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Paper Citation Record · LEDGER

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2501.13038.

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

pith.paper-citation-record.v1
2501.13038 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:42:00.244546Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e8d1545-a7c2-4191-a49d-a934ef7c7e18 · outbound

This paper cites Arimoto, An algorithm for computing the capacity of arbitrary discrete memoryless chan- nels, IEEE Trans.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Arimoto, An algorithm for computing the capacity of arbitrary discrete memoryless chan- nels, IEEE Trans

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.836741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 268ac80c-5476-4997-9ccd-dd61f2752038 · outbound

This paper cites A vigad and V.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees A vigad and V

Reference 2

Resolution
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raw_fallback, observed 2026-08-10T16:42:00.821298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 660c9c47-197e-491f-96d4-ccd50e213a0a · outbound

This paper cites Beck and L.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Beck and L

Reference 3

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raw_fallback, observed 2026-08-10T16:42:00.804339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4ea7e0d7-59e8-441e-a91a-4bddcd557516 · outbound

This paper cites Ben-Tal and A.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Ben-Tal and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.789489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.092626Z digest=sha256:d75956fa5d4ab8b5f22637100bc013f316fa03e6c1fa2c624fc43749ec2f66ef

Observation eeda8483-54cb-4b54-8349-5d732bc01143 · outbound

This paper cites Benidis, Y.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Benidis, Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.774158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.098737Z digest=sha256:2b814fc0766eb4e044acf0129f2055bd6b2278de42df200740781f5f42bc84ed

Observation 0c048224-45fb-4fc2-97dd-d565d5d462c7 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.758416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.104539Z digest=sha256:29e1ed4a4e7c73dbf18a61586f644f3404aec6ec65059a62711663ba9b269b68

Observation 291e38fa-e9b1-4782-aa56-c523f68ff70f · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.741496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.112204Z digest=sha256:e48a2655a79d60c28eee360d801be4331cbfe0693f8a0d9bc03dd118bf43ad54

Observation 90d07bfc-3e4f-43ba-91b7-ff8379133a90 · outbound

This paper cites Boche, R.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Boche, R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.725230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.117745Z digest=sha256:74e2e62810bd06898c34f62399731b60f4382e99c4781296449f505059139e2f

Observation 6613ccc2-a4aa-4a79-a5ed-b4ff6d697f08 · outbound

This paper cites Boyd and L.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Boyd and L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.709418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.123496Z digest=sha256:19fe12c06afa2be85e0847ace72bc245f111116fbb532319e977b6072ba22840

Observation 2a99262e-02ab-46d7-aee4-2036acbb1ecd · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.693250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 53f3690a-3765-48fb-a5bd-16b5dde30e01 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 11

Resolution
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raw_fallback, observed 2026-08-10T16:42:00.676589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.134377Z digest=sha256:aaab3f1b21f4f7e9bdee475e680b870099a62a94b471445a3705f68aa950d016

Observation c4f12eb9-a028-4d4f-ae01-471d5ce8dbbf · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.661515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.139333Z digest=sha256:2b0db401a68b9f806e43280c4306fb10ee4c34ae6b2ae1f4f8946ee2353ca799

Observation 5e809389-38b1-4daa-9326-50ad419bb90f · outbound

This paper cites Csisz ´ar, On the computation of rate-distortion functions , IEEE Trans.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Csisz ´ar, On the computation of rate-distortion functions , IEEE Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.645465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.145227Z digest=sha256:a83ee00a2a374ef266c2ec1a8ccca781b806a3b28a62d6826e8c1273a6b1b837

Observation 583a1c0d-4739-4df3-a2cb-78304c60711e · outbound

This paper cites De Santis, S.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees De Santis, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.628597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.150126Z digest=sha256:7bab5f48d1e4f3495c21d7e2ef3f301c1c45a44214c2b52a5c8bc3621f51ea8e

Observation 4c27cc00-0cda-4c7b-8bab-d56e0cb7a7b7 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.610951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.154943Z digest=sha256:bc547429b90a1f81e0d34b0cea5e9c4bada8fdeef49bc8f8d182a29d2eba995e

Observation d912ae09-168c-4d44-aca3-9676c0b9cc15 · outbound

This paper cites Grippo and M.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Grippo and M

Reference 16

Resolution
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raw_fallback, observed 2026-08-10T16:42:00.592756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.159846Z digest=sha256:00ed54015dfd72d116a0e461add74350cf2c9b44e9994f0db7dce0d65c03d1c7

Observation 2531a8f7-fcd8-4865-9587-a2aeeb31e60f · outbound

This paper cites Ko, Complexity Theory of Real Functions , Birkh¨ auser, Basel, 1991.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Ko, Complexity Theory of Real Functions , Birkh¨ auser, Basel, 1991

