Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:18:18.033768Z
Paper Citation Record · LEDGER
On the Number of Vertices in a Hyperplane Section of a Polytope
As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.12419.
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
28 of 28 outbound references displayed
- verified exact7
- verified fuzzy18
- unresolved2
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4e303f24-1723-45d2-a330-cd0f26b286e0 · outbound
This paper cites Volumes of sections of cubes and related prob lems.
On the Number of Vertices in a Hyperplane Section of a Polytope Volumes of sections of cubes and related prob lems
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.586642Z
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 6e8d7977-4082-433a-be4a-9c5b15a2dbe7 · outbound
This paper cites The minimum number of vertices of a simpl e polytope.
On the Number of Vertices in a Hyperplane Section of a Polytope The minimum number of vertices of a simpl e polytope
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.571922Z
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 26b2d56e-8398-419a-b118-e5cc98d20f16 · outbound
This paper cites A proof of the lower bound conjecture for convex polytopes.
On the Number of Vertices in a Hyperplane Section of a Polytope A proof of the lower bound conjecture for convex polytopes
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.557781Z
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 f0af9d2d-8df1-45fb-9703-999551b1082a · outbound
This paper cites On generating planar graphs.
On the Number of Vertices in a Hyperplane Section of a Polytope On generating planar graphs
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.542441Z
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 8b68cb72-c319-49b0-84cd-7d90c98f6a62 · outbound
This paper cites Graph theory.
On the Number of Vertices in a Hyperplane Section of a Polytope Graph theory
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.525257Z
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 9dbc8184-9dc8-436f-a172-0a70a6731a54 · outbound
This paper cites The best ways to slice a polytope.
On the Number of Vertices in a Hyperplane Section of a Polytope The best ways to slice a polytope
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.507280Z
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 93493c24-fbf7-4623-8e68-98afadfc49e5 · outbound
This paper cites Same average in every di rection.
On the Number of Vertices in a Hyperplane Section of a Polytope Same average in every di rection
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.489918Z
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 1dab424e-75f8-4352-ae9b-cff4f4da37f7 · outbound
This paper cites Don Chakerian and Dave Logothetti.
On the Number of Vertices in a Hyperplane Section of a Polytope Don Chakerian and Dave Logothetti
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-11T14:18:18.145544Z
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 3f28c8e3-30bd-43b9-b2d9-b17ad72da373 · outbound
This paper cites Sections of hyper-cube in five dimensions.
On the Number of Vertices in a Hyperplane Section of a Polytope Sections of hyper-cube in five dimensions
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.475803Z
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 eb619ae6-2da5-4850-92d3-9c2eb9fb628a · outbound
This paper cites Poset topology, mo ves, and bruhat interval polytope lattices, 2024.
On the Number of Vertices in a Hyperplane Section of a Polytope Poset topology, mo ves, and bruhat interval polytope lattices, 2024
Reference 10
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T14:18:18.303231Z
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 bf2a012f-b356-473f-964f-9bc995b8215a · outbound
This paper cites Neighborly and cyclic polytopes.
On the Number of Vertices in a Hyperplane Section of a Polytope Neighborly and cyclic polytopes
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.461047Z
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 76273cf1-cf6f-441d-a90e-150550a47c3f · outbound
This paper cites Inequalities for sections and projections of convex bodies.
On the Number of Vertices in a Hyperplane Section of a Polytope Inequalities for sections and projections of convex bodies
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.443225Z
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 e21f772d-859f-463a-86cc-312e0e5c8136 · outbound
This paper cites Inscribable stacked polytopes.
On the Number of Vertices in a Hyperplane Section of a Polytope Inscribable stacked polytopes
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:18:17.960425Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f58c590-3254-4015-8de0-ddee6d63cf19 · outbound
This paper cites Springer, 2nd edition, 2003.
On the Number of Vertices in a Hyperplane Section of a Polytope Springer, 2nd edition, 2003
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.428477Z
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 836e38a6-6226-4f6e-a9c4-79ddfdd0ab12 · outbound
This paper cites Posets arising as 1-skeleta of simple p olytopes, the nonrevisiting path conjecture, and poset topology.
