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Paper Citation Record · LEDGER

Congruences in fractional partition functions

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.03937.

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

pith.paper-citation-record.v1
1908.03937 v3

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:13:17.774986Z

measured 8 of 8 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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf471f95-af86-4cbc-8aaa-333f331fcc53 · outbound

This paper cites Ahlgren and K.

Congruences in fractional partition functions Ahlgren and K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:13:17.890737Z

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.

source=pdf_text observed=2026-08-14T14:13:17.744634Z digest=sha256:8f2b6b1dc06bcf2d8edac395bb7eb05ab4a0d72d8360452b4ee183977a713f50

Observation e5612147-6cde-4f77-830d-255e06dcd509 · outbound

This paper cites an unresolved cited work.

Congruences in fractional partition functions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:13:17.879048Z

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.

source=pdf_text observed=2026-08-14T14:13:17.749562Z digest=sha256:096004c9320a67be55a64e8492bb337e569eb28e2042dc5b26c34090561ac6e6

Observation bcc8a411-aad5-458c-bd47-3906e2b7c0b2 · outbound

This paper cites Carney, A.

Congruences in fractional partition functions Carney, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:13:17.867408Z

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.

source=pdf_text observed=2026-08-14T14:13:17.753508Z digest=sha256:4d5a03a3b084cc91d563fb06ca3462e348dc06ee1b5cd0275179d4534e97a31a

Observation f49751fb-664f-415b-99d1-8e1f8354d133 · outbound

This paper cites an unresolved cited work.

Congruences in fractional partition functions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:13:17.855507Z

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.

source=pdf_text observed=2026-08-14T14:13:17.758447Z digest=sha256:525e970704d97546bc69f17879b3c059e6dbca93f8856b757613f9d733e19294

Observation 3d7a6738-991d-4eeb-a417-be32c20c1cbe · outbound

This paper cites Martin, Multiplicative η-quotients, Trans.

Congruences in fractional partition functions Martin, Multiplicative η-quotients, Trans

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:13:17.844095Z

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.

source=pdf_text observed=2026-08-14T14:13:17.762824Z digest=sha256:7f6f599c6d95e490d344e44816f250bf87d44879fdab0691b3027ae50a038806

Observation babeea3e-0814-4d34-ae5e-1e0a595b8d75 · outbound

This paper cites Ono, The Web of Modularity: Arithmetic of the Coefficients of Modul ar Forms and q-series, American Mathematical Society, Providence, 2004.

Congruences in fractional partition functions Ono, The Web of Modularity: Arithmetic of the Coefficients of Modul ar Forms and q-series, American Mathematical Society, Providence, 2004

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:13:17.832801Z

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.

source=pdf_text observed=2026-08-14T14:13:17.766720Z digest=sha256:e6e3cb80e84839ba25bb0fe7426a1a7370a09b13b209f60e6188c3a337fc10ab

Observation 5c1ac94c-454a-491b-acda-269ca47ce0d2 · outbound

This paper cites an unresolved cited work.

Congruences in fractional partition functions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:13:17.820479Z

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.

source=pdf_text observed=2026-08-14T14:13:17.771153Z digest=sha256:83888d7d4f5efa83eb4b5906a7c9340b166997b42f86a09637af57be401871ce

Observation 57d6f20e-44d5-433b-a6bd-4557e1bdd492 · outbound

This paper cites an unresolved cited work.

Congruences in fractional partition functions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:13:17.807643Z

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.

source=pdf_text observed=2026-08-14T14:13:17.774986Z digest=sha256:bd97b3293a09aa4074670a2e4f3b641af563aebdaf560cf31b78a58a49135ce5

Pith citing papers

No inbound Pith citation observations are available.