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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.616978Z digest=sha256:ba6e907258f569200d8c96bb40bd350312302a3be508f310d4fb09f1e2c13854

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.621048Z digest=sha256:e4e99316e4db73153c1d945f4a7dd56f43cadd9bebb8db96c89f47f1e2f4f838

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.624534Z digest=sha256:6ee766d8f437b3041cffb67085a7bfecff5a65944ab0c434241e1358606097bd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.627927Z digest=sha256:219b3356db6684f0dd451f1dd1cd4e2f64aa0791434631a0afe0b948d7a8b1f9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.631383Z digest=sha256:0464146ce866bd9af60663482b2f03c3e1c71c944a803ae6bb711db8775dd659

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.634997Z digest=sha256:f708703b0a819bdf8d9b049c803f9531271b4e4cb5dc0302fe186abf924e215c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.638733Z digest=sha256:1aabb0b5c174cef46e6c88e539dadcd70c669502adc026225865ce7dfa787570

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.641909Z digest=sha256:442a1764e91a98dfc7255bb6360e3f042745c34344d115eba1d55c6d45801b83

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.645103Z digest=sha256:e2d446a00a180d4bc4174ef85815734508b17253d998e477a8a8dc51494918df

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.648251Z digest=sha256:c28e98ab5e76e00b0d4c850ffd79a954387637aadd9b3bae718a46e9db8e80d7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.651351Z digest=sha256:2cf9854f062d78cdd77624908fc256413b19f93d13e7e4ad264a9499454b9fd3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.654759Z digest=sha256:062f72f076fa53c184c721e0e8f1fef03e097d02fcebb56537762678898f5746

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.658463Z digest=sha256:00221eae381e68e1d608d33fae2274c7b8e670de957c8933e95dcd6ec2fc33e7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.661826Z digest=sha256:71d26651ae71daecb37fc45f805d1b0a1d49fd861970c43a1b6766287e9ef4f4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.664993Z digest=sha256:eb33a8e4c5a0826d858b2908e529fa894088835b090c4e984114bd7fc26ad336

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.668219Z digest=sha256:821e1b5926193235fe48707860d14e350734f83e21325cad8417820f971a7d69

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.671302Z digest=sha256:cce65be365a5f77d766e45aad4848bd4eb05c24ffeb75d8f5d62b781655a6a05

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.674382Z digest=sha256:25bd7a71dd43756088cc0705f4be30f4dc4d53a5b296a3802b5626e1b85d0f6c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:34:48.678318Z digest=sha256:604342f6dce293454b90abf2822bfdaba1ff31033b82364af42b99bd663178ea

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T19:13:31.703535Z digest=sha256:2eb2e3acc278130a4d373e850e7a84bdda623cd392f490bfcef82d7896865326