Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:42:13.760931Z
Paper Citation Record · LEDGER
An inequality between finite analogues of rank and crank moments
As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.08660.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ef592959-bce2-4d67-8b98-239fabb5f771 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.145984Z
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 c56a398c-a2bb-4ddd-9463-59825a21c780 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.131757Z
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 91c2107c-8c48-4616-8924-b27daef1c738 · outbound
This paper cites Andrews, Partitions, Durfee symbols, and the Atkin-Garvan moments o f ranks , Invent.
An inequality between finite analogues of rank and crank moments Andrews, Partitions, Durfee symbols, and the Atkin-Garvan moments o f ranks , Invent
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:14.116825Z
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 f5caeb97-881e-4a5d-8710-d4d001b3b8be · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.101881Z
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 d30d09e6-3b7b-47b5-9b68-85d703f70b0b · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.086647Z
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 a2686241-f834-4a40-8c3b-0a9cf19f4ae3 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.056976Z
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 a4e91ca7-71bb-4ee9-ab87-94f5951bfa5a · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.041584Z
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 8c3d1ac4-1127-4362-8830-b7c7bd03479f · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.027024Z
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 7ce4e2b9-3dee-4faa-a035-e3461b2e2d07 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.012050Z
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 aa656cfa-11ac-4f4b-9bd3-a098cec59bf6 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.997350Z
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 c91bfc9c-7edc-433c-8a88-dc88548da074 · outbound
This paper cites Bringmann, K.
An inequality between finite analogues of rank and crank moments Bringmann, K
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:13.982818Z
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 0e0bcd2d-ba0c-4021-bb8d-5c298b50d245 · outbound
This paper cites Bringmann, F.
An inequality between finite analogues of rank and crank moments Bringmann, F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:13.967793Z
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 a4d233e0-8c0d-4762-8272-d448af304b65 · outbound
This paper cites Bringmann, K.
An inequality between finite analogues of rank and crank moments Bringmann, K
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:13.953060Z
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 bd88d536-5c17-425d-9ad7-41e693afad64 · outbound
This paper cites Partition implications of a new three parameter $q$-series identity.
An inequality between finite analogues of rank and crank moments Partition implications of a new three parameter $q$-series identity
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:42:13.827272Z
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 2a83da06-852b-4b69-ae0e-88ae824d0912 · outbound
This paper cites Untrodden pathways in the theory of the restricted partition function $p(n, N)$.
An inequality between finite analogues of rank and crank moments Untrodden pathways in the theory of the restricted partition function $p(n, N)$
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:42:13.804897Z
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 28a418de-e73d-49b8-858d-fb776bb8471f · outbound
This paper cites Dyson, Some guesses in the theory of partitions , Eureka (Cambridge) 8 (1944), 10–15.
An inequality between finite analogues of rank and crank moments Dyson, Some guesses in the theory of partitions , Eureka (Cambridge) 8 (1944), 10–15
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:13.938821Z
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 2c493604-44e0-4d12-a1a3-0bf60fb1b372 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.923415Z
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 d09db3d6-ef30-492f-9a79-54ead1965234 · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.908324Z
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 04529564-8dc5-4ab1-9d8f-1d09373d1b4a · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.892194Z
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 00a30896-4590-4097-a07c-5a277ec924ab · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.875709Z
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 6f9b5f19-f394-49af-afdf-259da867c09e · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:13.859460Z
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 6c1a6fc7-4451-4dfc-829e-1357a4744c53 · outbound
This paper cites Ramanujan, Notebooks of Srinivasa Ramanujan, Vol.
An inequality between finite analogues of rank and crank moments Ramanujan, Notebooks of Srinivasa Ramanujan, Vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:42:13.843787Z
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 58c23f85-ce1b-4298-a800-04a9e25f3c9c · outbound
This paper cites an unresolved cited work.
An inequality between finite analogues of rank and crank moments Unresolved cited work
Reference 71
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:42:14.072225Z
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.