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Paper Citation Record · LEDGER

Beyond graph products and cactus groups: quandle products of groups

As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2505.09194.

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

pith.paper-citation-record.v1
2505.09194 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:48:53.320446Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T02:48:50.747522Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T02:53:29.859748Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact3
  • verified fuzzy15
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b892a561-3163-451d-99d7-4685500066df · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.842447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.186716Z digest=sha256:1761608f0453d8b648ffd5d8366c840f3f7631ecd4d4d1d91aa10c55d7d0059b

Observation 791b5601-354c-4599-9f58-5884eb6d8cde · outbound

This paper cites Antol\'in and A.

Beyond graph products and cactus groups: quandle products of groups Antol\'in and A

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.191190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.191190Z digest=sha256:6224443550f52bf948f5cb524303ee8ad0cbbd57813ffb8a2e22f2ab521a5669

Observation 8a9efedb-75e3-475b-a33c-bddc8fa04259 · outbound

This paper cites Bre s ar, J.

Beyond graph products and cactus groups: quandle products of groups Bre s ar, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.194983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.194983Z digest=sha256:30c5b8252fe821ed0de963535ec26473e8d38c07e1c54551cc719af936eb6b37

Observation 666bfe3e-48c1-4fc3-ac0a-0cf6ffb48294 · outbound

This paper cites Bellingeri, H.

Beyond graph products and cactus groups: quandle products of groups Bellingeri, H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.817517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.199127Z digest=sha256:3e2fb5f3c347de79a64c7c8dbdac5821d58298a8685d2dd63e842bae08a85bd4

Observation bbc3cbcc-d789-4401-b12a-822008693531 · outbound

This paper cites Brown and R.

Beyond graph products and cactus groups: quandle products of groups Brown and R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.806388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.203115Z digest=sha256:e472cf91ac98bd66faf80bb924cffef0dbdd9f2b0bcb5a87d80be4a450d03a73

Observation 98d2c08e-6389-41c1-8520-2546b4cef0e9 · outbound

This paper cites Trickle groups.

Beyond graph products and cactus groups: quandle products of groups Trickle groups

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.206908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.206908Z digest=sha256:63364b76e5279b9af795620232f50b45e46fc2d8f3a4d83746ef8a905d00f0fc

Observation afc041d1-18c4-4c19-951c-4694dca068fd · outbound

This paper cites Bell and D.

Beyond graph products and cactus groups: quandle products of groups Bell and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.795214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.211101Z digest=sha256:c06ebb016b3951b09f61a20ef0abbb9707e70f5dc495a892e5458beaae7f1f55

Observation 89d2d78d-f56b-4a45-b59f-90343f4150da · outbound

This paper cites Bandelt, H.

Beyond graph products and cactus groups: quandle products of groups Bandelt, H

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.214747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.214747Z digest=sha256:7ba83abb01a15b683ef5d874e158c2893036ed354ed27368d5d7e96f9bd41c83

Observation a1dd4bd6-f60d-488b-bcdb-973d1f4b7e72 · outbound

This paper cites Bonnaf\'e.

Beyond graph products and cactus groups: quandle products of groups Bonnaf\'e

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.776720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.218396Z digest=sha256:d732f8ec2b70b0a9ad5ab3e1658c78445b3bfc9d40170254e7616111b99d51df

Observation 0edd8b39-35f1-4fd5-add0-02d293f7e40d · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.765915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.222041Z digest=sha256:2223fae022e34d6c08480ce2e2dd4ea44ab7f6153c705b309838628133176b8c

Observation bdfc2ae8-ddcf-4f28-afb1-2cdd974252f6 · outbound

This paper cites Clancy and G.

Beyond graph products and cactus groups: quandle products of groups Clancy and G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.754623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.225911Z digest=sha256:8c14f4085267e11114d1423732c274c0ca4ee319a7129852fb0efee1b7d941e0

Observation fb532e9b-41b2-409e-90a4-308108c758b4 · outbound

This paper cites Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups.

