

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.186919Z

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.

source=pdf_text observed=2026-08-16T05:16:50.742446Z digest=sha256:8fbdb874c4306a8cbb720f2360d4a9700382071f9d9ed4ef93552045cee6a3bc

Observation c2567476-9c15-4061-9b0b-40908145be56 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.172793Z

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.

source=pdf_text observed=2026-08-16T05:16:50.746235Z digest=sha256:431219f44f753db3973be4e89187c3d82796954fcb09405a5ec011f6edc38f10

Observation 28b8aabc-5125-40ef-8482-351506b40e06 · outbound

This paper cites Corteel, J.

Further results on arithmetic properties of biregular overpartitions Corteel, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.160008Z

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.

source=pdf_text observed=2026-08-16T05:16:50.749879Z digest=sha256:8e8204c3f18a41a725f44ef6a77ec6d8e91b2d42aba5045cb24f3bcb946d35e3

Observation d83a1c04-21ff-4878-b734-ee6892d8d27c · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.146396Z

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.

source=pdf_text observed=2026-08-16T05:16:50.753599Z digest=sha256:64bc781cdb71a9f132cd27a332538221d838a9ca660ebffb392e3606a7c70185

Observation 307a52d2-ae4f-4203-9cc2-62ede7e2de22 · outbound

This paper cites Gordon, A combinatorial generalization of the Rogers-Ramanujan id entities, Amer.

Further results on arithmetic properties of biregular overpartitions Gordon, A combinatorial generalization of the Rogers-Ramanujan id entities, Amer

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.129832Z

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.

source=pdf_text observed=2026-08-16T05:16:50.757446Z digest=sha256:85c3ce7b8178883c181cf0aaccc305bc6e30a27d4c7f7918a9f89821e30cc1e1

Observation 9a4600a0-e803-48f8-b350-b89f764d0535 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.114741Z

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.

source=pdf_text observed=2026-08-16T05:16:50.761247Z digest=sha256:77abbc8a689e252ec5721278e12231ef143d45fc0f70bd73ca5298f93dfe1f94

Observation 881f519a-4809-45c3-a837-5c473d48e3da · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.101010Z

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.

source=pdf_text observed=2026-08-16T05:16:50.765551Z digest=sha256:cfba2cfbac494c1832b67e24b4d9cfc7096ea8c78bfc0b7b6eb713d84d30ecd0

Observation ded7ac77-e332-4e5f-80a2-47e78ffc92ac · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.087834Z

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.

source=pdf_text observed=2026-08-16T05:16:50.769649Z digest=sha256:61a9117c42e8a5a61f50073d68d7a2b79903b77db83f44333329a7a7109e25e2

Observation 982ffaf9-9448-4c5f-bbc5-21eddceef339 · outbound

This paper cites Kim, The overpartition function modulo 128, Integers, 8, (2008) Art.

Further results on arithmetic properties of biregular overpartitions Kim, The overpartition function modulo 128, Integers, 8, (2008) Art

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.076165Z

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.

source=pdf_text observed=2026-08-16T05:16:50.773457Z digest=sha256:be69631ff3c8fb1008e0b0bd04b061511cf46443430c7738821e543e02b0f94a

Observation e1851f1f-a2fe-4f63-8412-81896100e4bd · outbound

This paper cites Kim, A short note on the overpartition function, Discrete Math., 309 (2009), 2528–2532.

Further results on arithmetic properties of biregular overpartitions Kim, A short note on the overpartition function, Discrete Math., 309 (2009), 2528–2532

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.064000Z

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.

source=pdf_text observed=2026-08-16T05:16:50.778216Z digest=sha256:358422b827aaf957e735dcf173eaff99872c2806185256d76776de34d3e1dd68

Observation b08d4c87-f7c9-413a-9ace-083ee745359b · outbound

This paper cites Lovejoy, Gordon’s theorem for overpartitions, J.

