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Paper Citation Record · LEDGER

On $\varepsilon$-Matrix Product Factorization of graphs

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.27407.

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

pith.paper-citation-record.v1
2607.27407 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:59:31.426206Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1570ac73-2abf-4926-a2de-62fc41c8418f · outbound

This paper cites On prime matrix product factorizations.

On $\varepsilon$-Matrix Product Factorization of graphs On prime matrix product factorizations

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-08-01T08:04:06.414544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:29.756681Z digest=sha256:4a1ee90cd3b207745d56b7e9595842f9b6a31f8c5e4ab71e868f55814b26ee3b

Observation 60de15c7-df2e-4b75-8899-dc897776d2eb · outbound

This paper cites Spec- tral methods for matrix product factorization.Linear Algebra and its Applications, 709:111–123, 2025.doi:10.1016/j.laa.2025.01.005.

On $\varepsilon$-Matrix Product Factorization of graphs Spec- tral methods for matrix product factorization.Linear Algebra and its Applications, 709:111–123, 2025.doi:10.1016/j.laa.2025.01.005

Reference 2

Resolution
verified exact
doi, observed 2026-08-01T08:04:06.311317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:29.826206Z digest=sha256:981771aafa61f9947030237b2ca32ae88cdc8f0806a25449c55f866ef2f5147f

Observation eab3e631-c01c-4979-a33e-2e86212d2974 · outbound

This paper cites Commuting decompositions of complete graphs.

On $\varepsilon$-Matrix Product Factorization of graphs Commuting decompositions of complete graphs

Reference 3

Resolution
verified exact
doi, observed 2026-08-01T08:04:06.223484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:29.957120Z digest=sha256:bb6147a71d348c45b42674e87fb2077ac86591b2f3142494fc5dbbcd7e830bc5

Observation 85e77bda-c350-49c0-9a45-e1c34594088c · outbound

This paper cites Commutativity of the adjacency matrices of graphs.Discrete Mathematics, 309(3):595–600, 2009.doi:10.

On $\varepsilon$-Matrix Product Factorization of graphs Commutativity of the adjacency matrices of graphs.Discrete Mathematics, 309(3):595–600, 2009.doi:10

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T07:59:30.068977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:59:30.068977Z digest=sha256:26100c050becc1c411a639787dedda90b89df4190875faeec11acf917f70c257

Observation 86c671ea-ac55-45a2-be4d-952b300ad618 · outbound

This paper cites Arathi Bhat, K.

On $\varepsilon$-Matrix Product Factorization of graphs Arathi Bhat, K

Reference 5

Resolution
verified exact
doi, observed 2026-08-01T08:04:06.156206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.220516Z digest=sha256:07403cf09da795ab336333c1b1433b59d41f67459d23c62a5b2c901c2f0a4f2f

Observation 224df4c6-7ffb-4e81-ae45-c38243651e76 · outbound

This paper cites Arathi Bhat and G.

On $\varepsilon$-Matrix Product Factorization of graphs Arathi Bhat and G

Reference 6

Resolution
verified exact
doi, observed 2026-08-01T08:04:06.081011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.333818Z digest=sha256:9a04843ba740d4bc4f3cd3670e605046c984b938a9e898d0a794a4c76109d0be

Observation cbac0d19-62b7-4c8c-a44c-73e835f7576e · outbound

This paper cites Arathi Bhat, G.

On $\varepsilon$-Matrix Product Factorization of graphs Arathi Bhat, G

Reference 7

Resolution
verified exact
doi, observed 2026-08-01T08:04:06.007388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.445007Z digest=sha256:f0fe4bb6a38e3fcb31cab380ca7f63f32e9d2bc29c04892777eac4882109d832

Observation ef688b34-bb97-447b-8288-5d94190b7598 · outbound

This paper cites Herman and Bobby Miraftab.

On $\varepsilon$-Matrix Product Factorization of graphs Herman and Bobby Miraftab

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-08-01T08:04:05.904296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.558019Z digest=sha256:ad646a029caad8ea51a12853856b4accf84b85ead886237f282ea9ff5eb8148e

Observation 0a778e1e-e167-4e75-af33-fdc63ab5ec03 · outbound

This paper cites On Matrix Product Factorization in Association Schemes.

On $\varepsilon$-Matrix Product Factorization of graphs On Matrix Product Factorization in Association Schemes

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-01T08:04:05.782680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.674136Z digest=sha256:d90e3737bfbd51c24369df060f77f67e798a6ab8d09ce4227bf46f539774d588

Observation 70535468-829f-4c16-80e7-385710742711 · outbound

This paper cites On Matrix Product Factorization of graphs.

On $\varepsilon$-Matrix Product Factorization of graphs On Matrix Product Factorization of graphs

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-01T08:04:05.668928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:30.796056Z digest=sha256:34aca6de353a55028802b9def54727c056406a8faf4930be28fbd2938e14947a

Observation 4c30b622-d151-4b27-9a22-180efd4982c9 · outbound

This paper cites On the factorability of infinite graphs.Linear Algebra and its Applications, 728:409–418, 2026.doi:10.1016/j.laa.

On $\varepsilon$-Matrix Product Factorization of graphs On the factorability of infinite graphs.Linear Algebra and its Applications, 728:409–418, 2026.doi:10.1016/j.laa

Reference 11

Resolution
malformed identifier
no resolver link, observed 2026-08-01T07:59:30.912531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:59:30.912531Z digest=sha256:2e31db4d33802f18088191aa62f85f0b93e384d099f2a23e4af6ff3ae359e91f

Observation a1e8b636-ec53-4341-b37f-507b3757b82c · outbound

This paper cites Manjunatha Prasad, G.

On $\varepsilon$-Matrix Product Factorization of graphs Manjunatha Prasad, G

Reference 12

Resolution
verified exact
doi, observed 2026-08-01T08:04:05.552389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:31.028752Z digest=sha256:2985350a5b29a8773998b21dce9271e24fc42db455d2ba8bae1fce62fa24f726

Observation bd0da9fb-b4a7-49a2-b954-2165fd10e8bd · outbound

This paper cites Manjunatha Prasad, G.

On $\varepsilon$-Matrix Product Factorization of graphs Manjunatha Prasad, G

Reference 13

Resolution
verified exact
doi, observed 2026-08-01T08:04:05.359417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:31.151218Z digest=sha256:5da718bf65d3c088c52c8295d2533769df52626f956712a2104a98392cf27b7c

Observation c338c34a-2dd1-4bd1-b440-4580b40bb337 · outbound

This paper cites On a construction using commuting regular graphs.Discrete Mathematics, 340(3):532–540, 2017.doi:10.1016/j.disc.

On $\varepsilon$-Matrix Product Factorization of graphs On a construction using commuting regular graphs.Discrete Mathematics, 340(3):532–540, 2017.doi:10.1016/j.disc

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-01T07:59:31.276929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:59:31.276929Z digest=sha256:37fb31a787336d59abc2926944d83b288eefe0b8272329b5fc0073d33a35a3e6

Observation 936f9a56-2fa5-4bd9-903e-789fafc04a9c · outbound

This paper cites Sudhakara, Vinay Madhusudanan, and K.

On $\varepsilon$-Matrix Product Factorization of graphs Sudhakara, Vinay Madhusudanan, and K

Reference 15

Resolution
verified exact
doi, observed 2026-08-01T08:04:05.252516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-01T07:59:31.426206Z digest=sha256:384983f8f99bdadfc4bce13a01f31303cd5ed1737ef841cb8af640db697a3930

Pith citing papers

No inbound Pith citation observations are available.