Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T17:18:35.639945Z
Paper Citation Record · LEDGER
Regular subdivisions, bounds on initial ideals, and categorical limits
As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.12819.
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 2026-08-12T06:34:41.77262+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
31 of 31 outbound references displayed
- verified exact1
- verified fuzzy23
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0af58fd2-5f97-4c47-9feb-46719bb50147 · outbound
This paper cites Category theory, volume 52 of Oxford Logic Guides.
Regular subdivisions, bounds on initial ideals, and categorical limits Category theory, volume 52 of Oxford Logic Guides
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.978546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d7efb2e6-7d62-4960-9a75-4ebc018ac17f · outbound
This paper cites Julia: A fresh approach to numerical computing.
Regular subdivisions, bounds on initial ideals, and categorical limits Julia: A fresh approach to numerical computing
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.957810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd680d74-abf2-4a12-a468-727e8663ea17 · outbound
This paper cites an unresolved cited work.
Regular subdivisions, bounds on initial ideals, and categorical limits Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:18:37.934743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3ce42d35-7616-4c7a-803d-31cfa5fdd5d5 · outbound
This paper cites The Grassmannian of 3-planes in C8 is sch¨ on.Algebraic Combina- torics, 6(5):1273–1299, 2023.
Regular subdivisions, bounds on initial ideals, and categorical limits The Grassmannian of 3-planes in C8 is sch¨ on.Algebraic Combina- torics, 6(5):1273–1299, 2023
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.915048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 735a40df-4170-4102-b3be-947787166ef0 · outbound
This paper cites Singular matroid realization spaces.
Regular subdivisions, bounds on initial ideals, and categorical limits Singular matroid realization spaces
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T17:18:35.145188Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f7f21d3-136a-4a8f-8bf6-877fde4dee5c · outbound
This paper cites Initial degenerations of flag varieties, 2022.
Regular subdivisions, bounds on initial ideals, and categorical limits Initial degenerations of flag varieties, 2022
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T17:18:35.152738Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c31084c6-62df-437b-a615-68a5b8793537 · outbound
This paper cites De Loera, J¨ org Rambau, and Francisco Santos.
Regular subdivisions, bounds on initial ideals, and categorical limits De Loera, J¨ org Rambau, and Francisco Santos
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.852018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 383bde4d-5053-4808-8a38-4b604d7348e8 · outbound
This paper cites The Com- puter Algebra System OSCAR: Algorithms and Examples , volume 32 of Algorithms and Computation in Mathematics.
Regular subdivisions, bounds on initial ideals, and categorical limits The Com- puter Algebra System OSCAR: Algorithms and Examples , volume 32 of Algorithms and Computation in Mathematics
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.800403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8acc7362-7ec7-4b3a-abdc-369e6b3cc0bc · outbound
This paper cites A fair file format for mathematical software.
Regular subdivisions, bounds on initial ideals, and categorical limits A fair file format for mathematical software
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.776821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 558395a8-14bc-40df-9126-32f2779cc8c8 · outbound
This paper cites Dummit and Richard M.
Regular subdivisions, bounds on initial ideals, and categorical limits Dummit and Richard M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.663003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 35a5d181-dee3-459e-b95e-2e0dc33be1d6 · outbound
This paper cites Commutative algebra , volume 150 of Graduate Texts in Mathematics.
Regular subdivisions, bounds on initial ideals, and categorical limits Commutative algebra , volume 150 of Graduate Texts in Mathematics
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.627842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2a731bb3-64f6-432a-88ff-822ae3b8dc38 · outbound
This paper cites Gelfand, M.
Regular subdivisions, bounds on initial ideals, and categorical limits Gelfand, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.493909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d06690c4-557f-4917-803a-e9903710d458 · outbound
This paper cites Gelfand, M.
Regular subdivisions, bounds on initial ideals, and categorical limits Gelfand, M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.471050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fc42465d-ccdd-49d8-b27a-85dd74694044 · outbound
This paper cites On the facets of the secondary polytope.
