Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:14:57.196799Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2504.21345.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:14:57.196799Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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
40 of 40 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5f11a017-160e-470d-b0c6-eba06f7e77d2 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Hopf monoids and generalized permutahedra
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 063dabdb-318b-47cf-8528-7996e1e6b2e8 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f2d633a0-822d-4703-a501-2c3326575022 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Doker J.,Matroid polytopes and their volumes
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 127ef0c4-2e40-4df1-b7e8-46f33efea8e6 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ddf293a0-525d-4850-b891-d355dc290d9c · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere M.,Bier spheres and posets
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8387a08-c238-47dc-ba46-c261b6d634d0 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8207369-7d35-45d3-9507-397fbbdcd212 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere International Math- ematics Research Notices, 2022(3):1973–2026, 2020
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 58294137-a0f2-4889-b150-18dd5e622439 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Canadian Mathematical Bulletin, 45(4):537–566, 2002
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ac2fd685-bff1-489e-8ec3-7a5a7386db50 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ffa20b91-541a-459a-99d7-af0c1e185e0d · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere A., Little, J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4c235420-c8cf-4d40-bfa9-f6c40b3da6e2 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 68ec9161-8ece-4e52-b513-7ab2fd57a35e · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a54d25d4-75b1-484c-8555-37d46fec0906 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Hoessly, L.,Fundamental polytopes of metric trees via parallel con- nections of matroids
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0e7693b6-4d9d-4dfe-914e-752ae2035ce7 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Combinatorial Structures and their Applications
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4c6deeea-4001-4388-b830-d5a804deb6e1 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Springer New York, 1996
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d7edee24-962e-4105-9d22-b7caedde5a3e · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 003912db-d6dd-4ede-a5bc-90d9c6a903a0 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Joswig, M.,polymake: a framework for analyzing convex polytopes
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8cf3573b-a660-49f6-89d8-1be6565b8936 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere resource
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5ab1fdf5-e566-4cb8-9c9e-7ff21bee1815 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere D., Timotijević, M., and Živaljević, R
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5bda9d3e-9531-4e05-ab38-2d61f5a200cb · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e06f1783-391d-470c-8118-15a8b771c872 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b91cce0-ba69-4311-ad17-2f9b2333ef41 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Israel J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 51dcb69d-b10d-47bb-8e0e-d4e473e79813 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0dfb01e3-bc4f-488e-bed5-7afd2e5749f9 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere A., Rambau, J
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation da2838aa-0b12-40fc-947e-4e492215ef61 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Journal of Combinatorial Theory, Series A, 105(2):355–357, 2004
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8ea9555-5e58-4e79-ac26-28064d16ddc9 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere H.,Combinatorial 3-manifolds with 10 vertices
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f6548205-dd23-47a2-b8dd-8b974cd0525f · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3cf7e64a-f917-4dc6-83da-9e81d63741fb · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Geometriae Dedicata 2 (1973), pp
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 44659518-da1d-415a-82c0-ada87dd21880 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Israel J
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation df157cba-e718-47c1-b143-d6af15fb8708 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 377dc6ed-ab93-4019-8b86-3bcd5de7b66b · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Wienand O.,Convex rank tests and semigraphoids
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5a775ed5-fe87-44ab-b672-7a7e9d1e572e · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Poullot, G.,Deformation cones of hypergraph polytopes
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 601dc898-633b-4fa8-9abe-269f76ecb0a0 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Poullot, G.,Deformation cones of graph associahedra and nestohedra
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 089bd44a-5af2-46cc-9f7e-4ddc3cc8dc16 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 44b31691-6cdc-4bc0-b7a2-08cdc5a21da0 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Williams, L
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 93d0aefc-2ffa-4f34-9307-b7688c732c86 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Yost, D.,More indecomposable polyhedra
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dd0e76a3-a67a-475c-8f21-0534791e53cc · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere C.,Decomposable convex polyhedra
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1be182e2-f620-4bb8-a822-671433e13ef5 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0e3ba306-aa0d-45f6-b5a8-1f66cc5b1290 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Matematički Vesnik, 1(71):104–122, 2019
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1fe281dc-4d5c-48fe-87cb-f336c10680e5 · outbound
Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Ž., Živaljević, R
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.