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Paper Citation Record · LEDGER

HRT counterexamples with exponential tails

As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2608.13539.

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

pith.paper-citation-record.v1
2608.13539 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:43:59.095134Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

9 of 9 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dda840da-5805-43bb-bfa5-20489229c8bf · outbound

This paper cites Bownik and D.

HRT counterexamples with exponential tails Bownik and D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:43:59.272060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.055153Z digest=sha256:2be43722e0c242c63242efac1e1d5771aabab6c81b03f9281cf3a14a9935a259

Observation 82f3be2f-6cd4-49f6-a7db-a3312e0457d0 · outbound

This paper cites Chung, S.-Y.

HRT counterexamples with exponential tails Chung, S.-Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:43:59.253796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.060591Z digest=sha256:10e5deea74ba7f8200be9f798e53f6f04ad99eee592363d2cf64716cd77f0d1e

Observation 6974cff0-bad5-40ac-8376-6a78670b69a9 · outbound

This paper cites The Minimum Cardinality of a Dependent Finite Gabor System Is Four.

HRT counterexamples with exponential tails The Minimum Cardinality of a Dependent Finite Gabor System Is Four

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:43:59.175702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.064990Z digest=sha256:e1965c09e3972a87cad6b39427bca588600498522633ff2d8f8f8d9f11e803f1

Observation 6d0e441d-abc7-43f2-8d27-1c7a40eeadae · outbound

This paper cites Linear dependence of time-frequency shifts of a Schwartz function.

HRT counterexamples with exponential tails Linear dependence of time-frequency shifts of a Schwartz function

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T04:43:59.070088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:43:59.070088Z digest=sha256:217ac00cf2d462f770e8c0c78ef7ac87bda4ad4190923e9b850d7b24804a3038

Observation a6afb018-b94c-4f14-9156-20750b0563ca · outbound

This paper cites Gr¨ ochenig,Foundations of Time-Frequency Analysis, Applied and Numerical Harmonic Analysis, Birkh¨ auser, Boston, 2001.

HRT counterexamples with exponential tails Gr¨ ochenig,Foundations of Time-Frequency Analysis, Applied and Numerical Harmonic Analysis, Birkh¨ auser, Boston, 2001

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:43:59.238046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.076110Z digest=sha256:18af1501adb094fcdea435295e07d1a6d722b274971e3e6db9d4be1ecdddb1f0

Observation dfaf47c4-b278-4ed8-99be-876307f98c4e · outbound

This paper cites an unresolved cited work.

HRT counterexamples with exponential tails Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:43:59.222729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.081026Z digest=sha256:a08cd1d1b1f4bd57d0533360494e9e44bf5ec333e595e9748e9de285332ceddf

Observation 278649b5-a20d-478c-8fb2-916d227927b0 · outbound

This paper cites an unresolved cited work.

HRT counterexamples with exponential tails Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:43:59.206778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.085966Z digest=sha256:f9b866940a719aafae387571f8e882030cae2bc4be0e1d887a75765e6fea1e72

Observation 9ae91b63-2f69-4368-a590-fea7c014ae2d · outbound

This paper cites An intrinsically subcritical four-point counterexample.

HRT counterexamples with exponential tails An intrinsically subcritical four-point counterexample

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:43:59.137697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.090490Z digest=sha256:cfecc3bff94cc5817fdefdf9e99181de1077e7ac73ea39f487017e903a9c6bef

Observation 367d1124-5d52-47bd-9963-4b6198ad884f · outbound

This paper cites Wahlberg, Semigroups for quadratic evolution equations acting on Shubin–Sobolev and Gelfand–Shilov spaces, Ann.

HRT counterexamples with exponential tails Wahlberg, Semigroups for quadratic evolution equations acting on Shubin–Sobolev and Gelfand–Shilov spaces, Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:43:59.191289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:43:59.095134Z digest=sha256:de8aa81a9e21d3c96ebc09451e5cc169fa897748a96365e664b57464cfd0fdf5

Pith citing papers

No inbound Pith citation observations are available.