Beyond graph products and cactus groups: quandle products of groups Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:48:53.519458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.229726Z digest=sha256:02b3bfd48a9f3a289ca35c32d1b46e10245c96dd462a38c9ecfe9788f2d1b1e3

Observation 56d3ddf5-af9a-46a9-9631-30928e257632 · outbound

This paper cites Combinatorics of affine cactus groups.

Beyond graph products and cactus groups: quandle products of groups Combinatorics of affine cactus groups

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:48:53.501456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.233666Z digest=sha256:27ae710dd1fe165d372f6abb483b439c531d068b911a53e7caa1c58a9667d51b

Observation c036772d-5806-41db-b3bc-982f78a2be85 · outbound

This paper cites Chiswell.

Beyond graph products and cactus groups: quandle products of groups Chiswell

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.742734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.237520Z digest=sha256:3cfab8e573c64fe74b8eca55e82b9782a36dfa3201a35178cc9e11dde48f055a

Observation 28d22bdc-306f-4b2b-9000-e51eab8ad49e · outbound

This paper cites Dershowitz and J.-P.

Beyond graph products and cactus groups: quandle products of groups Dershowitz and J.-P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.731697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.241104Z digest=sha256:8f90e380fa415034217b44b361045895abe82cee2d35deae177778a98485268a

Observation fcf40842-d874-4075-a625-1c4537b9fe9f · outbound

This paper cites Dranishnikov and J.

Beyond graph products and cactus groups: quandle products of groups Dranishnikov and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.720480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.244490Z digest=sha256:b7d4dbcedbcdee5d7ea1f4bf03c64c577937edefe53245f0cad334f66aa7d971

Observation 271e9772-8805-43d1-9383-9305d3f4ba5a · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.709402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.248071Z digest=sha256:9b58bd21f39c35f484c8a94a206458515b617f1d03125aae97c223ea5143dcb0

Observation d3424cd0-a0a1-4b0e-a910-351cdd81a77c · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.698873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.251500Z digest=sha256:e5ed723ff3610c5c47e022dd1bb8a819b1a4a702b4eec268c73a48dc0847adda

Observation a73569c9-6b13-48f4-8a45-7975c2283a2b · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.254985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.254985Z digest=sha256:48bc944be1a71182851c6c98f0ee271d74b4934e46a35d285e6de9bfcfefb0a6

Observation 87303d33-2665-41c7-b21f-737e1bc7e107 · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.258669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.258669Z digest=sha256:6e401d73856fa690ddb09e7c235a85f223a6165cf3507be49eb7650343c87f69

Observation 31a91d18-f9ea-4af4-a353-f85f7bf43bb8 · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.262221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.262221Z digest=sha256:6fc2d812b7ab08e7e8abb7614d1d23f32e021326a9afd7009787725f44b10874

Observation ee220b3f-001d-4bb7-bdd6-780ca601cc05 · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.675639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.265809Z digest=sha256:bf05c1e9ec9bd2aac5f83d51c2dc006c79ff32650a9259905035654b26c45329

Observation 0c504c2f-9efb-4ed7-9308-08080bacb44d · outbound

This paper cites Cubical-like geometry of quasi-median graphs and applications to geometric group theory.

Beyond graph products and cactus groups: quandle products of groups Cubical-like geometry of quasi-median graphs and applications to geometric group theory

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.269499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.269499Z digest=sha256:300e2014f52242a2053f2bf8e9788780aef8ad5ccbffe451363b5fd952f8828a

Observation 95a492ce-c51f-41a0-924f-0f96bb37e7d0 · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 24

Resolution
verified exact
raw_fallback, observed 2026-08-15T21:48:53.415465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.273728Z digest=sha256:945358fb4969585d665108c58206104150679312e964c0d7083073962da5f577

Observation 2360b838-d1f5-4255-8708-53b19e592eb2 · outbound

This paper cites Genevois.

