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Paper Citation Record · LEDGER

Kahan's Automatic Step-Size Control for Unconstrained Optimization

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2508.06002.

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

pith.paper-citation-record.v1
2508.06002 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:05:49.728294Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8caaf3d1-6257-4a38-b50c-a1fee22f14b1 · outbound

This paper cites Barzilai and J.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Barzilai and J

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T23:05:49.634616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:05:49.634616Z digest=sha256:efcb2490f27e478aa9821f8e1ea519f33bfd2343fff65f523a88ba41e3a1a2d3

Observation e7fb0169-56cb-49d5-b57e-e152ea79b96c · outbound

This paper cites Burdakov, Y.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Burdakov, Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:50.068294Z

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=arxiv_source observed=2026-08-05T23:05:49.641138Z digest=sha256:8febcaff7b379f6c1cfae9843db0731130bc33a46cf30178da02f6257e4e7969

Observation eb733bcd-76f0-44f8-8c8d-7b9e17eed02e · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:50.050921Z

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=arxiv_source observed=2026-08-05T23:05:49.646434Z digest=sha256:38600447b12ae3b04b0a9b02842bdb282e982f130e7f1e18c5d7fa330621ea44

Observation 80ab5279-8480-4ea5-8720-3333183fbb9a · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:50.032725Z

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=arxiv_source observed=2026-08-05T23:05:49.651292Z digest=sha256:8b770571b78b0238bfdf8e95a6ebbfb180d7c51022bf370b7984203fcf2b759e

Observation 62dbee64-0701-4f8c-8c5c-dd19b789c21c · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:50.014232Z

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=arxiv_source observed=2026-08-05T23:05:49.656470Z digest=sha256:aa7c1fda764d552fb3be6d6c2fc0cdeae3cab909f78099885522ea8f270e1fbc

Observation 19206c4c-bc89-4950-863d-04a2e0ab3eeb · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:49.998216Z

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=arxiv_source observed=2026-08-05T23:05:49.664700Z digest=sha256:3956d11771262a1d178580e0f97a8c413951c03c00a6e3bf2d8ece4a46daf78f

Observation 13efbb7b-341c-44dd-979d-67362adbd3d4 · outbound

This paper cites Fletcher, Optimization and control with applications, Springer, Boston, MA, 2005, chapter On the Barzilai-Borwein method, 235--256.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Fletcher, Optimization and control with applications, Springer, Boston, MA, 2005, chapter On the Barzilai-Borwein method, 235--256

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.979923Z

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=arxiv_source observed=2026-08-05T23:05:49.670612Z digest=sha256:4555cf5b5febeb558de8b7c32286dd82badc2fa49c163917d965c9baa4455823

Observation 691df568-e7fb-4de5-b417-b0ee92abe871 · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:49.962738Z

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=arxiv_source observed=2026-08-05T23:05:49.675655Z digest=sha256:42a1a7c966b3a8536488f4647744e64caa251d083eb9d0b230777db2ee60cfbd

Observation 36ca0439-b19c-4d54-815e-0e1ce83fee2e · outbound

This paper cites Grippo, F.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Grippo, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.947170Z

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=arxiv_source observed=2026-08-05T23:05:49.681527Z digest=sha256:88e03a5c3fbf05e1d8b0bfe89c1c155ab906d83f15dfe68fd663da5a1ad59909

Observation a7d402ca-f80e-4d9f-a8a8-1b776b6422b9 · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:49.931714Z

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=arxiv_source observed=2026-08-05T23:05:49.687105Z digest=sha256:57c5315a83b40c8ac74c56d9af9ee5212b81c0ea8b1443abd63f54dd78b9e351

Observation 8fae27d4-988c-4c7f-8e18-aab678097eca · outbound

This paper cites Kahan, Automatic Step-Size Control for Minimization Iterations, Technical report, University of California, Berkeley CA, USA, 2019, ://people.eecs.berkeley.edu/ wkahan/26Sept19.pdf.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Kahan, Automatic Step-Size Control for Minimization Iterations, Technical report, University of California, Berkeley CA, USA, 2019, ://people.eecs.berkeley.edu/ wkahan/26Sept19.pdf

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.914143Z

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=arxiv_source observed=2026-08-05T23:05:49.693036Z digest=sha256:06b93d40a486159fba8982daea839be809ce4b7779c8f4c9f5c3aa29e3f70002

Observation bd54e337-9a8c-46b7-bac6-9f2e28494e23 · outbound

This paper cites an unresolved cited work.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:05:49.892657Z

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=arxiv_source observed=2026-08-05T23:05:49.698162Z digest=sha256:f4c359d52bcde74a0c7b3eba26e76d497c35079b230949394fee149d6edfeace

Observation c176c4d3-9315-4cbc-989e-0e2ed18df4b5 · outbound

This paper cites Adaptive proximal algorithms for convex optimization under local Lipschitz continuity of the gradient.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Adaptive proximal algorithms for convex optimization under local Lipschitz continuity of the gradient

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T23:05:49.702787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:05:49.702787Z digest=sha256:0fafa319415510bd7e9c9b63c7c0354bae966ca092bc9b4b69da416c618514d7

Observation d95ee07a-8597-4938-8fa8-b231a0388f72 · outbound

This paper cites On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method.

Kahan's Automatic Step-Size Control for Unconstrained Optimization On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:05:49.790359Z

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=arxiv_source observed=2026-08-05T23:05:49.707791Z digest=sha256:d41b3758f98c1845e0cd256d3fa82b623a23a4430ac2d819937e96ff36b5ee39

Observation 60e7a1f0-2f9a-486c-8004-f87f5c685439 · outbound

This paper cites Malitsky and K.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Malitsky and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.873898Z

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=arxiv_source observed=2026-08-05T23:05:49.712502Z digest=sha256:02d319a554a6f4b0d7814957a18c3d2aab5c461db15f982ceda542b027c7f9d3

Observation 0586b53d-f864-4171-be07-688d1b84e47d · outbound

This paper cites Nocedal and S.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Nocedal and S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.858502Z

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=arxiv_source observed=2026-08-05T23:05:49.717859Z digest=sha256:bd381ec097a14c10d1c875113220008ce096bf3ef3a614e40afed435291c9b0e

Observation b8edd7eb-8eb2-4079-9721-7226adaa8154 · outbound

This paper cites Raydan, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Raydan, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.843167Z

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=arxiv_source observed=2026-08-05T23:05:49.722684Z digest=sha256:a2270405cfc8d5930c8917ab055da36a02d7e3cd3078a191268c31bfa0b31c6e

Observation 3a0ac622-7352-4f0a-94db-be6b8231e02d · outbound

This paper cites Raydan, The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem, SIAM J.

Kahan's Automatic Step-Size Control for Unconstrained Optimization Raydan, The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem, SIAM J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:05:49.828363Z

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=arxiv_source observed=2026-08-05T23:05:49.728294Z digest=sha256:e26aee0b984becf4bb9fd1baf1b843279df7d8e85560c494d9fabaa50f20cfe2

Pith citing papers

No inbound Pith citation observations are available.