Paper Citation Record · LEDGER

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.07741.

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

pith.paper-citation-record.v1
1908.07741 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:05:09.832584Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

31 of 31 outbound references displayed

verified exact1
verified fuzzy13
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 028957a7-65cf-4493-8c33-22c42e541cef · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.363843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 86a4237b-a1be-4a52-a35c-615b00101eb6 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.348499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 585f3a3d-d8a1-4847-93aa-5ddc2ce21a23 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.332884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cc1dea72-5aad-46e8-be52-23927bbeaabf · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.318003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 952fb681-65c5-44b9-862d-b94fd345e5fb · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.302483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7575fea2-cf24-4688-ba5c-9ae9aa9b7933 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.285145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8d4ade91-dff2-4ee3-a114-45b3e1025a2d · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.268286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2613895c-75d2-4164-9239-b855b913dd6c · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.251605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8612addb-c3b1-417f-864c-b0508645cbe5 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.235080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d62d7afc-5460-4e68-bd93-a9fc17d045b8 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.217895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c1b26f81-2714-4a32-8eab-60b4e205f051 · outbound

This paper cites Blecher, Geometry for totally symmetric plane partitions (TS PPs) with self-conjugate main diagonal, Util.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Blecher, Geometry for totally symmetric plane partitions (TS PPs) with self-conjugate main diagonal, Util

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.200386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 32b12917-bb44-4a65-9013-9b5d8203386e · outbound

This paper cites Bringmann, C.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Bringmann, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.184039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4f716bf2-47d7-4078-8a7f-8f51ebd6dac3 · outbound

This paper cites Bringmann, J.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Bringmann, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.168450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a677fa5f-47fb-4741-9eab-1054e8abb2dd · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.153248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a5ef125a-f27f-4ab3-92c1-a0b530d6ceed · outbound

This paper cites Dixit and A.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Dixit and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.138746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation db4e5bf9-4c43-48ed-846f-5c61dd35f06f · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.123810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ecc87032-dd8e-4b77-950e-84e283f2a88c · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.108513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 05105c90-18ea-4f39-a99f-84b93f323bec · outbound

This paper cites Garvan, Higher order spt-functions, Adv.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Garvan, Higher order spt-functions, Adv

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.092349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 087dddc0-5e18-48b3-bea3-b5a7e3a581b4 · outbound

This paper cites Garvan and C.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Garvan and C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.076791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1b0ec839-155c-4408-8b72-33821509c91a · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.061533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 158a7850-dac6-40ae-b572-d52302285e71 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:10.044571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 50b46732-9f96-40f0-9c90-3198157cf920 · outbound

This paper cites Jennings-Shaﬀer, Another SPT crank for the number of sm allest parts in overpartitions with even smallest part, J.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Jennings-Shaﬀer, Another SPT crank for the number of sm allest parts in overpartitions with even smallest part, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.027810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce17bb78-947d-4625-9f72-467794afb77d · outbound

This paper cites Jennings-Shaﬀer, Higher order SPT functions for overpar titions, overpartitions with smallest part even, and partitions without repeated odd parts, J.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Jennings-Shaﬀer, Higher order SPT functions for overpar titions, overpartitions with smallest part even, and partitions without repeated odd parts, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:10.011257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a31c8ec3-359b-4461-accb-905ab50e439a · outbound

This paper cites Jennings-Shaﬀer, Exotic Bailey-Slater SPT-functions I: Gr oup A, Adv.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Jennings-Shaﬀer, Exotic Bailey-Slater SPT-functions I: Gr oup A, Adv

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:09.994614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 60d55242-dabc-4512-89d2-75c5836be83c · outbound

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

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Ramanujan, Some properties of p(n), the number of partitions of n, Proc

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:09.978831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 238f077c-034c-41a9-b56b-3a5d208ab05d · outbound

This paper cites Ramanujan, The Lost Notebook and Other Unpublished Papers (Narosa, New Delhi, 1988).

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Ramanujan, The Lost Notebook and Other Unpublished Papers (Narosa, New Delhi, 1988)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:09.960925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0164350c-89c7-4bc7-9bb6-75ba39032131 · outbound

This paper cites Waldherr, On certain explicit congruences for mock theta fu nctions, Proc.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Waldherr, On certain explicit congruences for mock theta fu nctions, Proc

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:09.943767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bdec94da-cbb9-4c9e-9d63-873b58efdf30 · outbound

This paper cites Wang, New congruences for partitions related to mock thet a functions, J.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Wang, New congruences for partitions related to mock thet a functions, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:05:09.927773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b54eb031-f0b1-430e-9c6b-375c2ad7de05 · outbound

This paper cites The smallest parts function associated with $\omega(q)$.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions The smallest parts function associated with $\omega(q)$

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:05:09.878335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 88ae6b25-e43a-4b90-855d-2641dc85e4eb · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:09.910742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 63fd0fe9-02bb-42de-a2da-462fb6ab17e1 · outbound

This paper cites an unresolved cited work.

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:05:09.895074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.