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Paper Citation Record · LEDGER

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices

As of 23 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2502.06730.

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

pith.paper-citation-record.v1
2502.06730 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:38:41.904958Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

13 of 13 outbound references displayed

  • verified exact4
  • verified fuzzy7
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22e478fc-c0bb-4453-84e7-2a158edbffc0 · outbound

This paper cites Beasley, Hartmut Klauck, Troy Lee, and Dirk Oliver Theis.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Beasley, Hartmut Klauck, Troy Lee, and Dirk Oliver Theis

Reference 1

Resolution
verified exact
doi, observed 2026-08-08T14:38:42.151110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.653790Z digest=sha256:6318c23810327ebc2d69d2be36926e3cf453f4b4ad585a46491fc0f238a0a1b9

Observation fe8a8bfc-9bc7-431c-89ef-5e05c525fde9 · outbound

This paper cites On the asymptotic nonnegative rank of matrices and its applications in information theory.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices On the asymptotic nonnegative rank of matrices and its applications in information theory

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-08T14:38:41.668523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T14:38:41.668523Z digest=sha256:4a5e8fcb6d5b706fe5381777a3399fa504ad8a054f3c863b40a313379225579c

Observation ecd4b12c-4007-47b9-bb98-101f7174ae85 · outbound

This paper cites Submatrix with largest sum, 2021.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Submatrix with largest sum, 2021

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.646538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.679698Z digest=sha256:aa5e6d687c03a783f9074d5e19ff37fd90f8b701a4551f3b1110442cb72bc6d7

Observation daacabb3-da85-41aa-9575-41d62223ac03 · outbound

This paper cites Maximal-sum submatrix search using a hybrid contraint programming/linear programming approach.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Maximal-sum submatrix search using a hybrid contraint programming/linear programming approach

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.555659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.689867Z digest=sha256:6c2348cf3c706b2bad82d8efeb949fbcf3b625433dcaabf254e8e789b525d59d

Observation eeb7a5a5-a099-4168-b2d4-6d8950152422 · outbound

This paper cites \"U ber die verteilung der wurzeln bei gewissen algebraischen gleichungen mit ganzzahligen koeffizienten.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices \"U ber die verteilung der wurzeln bei gewissen algebraischen gleichungen mit ganzzahligen koeffizienten

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.483520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.700863Z digest=sha256:b7cafa05d78cd15cfe8ec4d7e219172590a0cff17c807ae776b38eee451e348f

Observation 81d723db-7331-4660-9b32-2f80c8ca5e3b · outbound

This paper cites Upper bounds on the boolean rank of kronecker products.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Upper bounds on the boolean rank of kronecker products

Reference 6

Resolution
verified exact
doi, observed 2026-08-08T14:38:42.112406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.710390Z digest=sha256:de634e630e15c8cd5ecc4142c087d113db75a99a1a133fc1493a64ae73e80fb5

Observation 4d62ea2c-83a0-4a01-8eaf-96d9ff2e4cf7 · outbound

This paper cites On the Binary and Boolean Rank of Regular Matrices.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices On the Binary and Boolean Rank of Regular Matrices

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-08T14:38:42.185841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.721397Z digest=sha256:1a4815f7401e526ef66982799d5a604568822ca3ee9e9176bff10e8767a585cb

Observation fa857438-9500-453b-8b92-bd0e96c01442 · outbound

This paper cites On biclique cover and partition problems.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices On biclique cover and partition problems

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.451113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.732178Z digest=sha256:cefc984b879b78647f858c8838e9908ba7085f7b36fb3ec37f4352928c41d5e6

Observation a99d4643-d71e-43cf-b76d-5a651ef5e160 · outbound

This paper cites u bbecke. Column generation. In M. L\.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices u bbecke. Column generation. In M. L\

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-08T14:38:41.759321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T14:38:41.759321Z digest=sha256:fd4dda0bc639bedc9bb862f2b39d5c415158f5c37140ddeed85bfdaeed4f092b

Observation 95e12b8f-6b10-4c7a-8745-69be1564d55e · outbound

This paper cites Nonnegative rank vs.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Nonnegative rank vs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.423438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.810058Z digest=sha256:1e03477ddd2b5419d7803f0e0ffffcd161e8e05fe04aa630765ed3003126bf35

Observation d03c0d04-c76e-460b-b0a1-67ac66670396 · outbound

This paper cites Boolean rank of kronecker products.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Boolean rank of kronecker products

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.392088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.842429Z digest=sha256:4fb306cf2ed81a10c1a7a28270b34075fc3b76f584a038d8e1ed705a769ff2c9

Observation 8eb6c26b-d6c9-4b37-b36d-04ffb909ea61 · outbound

This paper cites Fractional biclique covers and partitions of graphs.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Fractional biclique covers and partitions of graphs

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T14:38:42.362089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.872526Z digest=sha256:20eac2abb719c9cc4d9b5b3f27ae2414c2860bf1ee8570140df4c115a248df4b

Observation 31452d02-cfc6-4819-9d67-fb12ffdeccbc · outbound

This paper cites Phillips, Gary L.

Engineering Insights into Biclique Partitions and Fractional Binary Ranks of Matrices Phillips, Gary L

Reference 13

Resolution
verified exact
doi, observed 2026-08-08T14:38:42.041176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-08T14:38:41.904958Z digest=sha256:4b8bb17f9b9fc949a8906fb72ece6b3290cfac119df5346013a9f7c91c583f9d

Pith citing papers

No inbound Pith citation observations are available.