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Paper Citation Record · LEDGER

High-probability zeroth-order online convex optimisation beyond Euclidean geometry

As of 30 July 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2509.21484.

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

pith.paper-citation-record.v1
2509.21484 v3

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T13:59:06.623734Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-30T06:33:22.917629+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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0bd26e99-55f0-4cbf-98bf-41741bd4cc82 · outbound

This paper cites On the Impossible Safety of Large AI Models.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry On the Impossible Safety of Large AI Models

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-18T14:01:27.198517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:fa1339058dae3d49e21298e620dc45b034fd21fd89b9075f2166a28e457dd417

Observation 79b0b496-6878-42aa-8e7d-2728b3440914 · outbound

This paper cites We begin by extendingf to a1-Lipschitz function defined on all ofRd.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry We begin by extendingf to a1-Lipschitz function defined on all ofRd

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:01:28.671128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:5420ffb4f7064297a390a6bd6286d10abaf7b6e37d7ec6bfec997ecd97c6b15e

Observation 360b482b-2988-4d8e-a397-b7464f2c9b2f · outbound

This paper cites an unresolved cited work.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-18T14:01:28.674516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:c182358f77d602c7106ebd02f77ab13d5668e9025a065e22cf64c02ff9e8a81f

Observation 8c8fe906-d51c-415f-9221-e36ee18b5e7b · outbound

This paper cites an unresolved cited work.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-18T14:01:28.677574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:6bd7e2fb12045300624697d32bd3adf289112b2912c18fe3096ab57878f8a6e5

Observation a6539011-f5fd-4c6b-a5d2-22b790635b4f · outbound

This paper cites As Proposition 5.2 relies on Lipschitz concentration on theℓ1-sphere, the analogous proposition forg◦depends on the concentration of a Lipschitz function on theℓ2-sphere.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry As Proposition 5.2 relies on Lipschitz concentration on theℓ1-sphere, the analogous proposition forg◦depends on the concentration of a Lipschitz function on theℓ2-sphere

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:01:28.688541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:800d2c143806ddfb84685f34d631d8b591b2000743cbf32f2d1a59d5485a1ccb

Observation 1830123a-5c5b-4d8d-8990-8a6b5bbb5e6f · outbound

This paper cites Proposition E.2.Suppose Assumption 3.2 holds.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry Proposition E.2.Suppose Assumption 3.2 holds

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:01:28.691945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:d857c62ba8738e8892e3800352b9b22f667278345662486c8386a03d1d2480af

Observation ba33694f-ca0a-4a4b-839a-7b3e8da13ede · outbound

This paper cites an unresolved cited work.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-18T14:01:28.680945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:d20aa9fd4caf9c83b9127f13bb627139a6908905eb0ef8635b886b48c1b2bd46

Observation 9478ded9-9c09-477c-a892-c0a278e108fe · outbound

This paper cites IfΘ ⊂Rd is convex set, andf is a convex function thenfh is convex onΘandf h(x)≥f(x)for allx∈Θ.

High-probability zeroth-order online convex optimisation beyond Euclidean geometry IfΘ ⊂Rd is convex set, andf is a convex function thenfh is convex onΘandf h(x)≥f(x)for allx∈Θ

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:01:28.684783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-30T06:33:22.917629+00:00.

source=pdf_text observed=2026-05-18T13:59:06.623734Z digest=sha256:f3ce12cfd738668fc450b7529454628b7ed0907dd7eb2c8e932f9c39819d228b

Pith citing papers

No inbound Pith citation observations are available.