Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:55:38.824026Z
Paper Citation Record · LEDGER
When Are Standard Graph Products Isomorphic?
As of 12 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2508.04137.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T20:52:20.375467Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
38 of 38 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 85182c7f-f712-4218-b8bc-6391f68f8d18 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:46.880429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 54ea22a4-03ac-4be5-959b-fb45f4b57a07 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:46.570713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2cc3e6f6-172b-4b60-bfbf-2d78b6053b80 · outbound
This paper cites Panigrahi, Families of graphs having few distinct distance eigenvalues with arbitrary diameter, Electron.
When Are Standard Graph Products Isomorphic? Panigrahi, Families of graphs having few distinct distance eigenvalues with arbitrary diameter, Electron
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:46.245619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 20f8f034-d89c-4fa6-af99-04dca8fa6da4 · outbound
This paper cites 27, Springer, 2010.
When Are Standard Graph Products Isomorphic? 27, Springer, 2010
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:45.933639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 496d9289-cbdb-471b-855b-74fbfe1dc2e1 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:45.701922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 18bf901c-f63d-410d-8d89-7bca6abf6e54 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:45.367263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0bf44c76-6a23-4c62-97cc-f69aab2c0676 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:45.118998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03c0abc9-19f5-429c-b4dd-67bccbb1e327 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:44.824505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85a9ae07-4c1f-4e21-925f-81d76f737c58 · outbound
This paper cites 2, 121--127.
When Are Standard Graph Products Isomorphic? 2, 121--127
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:44.429239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1e6ce152-0ed0-4577-ac74-46a4b63d24f8 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:44.116035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 05cbfdb9-df80-4ad2-84d9-484f4a96e520 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:43.791833Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2d1d8439-65a1-4d04-a2d6-ada0057626a2 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:43.517159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d3543019-83f7-4e72-9bbc-5afc63054c48 · outbound
This paper cites 439 (2013), no.
When Are Standard Graph Products Isomorphic? 439 (2013), no
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:43.367639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c4385ec6-1c29-45cf-b885-53effa6dc350 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:43.178995Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 306202e1-0f27-4364-b245-b1fcf0d58158 · outbound
This paper cites van Dam, Jack H.
When Are Standard Graph Products Isomorphic? van Dam, Jack H
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:43.031567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1d94abb5-0304-4d20-9c81-ab58e1d9f618 · outbound
This paper cites 1, 47--52.
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:42.879183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e35c7c56-fb0d-47cc-9009-47c3d0484d55 · outbound
This paper cites De., Gao, W., Heysse, K., Hogben, L., Kenter, F.
When Are Standard Graph Products Isomorphic? De., Gao, W., Heysse, K., Hogben, L., Kenter, F
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-06T00:55:39.074237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dfcc09bc-d656-4609-80c8-1a5ab1afb4e1 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:42.789887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a77a15cc-ce89-4a2e-9ab8-351fbf172801 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:42.621821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5c54b823-ae5a-4a84-982e-d5e4949f0a9e · outbound
This paper cites P., Parveen, F.: On the distance spectra of m -generation n -prism graph, AKCE International Journal of Graphs and Combinatorics 19 (3), 276-281 (2022).
When Are Standard Graph Products Isomorphic? P., Parveen, F.: On the distance spectra of m -generation n -prism graph, AKCE International Journal of Graphs and Combinatorics 19 (3), 276-281 (2022)
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:42.443655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3cce54a7-69b0-4fc9-bb36-397a349e4597 · outbound
This paper cites T., Ciubotariu, D., Medeleanu, M.: Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J.
When Are Standard Graph Products Isomorphic? T., Ciubotariu, D., Medeleanu, M.: Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:42.225166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ec948c20-b55b-419a-9563-02d97338ce52 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:42.070774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 75164b9d-f08c-4a3a-b047-6d8c3bcf5b06 · outbound
This paper cites E., Cohen, A.
When Are Standard Graph Products Isomorphic? E., Cohen, A
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:41.800004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c73c085b-b420-4f5c-b33a-232357974620 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:41.606847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85157c0c-0969-47f4-b02a-e1c4ef1ab62a · outbound
This paper cites R., Graham, R.
When Are Standard Graph Products Isomorphic? R., Graham, R
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:41.487280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bea3d9ce-8a51-41d7-a8e8-f4c4331eee2a · outbound
This paper cites J., Gregory, D.
When Are Standard Graph Products Isomorphic? J., Gregory, D
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:41.341955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 04145543-7d10-4503-8b88-f4e966df7db2 · outbound
This paper cites L.: New bounds on the complexity of the shortest path problem, SIAM J.
When Are Standard Graph Products Isomorphic? L.: New bounds on the complexity of the shortest path problem, SIAM J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:41.105883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 72de1f71-f0e4-4cc0-b0c4-2c13cd69371a · outbound
This paper cites Tee.: Eigenvectors of block circulant and alternating circulant matrices, New Zealand Journal of Mathematics, 8 123-142 (2005).
When Are Standard Graph Products Isomorphic? Tee.: Eigenvectors of block circulant and alternating circulant matrices, New Zealand Journal of Mathematics, 8 123-142 (2005)
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.931290Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4fdcc0b2-c07c-42ee-bddc-b413864f8937 · outbound
This paper cites L., Pollak, H.
When Are Standard Graph Products Isomorphic? L., Pollak, H
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.750738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dae1b680-568f-485f-9430-363523f357ce · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:40.621778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2a6d7dce-8bb2-4a24-afec-c6ac313ce791 · outbound
This paper cites T., Xu, J.
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.449700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation adcb5ba6-bc35-4feb-a1db-6175d7f8767c · outbound
This paper cites F.: Topics in Graph Theory: Graphs and their Cartesian Products, Wellesley, MA: A.K.
When Are Standard Graph Products Isomorphic? F.: Topics in Graph Theory: Graphs and their Cartesian Products, Wellesley, MA: A.K
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.332590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 07507f00-d8b2-472e-a0e5-6f2a9fb41d8e · outbound
This paper cites Commun., 13 , 123-131 (2008).
When Are Standard Graph Products Isomorphic? Commun., 13 , 123-131 (2008)
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.223476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ee29d4ee-ebd3-4fc6-87dc-386d551aca39 · outbound
This paper cites Contemp., 2 , 93-100 (2009).
When Are Standard Graph Products Isomorphic? Contemp., 2 , 93-100 (2009)
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:40.103288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ada5c4f2-5275-462d-95d2-6a51cdc1761a · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:39.968406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fd42715f-d56d-490c-9623-b73d7f3e3ca1 · outbound
This paper cites N., Powers, D.
When Are Standard Graph Products Isomorphic? N., Powers, D
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:39.773191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3de243ca-e913-499e-97fc-3af63d64b826 · outbound
This paper cites M.: The Kronecker product of graphs, Proceedings of the American Mathematical Society, 13 , 47-52 (1962).
When Are Standard Graph Products Isomorphic? M.: The Kronecker product of graphs, Proceedings of the American Mathematical Society, 13 , 47-52 (1962)
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T00:55:39.546135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8ca005c4-4175-403e-b5bf-79a24dbd4b88 · outbound
This paper cites an unresolved cited work.
When Are Standard Graph Products Isomorphic? Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T00:55:39.309617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation 8fa668e9-a46d-493e-a721-8df6e747af75 · inbound
Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians cites this paper.
Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians When Are Standard Graph Products Isomorphic?
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T20:52:20.375467Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.