Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:30:05.562702Z
Paper Citation Record · LEDGER
Maximally additively reducible subsets of the integers
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.05220.
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
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 305c5626-ed7b-4b02-a73e-dcfbfe960040 · outbound
This paper cites Dismal Arithmetic.
Maximally additively reducible subsets of the integers Dismal Arithmetic
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.726422Z
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 89f77cc0-691b-43e0-b1f2-7a6d8d0f6b90 · outbound
This paper cites On the enumeration of certain compositions and related sequences of numbers.
Maximally additively reducible subsets of the integers On the enumeration of certain compositions and related sequences of numbers
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.719314Z
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 d24e3fd8-6600-44a0-b452-8145b3395388 · outbound
This paper cites Additive decomposability of multiplicatively defin ed sets.
Maximally additively reducible subsets of the integers Additive decomposability of multiplicatively defin ed sets
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.711760Z
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 d718ab0c-1095-42b2-8377-6537d53c78ff · outbound
This paper cites Sums and products of integers.
Maximally additively reducible subsets of the integers Sums and products of integers
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.704316Z
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 65f89ded-8e38-4474-9afe-5977efb0b1b3 · outbound
This paper cites On the sequence A079500 and its c ombinatorial interpretations.
Maximally additively reducible subsets of the integers On the sequence A079500 and its c ombinatorial interpretations
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.697621Z
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 91063aba-6e54-4e0a-928e-bb04569b3bde · outbound
This paper cites Concrete Mathematics.
Maximally additively reducible subsets of the integers Concrete Mathematics
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.690335Z
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 6238506d-7592-49c3-980e-a7f0b487fbf8 · outbound
This paper cites Primes on the Moon (Lunar Arithmetic).
Maximally additively reducible subsets of the integers Primes on the Moon (Lunar Arithmetic)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.683136Z
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 9822d10f-8e42-48df-8557-4619ea699b75 · outbound
This paper cites Combinatorics of Compositions and Words.
Maximally additively reducible subsets of the integers Combinatorics of Compositions and Words
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.675883Z
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 1bd2f4f5-6aa4-4530-881b-dd0ba235c398 · outbound
This paper cites Calculus of Finite Differences.
Maximally additively reducible subsets of the integers Calculus of Finite Differences
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.668965Z
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 e9329836-c74c-4292-909b-cd056fd113c3 · outbound
This paper cites Compositions with parts c ontrained by the leading summand.
Maximally additively reducible subsets of the integers Compositions with parts c ontrained by the leading summand
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.660787Z
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 3930e71c-ee20-4f2f-a237-4b09e26694fa · outbound
This paper cites Combinatory Analysis I.
Maximally additively reducible subsets of the integers Combinatory Analysis I
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.652561Z
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 51c9544a-ce82-4b78-970a-490889811d46 · outbound
This paper cites Additive Number Theory: The Classical Bases.
Maximally additively reducible subsets of the integers Additive Number Theory: The Classical Bases
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.644523Z
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 5a7fe611-7acc-4d3b-9d3a-58f9182176c8 · outbound
This paper cites Additive Number Theory: Inverse Problems and the Geometry of Sumsets.
Maximally additively reducible subsets of the integers Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.637225Z
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 00ef1eab-8761-42f5-958a-c299e059790c · outbound
This paper cites Additive Zahlentheorie.
Maximally additively reducible subsets of the integers Additive Zahlentheorie
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.628858Z
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 d8709bd7-e1b0-4402-8d1f-10a7603d169c · outbound
This paper cites The online encyclopedia of integer sequences.
Maximally additively reducible subsets of the integers The online encyclopedia of integer sequences
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.620723Z
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 423161df-4495-4443-a557-5bb37310c966 · outbound
This paper cites On a generalized compos ition func- tion.
Maximally additively reducible subsets of the integers On a generalized compos ition func- tion
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.611922Z
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 e53b17a5-1aac-4523-9ba3-0b2306c2de08 · outbound
This paper cites Additive Combinatorics.
Maximally additively reducible subsets of the integers Additive Combinatorics
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.603218Z
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 f47fac13-2468-4c2c-8a90-d6f477c831dd · outbound
This paper cites Ein metrischer Satz ber Mengen ganzer Zahle n.
Maximally additively reducible subsets of the integers Ein metrischer Satz ber Mengen ganzer Zahle n
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.593793Z
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 4d7b2b94-838f-41a7-8c39-852de3268e12 · outbound
This paper cites Solving generalized Fibonacci recurrenc es.
Maximally additively reducible subsets of the integers Solving generalized Fibonacci recurrenc es
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:30:05.584641Z
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.