Regular subdivisions, bounds on initial ideals, and categorical limits On the facets of the secondary polytope
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.431342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a19a8594-685b-4ffe-b043-86aa0210a3fd · outbound
This paper cites How to draw tropical planes.
Regular subdivisions, bounds on initial ideals, and categorical limits How to draw tropical planes
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.331583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 55b6edbb-793a-4793-9ce8-8cee96512049 · outbound
This paper cites Matroids from hypers implex splits.
Regular subdivisions, bounds on initial ideals, and categorical limits Matroids from hypers implex splits
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.311266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e97a77fe-cdbf-4711-836d-1a2ba24bb3ac · outbound
This paper cites Kapranov.
Regular subdivisions, bounds on initial ideals, and categorical limits Kapranov
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.211663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8f1874ca-37ab-4249-9f31-a90cd22c3591 · outbound
This paper cites Lafforgue.
Regular subdivisions, bounds on initial ideals, and categorical limits Lafforgue
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.118183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1f4bac8c-df84-490a-a9ce-745eb1d0d131 · outbound
This paper cites Irreducibility, Smoothness, and Connectivity of Realization Spaces of Matroids and Hyperplane Arrangements.
Regular subdivisions, bounds on initial ideals, and categorical limits Irreducibility, Smoothness, and Connectivity of Realization Spaces of Matroids and Hyperplane Arrangements
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T17:18:35.761922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7773c0aa-87fa-46df-992a-1f0800acd9f8 · outbound
This paper cites Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics.
Regular subdivisions, bounds on initial ideals, and categorical limits Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:37.015402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db7cc864-e149-43d4-bb57-faba6bcc3291 · outbound
This paper cites Categories for the Working Mathematician.
Regular subdivisions, bounds on initial ideals, and categorical limits Categories for the Working Mathematician
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.982355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 500d131e-1f74-47a1-b656-ad462b70d589 · outbound
This paper cites The Gr¨ obner fan of an ideal.
Regular subdivisions, bounds on initial ideals, and categorical limits The Gr¨ obner fan of an ideal
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.914525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af14606b-a452-4674-b66c-e058c2cbf67d · outbound
This paper cites URL: https://www.oscar-system.org.
Regular subdivisions, bounds on initial ideals, and categorical limits URL: https://www.oscar-system.org
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.818254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a41bfdc4-3181-477a-b24c-a232395cafd1 · outbound
This paper cites Matroid theory.
Regular subdivisions, bounds on initial ideals, and categorical limits Matroid theory
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.782472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a14b325e-c84c-45b8-bc96-e8d82cdb0714 · outbound
This paper cites Term orderings on the polynomial ring.
Regular subdivisions, bounds on initial ideals, and categorical limits Term orderings on the polynomial ring
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.575902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 511823b4-a5c1-410d-ab8d-f22f64d909cc · outbound
This paper cites Speyer and B.
Regular subdivisions, bounds on initial ideals, and categorical limits Speyer and B
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.549308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dcf76864-522f-4185-8566-d5f888d572ac · outbound
This paper cites an unresolved cited work.
Regular subdivisions, bounds on initial ideals, and categorical limits Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:18:36.431230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0b84db40-8231-4cc0-a423-5b9d310b5d21 · outbound
This paper cites Sturmfels.
Regular subdivisions, bounds on initial ideals, and categorical limits Sturmfels
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T17:18:36.315649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db6e3ad7-0edc-49dd-bcb6-1883c00375fa · outbound
This paper cites an unresolved cited work.
Regular subdivisions, bounds on initial ideals, and categorical limits Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:18:36.282502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation be8d67f1-59a6-4180-986b-89092019b81c · outbound
This paper cites an unresolved cited work.
Regular subdivisions, bounds on initial ideals, and categorical limits Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:18:36.151013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5a3a760a-e69b-4774-862c-ea6bb27dd1b4 · outbound
This paper cites an unresolved cited work.
Regular subdivisions, bounds on initial ideals, and categorical limits Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T17:18:36.116240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.