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Paper Citation Record · LEDGER

Closed Form of a Generalized Sinkhorn Limit

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.06338.

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

pith.paper-citation-record.v1
2506.06338 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:10:40.746426Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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 exact7
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation be2336a0-5a64-4b32-b914-dbd6e52336bd · outbound

This paper cites On the scaling of multidimensional matrices.

Closed Form of a Generalized Sinkhorn Limit On the scaling of multidimensional matrices

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T12:10:39.442004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:10:39.442004Z digest=sha256:f13a82a7f6752e7ab7f85ab4693eee6e33f1ee021605a7620bef8c25947bcfeb

Observation 8220a4c1-0464-419d-a226-1152dffc0ca3 · outbound

This paper cites Algebraic Geometry: A First Course.

Closed Form of a Generalized Sinkhorn Limit Algebraic Geometry: A First Course

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:43.652262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:39.554797Z digest=sha256:61b8551fab8b54660b5c2f2b67d191ff4efd0c17fcb206aa5afb6363b9ec2140

Observation b52e5acd-91f0-46c2-b130-2e8ffdd13cfb · outbound

This paper cites Hilbert’s 13th Problem and series solutions for the reduced sextic, septic, and octic? MathOver- flow.

Closed Form of a Generalized Sinkhorn Limit Hilbert’s 13th Problem and series solutions for the reduced sextic, septic, and octic? MathOver- flow

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:43.481313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:39.669334Z digest=sha256:e5a703bbc277b2ce2db883a9297608c76fec389f223572780d4e9525932e018b

Observation 4396ab0a-bc0f-454e-91d1-ad6fd6861ddd · outbound

This paper cites Hilbert’s 13th problem and the reduced septic x7 + (x + p)(x + q)(x + r) = 0? Mathematics Stack Exchange.

Closed Form of a Generalized Sinkhorn Limit Hilbert’s 13th problem and the reduced septic x7 + (x + p)(x + q)(x + r) = 0? Mathematics Stack Exchange

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-07T12:10:42.315244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:39.792534Z digest=sha256:fb96505b224f76bda751c0ba4f6f8051f1c1405e2f4b1e3eec946201eaa7a2cc

Observation fead9a8f-5d04-4652-bebf-9406b0ce3060 · outbound

This paper cites Solving the reduced sextic z6 +z2 +az +b = 0 using the two-parameter Kamp´ e de F´ eriet function? Mathematics Stack Exchange.

Closed Form of a Generalized Sinkhorn Limit Solving the reduced sextic z6 +z2 +az +b = 0 using the two-parameter Kamp´ e de F´ eriet function? Mathematics Stack Exchange

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-07T12:10:42.075850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:39.866131Z digest=sha256:f03e6157bbd3c98c997fd5904ba85a37786cbde2bfb373ae97ac04374f1725e6

Observation 4da86902-352a-43e6-97ab-4e6d23695400 · outbound

This paper cites Degree of zero dimensional schemes in projective space.

Closed Form of a Generalized Sinkhorn Limit Degree of zero dimensional schemes in projective space

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-07T12:10:41.820565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:39.937443Z digest=sha256:b148f4219f50bd3bced94fc96a26b3624480c643da980f35a94fdabb3f843cb2

Observation 62e1908a-37a7-4c24-a560-5f16a00ef06e · outbound

This paper cites Telefoonverkeersrekening.

Closed Form of a Generalized Sinkhorn Limit Telefoonverkeersrekening

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:43.295123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.005747Z digest=sha256:c4a2c48fc4d341f97f20d0c8e977fef1e3e165ba209c448cea984eec4aafadad

Observation 9d889571-7b31-409c-b057-8cb7a9358c9d · outbound

This paper cites Alternate minimization and doubly stochastic matrices.

Closed Form of a Generalized Sinkhorn Limit Alternate minimization and doubly stochastic matrices

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:10:41.518760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.076199Z digest=sha256:866109540bb57c8a1b1a7a8d43d46dde11a4efadfde148f84f6f64cc724ad6a0

Observation ba3abab5-0ed1-4fb2-ac68-04471bf9d98b · outbound

This paper cites Discussion on (Generalized) Sinkhorn Limits.

Closed Form of a Generalized Sinkhorn Limit Discussion on (Generalized) Sinkhorn Limits

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:43.115913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.175957Z digest=sha256:c17578cd2e42445ba99d6bc767e7c50b80c16734432936a4855c982ead241e19

Observation fd7abffa-9d44-407b-8c6d-7ee481908ef1 · outbound

This paper cites The entries of the Sinkhorn limit of an $m \times n$ matrix.

Closed Form of a Generalized Sinkhorn Limit The entries of the Sinkhorn limit of an $m \times n$ matrix

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:10:41.359972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.273481Z digest=sha256:380c9d526dd2b3a255cd79a6910d4973a2c3d685614f091662a2b246c64c2bba

Observation 4e40385d-077f-4ead-86ed-45f84696e506 · outbound

This paper cites A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices.

Closed Form of a Generalized Sinkhorn Limit A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:42.962781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.367073Z digest=sha256:b9be9338b557e9b3e7ec5b049c84bc9190c7d69e7d34405f4130e221f563bec3

Observation 4a8526bd-f052-42c6-873f-bd46b53c1b95 · outbound

This paper cites A Relationship between Arbitrary Positive Matrices and Stochastic Matrices.

Closed Form of a Generalized Sinkhorn Limit A Relationship between Arbitrary Positive Matrices and Stochastic Matrices

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T12:10:41.136991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.461780Z digest=sha256:974a29a2f7ca547e25ead1b754a86d13d78e56f199905f8a1b3da5b1fb254293

Observation 668ea08f-8825-4deb-8ce1-18211957d6c7 · outbound

This paper cites Diagonal Equivalence to Matrices with Prescribed Row and Column Sums.

Closed Form of a Generalized Sinkhorn Limit Diagonal Equivalence to Matrices with Prescribed Row and Column Sums

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T12:10:40.942138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.557171Z digest=sha256:87c042f28d709e951d23c30b6de69023f6939a0b37ad5b04c9ded51b0dc1b164

Observation 68566315-c617-4aea-acc6-d7056a84a749 · outbound

This paper cites Concerning nonnegative matrices and doubly stochastic matrices.

Closed Form of a Generalized Sinkhorn Limit Concerning nonnegative matrices and doubly stochastic matrices

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:42.760713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.658985Z digest=sha256:ed9150ffe6557d28144643858e1fb8c2ae25efbefff7958bd9149488fc9d1eba

Observation b5b87871-f1dc-44fa-9aa0-5d8f74ba24bb · outbound

This paper cites Degree of a Segre variety (without Hilbert polynomial).

Closed Form of a Generalized Sinkhorn Limit Degree of a Segre variety (without Hilbert polynomial)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:10:42.527975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:10:40.746426Z digest=sha256:a62f51d66572a2d900e8b06ded82e97d00c98eef797a8575cb20f1a370dd1b10

Pith citing papers

No inbound Pith citation observations are available.