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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:39.554797Z digest=sha256:d244111d9fff9d5ff28405213e38bada7fc8d6045c2c2324f6a5fbd7faa2628a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:39.669334Z digest=sha256:5653cf13b3aaba8cbb1341fcaf0a2f60de03d83f734b5dd944f083bda71cd403

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:39.792534Z digest=sha256:d898cc8a07de7cddbfcb1228bd3e41654f147006cb8db39248bca2c642780f81

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:39.866131Z digest=sha256:90bb7fbb2033415161575d4317ec82a421d7ddec2ac46a984ede1e37d9283b8a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:39.937443Z digest=sha256:be8e1de39a170d25478b3baba06875410bf980a8ee0365aaf7693e4e791ec42f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.005747Z digest=sha256:848eddf65a008a3dc824234f79b37b6edc9dd10b76bcc8e7512827dd1f649ab7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.076199Z digest=sha256:9a7ce7fe13933128da387a9c26f9e902cc216a48dfbf82969367c92c0241b334

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.175957Z digest=sha256:ef5e94ad991ea7cbaaff9f6effb6d58177adf848a6d4c6117f9537d7b2e30bff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.273481Z digest=sha256:c6346da3c2be76745ea03ca2205a65f3a3546b1dc391095f27e88a30c43d2d69

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.367073Z digest=sha256:745309f315172d4012e6582f90f7740f4dc0bf3406be324ab26f87a890ac4176

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.461780Z digest=sha256:0816aae2336884ed37f752628d8ba34d201dcc0406b2d87a2f7cd17860ee165e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.557171Z digest=sha256:b34830867a3b76da19ec02fa34107258b7bea340d735be30bbb0290fb342b349

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.658985Z digest=sha256:6abfd20f0c0b60e3e6b61f209cae8ede5fd6a4bf91fdb687a959bc0a15cfd33e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:10:40.746426Z digest=sha256:a7217a4fb51dc50fe3029b27530a8996dde7a9a2c6790aaa493f918f718a44cd

Pith citing papers

No inbound Pith citation observations are available.