Paper Citation Record · LEDGER

Leveraging tails for adaptation

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.20480.

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

pith.paper-citation-record.v1
2606.20480 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T15:11:15.277553Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
unresolved14
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a86d7b8c-f7ec-45eb-8a91-ef4d38086a3c · outbound

This paper cites Usingulog 1 u ≤1 +u, available for all u∈(0,1)we obtainψ(u)≤4 +e <7.

Leveraging tails for adaptation Usingulog 1 u ≤1 +u, available for all u∈(0,1)we obtainψ(u)≤4 +e <7

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d9307d4-d098-4ecc-a1d4-795aadb7ccf8 · outbound

This paper cites SinceM >7 2−p in (35) and thanks to our choice ofd >0, by (36) we havenX 2 k >7 2−p(Xk/σk)p and thush ′ k(θ∗ 2)≥h ′ k(4θ∗ 2)>0.

Leveraging tails for adaptation SinceM >7 2−p in (35) and thanks to our choice ofd >0, by (36) we havenX 2 k >7 2−p(Xk/σk)p and thush ′ k(θ∗ 2)≥h ′ k(4θ∗ 2)>0

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a075482c-241b-4592-bc46-c19cb3eb2c85 · outbound

This paper cites First notice thatlim θ→∞ hk(θ) =−∞.

Leveraging tails for adaptation First notice thatlim θ→∞ hk(θ) =−∞

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f2c6111-1cd3-4da0-b1f9-6a2e87d85664 · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc2edf53-97c4-499d-b5da-b843a9116ace · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91fb6cb5-1674-4912-b826-f6cae7e3c9b1 · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21f3fc9d-0cca-43e8-8a06-a38401cac33a · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6b81164-b1c6-4a2f-ae96-5935012f94b0 · outbound

This paper cites , n γ .(61) Then, for a small enough constantd >0above, one hasP f0[An] = 1 +o(1)asn→ ∞.

Leveraging tails for adaptation , n γ .(61) Then, for a small enough constantd >0above, one hasP f0[An] = 1 +o(1)asn→ ∞

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eefba423-a378-43cb-bb79-4d4f300d33ff · outbound

This paper cites Proof.One first notes that for small enoughd, for anyk≤n γ =dN γ, one hasf 0,k/2≥(nσ k)−1, by definition off 0,k.

Leveraging tails for adaptation Proof.One first notes that for small enoughd, for anyk≤n γ =dN γ, one hasf 0,k/2≥(nσ k)−1, by definition off 0,k

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1727fb81-d9b6-4ef4-b1a2-542b236494bc · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99fd9451-354e-4c58-b2b7-9a278568b932 · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 189b1c30-1e4b-4d97-bc19-ca9f3d010a16 · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8d8e584-cdb3-4f7c-8ea5-653fec988601 · outbound

This paper cites an unresolved cited work.

Leveraging tails for adaptation Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de743532-d3e2-4790-af8f-a9beea597236 · outbound

This paper cites Further assuming||f|| ∞ ∨ ||f0||∞ ≤F, we have, for anyρ∈(0,1), 1 n Dρ(P (n) f , P(n) f0 )≥ ρ 2 e−2F 2ρ(1−ρ)||f−f 0||2 2,PX.

Leveraging tails for adaptation Further assuming||f|| ∞ ∨ ||f0||∞ ≤F, we have, for anyρ∈(0,1), 1 n Dρ(P (n) f , P(n) f0 )≥ ρ 2 e−2F 2ρ(1−ρ)||f−f 0||2 2,PX

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ad9407b-37ac-4aa2-8b92-74ea9c55048f · outbound

This paper cites Proof.A union bound directly shows thatP (n) f0 [Bcn] =o(1).

Leveraging tails for adaptation Proof.A union bound directly shows thatP (n) f0 [Bcn] =o(1)

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-06-26T15:11:15.277553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.