Pith. sign in

Paper Citation Record · LEDGER

Cell structure of mediangle graphs

As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2505.23293.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.23293 v3

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:03:02.940635Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T22:18:47.090289Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T02:53:29.864477Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact10
  • verified fuzzy6
  • unresolved15
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f04856b0-5f39-4c99-9a51-9beeccf6be26 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:03:07.981319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:00.408406Z digest=sha256:14951d816e95bb35059df3eb2d1fe2b16b7b81403758366f9f037c282d6c201e

Observation 8e0d5141-ac54-4b6d-a726-320080797855 · outbound

This paper cites Bandelt, V.

Cell structure of mediangle graphs Bandelt, V

Reference 2

Resolution
verified exact
doi, observed 2026-08-07T13:03:05.383565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:00.453842Z digest=sha256:2539f20fc5dd4cb7ce0bbb4889c2d4a75c805c03a7b875c027dd5d59809a637d

Observation 8187400e-1a04-4bbc-a24d-8176f2c6b1f6 · outbound

This paper cites The algebra of metric betweenness I: Subdirect representation and retraction.European J.

Cell structure of mediangle graphs The algebra of metric betweenness I: Subdirect representation and retraction.European J

Reference 3

Resolution
verified exact
doi, observed 2026-08-07T13:03:05.074617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:00.522138Z digest=sha256:898418882e3d130a782546ba425fc9c303e21cb59d6915b3b2bc2f8e4876bdb6

Observation 451cb66a-0152-445f-a997-a38b8c25b399 · outbound

This paper cites COMs: Complexes of oriented matroids.J.

Cell structure of mediangle graphs COMs: Complexes of oriented matroids.J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:00.605564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:00.605564Z digest=sha256:a5b31b02c18549b8afeb8b973ed425aed047e16c2f96b9432a830d0804d013ec

Observation 6d93c211-ac82-4472-a42b-5004a312afc0 · outbound

This paper cites Edelman, and G¨ unter M.

Cell structure of mediangle graphs Edelman, and G¨ unter M

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:00.670905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:00.670905Z digest=sha256:f4e117d41a35695d7b8ff3ab52ad7fb7b470282288b908201541644f4f6efd24

Observation 43b26e2f-5083-441c-8f00-ea9e4de58149 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:00.744013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:00.744013Z digest=sha256:802b8ada5584112b3c74e67080e8860185a920a0a6b443f072427123b4be2a67

Observation 5d13633a-5bfa-44dc-b651-5f89931c70e1 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-07T13:03:04.957468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:00.810578Z digest=sha256:50707f075ecd9bb7bf9779419da1757f035e76557ec7b17fd1773e8ea6973d34

Observation 0e4ddbc9-392d-4348-96b6-fb7fc37c84a3 · outbound

This paper cites Graphs of some CAT(0) complexes.Adv.

Cell structure of mediangle graphs Graphs of some CAT(0) complexes.Adv

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-07T13:03:00.915444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:00.915444Z digest=sha256:9fb218c0b022bc5b42a38391e78ff153650048a2a15200aba7be0ebbd1ad48f0

Observation 58bb1621-89bc-43bb-9184-5d83a48c04a2 · outbound

This paper cites Hypercellular graphs: partial cubes without Q− 3 as partial cube minor.Discrete Math., 343(4):28, 2020.

Cell structure of mediangle graphs Hypercellular graphs: partial cubes without Q− 3 as partial cube minor.Discrete Math., 343(4):28, 2020

Reference 9

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T13:03:06.071561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.024732Z digest=sha256:c38ef2dcb515babc6f64ba7c6f3f56e15a10710736099533433a1091477e4802

Observation 39cbf671-b217-4f87-b804-84242c7bec1a · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:03:07.793733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.136587Z digest=sha256:a2f0c2827fecc4e34a66619fa83ac14a744e39b703fa6b95ef496f2ad2ea64ef

Observation 0b89d38e-9c05-4de0-85a8-d8949d0c7124 · outbound

This paper cites Les immeubles des groupes de tresses g´ en´ eralises.Invent.

Cell structure of mediangle graphs Les immeubles des groupes de tresses g´ en´ eralises.Invent

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:01.253372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:01.253372Z digest=sha256:2084c786b54ccf1b58f641b259fcc90d2b1c41e9bdda1afe43029a1546a915dd

Observation cc4663be-07e3-4990-90de-94ca418d62d1 · outbound

This paper cites Finitary affine oriented matroids.Discrete Comput.

