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Paper Citation Record · LEDGER

Cell structure of mediangle graphs

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:00.453842Z digest=sha256:aaad39fd92d922d83211c3390115a0cbc95a1185798e3bcc63e6e77ae75511ae

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:00.522138Z digest=sha256:8adfe5b2f2806495b1acf5e49aafdd812e83441e937f354395efa39355cfdf4e

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=sha256:0e51cb7dda4dfe777f9a3ef227ee4bd7809aa32a43a2a7f8b67637679b7c5a20

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=sha256:0abcd72d210ae36b194e739e27bd2ad1541d1e927b1dc66e67d762e91880da20

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:cd5cad4176c294c5f09d7a2db1190007c66b980a7ec047fcd2597d043ae6814a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:00.810578Z digest=sha256:18dff399c26cb15d27167ab5b6cc361901979543579d5dfb94d7bde95f52b24a

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:cffb178599d08a898e492ece2da6ff0000a5ced8e48cff775deab659735b9d73

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:01.024732Z digest=sha256:86ed2db8babdb2f9c7e77c46b5ee2e8c8cc5139b6201e5a35f55e14b9dcf0924

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:01.136587Z digest=sha256:b92122578db1e3e7bd0383438289c4ae9300f38ccb191fdb1a7c02c85514d76a

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:ad32184ba1fc453e09a079886b5093cc1195e0829fa882aec1f4490ca2807aee

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 2026-08-20T06:33:59.587034+00:00.

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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:bbc62e91e76268f09ba8c330bbfb9dad244192a0c75735b0f087e88dfbd98fde

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:01.508090Z digest=sha256:d7d731eee14fb72607b7a9bd9892a9b0dfe0855e84bbeb217cb29e92bb7ba72c

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:cfbe6baa0833135cad44411459b4a24f6d380a593fbfb7c32293e1c0a5c1c09d

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
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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.

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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=sha256:6db64fce42e439203f64c03c3647bcc7635eead1ac95d4e3425b21dc9ba61c87

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=sha256:9c04a59269ea677a71a795be73eb02713f98ef0ee6f4c13804cd8dd669e3e939

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
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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.

source=pdf_text observed=2026-08-07T13:03:01.957521Z digest=sha256:471c968e101953d5f89981cf48a13a0529b8d63234653d4dbdc8c9893999e7c7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.030181Z digest=sha256:8b3dc7c38510bec591da727991aa7942e0879c6ac4913cc87f5f218dcfb91f26

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.101741Z digest=sha256:c6b276040e612e2b25e8f70726b368264be8541e85113fa4fc5a5022a154c35b

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=sha256:55aabafcbf0917365391c39c7dc563ec989b211d26c6b2f5a80312408dd962ac

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.209358Z digest=sha256:b6d5ba0667c313ce0d6ef207e0aec1e3cfef2e864776b0bae2dd2e486d196979

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 2026-08-20T06:33:59.587034+00:00.

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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=sha256:8cb6c62f2093ecf302410427bba8d9c90613daafc0fb7a8417cac001e37cae5b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.400031Z digest=sha256:2ce08ecb3c925f71d8fa7030116b5f09bda4e738f73dd55f7024539083b6425e

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.552667Z digest=sha256:5e505f574701cf0de29175ab41712d48c972c2327179b1cd041c050db973152c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.623038Z digest=sha256:f4095c58b223ba5340aba5ee9a2f0d393d20b8a5f565c242b0e318839f3e1bf6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.692766Z digest=sha256:5776261e14e17ff61bd05b9ccbd0a73420015e793fa8ea604b3a6d77aee646d8

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:f848f8873d555e6e07858124dc2821c1d65018b6fbf7aa2f8b08a7ff1bfde3db

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.829102Z digest=sha256:aad5ba68f0cb73ead68ee6e7569fa5b9a157b2b594269e0d8b4b88a733536094

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=sha256:8a93c241d70c6ac6c16d171a58a64cfab59aea62ed480e00cd66b0b3ead25f27

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:03:02.940635Z digest=sha256:dfb8e6c8dfbc141a6caabb9f2fdf2c18769a8690122626a7ffd74d6256a23c55

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 2026-08-20T06:33:59.587034+00:00.

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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=sha256:56993ef39d12939f38c2b035bfa09ce5cec073351fe0705f11bd9dd9407b8ce6