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Paper Citation Record · LEDGER

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.08035.

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

pith.paper-citation-record.v1
2506.08035 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:26:21.112883Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 266609b7-c942-45dd-9945-085ebfc0c0a6 · outbound

This paper cites Balakrishnan, I.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Balakrishnan, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.953022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.078394Z digest=sha256:f70930298399d31a29ca899c57dc535d579827687d3b510906e85965361741d5

Observation 806fd015-a070-48a2-9ebd-a279d327fce8 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.638265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.119216Z digest=sha256:83f32de19385ce2893c64c8727f8577f5d4c3221a8dd0350ae866c8ebb9f04a1

Observation 2e09d788-5773-48c1-bd4b-857e301eda26 · outbound

This paper cites Benamou, G.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Benamou, G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.390352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.216415Z digest=sha256:6b7f8427527c3c3aeee5db02074cda5922118103a62b6b6363ca788358061013

Observation 08318ee2-7a40-4a96-a720-c4f23876e714 · outbound

This paper cites Birkhoff.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Birkhoff

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.355123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.280448Z digest=sha256:4e40ce56d9b28531ff9575e7b8faf08df4a3a0ec12d1ea9bee167a0576261635

Observation 5a6f8aa5-0b01-4511-8f5f-874930dde69e · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.344405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.367853Z digest=sha256:3d77179558913a1a7669b2d52412509125f9e8d9d498977da642da4bd8f2644c

Observation 10d34b05-a50b-4926-a43f-59368caca692 · outbound

This paper cites Csisz´ ar.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Csisz´ ar

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.332885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.412086Z digest=sha256:4049211f2e573c29bf575661e362f9b354b3330390704cf8f725c9f38438fa30

Observation 8431d15e-ea4e-440b-9a87-af6068b19901 · outbound

This paper cites Deming and F.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Deming and F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.322330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.464875Z digest=sha256:e52b6a3651f11f30d0d3e3d8a6e93a6ebc6f02eb9d0a0d3e21063ceb52706b27

Observation d784cda2-a434-486f-b3fd-aff9a135d132 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.312456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.536302Z digest=sha256:aae61da1588d4f900de1f0a3cce7c84fad26ff74d532979f391c708c002bcc28

Observation b95fddab-5c1b-4d99-84c1-254ba5834a1a · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.302542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.580775Z digest=sha256:673f845f27033ead498d00c71c3be0411fbc949c7e2ad4a65187daf9f00f015e

Observation 19a8025e-e37c-45a7-b0c5-520dfd0441fc · outbound

This paper cites Franklin and J.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Franklin and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.293344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.650964Z digest=sha256:66b3fd33344e0f7f5a8b4c7f257735adfc1b45a7fcf7c4785baa0e8a4e686a60

Observation bc1710d1-814d-48b7-9798-b902d9d8842d · outbound

This paper cites On Schrodinger's bridge problem.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling On Schrodinger's bridge problem

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:26:21.342511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.701244Z digest=sha256:8d1d26e2f897b6120d22fb9b44fb33547568c9bc79d14d555ac74d0df2394761

Observation a3baa954-85c5-4bc6-b3fd-c5a36b7d700e · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.283641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.751829Z digest=sha256:207c91b241ef1ba0414e9e5a720b677de4eac7160c0584d24426642838401083

Observation 27d39cc8-40a5-48af-9ba6-3fb51232e44b · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.272238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.788837Z digest=sha256:a435f4e70a34405b9978e5849dba2683be8a148430c2ea65004043c77e2c306c

Observation edace6a5-15d8-43e5-9201-8214fcca9f12 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.261328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.850852Z digest=sha256:f92b499614cdc1973df10f2cffee68e5f59441e2452de89f04f060704cedd811

Observation eac3e42d-3531-4395-b025-25c84dd1672b · outbound

This paper cites Ireland and S.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Ireland and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.250539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.927293Z digest=sha256:470217e50c4ba6ed4aecd88df798bf863c1126978d638f1151a08bb072142e98

Observation adbff801-9d3f-4261-b052-c665e283f7b9 · outbound

This paper cites Ivanyos, Y.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Ivanyos, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.238557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.965953Z digest=sha256:e12788e9e3749eadd090bb73eb32a1b24690865b0c5e2fc2c0e8c49694ea971e

Observation c0ed8b13-0e38-43af-af1b-45f29f0bc372 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:23.227113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.058913Z digest=sha256:8acc997b81885c933aa27b39662176b1d18bba45a75f6ed9ac8098c76cbcffbf

Observation ecef9732-040b-4084-9dd6-f52f6fa8be23 · outbound

This paper cites Kalantari.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Kalantari

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.216187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.124534Z digest=sha256:3f8eddaf3495e5a828f1a5400f0d44d4bd92e7a781771ed61c738ae0af04e570

Observation a8876561-ce2a-44d5-b539-8f1e54e8285e · outbound

This paper cites Kalantari.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Kalantari