On the Number of Vertices in a Hyperplane Section of a Polytope Posets arising as 1-skeleta of simple p olytopes, the nonrevisiting path conjecture, and poset topology
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-11T14:18:18.132393Z
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 23c34b82-629b-4f89-9997-4eb52bfa497d · outbound
This paper cites Combinatorics of sections of polyt opes and Coxeter groups in Lobachevsky spaces.
On the Number of Vertices in a Hyperplane Section of a Polytope Combinatorics of sections of polyt opes and Coxeter groups in Lobachevsky spaces
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.415151Z
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 bea1db5c-5a59-49b0-9033-d540745f8fa7 · outbound
This paper cites Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound.
On the Number of Vertices in a Hyperplane Section of a Polytope Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:18:17.980224Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a71b45e2-d008-4de7-b5cb-4cb4202ca5f0 · outbound
This paper cites The slicing problem by Bourgain.
On the Number of Vertices in a Hyperplane Section of a Polytope The slicing problem by Bourgain
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-11T14:18:18.119439Z
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 5bab0327-813a-4e8d-b0fb-68175124de2a · outbound
This paper cites Harmonic Analysis and Convexity , volume 9.
On the Number of Vertices in a Hyperplane Section of a Polytope Harmonic Analysis and Convexity , volume 9
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.398899Z
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 00cdc356-e54c-4b34-a421-a1d3e8c47f7f · outbound
This paper cites Oeuvres compl` etes de Laplace, volume 7.
On the Number of Vertices in a Hyperplane Section of a Polytope Oeuvres compl` etes de Laplace, volume 7
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.385655Z
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 f84ed1e3-b21a-4420-b434-535d5425fdd5 · outbound
This paper cites Cutting the d-cube.
On the Number of Vertices in a Hyperplane Section of a Polytope Cutting the d-cube
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-11T14:18:18.105690Z
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 8c32cc07-a674-499d-982a-c1d8d57007cd · outbound
This paper cites The maximum numbers of faces of a convex polytope.
On the Number of Vertices in a Hyperplane Section of a Polytope The maximum numbers of faces of a convex polytope
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.369976Z
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 ca3cea87-00aa-4498-bc40-045ccec37dca · outbound
This paper cites Comonotone curves and polyhedra.
On the Number of Vertices in a Hyperplane Section of a Polytope Comonotone curves and polyhedra
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.354461Z
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 787c37c2-a830-4bb4-b254-9d24f85a85cf · outbound
This paper cites Extremal sections and projections of certain convex bodies: a survey.
On the Number of Vertices in a Hyperplane Section of a Polytope Extremal sections and projections of certain convex bodies: a survey
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T14:18:18.165327Z
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 4082f76f-cd1a-4955-a834-595111b4ded9 · outbound
This paper cites Hyperplane cuts of an n-cube.
On the Number of Vertices in a Hyperplane Section of a Polytope Hyperplane cuts of an n-cube
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.338655Z
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 9b8639cf-0a9e-4dea-a909-986f63ea2f83 · outbound
This paper cites Polygons as sections of higher-dimensional polytopes.
On the Number of Vertices in a Hyperplane Section of a Polytope Polygons as sections of higher-dimensional polytopes
Reference 26
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-11T14:18:18.091682Z
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 6129a527-6d38-482f-bf18-3bed7a890828 · outbound
This paper cites Shallow sections of the hypercube.
On the Number of Vertices in a Hyperplane Section of a Polytope Shallow sections of the hypercube
Reference 27
- Resolution
- verified exact
- doi, observed 2026-08-11T14:18:18.074601Z
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 dc0aa068-c099-4bbc-80a2-3dd74d5de23a · outbound
This paper cites Lectures on polytopes , volume 152.
On the Number of Vertices in a Hyperplane Section of a Polytope Lectures on polytopes , volume 152
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:18:18.324903Z
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.