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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 2026-08-08T06:32:00.761636+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

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

source=arxiv_source observed=2026-08-05T23:05:49.641138Z digest=sha256:576a55f80a8c9d65cd67c52a995818339246976dee5cbe886093315489f18eb5

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

source=arxiv_source observed=2026-08-05T23:05:49.646434Z digest=sha256:1e8d2fc09c4d4d53ec834cc85cfbdcff6388d680ded5f7e5720805164a8eeb2b

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

source=arxiv_source observed=2026-08-05T23:05:49.651292Z digest=sha256:755bac703c91c9fd8d359558130caafbec94c789164ac68fc50c678462c5914b

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

source=arxiv_source observed=2026-08-05T23:05:49.656470Z digest=sha256:f5abe73e6c39848d88ef59878072e4e54b3b89a9c0fb4645e12ad6e5ba927039

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

source=arxiv_source observed=2026-08-05T23:05:49.664700Z digest=sha256:980698a6332072d8c208247d72fce0a268dd142df4742cb7e3a56f815516f344

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

source=arxiv_source observed=2026-08-05T23:05:49.670612Z digest=sha256:47e6f67be12643fa12930917b60e111b48ac09470c758fdbf3f098f58cc6ab9b

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

source=arxiv_source observed=2026-08-05T23:05:49.675655Z digest=sha256:467bfd6fae29c8a0994f2ee51bcb72cea31c2e54ae1eeef5244e9f40dfe8681b

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

source=arxiv_source observed=2026-08-05T23:05:49.681527Z digest=sha256:b31f811896d8386cc7ae84183595319e3733783bb7654e32b23e6a7353e14841

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

source=arxiv_source observed=2026-08-05T23:05:49.687105Z digest=sha256:631b71a255b019a59f5e5558c53903bda9617db38a4b8a4b489906f355c5e949

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

source=arxiv_source observed=2026-08-05T23:05:49.693036Z digest=sha256:e20ada353ebd72a562c335eea1a8ce38d1cb14630e6ff6a64372020604608b1a

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

source=arxiv_source observed=2026-08-05T23:05:49.698162Z digest=sha256:a8752257745b3920f2db7975c43de7346e4dbe9ffa47ffcb2f2d525ef7fd17d2

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:b5d6c20b63693f309a99a59830342d420604a65c740b78fc41ddb45dd89d0964

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

source=arxiv_source observed=2026-08-05T23:05:49.707791Z digest=sha256:b977323fb96e02a0f2c79380ebffd5b8c1c1b645baf30bb91f27d2ff47266902

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

source=arxiv_source observed=2026-08-05T23:05:49.712502Z digest=sha256:f8dca7c150acd38a89a7725ee7af96a4ee48d21b7cde56513240e568ad90136d

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

source=arxiv_source observed=2026-08-05T23:05:49.717859Z digest=sha256:1db4e9e2c09f1e11b12ba31308aa607aac8d1621eef92a4792c122760f9cea4e

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

source=arxiv_source observed=2026-08-05T23:05:49.722684Z digest=sha256:865824629cc77fb62be5c757c6107e63846b28aabc759e5439ffa71af74e7448

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

source=arxiv_source observed=2026-08-05T23:05:49.728294Z digest=sha256:92b14afadc0225fa53e60539323a387142f93d7e1af632aae645a71bf2eba899

Pith citing papers

No inbound Pith citation observations are available.