Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:42:57.213032Z
Paper Citation Record · LEDGER
Combinatorial Proof of the Minimal Excludant Theorem
As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:1908.06789.
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, observed 2026-06-26T17:25:37.147352Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T03:59:33.402513Z
Reference resolution
14 of 14 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8f395d31-57b7-49a0-aaca-4d2534fc8fa6 · outbound
This paper cites Andrews, The Theory of Partitions , Cambridge Math.
Combinatorial Proof of the Minimal Excludant Theorem Andrews, The Theory of Partitions , Cambridge Math
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.482073Z
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 d5876d1a-e850-4ff7-97e1-7b1a2858730c · outbound
This paper cites Andrews, M.
Combinatorial Proof of the Minimal Excludant Theorem Andrews, M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.464241Z
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 59f829da-c766-47ff-8a00-7c8177d796a8 · outbound
This paper cites Andrews, M.
Combinatorial Proof of the Minimal Excludant Theorem Andrews, M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.447219Z
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 7ecbf77c-ece7-42ab-827c-5a87ffd2a6bf · outbound
This paper cites Andrews, D.
Combinatorial Proof of the Minimal Excludant Theorem Andrews, D
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.430958Z
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 b1c0c9d6-6492-4c9e-9cee-d08b7d859dd6 · outbound
This paper cites Ballantine, M.
Combinatorial Proof of the Minimal Excludant Theorem Ballantine, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.413477Z
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 fcc16043-45d6-412a-8aae-af5dc2a0b5b1 · outbound
This paper cites Ballantine, M.
Combinatorial Proof of the Minimal Excludant Theorem Ballantine, M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.395421Z
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 2502e6c7-3f8a-4edf-be00-74c71062efb9 · outbound
This paper cites Corteel, J.
Combinatorial Proof of the Minimal Excludant Theorem Corteel, J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.378187Z
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 84e6c23e-2ea6-4790-8efc-9deffde8a0c8 · outbound
This paper cites an unresolved cited work.
Combinatorial Proof of the Minimal Excludant Theorem Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:42:57.361326Z
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 e4a0f34a-6f15-40f3-a4ff-778623f14b4c · outbound
This paper cites Grundy, Mathematics and games, Eureka 2 (1939) 6–8.
Combinatorial Proof of the Minimal Excludant Theorem Grundy, Mathematics and games, Eureka 2 (1939) 6–8
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.334386Z
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 385a22a4-e2c6-41a5-80f0-c69ba293dd7d · outbound
This paper cites Hirschhorn, J.A.
Combinatorial Proof of the Minimal Excludant Theorem Hirschhorn, J.A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.317210Z
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 0c209795-0c1d-440e-b278-29861c633b16 · outbound
This paper cites Sprague, ¨Uber mathematische Kampfspiele, Tohoku Math.
Combinatorial Proof of the Minimal Excludant Theorem Sprague, ¨Uber mathematische Kampfspiele, Tohoku Math
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.301183Z
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 c54ff19c-601f-4814-a14b-e5b94821a123 · outbound
This paper cites Sylvester, F.
Combinatorial Proof of the Minimal Excludant Theorem Sylvester, F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.284246Z
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 b02cf165-f2d1-4335-8f95-22f9b9c53b06 · outbound
This paper cites Wright, An enumerative proof of an identity of Jacobi, J.
Combinatorial Proof of the Minimal Excludant Theorem Wright, An enumerative proof of an identity of Jacobi, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.267757Z
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 0a1cbccf-69df-43a2-ab40-2602fd143b1e · outbound
This paper cites Yee, A truncated Jacobi triple product theorem, J.
Combinatorial Proof of the Minimal Excludant Theorem Yee, A truncated Jacobi triple product theorem, J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:42:57.251492Z
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
Observation c99180fa-1a77-421f-910e-1537c0c20705 · inbound
Two-colored generalized Frobenius partitions and minimal-excludant sums over bipartitions cites this paper.
Two-colored generalized Frobenius partitions and minimal-excludant sums over bipartitions Combinatorial Proof of the Minimal Excludant Theorem
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T03:59:33.404347Z
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.