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Paper Citation Record · LEDGER

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces

As of 17 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.07839.

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

pith.paper-citation-record.v1
2608.07839 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T01:00:08.455722Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

23 of 23 outbound references displayed

  • verified exact13
  • verified fuzzy0
  • unresolved7
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4289cd3-cc50-40cb-85da-08418517c9e9 · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.777149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.341720Z digest=sha256:7d7be2ae6731c34a01471785e447887113f691da5c49adb7e899c97514370a24

Observation 96996e01-7978-471b-aa13-8a27cc2c14b7 · outbound

This paper cites Azmi and K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Azmi and K

Reference 2

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.761144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.347907Z digest=sha256:00663dce20490d5f08bb2bdcc49b1c520cc9b491d14f32d8d899d4c49aac16b3

Observation adc0f1ed-a0b5-4808-9f20-b579066524bd · outbound

This paper cites Azmi and K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Azmi and K

Reference 3

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.744564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.353153Z digest=sha256:e0061490a998a3252c80251b15a5fee8d61b742e241a19db4677a168dcc9c569

Observation 94ed4a50-5231-48ee-b5fa-0df50ae620ce · outbound

This paper cites Barzilai and J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Barzilai and J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.358194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.358194Z digest=sha256:47a536dc349d81504f91a4c6160d68d421f2a1c41f33b64cabef225f9214dfa9

Observation 67f8616c-2f29-4d2e-b276-ea28a7adc45b · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T01:00:08.810329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.363375Z digest=sha256:cd54993e9e2e3b3baee41b0294670f66ed5f6e4db02693add3f7e0d43d2b686a

Observation 75d1a0d3-74f7-4f2a-a1a5-5dba9221693e · outbound

This paper cites Dai and R.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Dai and R

Reference 6

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T01:00:08.794257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.368290Z digest=sha256:4d1561b127a79a0c1520b45a6198ec45cce0f9277aba4052ab91232a27b23239

Observation e41b0736-8443-4f8e-97de-156e44a83e6a · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.718981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.373591Z digest=sha256:9e8e4cf75d54e432488e6bbb72db11cff217b1541982e0a5122a8bbaadc030e6

Observation 4520a477-b357-4942-9a00-4e74358d6e04 · outbound

This paper cites Fletcher.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Fletcher

Reference 9

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.693163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.382871Z digest=sha256:fb9fe8cbaf33e8d23e956dcbdb6b9c0d67266c2aa74e4908e549851f5127c43c

Observation 4b75468f-cad8-4707-ad09-97191b3416dd · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.676413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.387396Z digest=sha256:6581aa64780eeab80b2a0a415fa896492c559c8e14ab39e85efa9227b6a5dd4b

Observation 412bb95f-1b70-4abc-b3dd-7391d4fb7584 · outbound

This paper cites Friedlander, J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Friedlander, J

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.391867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.391867Z digest=sha256:00961d0843cec30bb98ed65e9a1381fee47ae4365c133cb31db5fa4ed562bb67

Observation 83b9e71a-945e-4844-b741-bd537e8bfc57 · outbound

This paper cites Huang, Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Huang, Y.-H

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.396500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.396500Z digest=sha256:7b59de06fed448282da85c181c5d762496946225a8c4b7d03ff5580194477784

Observation df37767e-38f9-4aaa-8c1c-32999b89777f · outbound

This paper cites Huang, Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Huang, Y.-H

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.401509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.401509Z digest=sha256:c21a49fd1624ee7da620c58832495e5279e31ac8c849a4795874e508371e8443

Observation 9c310c9d-5f16-4d95-b752-e9452c2217e8 · outbound

This paper cites Jenkinson.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Jenkinson

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.406323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.406323Z digest=sha256:4d0703cf7364da476604d018deb58460061d4694af18c7895fced0eb056f8401

Observation f4692ecc-4f42-42be-98bc-2a087f452c27 · outbound

This paper cites Li and Y.-K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Li and Y.-K

Reference 15

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.620476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.410903Z digest=sha256:9b7ec62a2eb21e19d9ee9df2ec69338756096007f8bbc6eea61473da8fbbc9d4

Observation 5e33ec34-0e75-409c-8cb0-00d93e560379 · outbound

This paper cites Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension $n\geq 4$.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension $n\geq 4$

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-12T01:00:08.604786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.416854Z digest=sha256:92f81d651d34c2850a1f1bba847b41962ff18fff3c507139acea2f5f5cb8dc97

Observation 374f8f6e-b9de-4a8b-88e3-e396dd46e1e1 · outbound

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

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.421903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.421903Z digest=sha256:1d0b64aca23a6692f9d1caabc31f05ffdcf3a4265519a9fa1558b35a7300cde5

Observation 896888a2-fa02-4ce2-97cc-ccf0c0110085 · outbound

This paper cites Liu and Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Liu and Y.-H

Reference 18

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.565518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.427042Z digest=sha256:89e17b7e8bca33fbaf30564ceac80b04e52e300efe39a51346210d42fe2383a9

Observation 9f943784-84ab-4c04-8a19-4559909999d8 · outbound

This paper cites Nocedal, A.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Nocedal, A

Reference 19

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.549399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.431798Z digest=sha256:9917287fa8b2069d2b3a64ed676ba930154ff70f3d4f218ee6ddfc79967f2c53

Observation d57b8a72-a2aa-442d-a6b4-78c0d90ee6c9 · outbound

This paper cites Pronzato, H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Pronzato, H

Reference 20

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.533949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.436407Z digest=sha256:7b5ce5330ac235f698abc5fe852df9fad3d026cd5546ee5f806189cf85fb1aa0

Observation 9f7d5970-f744-448c-b36d-ffb792f468fd · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 21

Resolution
malformed identifier
no resolver link, observed 2026-08-12T01:00:08.441689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.441689Z digest=sha256:16bddc2355d4e01bb227860d591501ae9fa43ab04bd71295d54c75d866c71008

Observation 771eaccc-eb96-4052-bd93-fb7644b9b73d · outbound

This paper cites Sturman and J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Sturman and J

Reference 22

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.518795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.446205Z digest=sha256:0384499e7bd0df42dbddd9872eaa39b9d360ecb4fd51b4611e7f67407e116503

Observation b7c02e58-418b-41bf-8dac-fb37fb3d4d4d · outbound

This paper cites Walters.An Introduction to Ergodic Theory.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Walters.An Introduction to Ergodic Theory

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T01:00:08.450920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T01:00:08.450920Z digest=sha256:3841a9020db1bf0cb84f9525f8e458c925bf263cc6f63aa571ac592b63441888

Observation 50f31078-5f40-487e-a3a1-5d1083babe18 · outbound

This paper cites Zou and F.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Zou and F

Reference 24

Resolution
verified exact
doi, observed 2026-08-12T01:00:08.492385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T01:00:08.455722Z digest=sha256:63100621db1163a7e3d826959ef9969ce74ccbd647aeb4a8c54f988d2ad2583c

Pith citing papers

No inbound Pith citation observations are available.