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Paper Citation Record · LEDGER

On $\varepsilon$-Matrix Product Factorization of graphs

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:29.756681Z digest=sha256:7e313cfe29e1db563fe2665d5b370defeefc9d29e08c44bdc5fb570729f1832f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:29.826206Z digest=sha256:68f98091fc00cbe58f9c2dfb2cf503dbca050298b42d4f2783042cdb9aeea6f9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:29.957120Z digest=sha256:e8a252759728ee0da66550de657dcb6aee1e0af01bfe987de97d5afe987086b6

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:b1cfd3255a02d9e9d60e56ce1a5432377ffcb29d8786846b4883a46053aba94f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.220516Z digest=sha256:9a3a264b6751896ccdb521b058ebb9a5c15cc4f0f3108e300a078ae575a7f0b4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.333818Z digest=sha256:06538320f41a34d670bf5f81f0cca397d1ec9d65408e061f5a11d0c0fc2b6402

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.445007Z digest=sha256:0dda50a3cc087a2d41a64b523c7ba52f9f01e476cdb19f7c831c361205ff6ef6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.558019Z digest=sha256:436cfa209d018897930780a00e8e669630f063b6d0e8c0b039fe049fd8930049

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.674136Z digest=sha256:86a3d950c2407d0af2c64877cc27bbc8c55448bb96c6f104150bb9e96cba58d0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:30.796056Z digest=sha256:b3fe6e8a6675501be59b32839403d0e04787d7f812d46e3083114fb53a0d7c0d

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:dd8e5b6301ccc963791fafa6c07272f282fc20ed41fa09b3e2a2b6f0beb8a04f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:31.028752Z digest=sha256:93cc2f04e361540411014cd05ccb3cb86ef8cd9cdfe997c0081ab952420dca7b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:31.151218Z digest=sha256:f7766f6baf2074c871afece8d57ffde2baef57044ea2b42433f4672b955d238b

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=sha256:3e3f6510655e59171840f099f9e825c8c173341089017ecdd8d3c03710985a2f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-01T07:59:31.426206Z digest=sha256:2984c39b2e6977f56307c8ceda65ea1c7e66fa9d5eae1708d197571528459ebf

Pith citing papers

No inbound Pith citation observations are available.