Beyond graph products and cactus groups: quandle products of groups Genevois

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.663624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.277218Z digest=sha256:783b54c60d900a1e4496d3e5847d28db9e5a8aee7722dfd8c68466a9bfa0cf17

Observation 82e6fe76-8369-400b-9cca-5400f407afa6 · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.652872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.280885Z digest=sha256:4c5aa5ba0f3d7173e8df337573eadf6522b41d94659b1b548f1551fc19db5c1c

Observation 369cd076-fee0-4c1d-b300-2ddd98514fc2 · outbound

This paper cites Guba and M.

Beyond graph products and cactus groups: quandle products of groups Guba and M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.641844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.284482Z digest=sha256:0e36e7b85eb44e723d0db4bcaab97ea40aed4c2f3820b78116cdaa9b7f52b14c

Observation 9dd8bf58-546b-4871-be30-aa23a66539cb · outbound

This paper cites Guba and M.

Beyond graph products and cactus groups: quandle products of groups Guba and M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.629906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.288243Z digest=sha256:1b5affdb8fe6f514b72c375549868bfd551e4a1295fceee857bfefa33e6b5b94

Observation c209adc8-d891-42e5-8774-d5875e630bf5 · outbound

This paper cites Lamplighter-like geometry of groups.

Beyond graph products and cactus groups: quandle products of groups Lamplighter-like geometry of groups

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.291713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.291713Z digest=sha256:42ffc05b04c5e44fb284daac6893a58af9c008284663c35577a8dd663af7ae16

Observation fbdd730d-a4b4-4ce8-841d-9a78ab0dc39d · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.617741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.295816Z digest=sha256:5497bcd526dd195115f4ef8c1664f5eeb2a26d94855fe6b6332abb555ef581a0

Observation b33d3222-ed8c-4a1d-a207-73b016a9cbbd · outbound

This paper cites Haglund and D.

Beyond graph products and cactus groups: quandle products of groups Haglund and D

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.299446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.299446Z digest=sha256:34cc8c0f66957c76e7e7f040410deb618f5ad86c524ba12f8f6a82df06d1af2a

Observation c82412db-fb03-4cf9-9646-47e7599d458c · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.597134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.303047Z digest=sha256:c1cba7309e46afee62c847d893a75d58eeeda83c06e8c49d37c40ef10409886e

Observation 8e747997-9922-4204-adc5-854dec055e5d · outbound

This paper cites Kropholler and A.

Beyond graph products and cactus groups: quandle products of groups Kropholler and A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:48:53.586094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.306477Z digest=sha256:ac113bce895b2717438c664c1c15be4463275cc675a1aeb16b7488dfe2a20617

Observation fdd08fc2-56f5-4cdf-b947-cd61508e8242 · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.575342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.309957Z digest=sha256:f5f80dcd214923d5d06ece396390acd7a4ac7edb11000e1ed9e3280d6306ea4b

Observation 28d7d890-0b3a-4690-ad83-5d9bc79dc319 · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-15T21:48:53.313203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:48:53.313203Z digest=sha256:3bef99cd4ffc3196ae820e7e491ccfee85534a0b175f2b3cc07e04852a9712bd

Observation 6cb1cd69-d736-49e7-aafa-8800f4602d29 · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.557371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.317018Z digest=sha256:0bcb61d8ad9465e4106b236fae56458303506fba37d0c8fc433f5cd84ef531bf

Observation ca4e2ee6-e17a-4fb1-bc77-72101df84055 · outbound

This paper cites an unresolved cited work.

Beyond graph products and cactus groups: quandle products of groups Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:48:53.545195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:48:53.320446Z digest=sha256:1db8f2fc51a504e5fc368cc08b7ed921472edfc76c6729f865b774efc403cd32

Pith citing papers

Observation 52377d08-1d4d-43b7-887b-1e6e1111bbc4 · inbound

Weak order on groups generated by involutions cites this paper.

Weak order on groups generated by involutions Beyond graph products and cactus groups: quandle products of groups

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-10T02:53:29.860953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T02:48:50.747522Z digest=sha256:36d58847ac21bdad2992ba5eb71dc3756f4c66d713f5bb8b497c5ad9bcc022f6