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.205348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.158004Z digest=sha256:8f2a0055966283b5b39e6f6aca6128259cb442fa4ffeb848da76918c86d4fd62

Observation 441c5bdf-b388-4ff7-858c-a2d69adbc33a · outbound

This paper cites Kalantari and L.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Kalantari and L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.137900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.216384Z digest=sha256:fecba55feb245925cd44e359d0d4253b15cc95060864baf4744f2e491e8ccc04

Observation 23867a47-3737-4489-b10a-839e72f8442c · outbound

This paper cites Knopp and R.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Knopp and R

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:23.007766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.289151Z digest=sha256:2281ac7c3b9ed90465c2ba29814a4d13318630f03cdc91e107ce7f593a44ed84

Observation 71510a5b-94b8-45ca-af64-55f9831ceb16 · outbound

This paper cites Kruithof.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Kruithof

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:22.870189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.342941Z digest=sha256:986d97fdc4da3e43280a1f99759dc8852443be167d27fef0ec96d6f7ab62e65d

Observation d71fe1d8-6381-44ef-ab39-08abc570067c · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:22.693153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.399548Z digest=sha256:1b744165d9e06091a0e9d57b76bcda3b53c53af5df9b0e3fc419b9dd20ab7fce

Observation 299f71e5-75e2-4f96-a6ee-137f3d4894fa · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:22.534940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.472403Z digest=sha256:ea5c007865603ef05aef0c6e38f3c8bec83322255be07b5382c9bf8eba298a97

Observation b05d64fb-2307-40db-a57f-ad78e9be280d · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:22.373715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.517579Z digest=sha256:4ac117dd2079a8274f3f17d1c20e09258b86a695eb9814f4339aa470f1d96c64

Observation eefd6110-7e82-4582-b404-61638c736935 · outbound

This paper cites Pukelsheim and B.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Pukelsheim and B

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:22.278698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.559204Z digest=sha256:383740940699296d0d2aa2c152f3b3eda9c940c6526a65d8e782e2ff5ed868c5

Observation e159589b-0a3a-4d1b-bc8c-39831b941264 · outbound

This paper cites Raghavan.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Raghavan

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:22.152250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.641539Z digest=sha256:d60a694e3bd9fdde9a0fc46be438f551af168bbed093944830f0c95fa024a10d

Observation 61c7965f-3213-44cb-9aa9-c617e9bd9e44 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:22.034317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.705738Z digest=sha256:dfb2353f8ae430178837fc6ab60fd311f6403244dd8e877d7876bc7d58aaf2d6

Observation 80414a6f-352b-4177-92ad-40ed3cc498d3 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:21.924894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.772937Z digest=sha256:8af8b89c684b8f6d125366ea03608e518edb50682dfa5153d8f2cbf69c9b0a6f

Observation 62899c48-9fb9-4672-b0ed-f55e7b4c8c24 · outbound

This paper cites Schr¨ odinger.Sonderausgabe a.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Schr¨ odinger.Sonderausgabe a

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:21.851445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.863717Z digest=sha256:e17f9961ea005b450d0c0aa3468eaba543da0a10353bda94e4fe25751d861b98

Observation 72eb03c2-88a3-45c9-90df-56ad848e8796 · outbound

This paper cites Sinkhorn.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Sinkhorn

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:21.724505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.907507Z digest=sha256:0bae383a8e126a64816f03a1242a0b06d588ab60de5aa4d2b29adf99ca744956

Observation 3b87c159-9abb-4bf6-a082-d206cc41fa85 · outbound

This paper cites Sinkhorn and P.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Sinkhorn and P

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:21.642850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:20.999141Z digest=sha256:3e09aac3ff281e8903977d00a38e8b8a7e3199d17a52a2f60e7a190da289ca7f

Observation d132ebca-d5c6-42fd-9418-9280f30e7bbd · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:21.542948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:21.056424Z digest=sha256:2ebf0722a104af327d528873c426a075c153b2e30cf93fa89e9dc3ff7947cc91

Observation ebfc8a5a-5e9b-47a1-b703-58b895f4fe85 · outbound

This paper cites an unresolved cited work.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:21.449221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:21.112883Z digest=sha256:4982f19f2619538902b3fab188d42d25e4107b75c5836bdf3744f345ebcc3286

Observation ccb4cc6c-985c-48f0-87e7-6b381cd33b68 · outbound

This paper cites Non-commutative Edmonds' problem and matrix semi-invariants.

From Local Updates to Global Balance: A Framework for Distributed Matrix Scaling Non-commutative Edmonds' problem and matrix semi-invariants

Reference 2015

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:26:21.237292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T11:26:19.998418Z digest=sha256:3524f8ca99f06ee4e7549f107bb0b05d93e1489843e471a78d4bb751c09c6879

Pith citing papers

No inbound Pith citation observations are available.