Cell structure of mediangle graphs Finitary affine oriented matroids.Discrete Comput

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T13:03:04.705497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.323953Z digest=sha256:556d152023438001d7e74dbf8b3b61a20a9f24d571d58cb7f34305602229dcab

Observation ad18ec43-50a5-4087-aad1-b7ed39dca0fb · outbound

This paper cites Djokovi´ c.

Cell structure of mediangle graphs Djokovi´ c

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:01.427207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:01.427207Z digest=sha256:23146a16b9588d13ea1fc1efd6109ef70d12eda03c596082196f5bec017a075a

Observation e7daccc9-ef00-42c8-8c0a-44214b6ddbf5 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-07T13:03:04.368140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.508090Z digest=sha256:20651e12ab468a48034b16354c5846ec4b59efec5d5874876b8ae04804eddda3

Observation ab691c7f-53a4-4118-a420-05b3ab69ef47 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:01.611836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:01.611836Z digest=sha256:02b6532ea87bd6a05c58c8ba2459be639c354ef534f0debc2032857771b556f0

Observation 74caf628-c14a-4c8a-9007-2bfc71afa9c5 · outbound

This paper cites Edmonds and A.

Cell structure of mediangle graphs Edmonds and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:07.569702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.712205Z digest=sha256:d37d7557baef50363d97233bbe9284de12123599501767cc333eb167b2bc90f4

Observation 0f1dcfe5-6e2b-490d-b8ae-6c2e1c7d38e3 · outbound

This paper cites Folkman and J.

Cell structure of mediangle graphs Folkman and J

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:01.795174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:01.795174Z digest=sha256:38ddbd4c04f7df3cc40ab68fad74346d3d5272bf4b0c150f4f9622215156b79e

Observation 560a73f9-cdba-4bf4-975d-a0664b53a680 · outbound

This paper cites Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups.

Cell structure of mediangle graphs Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:01.866279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:01.866279Z digest=sha256:8a3eca6b02953bd56e96b1f90d2eea6562b33a9e2dceb8d9d079a87607431fc4

Observation a137aedd-29c7-4c21-927b-9661cf4022aa · outbound

This paper cites Rotation groups virtually embed into right-angled rotation groups.

Cell structure of mediangle graphs Rotation groups virtually embed into right-angled rotation groups

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:03:05.655496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:01.957521Z digest=sha256:54a3ef1b3b22217fe777f6bcf1d56fe87a80f716c1540ffe080bcdc8edd135e1

Observation 3689a6b9-d2ad-4743-8a4c-279d031e184c · outbound

This paper cites Gr¨ unbaum.Convex polytopes.

Cell structure of mediangle graphs Gr¨ unbaum.Convex polytopes

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:07.370871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.030181Z digest=sha256:67a8089fb59a50617a9285f4019fc541bbd7f353a5673605a93d10218e4394aa

Observation 99ea71e5-11a2-4629-a62b-4f70f0a9950f · outbound

This paper cites Simplicit´ e de groupes d’automorphismes d’espaces ` a courbure n´ egative.

Cell structure of mediangle graphs Simplicit´ e de groupes d’automorphismes d’espaces ` a courbure n´ egative

Reference 21

Resolution
verified exact
doi, observed 2026-08-07T13:03:04.101909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.101741Z digest=sha256:f6308411efabb91c8c87ab47aa73670eef0beef846c5b42bd3cae2ca9abf1157

Observation 50ebab17-ff2d-4cd0-bbfb-cc719565fb5e · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:02.158512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:02.158512Z digest=sha256:0790d9fc78047623157d5eac65c85bf101f1c1b0e3397f28074abf2740b95d2c

Observation 6636a341-6a10-4033-bb32-3869a539b5c4 · outbound

This paper cites Cambridge Univ.

Cell structure of mediangle graphs Cambridge Univ

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:07.105557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.209358Z digest=sha256:8d77e366fa849bdf22e95268eba19d824afd88bb20f9d022663adb9171a73bc5

Observation e4195bb9-c741-4ba2-873b-6192e63ca2c7 · outbound

This paper cites Convex excess in partial cubes.J.

Cell structure of mediangle graphs Convex excess in partial cubes.J

Reference 24

Resolution
verified exact
doi, observed 2026-08-07T13:03:03.758893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.274366Z digest=sha256:3154fce4e45f3f91253f030352a46741d1e5bc16d5dc67e967ae7510a71866f9

Observation 9c82aebb-5859-4e11-952d-365ba1a39455 · outbound

This paper cites Knauer and T.

