Paper Citation Record · LEDGER

Some congruences for $(s,t)$-regular bipartitions modulo $t$

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.06642.

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

pith.paper-citation-record.v1
1908.06642 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:52:09.778518Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

25 of 25 outbound references displayed

verified exact1
verified fuzzy22
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b95f41bf-0dad-4ccc-bfb2-c03431acc1e9 · outbound

This paper cites Adiga and D.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Adiga and D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.322120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ce3fab87-b798-4456-9a2b-b6dc7fdafeb3 · outbound

This paper cites Berndt, Ramanujan’s Notebooks, Part III, Springer, New York, 1991.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Berndt, Ramanujan’s Notebooks, Part III, Springer, New York, 1991

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:52:09.628068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f13772ee-d1bd-43c2-8254-6674e53654d4 · outbound

This paper cites Berndt, Ramanujan’s Notebooks, Part IV, Springer, New Y ork, 1994.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Berndt, Ramanujan’s Notebooks, Part IV, Springer, New Y ork, 1994

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.294350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dceda792-879f-4c43-aa2f-3138aa0b609c · outbound

This paper cites Berndt, A.J.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Berndt, A.J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.277615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 952637d1-ef39-4180-9d05-41ab9838afb2 · outbound

This paper cites Carlson and J.J.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Carlson and J.J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.259370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3463e58c-f725-4517-99dd-478372fe2928 · outbound

This paper cites Cui and N.S.S.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Cui and N.S.S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.242848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5c1a0e72-e94d-4c92-9a8d-81696c4ef827 · outbound

This paper cites Dandurand and D.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Dandurand and D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.226021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f91c5777-68c3-413c-9621-87d378ec0f24 · outbound

This paper cites Dou, Congruences for (3 , 11)-regular bipartitions modulo 11, Ramanujan J., 40, (2016) 535–540.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Dou, Congruences for (3 , 11)-regular bipartitions modulo 11, Ramanujan J., 40, (2016) 535–540

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.207122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 82ac1b69-0215-47d4-a773-befb3e081cad · outbound

This paper cites Furcy and D.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Furcy and D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.189249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 550196ef-2756-4e6e-bcf1-817d5657f300 · outbound

This paper cites Gordon and K.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Gordon and K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.161585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7618bbd-69cc-4b82-a54f-6aa6ef8d68d6 · outbound

This paper cites Hirschhorn and J.A.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Hirschhorn and J.A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.142178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4044c5dc-fca4-41b1-b3f8-4ae346e1f28e · outbound

This paper cites Hirschhorn and J.A.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Hirschhorn and J.A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.111877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5a2b4914-9e7b-450b-9c2e-f9547f781660 · outbound

This paper cites Hirschhorn, The Power of q.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Hirschhorn, The Power of q

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.092638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d5afccc2-742b-4e2a-8b71-903cb09d8710 · outbound

This paper cites Kathiravan and S.N.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Kathiravan and S.N

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.071885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b9274d38-4edb-4ab3-a326-867b79a38176 · outbound

This paper cites Ramanujan type of congruences modulo m for (l, m)-regular bipartitions.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Ramanujan type of congruences modulo m for (l, m)-regular bipartitions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:52:09.852174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 67946c51-d7da-4b53-af1e-3e839defa96c · outbound

This paper cites Lin, Arithmetic of the 7-regular bipartition function modulo 3, Ramanujan J., 37, (2015) 469–478.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Lin, Arithmetic of the 7-regular bipartition function modulo 3, Ramanujan J., 37, (2015) 469–478

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.050666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a66a868-f78b-44cf-94ee-33586c8cd8ad · outbound

This paper cites Lin, An inﬁnite family of congruences modulo 3 for 13-regula r bipartitions, Ramanujan J., 39, (2016) 169–178.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Lin, An inﬁnite family of congruences modulo 3 for 13-regula r bipartitions, Ramanujan J., 39, (2016) 169–178

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.026500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e4bc325a-a7bf-41fb-b0a7-ab0fa4512c8f · outbound

This paper cites Ramanujan, Some properties of p(n), the number of partitions of n, Proc.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Ramanujan, Some properties of p(n), the number of partitions of n, Proc

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:10.007016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d90b8889-fd64-41ce-ad40-fc37441d7456 · outbound

This paper cites Ramanujan, Collected Papers, Cambridge Univ.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Ramanujan, Collected Papers, Cambridge Univ

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.987748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6bc4be03-4396-44d5-8c08-8a29b1fbb6a6 · outbound

This paper cites Ramanujan, The Lost Notebook and Other Unpublished Pape rs, Narosa, New Delhi, 1988.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Ramanujan, The Lost Notebook and Other Unpublished Pape rs, Narosa, New Delhi, 1988

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T12:52:09.744784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c05db91-f1a3-4c5c-a776-a9a84fecf117 · outbound

This paper cites Wang, Arithmetic properties of ( k, ℓ)-regular bipartitions, Bull.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Wang, Arithmetic properties of ( k, ℓ)-regular bipartitions, Bull

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.953246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ac3e5f4e-9abb-4a70-9dd1-7a57853ad9de · outbound

This paper cites Webb, Arithmetic of the 13-regular partition function modu lo 3, Ramanujan J., 25, (2011) 49–56.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Webb, Arithmetic of the 13-regular partition function modu lo 3, Ramanujan J., 25, (2011) 49–56

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.931934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e8a3373d-7364-40a1-9426-68531c8f907a · outbound

This paper cites Xia, Congruences for some ℓ-regular partitions modulo ℓ, J.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Xia, Congruences for some ℓ-regular partitions modulo ℓ, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.912884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5be880c4-12fa-40f7-b20a-63b71c6d1e9c · outbound

This paper cites Xia and O.X.M.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Xia and O.X.M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.893688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 292c2cfd-1118-4a9f-8e9f-116ddc4e9a37 · outbound

This paper cites Yao, New congruences modulo powers of 2 and 3 for 9-reg uar partitions, J.

Some congruences for $(s,t)$-regular bipartitions modulo $t$ Yao, New congruences modulo powers of 2 and 3 for 9-reg uar partitions, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:52:09.870787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.