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Paper Citation Record · LEDGER

Higher-Order Certified Robustness for Regression

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.05536.

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

pith.paper-citation-record.v1
2607.05536 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T06:11:16.154578Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6c3d89c-81e4-4250-9292-3f4cd769d220 · outbound

This paper cites functional derivative.

Higher-Order Certified Robustness for Regression functional derivative

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:759b55a1a5a3fd38b592ae5d8bfa250d012948b9564f3e99c377f14e430e9653

Observation 2b6d10e9-c2d0-492a-b4a9-5b0d4566821d · outbound

This paper cites an unresolved cited work.

Higher-Order Certified Robustness for Regression Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:e3d337cf4f157f0aa742f68febddccb1667cea6c415be199f055ec46f0675677

Observation f8b4be08-1caf-4589-b33a-9e97194b49af · outbound

This paper cites an unresolved cited work.

Higher-Order Certified Robustness for Regression Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:66f94d634448cfe9eb748289819c1bf06aea7c18ebd73139d3041fc341e2a647

Observation 8d7178ef-08ca-4bd4-b8ae-94db3e753e97 · outbound

This paper cites k pz+δ(x) pz(x) −1 2# =k 2Epz.

Higher-Order Certified Robustness for Regression k pz+δ(x) pz(x) −1 2# =k 2Epz

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:e1656eeccecd7fd7fe8bdf0866f0560e426160212c00b6ffd53ef39a3618f361

Observation 4a23e631-df03-4fed-a6aa-2061de220f1c · outbound

This paper cites Solving forµyields: µ=δ− σ2 k G.(20).

Higher-Order Certified Robustness for Regression Solving forµyields: µ=δ− σ2 k G.(20)

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:23d707be1f20f4cea60bfeee3f71b32d4c4a6c2dc4cf118301f51108ac1e6cea

Observation 6313c2bb-1c9c-424c-94d7-3a78602f4c0c · outbound

This paper cites bang-bang.

Higher-Order Certified Robustness for Regression bang-bang

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:403e1f478b7bd3eb90cc43f9f20b134e3a4e54cdedb79da789a6a68d00eee19c

Observation 8f020927-0933-4a26-8bd0-6e3842529258 · outbound

This paper cites The adversary can construct a step function (Neyman-Pearson solution) using only the values {−M, M} that satisfies the variance constraint trivially.

Higher-Order Certified Robustness for Regression The adversary can construct a step function (Neyman-Pearson solution) using only the values {−M, M} that satisfies the variance constraint trivially

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:326f1478a4723cf5702e14930ff8c98f20c2109a1e9c58fd002dce4aeb9ab600

Observation 3cbdbeb5-c251-4a6c-9946-a10b4f92bb1b · outbound

This paper cites The adversary is precluded from using a simple step function and must construct a solution that transitions smoothly or is clipped to satisfy the stricter variance budget.

Higher-Order Certified Robustness for Regression The adversary is precluded from using a simple step function and must construct a solution that transitions smoothly or is clipped to satisfy the stricter variance budget

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:8b1a0c67c9758bfc5954ad79e1d7147b355a714c077b66ddd42cc03c17646bc6

Observation 0916d0fd-de92-4880-94c3-c53b93fd84b8 · outbound

This paper cites an unresolved cited work.

Higher-Order Certified Robustness for Regression Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:59527e1a58853ae20527242b134087d8cd459f4a3fe0a6455e043c630e79f7f2

Observation 72828c69-4ad6-4d3f-8a43-d1f94fdceada · outbound

This paper cites smoothed.

Higher-Order Certified Robustness for Regression smoothed

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:c455729d6830a282c32214bd928e7be7271442c2f53760efeb22eb7ff66677b7

Observation 7a9d9046-acef-4335-b46e-8ea6beeeacf2 · outbound

This paper cites an unresolved cited work.

Higher-Order Certified Robustness for Regression Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:e239dccaf104ab7c74ecbc293afa3e34a129b7ad44d633061cbece393ea5901a

Observation 5f024284-8cf3-459a-b8a4-4dbe93045fb1 · outbound

This paper cites Bang-Bang.

Higher-Order Certified Robustness for Regression Bang-Bang

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:4b613f7989b9e7bc293df8dd4841cbfe0e003b7153be620720735538db13063b

Observation f527adc7-62be-41a0-a6d0-fc5934305499 · outbound

This paper cites Rearranging forϕ ∗(t): 2λϕ∗(t) =w(t)−µt−ν−η 1(t) +η 2(t)(41).

Higher-Order Certified Robustness for Regression Rearranging forϕ ∗(t): 2λϕ∗(t) =w(t)−µt−ν−η 1(t) +η 2(t)(41)

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:9cb76c9cde27230d5ae4ceb4b31e100b0419573fc7d0b4eeee2f445b778a6c1a

Observation b3140b52-6e9c-4a92-bc42-be889d480947 · outbound

This paper cites •Dual Feasibility:λ≥0,η 1(t)≥0, andη 2(t)≥0.

Higher-Order Certified Robustness for Regression •Dual Feasibility:λ≥0,η 1(t)≥0, andη 2(t)≥0

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:995bbed2ed3cd15bd5bef8d843917fd54ea9f52a650f013bc551b5b5a64c90b4

Observation 39cc6189-cfa7-424a-9fa6-1d7f2876ba0d · outbound

This paper cites edge cases.

Higher-Order Certified Robustness for Regression edge cases

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-11T06:11:16.154578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T06:11:16.154578Z digest=sha256:e9dfbe665e7e9220cc6a8ea8063ebd80765d131b50998a86956b50729b457f34

Pith citing papers

No inbound Pith citation observations are available.