Paper Citation Record · LEDGER

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere

As of 21 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.

pith.paper-citation-record.v1
2504.21345 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:14:57.196799Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy24
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f11a017-160e-470d-b0c6-eba06f7e77d2 · outbound

This paper cites Hopf monoids and generalized permutahedra.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Hopf monoids and generalized permutahedra

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:57.044200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 063dabdb-318b-47cf-8528-7996e1e6b2e8 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.742757Z

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 f2d633a0-822d-4703-a501-2c3326575022 · outbound

This paper cites and Doker J.,Matroid polytopes and their volumes.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Doker J.,Matroid polytopes and their volumes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.731468Z

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 127ef0c4-2e40-4df1-b7e8-46f33efea8e6 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.720124Z

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 ddf293a0-525d-4850-b891-d355dc290d9c · outbound

This paper cites M.,Bier spheres and posets.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere M.,Bier spheres and posets

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.707863Z

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 b8387a08-c238-47dc-ba46-c261b6d634d0 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.696385Z

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 a8207369-7d35-45d3-9507-397fbbdcd212 · outbound

This paper cites International Math- ematics Research Notices, 2022(3):1973–2026, 2020.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.685323Z

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 58294137-a0f2-4889-b150-18dd5e622439 · outbound

This paper cites Canadian Mathematical Bulletin, 45(4):537–566, 2002.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Canadian Mathematical Bulletin, 45(4):537–566, 2002

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.673145Z

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 ac2fd685-bff1-489e-8ec3-7a5a7386db50 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.662025Z

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 ffa20b91-541a-459a-99d7-af0c1e185e0d · outbound

This paper cites A., Little, J.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere A., Little, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.650227Z

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 4c235420-c8cf-4d40-bfa9-f6c40b3da6e2 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.637762Z

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 68ec9161-8ece-4e52-b513-7ab2fd57a35e · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.624837Z

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 a54d25d4-75b1-484c-8555-37d46fec0906 · outbound

This paper cites and Hoessly, L.,Fundamental polytopes of metric trees via parallel con- nections of matroids.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.612044Z

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 0e7693b6-4d9d-4dfe-914e-752ae2035ce7 · outbound

This paper cites Combinatorial Structures and their Applications.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Combinatorial Structures and their Applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.600878Z

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 4c6deeea-4001-4388-b830-d5a804deb6e1 · outbound

This paper cites Springer New York, 1996.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Springer New York, 1996

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.587856Z

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 d7edee24-962e-4105-9d22-b7caedde5a3e · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.576770Z

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 003912db-d6dd-4ede-a5bc-90d9c6a903a0 · outbound

This paper cites and Joswig, M.,polymake: a framework for analyzing convex polytopes.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.565909Z

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 8cf3573b-a660-49f6-89d8-1be6565b8936 · outbound

This paper cites resource.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere resource

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.554626Z

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 5ab1fdf5-e566-4cb8-9c9e-7ff21bee1815 · outbound

This paper cites D., Timotijević, M., and Živaljević, R.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere D., Timotijević, M., and Živaljević, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.542572Z

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 5bda9d3e-9531-4e05-ab38-2d61f5a200cb · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-16T05:14:57.230524Z

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 e06f1783-391d-470c-8118-15a8b771c872 · outbound

This paper cites Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles.

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

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:57.119057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b91cce0-ba69-4311-ad17-2f9b2333ef41 · outbound

This paper cites Israel J.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Israel J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.530227Z

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 51dcb69d-b10d-47bb-8e0e-d4e473e79813 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.518471Z

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 0dfb01e3-bc4f-488e-bed5-7afd2e5749f9 · outbound

This paper cites A., Rambau, J.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere A., Rambau, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.506606Z

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 da2838aa-0b12-40fc-947e-4e492215ef61 · outbound

This paper cites Journal of Combinatorial Theory, Series A, 105(2):355–357, 2004.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.495474Z

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 b8ea9555-5e58-4e79-ac26-28064d16ddc9 · outbound

This paper cites H.,Combinatorial 3-manifolds with 10 vertices.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere H.,Combinatorial 3-manifolds with 10 vertices

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.483756Z

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 f6548205-dd23-47a2-b8dd-8b974cd0525f · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.471687Z

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 3cf7e64a-f917-4dc6-83da-9e81d63741fb · outbound

This paper cites Geometriae Dedicata 2 (1973), pp.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Geometriae Dedicata 2 (1973), pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.459784Z

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 44659518-da1d-415a-82c0-ada87dd21880 · outbound

This paper cites Israel J.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Israel J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.447206Z

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 df157cba-e718-47c1-b143-d6af15fb8708 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.435034Z

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 377dc6ed-ab93-4019-8b86-3bcd5de7b66b · outbound

This paper cites and Wienand O.,Convex rank tests and semigraphoids.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Wienand O.,Convex rank tests and semigraphoids

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.422294Z

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 5a775ed5-fe87-44ab-b672-7a7e9d1e572e · outbound

This paper cites and Poullot, G.,Deformation cones of hypergraph polytopes.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Poullot, G.,Deformation cones of hypergraph polytopes

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.410471Z

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 601dc898-633b-4fa8-9abe-269f76ecb0a0 · outbound

This paper cites and Poullot, G.,Deformation cones of graph associahedra and nestohedra.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.399255Z

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 089bd44a-5af2-46cc-9f7e-4ddc3cc8dc16 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.388208Z

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 44b31691-6cdc-4bc0-b7a2-08cdc5a21da0 · outbound

This paper cites and Williams, L.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Williams, L

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.377043Z

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 93d0aefc-2ffa-4f34-9307-b7688c732c86 · outbound

This paper cites and Yost, D.,More indecomposable polyhedra.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere and Yost, D.,More indecomposable polyhedra

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.365721Z

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 dd0e76a3-a67a-475c-8f21-0534791e53cc · outbound

This paper cites C.,Decomposable convex polyhedra.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere C.,Decomposable convex polyhedra

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.354227Z

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 1be182e2-f620-4bb8-a822-671433e13ef5 · outbound

This paper cites an unresolved cited work.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:57.342462Z

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 0e3ba306-aa0d-45f6-b5a8-1f66cc5b1290 · outbound

This paper cites Matematički Vesnik, 1(71):104–122, 2019.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Matematički Vesnik, 1(71):104–122, 2019

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:14:57.330636Z

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 1fe281dc-4d5c-48fe-87cb-f336c10680e5 · outbound

This paper cites Ž., Živaljević, R.

Indecomposability of the median hypersimplex and polytopality of the hemi-icosahedral Bier sphere Ž., Živaljević, R

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:57.196799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.