Paper Citation Record · LEDGER

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2607.07920.

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

pith.paper-citation-record.v1
2607.07920 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T15:24:34.194828Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:36:34.325204Z

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 exact3
verified fuzzy21
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf0a9a6b-6641-4527-8306-1188477df2c1 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.315171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a83c714-09e2-4e79-8913-770995fb1556 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.316962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1698d7ff-d740-4eb9-9589-6a2183d84e00 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.313599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d0003a6-3237-44cf-963f-fb3c77f145a4 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.308389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e2d4ff06-6b40-4890-805b-3267568a1b6f · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.309989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e132c7be-99b0-4485-aadc-952a6868e251 · outbound

This paper cites Ovchinnikov, Partial cubes: structures, characterizations, and con- structions, Discrete Math.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Ovchinnikov, Partial cubes: structures, characterizations, and con- structions, Discrete Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.311909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d469c130-b571-4a15-854f-6b1f4b29dfc9 · outbound

This paper cites Imrich, S.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Imrich, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.318630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d060d4e-0af1-4d7f-b012-2994715a0cc7 · outbound

This paper cites Hammack, W.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Hammack, W

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.320290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04e01711-02d1-4636-8303-5cca9e0cb1ef · outbound

This paper cites Imrich, S.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Imrich, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.365492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b91c2325-7b9d-4028-ba5a-5d52c96e13c0 · outbound

This paper cites Bandelt, V.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Bandelt, V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.367382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e060ee64-8e15-4631-80ad-6ba3f90bf058 · outbound

This paper cites Bandelt, Retracts of hypercubes, J.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Bandelt, Retracts of hypercubes, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.370835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da7d3f6b-ca25-46d7-8177-37a6c28a0c4e · outbound

This paper cites Bandelt, H.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Bandelt, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.360452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 215a43d3-24b2-494d-9c25-1df8dbcbcaeb · outbound

This paper cites Wilkeit, Isometric embeddings in Hamming graphs, J.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Wilkeit, Isometric embeddings in Hamming graphs, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.363824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1858e6d1-f4c5-405e-b08f-7bbb0d0c7323 · outbound

This paper cites Aurenhammer, J.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Aurenhammer, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.356871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 033116a9-ef7a-4f1d-a71a-68512b040ce7 · outbound

This paper cites Imrich, S.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Imrich, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.362069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf772622-947d-462f-abab-f98186ce7196 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.369003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d0e5e8c-06be-4462-9cea-b275969a0c0b · outbound

This paper cites Eppstein, The lattice dimension of a graph, European J.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Eppstein, The lattice dimension of a graph, European J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.372491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 15cdb91a-e064-4b9a-9970-df98f580672f · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.353498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60c559c7-695c-4acc-ae25-3f807313bdb5 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.351875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation efa776a6-9649-45a6-bd6e-d56183d9e61c · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.346803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d15a6556-ff0a-4738-bddc-48c88c06350f · outbound

This paper cites Laurent, Hypercube embedding of distances with few values, in: H.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Laurent, Hypercube embedding of distances with few values, in: H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.350209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f74a33a-e342-42c6-8010-da99acc62c11 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.343135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 27d523df-3d90-49b7-80bf-8c83c03c5b39 · outbound

This paper cites Factorization and pseudofactorization of weighted graphs.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Factorization and pseudofactorization of weighted graphs

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:27:20.146171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 37168459-95d3-4dc8-8e0a-81b847e6a009 · outbound

This paper cites Ebrahimi Boroojeni, M.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Ebrahimi Boroojeni, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.345035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b7794e29-e649-42b9-b727-0bb8c4a93569 · outbound

This paper cites Smith Normal Form in Combinatorics.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Smith Normal Form in Combinatorics

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:27:20.151239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb0f3210-3585-43e0-9243-420e47538d2e · outbound

This paper cites Godsil, G.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Godsil, G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.348500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b708454-eebc-4cb9-892f-425d5e57b40d · outbound

This paper cites Schrijver, Theory of Linear and Integer Programming, Wiley, Chich- ester, 1986.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Schrijver, Theory of Linear and Integer Programming, Wiley, Chich- ester, 1986

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.339870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff761a9f-8467-4e49-8d6a-269fb49f68a4 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.341462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00d005e0-9755-4746-b30c-22c38ff2951e · outbound

This paper cites Green, I.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Green, I

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.338083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60a861e7-d7fc-466c-810a-63dfd5e391d3 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.358586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ad24b267-66e1-4380-b3ee-c1b623f85f31 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.336438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60bea43d-3be9-480f-af35-1735c8a2209c · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.333061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0edafeef-14de-496c-95dc-8f4918af1512 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.330883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e95fa027-cb3e-414c-8230-ac75c9c01e3d · outbound

This paper cites Sandryhaila, J.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Sandryhaila, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.328071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 049996f9-37a8-4df8-ad0a-51d03fe748c3 · outbound

This paper cites Ortega, P.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Ortega, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.355048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2b9db2df-fbf3-4ee7-8ccc-5143f3553d67 · outbound

This paper cites an unresolved cited work.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:27:20.334816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 158318ea-57a6-4b59-ad8a-0bcd9e5cb0d4 · outbound

This paper cites Fokam Souop, L.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Fokam Souop, L

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.323513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a1a40995-8b6d-4d2b-86ee-44398dfda917 · outbound

This paper cites Fokam Souop, L.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Fokam Souop, L

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.326263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed732f90-58ed-45b0-be45-dbf1d1145040 · outbound

This paper cites Signal Process., 2026.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Signal Process., 2026

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:27:20.321894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 37d23832-f8c7-41d5-b6ac-32592ba7865d · outbound

This paper cites Minimal Isometric Embeddings of Graphs into Abelian Groups: Theory, Algorithms, and Applications to Signal Processing over Networks.

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups Minimal Isometric Embeddings of Graphs into Abelian Groups: Theory, Algorithms, and Applications to Signal Processing over Networks

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:27:20.148894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation b5752968-f404-412c-a01c-92a131d8b79e · inbound

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals cites this paper.

Harmonic Analysis on Graphs via Isometric Group Embedding: A Canonical Fourier Transform, Shift, and Convolution for Network Signals Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T05:36:34.325204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb02fc13-112f-4295-bf0b-ce97cae2dc99 · inbound

Tight Wavelet Frames on Graphs via Isometric Group Embedding cites this paper.

Tight Wavelet Frames on Graphs via Isometric Group Embedding Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T04:55:15.800940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.