Cell structure of mediangle graphs Knauer and T

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:02.337394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:02.337394Z digest=sha256:1bb3aace154e3c321bc04e44aa402ac377c00edc69c1058759d99dea0529d2aa

Observation 622f0dcb-b86d-4163-afd5-6ea7a54e8a36 · outbound

This paper cites Oriented matroids and beyond: complexes, partial cubes, and corners.

Cell structure of mediangle graphs Oriented matroids and beyond: complexes, partial cubes, and corners

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:06.957725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.400031Z digest=sha256:5b0d9479f99f349b866c56442d2bab8abb1c1884111dede425f1348442f7d651

Observation c97cc3da-5b65-4ba2-b58a-8b3c5d114046 · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 27

Resolution
verified exact
doi, observed 2026-08-07T13:03:03.444156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.467393Z digest=sha256:b40c7a5f35ae6d9357115ca45b522f0f4aed33b5b5508ca5a7399234ade2d1b1

Observation 403c248a-415e-417f-a19b-1a268ea0573c · outbound

This paper cites an unresolved cited work.

Cell structure of mediangle graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:03:06.828209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.552667Z digest=sha256:2f65baae064247cebb40f47fb2f2d9ce4f33486691b80703bc14dbcc6bca0935

Observation a9f95d70-11b6-40fc-9993-8781ca0abca0 · outbound

This paper cites Notes Math.Berlin: Springer, 1997.

Cell structure of mediangle graphs Notes Math.Berlin: Springer, 1997

Reference 29

Resolution
verified exact
doi, observed 2026-08-07T13:03:03.266008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.623038Z digest=sha256:0acbfe7f90f98013f9afcac445d30235d467e3a287adf996a15128386eceff43

Observation d9e384ff-22cd-41f8-956a-6f0d58c6c247 · outbound

This paper cites Poc sets, median algebras and group actions.

Cell structure of mediangle graphs Poc sets, median algebras and group actions

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:06.684863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.692766Z digest=sha256:7c4f20a4b2c6a7246f40911e512cc2d3d5302f52224d34ca720d8c15c548bcab

Observation 485d0e6a-4c98-40da-b5c7-41a17cae94d4 · outbound

This paper cites Ends of group pairs and non-positively curved cube complexes.Proc.

Cell structure of mediangle graphs Ends of group pairs and non-positively curved cube complexes.Proc

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:02.759261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:02.759261Z digest=sha256:4b9ceca7545ba148c77849ad6210d846f0f77fbe044f27a9f36d93cb9dd763b0

Observation 7b60921b-1ee6-427a-9b42-e99375c2ebcb · outbound

This paper cites Notes Math.Springer, Cham, 1974.

Cell structure of mediangle graphs Notes Math.Springer, Cham, 1974

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:03:06.530296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.829102Z digest=sha256:12ddf746a154b5c47ecf32a726094763d31a1b10c1e8c88e06a389dafac21eaf

Observation 9715be6b-daa9-4710-8023-084134587089 · outbound

This paper cites Ziegler.Lectures on Polytopes, volume 152 ofGrad.

Cell structure of mediangle graphs Ziegler.Lectures on Polytopes, volume 152 ofGrad

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T13:03:02.888017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:03:02.888017Z digest=sha256:a56573b75b9ab7ecbb824b31c1c512a2aab457ebd77da055973487252b82e43f

Observation 4563085b-8c37-4b2e-8fe2-349de4c0459a · outbound

This paper cites Ziegler, Laura Anderson, and Kolja Knauer.

Cell structure of mediangle graphs Ziegler, Laura Anderson, and Kolja Knauer

Reference 34

Resolution
malformed identifier
doi_truncated, observed 2026-08-07T13:03:03.106861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:02.940635Z digest=sha256:9c58d11e13685be86425463b93f4dc92e42c96267826ee6ac3d266fccdf0ee89

Pith citing papers

Observation d08c40ff-c306-45e6-a1e0-66a0bdbb4769 · inbound

Weak order on groups generated by involutions cites this paper.

Weak order on groups generated by involutions Cell structure of mediangle graphs

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-02T02:03:31.996354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T02:48:50.747522Z digest=sha256:5615f5aaa109e6c110d565a78c0109a6721ba29f192eb5da4d62d81aa6170d20

Observation f0e2c5fe-7c3e-40c6-afed-9077935a4bd0 · inbound

Ample sets in Cartesian products cites this paper.

Ample sets in Cartesian products Cell structure of mediangle graphs

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-11T22:18:47.090289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T22:18:47.090289Z digest=sha256:d43e66ca2e439096f21ec171d5496bb69beda91df781c50b5727302d205982ce