Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:35.865414Z
Paper Citation Record · LEDGER
The $h$-vectors of toric ideals of odd cycle compositions revisited
As of 22 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2504.13087.
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 2026-08-21T06:32:19.484+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
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 b06ba1d7-8201-4f6e-b6f4-086030740c8f · outbound
This paper cites Root pol ytopes, tropical types, and toric edge ideals.
The $h$-vectors of toric ideals of odd cycle compositions revisited Root pol ytopes, tropical types, and toric edge ideals
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.107510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7ab69525-3e30-4b20-a365-d2df873e66c8 · outbound
This paper cites The h-vectors of edge rings of odd cycle compositions.
The $h$-vectors of toric ideals of odd cycle compositions revisited The h-vectors of edge rings of odd cycle compositions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.092837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0a28ac35-0ffb-4787-ae1e-2ef18788ccd5 · outbound
This paper cites Bounds on the regularity of toric ideals of graphs.
The $h$-vectors of toric ideals of odd cycle compositions revisited Bounds on the regularity of toric ideals of graphs
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.078443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9a3f8cec-adda-4fd3-93f0-770a97de107c · outbound
This paper cites Cohen–Macaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics.
The $h$-vectors of toric ideals of odd cycle compositions revisited Cohen–Macaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.063721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4877f584-c97e-4756-a8e1-c311d6cd7e20 · outbound
This paper cites Geometric vertex decomposition and liaison for toric ideals of graphs.
The $h$-vectors of toric ideals of odd cycle compositions revisited Geometric vertex decomposition and liaison for toric ideals of graphs
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.047294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 94e4f74f-8b88-4a6f-88f6-85036e1853eb · outbound
This paper cites Geometric Vertex Deco mposition, Gröbner bases, and Frobenius Splittings for Regular Nilpotent Hessenberg Varieties.
The $h$-vectors of toric ideals of odd cycle compositions revisited Geometric Vertex Deco mposition, Gröbner bases, and Frobenius Splittings for Regular Nilpotent Hessenberg Varieties
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.031629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8963247a-1459-41f2-9c39-513935870d58 · outbound
This paper cites Algebraic properties of toric rings of graphs.
The $h$-vectors of toric ideals of odd cycle compositions revisited Algebraic properties of toric rings of graphs
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:36.015163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ef15eae7-8955-4e5b-a952-01f5259fb99a · outbound
This paper cites an unresolved cited work.
The $h$-vectors of toric ideals of odd cycle compositions revisited Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:26:35.998986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3ccbf03c-f5d8-4b1a-9e08-d5a996c73128 · outbound
This paper cites The h-vectors of the edge rings of a special family of graphs.
The $h$-vectors of toric ideals of odd cycle compositions revisited The h-vectors of the edge rings of a special family of graphs
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.982582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6aaf1c8d-e5a7-42f2-9c25-1e7608d2ba17 · outbound
This paper cites Geometric vertex de composition and liaison.
The $h$-vectors of toric ideals of odd cycle compositions revisited Geometric vertex de composition and liaison
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.966146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a925df45-b0a6-470f-af9d-b01397163006 · outbound
This paper cites Gröbne r geometry of vertex decompositions and of flagged tableaux.
The $h$-vectors of toric ideals of odd cycle compositions revisited Gröbne r geometry of vertex decompositions and of flagged tableaux
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.950129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 78174699-ad5e-44b9-b43f-6c01cc11e54c · outbound
This paper cites Three invariants of ge ometrically vertex decomposable ideals.
The $h$-vectors of toric ideals of odd cycle compositions revisited Three invariants of ge ometrically vertex decomposable ideals
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.933763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 500efba1-f829-4422-92c7-7e0d19772f19 · outbound
This paper cites Vasconcelos.
The $h$-vectors of toric ideals of odd cycle compositions revisited Vasconcelos
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.917233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bab1227c-3354-4abf-920b-bfd5a0996c0a · outbound
This paper cites Villarreal.
The $h$-vectors of toric ideals of odd cycle compositions revisited Villarreal
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:26:35.900189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.