Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T21:40:24.768860Z
Paper Citation Record · LEDGER
Symbolic Powers of Toric Ideals
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.09709.
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
24 of 24 outbound references displayed
- verified exact0
- verified fuzzy18
- unresolved5
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7b31345c-cf0e-4178-ba90-59e5237cc2cb · outbound
This paper cites Abbott, A.
Symbolic Powers of Toric Ideals Abbott, A
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.155895Z
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 cc932dbb-5298-4f7a-90d4-9b4ed9a5902b · outbound
This paper cites Bhaskara and A.
Symbolic Powers of Toric Ideals Bhaskara and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.145834Z
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 b7e8011a-80bf-48f2-bb4a-12f4cc0bc51f · outbound
This paper cites Bocci, S.
Symbolic Powers of Toric Ideals Bocci, S
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.135598Z
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 3c27d4c6-6df1-4550-a7a6-9c86f33b539f · outbound
This paper cites Bocci and B.
Symbolic Powers of Toric Ideals Bocci and B
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.125312Z
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 71d8f0eb-6a6b-4333-b2a9-dcd3cdb683b5 · outbound
This paper cites Carlini, H.
Symbolic Powers of Toric Ideals Carlini, H
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.115855Z
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 18db3600-257a-45c2-a4eb-f35679518540 · outbound
This paper cites Constantinescu and E.
Symbolic Powers of Toric Ideals Constantinescu and E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:25.105310Z
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 7487eecd-2ba0-4d35-af9f-f52a09a0c8f2 · outbound
This paper cites an unresolved cited work.
Symbolic Powers of Toric Ideals Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:40:24.983747Z
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 a7e2cb48-3ff9-4e0a-8a90-49a5ce31abd0 · outbound
This paper cites Cummings, S.
Symbolic Powers of Toric Ideals Cummings, S
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.973130Z
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 ee30e10e-7ac1-4ddb-96e2-cad408af158f · outbound
This paper cites Eisenbud.Commutative algebra: with a view toward algebraic geometry, volume 150 ofGraduate Texts in Mathematics.
Symbolic Powers of Toric Ideals Eisenbud.Commutative algebra: with a view toward algebraic geometry, volume 150 ofGraduate Texts in Mathematics
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.962201Z
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 df1d4f74-57df-4bfe-b69f-f3e1808b64da · outbound
This paper cites Favacchio.
Symbolic Powers of Toric Ideals Favacchio
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.952159Z
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 47455ad7-85b4-4136-a535-83e453409d7a · outbound
This paper cites Favacchio, J.
Symbolic Powers of Toric Ideals Favacchio, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.929350Z
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 05463e7c-4b1e-4bab-8cf7-70246dff564e · outbound
This paper cites Favacchio, G.
Symbolic Powers of Toric Ideals Favacchio, G
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.917182Z
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 e6851531-1554-417f-938d-d1bc6a9a7abe · outbound
This paper cites Symbolic powers of polymatroidal ideals.
Symbolic Powers of Toric Ideals Symbolic powers of polymatroidal ideals
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:40:24.734596Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63cf1d96-cc0a-4e4f-9e31-a8c26d1e738a · outbound
This paper cites Garc´ ıa-Marco and C.
Symbolic Powers of Toric Ideals Garc´ ıa-Marco and C
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.905644Z
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 3babf27c-eec5-432a-ae2c-ac91adad3c79 · outbound
This paper cites Geramita, B.
Symbolic Powers of Toric Ideals Geramita, B
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.893988Z
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 d4e943de-5a72-49f4-95fc-e2196243c085 · outbound
This paper cites Grayson and M.
Symbolic Powers of Toric Ideals Grayson and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.882580Z
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 60e3726f-164e-409a-8d16-fdadd37791fd · outbound
This paper cites an unresolved cited work.
Symbolic Powers of Toric Ideals Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:40:24.871584Z
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 61a0af29-1d04-41e8-9cc1-ead66ef75c7a · outbound
This paper cites an unresolved cited work.
Symbolic Powers of Toric Ideals Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:40:24.861020Z
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 edf96e52-2d32-471f-b671-ab1313461ac3 · outbound
This paper cites Herzog, T.
Symbolic Powers of Toric Ideals Herzog, T
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:40:24.755467Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f8910f3-1152-43c6-b59c-ef051872cd4a · outbound
This paper cites Herzog, T.
Symbolic Powers of Toric Ideals Herzog, T
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.844119Z
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 55992579-f5b7-49cc-8511-fd5ae6bf425e · outbound
This paper cites Keiper.Toric Ideals of Finite Simple Graphs.
Symbolic Powers of Toric Ideals Keiper.Toric Ideals of Finite Simple Graphs
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.833185Z
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 41536df1-b68e-49f9-b956-6f588ad32e96 · outbound
This paper cites Mantero, C.
Symbolic Powers of Toric Ideals Mantero, C
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.822201Z
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 a3dfe8bb-823b-4264-a4dd-2bac56bd4999 · outbound
This paper cites Sturmfels.Grobner bases and convex polytopes, volume 8.
Symbolic Powers of Toric Ideals Sturmfels.Grobner bases and convex polytopes, volume 8
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:40:24.810889Z
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 bc9b9816-2d08-4b4a-94c6-63361e9785bc · outbound
This paper cites an unresolved cited work.
Symbolic Powers of Toric Ideals Unresolved cited work
Reference 2024
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-15T21:40:24.941438Z
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.