Pith. sign in

Paper Citation Record · LEDGER

A measure with small support and p-summable Fourier transform

As of 18 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2412.07314.

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

pith.paper-citation-record.v1
2412.07314 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:11:42.604686Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:57:29.610767Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T23:57:29.761351Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90520ed6-655e-4556-b64d-e1572210deb1 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:42.820597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.532978Z digest=sha256:f6546c54f1156c8fa3432812f24329d6bf9abeb151d395202c8de279fa80003a

Observation 28c4030f-3f43-4005-81d9-62031d830d2a · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.538701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.538701Z digest=sha256:22bcac841501ba55b950e0fa7fe3fedaa9236ddc74c1dc0b9a1c721e150342f7

Observation 4b5bd788-5b02-43ca-bc7a-33ce05550591 · outbound

This paper cites Beurling, On a closure problem, Ark.

A measure with small support and p-summable Fourier transform Beurling, On a closure problem, Ark

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:42.793826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.544379Z digest=sha256:b385c718ae81078b2d58b558706e54dd73faf6f8a4076d2bbeabe558d1c417af

Observation 99ef2941-08e2-4ea0-bb5e-78d8bf1e9cc9 · outbound

This paper cites Bluhm,Random recursive construction of Salem sets, Ark.

A measure with small support and p-summable Fourier transform Bluhm,Random recursive construction of Salem sets, Ark

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:42.777766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.550610Z digest=sha256:ad63ad091bc1a423dc547b8102f097bfe746c74ce38aaf2be7b822d090ceb830

Observation fa52673c-678e-4d80-80f1-d76503b719b7 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:42.760465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.556492Z digest=sha256:ae00ad1d669bba8e6c74194918cef0e895a174f153062739be1b0926da09a35a

Observation 72e63d7a-0f75-4172-b8e1-06ab0dbf3f92 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:42.741110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.562407Z digest=sha256:0fa1307312b2d759f55d444bb28438d49bda6151119afbeb110209263d75bafa

Observation 604b002b-2fd7-4578-a1a6-d67dcedbc562 · outbound

This paper cites Havin, B.

A measure with small support and p-summable Fourier transform Havin, B

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.569940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.569940Z digest=sha256:d559e99b3008612ff364b316d94ed72dd0630fc3cda7a8a8668993a5da678f60

Observation c309870c-f708-4321-959b-5de7001a05bf · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.575516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.575516Z digest=sha256:a3f01103a94fa9aa2ca77b32db94e360e74df6369a978df4e47dd84fcb8dbb98

Observation 21c51a62-98cd-4e8a-b1f3-2bf10ac964cf · outbound

This paper cites Mattila,Geometry of sets and measures in Euclidean space, Cambridge University Press, 1995.

A measure with small support and p-summable Fourier transform Mattila,Geometry of sets and measures in Euclidean space, Cambridge University Press, 1995

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.581279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.581279Z digest=sha256:636e0950a1592f6f5ace9597fe6c97955f634bc55b24a6a61764d3993a28cee3

Observation 097f424c-8d69-4603-9672-5074df89d78d · outbound

This paper cites Salem,On singular monotonic functions whose spectrum has a given Hausdorff dimension, Ark.

A measure with small support and p-summable Fourier transform Salem,On singular monotonic functions whose spectrum has a given Hausdorff dimension, Ark

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.587112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.587112Z digest=sha256:edaaeca742d3ca71a95b020c0a57a1b51096d93547dd2bf08d539e9b0b7b6cd2

Observation 74e640d6-566b-40b8-af2a-66c1be3ac0c1 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.594763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.594763Z digest=sha256:61bdb2e67aa2517adb507d30e932331a6ca3e95ef6b91fffcc0657de8173929d

Observation d2c13aed-55f3-42eb-8d79-fe3340f17586 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T19:11:42.599870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:11:42.599870Z digest=sha256:dc8bf36365ba6cc93998b91cfed494a831cb8a40d91697102d0e301ae3aa7ab3

Observation 9f52cd24-ac9e-432f-8d0c-2739a92a0637 · outbound

This paper cites an unresolved cited work.

A measure with small support and p-summable Fourier transform Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:42.647796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T19:11:42.604686Z digest=sha256:fa2fc4f20f7b12f032cc2f018792b6012686f68d9a7de9050a123d8c9b5e2d2b

Pith citing papers

Observation 0fa1798a-4a19-471c-85ab-ae4e4713c0a3 · inbound

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve cites this paper.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve A measure with small support and p-summable Fourier transform

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:57:29.765899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.610767Z digest=sha256:5227cd95ee81ccc6a936f1e434705f4d6001734a4eda07c2efea74431babc65b