Further results on arithmetic properties of biregular overpartitions Lovejoy, Gordon’s theorem for overpartitions, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:16:51.052024Z

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.

source=pdf_text observed=2026-08-16T05:16:50.783056Z digest=sha256:5e4040936e42277c71fe550973030cada84ad905de5560973317148fc32b8e58

Observation 7223ccf9-1973-4300-bbd1-2ef93fa8d060 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.038921Z

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.

source=pdf_text observed=2026-08-16T05:16:50.787186Z digest=sha256:effdaf898df2976c189ef3738800ea2af022d841e2c694bfdacc13e14df36870

Observation 960bb67c-fe8d-4a64-be8e-d60dc6afde45 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-16T05:16:50.873307Z

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.

source=pdf_text observed=2026-08-16T05:16:50.791336Z digest=sha256:12eec664f12c0b3b8a7a878c3906d8c6d99814bf1d1afacf4b6cb18cb788a190

Observation 3fcb8611-31ca-43ac-b66d-f730bcd79fe2 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.025760Z

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.

source=pdf_text observed=2026-08-16T05:16:50.795349Z digest=sha256:30080305a5d0d4be126c9475eb7b7a84a38f730d0aebb235eb9ff18b3ecd6af0

Observation 47bc8034-87b0-428a-85fa-5de7b9a3b533 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:51.013054Z

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.

source=pdf_text observed=2026-08-16T05:16:50.799776Z digest=sha256:e8832f0769d2569d4fae0d4e3fbe045269f3a52bb11fae76e14658e1716df503

Observation 8d1a145d-d463-444f-9334-4ef5111b650d · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.998869Z

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.

source=pdf_text observed=2026-08-16T05:16:50.804426Z digest=sha256:d1bf401303898ed6a067242f4c7abe67c4964aa49ae007508c867dc970c48216

Observation c0f1c367-6111-4591-ac28-a0291a7a0a93 · outbound

This paper cites Some congruences for $3$-core cubic bipartitions.

Further results on arithmetic properties of biregular overpartitions Some congruences for $3$-core cubic bipartitions

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:16:50.893572Z

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.

source=pdf_text observed=2026-08-16T05:16:50.808499Z digest=sha256:ce63cafa08af20f90cfde84e303e7c2f7e2d2c72e992b4c7a52849945a8c5bb4

Observation ad7605d5-4652-41e2-9bcc-d35346b72ce1 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.986068Z

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.

source=pdf_text observed=2026-08-16T05:16:50.813876Z digest=sha256:df462d8f001b2193434fcce98319f5be5b11216c9599b03357989b6aecb311f3

Observation a79bee25-c737-486e-b3cb-ed82809b950a · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-16T05:16:50.818609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:16:50.818609Z digest=sha256:367f72a65b8226e5c33c653e713faa7475c1950480a37c05d09976aee4c30550

Observation f3920647-bffb-4b74-8c81-97d67079b92d · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.965324Z

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.

source=pdf_text observed=2026-08-16T05:16:50.823167Z digest=sha256:666d90beb53cbc22998ef2ec6675333ceaa12cf858f77818df9694a6fda2132b

Observation 30e9299b-6ece-4dc7-8120-a3747e5d142b · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.952924Z

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.

source=pdf_text observed=2026-08-16T05:16:50.827220Z digest=sha256:138dad97129b71e98cbfb60ace96c0a00216e6aedecba38b04c1f3836677c750

Observation 8a2aec7a-f671-4bb5-a2b3-ed24b756d7b2 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.939762Z

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.

source=pdf_text observed=2026-08-16T05:16:50.831228Z digest=sha256:01dfe5871201fbc93e40014dcb8a7a02b09522cb22ff18da47fdc58d88f9bc7c

Observation bb877567-70bc-4080-b754-7dbe66aa97f3 · outbound

This paper cites an unresolved cited work.

Further results on arithmetic properties of biregular overpartitions Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:16:50.923763Z

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.

source=pdf_text observed=2026-08-16T05:16:50.836037Z digest=sha256:4581e2afccfca0139b256126390eda0239653431ab7d6f4b579e6120de8e50f9

Pith citing papers

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

Extending Recent Congruence Results on $(\ell,\mu)$-Regular Overpartitions cites this paper.

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 a8169f24-6b44-400a-8ec2-6607f1fd6620 · inbound

On Some New Congruences For Biregular Overpartitions cites this paper.

On Some New Congruences For Biregular Overpartitions Further results on arithmetic properties of biregular overpartitions

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T20:37:45.912163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:37:45.912163Z digest=sha256:9ac3e63947d6217ecf854eabcc47f1293da65edaf0e43e3c525872bf5a0d402c

Observation 46d70d22-4dc2-4358-9634-bc2c97ce53da · inbound

Some Comments on Regular Overpartitions modulo $2^k$ cites this paper.

Some Comments on Regular Overpartitions modulo $2^k$ Further results on arithmetic properties of biregular overpartitions

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-09T16:06:20.128977Z

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.

source=pdf_text observed=2026-07-09T16:00:43.859628Z digest=sha256:79d2328e4014d3e88112814c39fbd1ecc36afba3fe9079ca023313140b925730