Reference 17

Resolution
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raw_fallback, observed 2026-08-10T16:42:00.574371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6a3abfb4-a407-4737-b1cd-16caf1e4893f · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 18

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raw_fallback, observed 2026-08-10T16:42:00.556487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d3d9df25-57d2-4c64-b1d8-ef13453a551b · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 19

Resolution
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raw_fallback, observed 2026-08-10T16:42:00.538649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 688221f7-124d-47af-8cb6-1e0187e32174 · outbound

This paper cites A Survey of Recent Advances in Optimization Methods for Wireless Communications.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees A Survey of Recent Advances in Optimization Methods for Wireless Communications

Reference 20

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unresolved
no resolver link, observed 2026-08-10T16:42:00.180158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:42:00.180158Z digest=sha256:b56bf95ce768505ac6507acc17d84616559c3197563122e6da307721e797d6c2

Observation 7684c94d-ccd0-45ea-b86a-bf171807ba21 · outbound

This paper cites Nesterov, Efficiency of coordinate descent methods on huge-scale optimization problems, SIAM J.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Nesterov, Efficiency of coordinate descent methods on huge-scale optimization problems, SIAM J

Reference 21

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raw_fallback, observed 2026-08-10T16:42:00.510773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c7b72ddb-a128-4f5c-9eca-371d1eb606a4 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 22

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raw_fallback, observed 2026-08-10T16:42:00.491674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 63290f58-c2da-4e17-92c0-1e7af6e352cc · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 23

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raw_fallback, observed 2026-08-10T16:42:00.472757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0135d1c5-9212-4b1b-a0ca-8a9c5d5a35f8 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 24

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raw_fallback, observed 2026-08-10T16:42:00.454818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 93196514-af24-452f-8afa-4db7258d6ec2 · outbound

This paper cites Razaviyayn, M.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Razaviyayn, M

Reference 25

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unresolved
no resolver link, observed 2026-08-10T16:42:00.205799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:42:00.205799Z digest=sha256:fce3f1d9cb690bd1ee1885ed2e1d80d2f5a7dc3cbcfe0ebb9b725664e01aa477

Observation 59195f30-f985-4909-ba39-38eacd1c6329 · outbound

This paper cites Specker, Der Satz vom Maximum in der rekursiven Analysis , in Ernst Specker Selecta, G.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Specker, Der Satz vom Maximum in der rekursiven Analysis , in Ernst Specker Selecta, G

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.423897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.211716Z digest=sha256:a226525c203e718e0e617b6af375fb561891c30210bf8efd33654d3ca0e4a6ff

Observation c87c015f-01d8-418f-95c4-88816beb1500 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:42:00.404147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.217342Z digest=sha256:91f80cce8f807216dbba413c91ddcb56fd3b94aedc5dc42e36b4f517b44b0251

Observation de51d023-32db-4363-842c-bca5f09fdc84 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 28

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unresolved
raw_fallback, observed 2026-08-10T16:42:00.382997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.222407Z digest=sha256:4c8b352cddbb5e64419ebd100cc38522f9056187d6850a8df14f269d0891aa28

Observation ae253b6f-41f2-4871-9d79-6309a5707cc7 · outbound

This paper cites Weihrauch, Computable Analysis, Springer-Verlag, Berlin, 2000.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Weihrauch, Computable Analysis, Springer-Verlag, Berlin, 2000

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.363065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.227422Z digest=sha256:19aea7f9b361aa27b4c707c2377bacb0c8967ed8ac85f6b4cdd9e2339552f057

Observation 8fe26c50-a4bb-4491-936c-ec13c647da17 · outbound

This paper cites an unresolved cited work.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-10T16:42:00.344233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.233756Z digest=sha256:697fde17747f54cfc382608d25d861e1dd39fa5a341c018b3cc6a95c3d7f2a27

Observation 48f95309-051a-459f-a677-fdf074d37be1 · outbound

This paper cites Xu , Hybrid Jacobian and Gauss–Seidel proximal block coordinate update methods for linearly constrained convex programming, SIAM J.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Xu , Hybrid Jacobian and Gauss–Seidel proximal block coordinate update methods for linearly constrained convex programming, SIAM J

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.324630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T16:42:00.239518Z digest=sha256:962ca864048f46fa3d02e6c4207a2cc3ae22ffc1024d7b163d9b006a9d553bdb

Observation 3ea3a22b-938b-410b-8c4a-b20ed3e2bc16 · outbound

This paper cites Xu and W.

Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees Xu and W

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:42:00.303564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.