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Paper Citation Record · LEDGER

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2506.08273.

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

pith.paper-citation-record.v1
2506.08273 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:34:48.678318Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:13:31.703535Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:13:36.555566Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05e3729a-0cce-416e-b6f3-85616ebe3cf4 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.884743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.616978Z digest=sha256:533dcce52cc4c802d191e34996a0398f9a4c8ff58ab30245ef468a830181ccb9

Observation 4feac935-8201-418a-9f3c-32892acd7ecd · outbound

This paper cites Ciaurri and L.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Ciaurri and L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.875478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.621048Z digest=sha256:f1499d874cbdeefe1af785159a627231716219d7f829ca7b951c3dcac711e906

Observation b5a44c32-17aa-4225-b39e-f8aa2cbb8f64 · outbound

This paper cites Ciaurri, L.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Ciaurri, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.866080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.624534Z digest=sha256:2203566d4d7879db7a5e6aefd6ef55355a3c94c2be7e91e0093f94fc3b5305ae

Observation 3c092df7-df79-4427-87fa-7f95736211a2 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.856504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.627927Z digest=sha256:56be5273ee7f80a1200412732b8b243fcc1172b7ad31c423f83f393de42fa13d

Observation 3b64aa20-a650-4da7-8fca-6340321b7d05 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.846932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.631383Z digest=sha256:9aaba6e186aaade82381b78ce0d35449966784200e7da0b9b26a985f1e7a8c48

Observation 80094bd8-b5e9-4088-935d-1fbf4cf20cc8 · outbound

This paper cites Fischer, M.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Fischer, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.837259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.634997Z digest=sha256:ce7361e835e1d7e83d3b89646f76f3af620c3d759dd4200aaad36c173c9a09bd

Observation 322d699f-3ae1-4732-9de8-66eafc5346f4 · outbound

This paper cites Gebert and C.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Gebert and C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.827780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.638733Z digest=sha256:2326d42bbf72d7732d475217ddb12b88014f49ac8b60f89c5d609371fd37ebd2

Observation 8722010c-a3b6-4ea6-aed3-ae3fcadd4b5d · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.818219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.641909Z digest=sha256:0d5d9453b4dfeba951ac699d0388c18d7f1c852cf11d5b562e237bfb6104e53c

Observation 2465c339-4031-41de-a8e9-5744f53076c3 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.808779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.645103Z digest=sha256:6581e72a5511af562939752e376176521364c0b9cddc782565df918e5cdf2561

Observation cc4b09cf-1a42-43db-8630-327fc1eeb4be · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.799411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.648251Z digest=sha256:a155c817bbc75db669bc028c82bdbce83df760055f0f9aebe8e5181b94fb3c5e

Observation 7216b3f7-1092-4b5a-8a05-bcbfadedf3d8 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.789847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.651351Z digest=sha256:f698afc43923e268ee1a8ad422958b5b19b01df7fcda530518cf0b272aa871e5

Observation b4a94f3e-8380-48f6-aa46-dbbeef83eda6 · outbound

This paper cites Huang and D.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Huang and D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.780014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.654759Z digest=sha256:4f90b820942213bf2747da0a78f830283be356cc131f54ffeecdb96eef544083

Observation a674bab6-32a6-4ed8-86e9-449ef37231bf · outbound

This paper cites Kapitanski and A.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Kapitanski and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.770491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.658463Z digest=sha256:408506e9b6265b8ec21f5ac117c17e0aebe136388686d646ab86988ce31805d9

Observation 3af68af2-ac44-43b9-a38d-6a10a8784225 · outbound

This paper cites Keller and M.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Keller and M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.760267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.661826Z digest=sha256:6d3675a8f157dfd0e092018f2df84805b0cd20e8adfeeda818b73e3e47fa1208

Observation 028f7353-3bf9-4982-b8b9-bc8d52c80723 · outbound

This paper cites Keller and M.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Keller and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.749306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.664993Z digest=sha256:1698cd34a06a36dae5af86c6ef0e2175b96dfb546ae4658ee604e6cb3a66cd71

Observation 35036d98-9e1a-4a07-9b36-df230cd1d61c · outbound

This paper cites Keller, Y.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Keller, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.739276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.668219Z digest=sha256:41887b6d3c62c51b74806d382e531da78ba9f9d1c4ba13828e55e51a3ac20654

Observation cf2dd048-f4b2-45fa-bc50-167a372e0f60 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.728995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.671302Z digest=sha256:3558d27a16d7fbd0e7ef244be2ccdab2e6723170ee94f8efaa1d6b6e44ec668f

Observation 4248983f-39f3-400c-89ce-e3e75b0be43e · outbound

This paper cites Roychowdhury and D.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Roychowdhury and D

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:34:48.717997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.674382Z digest=sha256:34eb82205ae0b9441dba3307b24601e8d22f60bc9f191ebc6af7baeea9b3a810

Observation e4ba937d-4a5c-41c2-ad7a-d543361361a1 · outbound

This paper cites an unresolved cited work.

Fractional and non-fractional Hardy inequality on a lattice $\Z^d$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:34:48.707244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:34:48.678318Z digest=sha256:a65e9c1c09c560b4da9baceb0f0acb2ba70d0d3ac8fbd5eadab72e0bb06f8a75

Pith citing papers

Observation ba5e9513-eb0f-4199-b129-d8cd3a05ac5f · inbound

An optimal fractional Hardy inequality on the discrete half-line cites this paper.

An optimal fractional Hardy inequality on the discrete half-line Fractional and non-fractional Hardy inequality on a lattice $\Z^d$

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:13:36.648878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:13:31.703535Z digest=sha256:241198f395ff4e0dc3ffb564e0a2232ee2accd7f9046de0222a59cabce971a55