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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.078394Z digest=sha256:f5c7373e7ee0c1187a7630f614afc881267d6123c49c214bdd69e5c201703942

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.119216Z digest=sha256:e2f1c2b02c1585e4dc820801760435500a6ffded6d14b684406d7729b3155663

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.216415Z digest=sha256:d209cd879be1800aa1702d205a5edc9a7e862d7f29d52716d1b2715dfffb4ef1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.280448Z digest=sha256:0ec49b817aadc8bce1d63f0441f517e7da408707f034cad52d7b7f384701f568

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.367853Z digest=sha256:1fddfc006a0a14af732eba25bb791ba85c76f00215d6ae1127498c0d27e1432d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.412086Z digest=sha256:c17a77a25188b1dc57929748bdaa13ff2fab128162562f81b94adfe116c29aad

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.464875Z digest=sha256:b44865efb7daa91ef04f9b6832f150a1d92aa6289b6a502dda0f1f932b978d2e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.536302Z digest=sha256:ba15af10aabe9e3c00dbb9071643b3c5692ffe4208d2e0bc6e54551ae8ef7a41

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.580775Z digest=sha256:9bc2948b3b12c1e117152668919a5e3b25ee5ad09d98cdde9498b7011389f359

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.650964Z digest=sha256:c97b2b58026a0e6806ccd2f9359141e40c56dd4a4c70c678503af4966bba8163

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.701244Z digest=sha256:64a2da1db6556c782a9eeba98671291102135c8cac6ae67e294df28e5c94bccb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.751829Z digest=sha256:3ec22d5d3cbf50a150e698d3ebe4b8c9d02acb9b173ff7c06fdaf0cddb2b79ca

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.788837Z digest=sha256:fab0c574acf11bd6bbf9717d9f4f43c56a7ec1d3ff0b4798828c2388de3ee3fa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.850852Z digest=sha256:6680b643b3b42d7c5e7b30beab278ee655ce516f3fc39265f963611dc2a5e294

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.927293Z digest=sha256:94a38224ff918170d7bfb788d9fc9dae6496d27516f83c770c27c6fda716b6bb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.965953Z digest=sha256:7d0c43ca1078d83891c32cf205bbe92d5dc921a457e4fb07b3f05a3171928e80

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.058913Z digest=sha256:c5cf41f8b4284d793bf8cf246dc239f819b974ccbdc90152180c204b432c8dd4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.124534Z digest=sha256:656bb7c58b6ac4b3d23a40899e920ea3693cf3ffe2d19b86deeffda23eb79321

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.158004Z digest=sha256:c1650aa294b8ecdfbb3439e4c5845654f3141c278add0e2c35f20c1cd8f27824

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.216384Z digest=sha256:3d71885d26dc6507879692bbc039fa7f13097012edd966c03e2397e238d258f4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.289151Z digest=sha256:f6fb257b41f71ab55b82facaff063dc0d9cf920d9297b794476603f80e93ee58

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.342941Z digest=sha256:22968684047331c8c02cf1a28ec4dbb4646104e2607b85e1ea5dd523c2bf69f6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.399548Z digest=sha256:430f69599f285f24348b2339dd33e2d670773e084e747fed37dfa10a838e6a63

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.472403Z digest=sha256:1ec73b9d41b239b903398f85e477d09c5f2526d7c4cc8bad44c76a844d29b062

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.517579Z digest=sha256:c7a7edc6601a858958ede77c8df61f477616279c6edda6a5dd62b89a53176a1b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.559204Z digest=sha256:e71231640d84078baa945c704b654d8d7ee5d7ee907425581e33910328ab5492

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.641539Z digest=sha256:7c2681b810a8cbc08e6eb6b7181e62f5598657480b81724af9d0d9382716eea5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.705738Z digest=sha256:a7efd5d2e34b01234986267d6276b1b47fc50d9be17dedb1531f971757d9d636

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.772937Z digest=sha256:9ce9a287358d3f4b3f6513cfaa132655283284ab4a5a8037dc825c4211b54c92

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.863717Z digest=sha256:378972ce7477867fcf14a2bc39706a34e641cbe3a10722b5fca2a7ee4ad5cb96

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.907507Z digest=sha256:7ee13cdb02f9cd479be078e76914d7d8d1d4a76c9f5665eecad15ddcc729810f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:20.999141Z digest=sha256:bcf6da90b23fe022a08dcd5a99088ab40bd34e6f7fb6f039f77ff617a761b4cc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:21.056424Z digest=sha256:4e79cedd44a19b74ae42e58719e2b3afcee5c2af2a5df01b73704c1579d19150

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:21.112883Z digest=sha256:b81d98f91c02aac7484f70a676883eb234f527eee4c0a2fbcf65fafeac844d24

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:26:19.998418Z digest=sha256:e6198b2954ba9635c29c9fd3cb13893c0504574e723413a53b1440de6e8bc12a

Pith citing papers

No inbound Pith citation observations are available.