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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.616978Z digest=sha256:3f9c338151e11fc3405c9159fea856adde73cd3a4815cf21ec5a60e5ec571117

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.621048Z digest=sha256:50881a1699351fd78cf8aee5da89a679a0622c913c3c0705c71301ff1ba9365f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.624534Z digest=sha256:a5b180e638d73f0b8d8171149cae8fbd18a1ca0495c9d6b8d2cc90ff81e82959

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.627927Z digest=sha256:59d1a0a3749987fb05b4e061408baf530c055dc76fad5b0cd354c5d7a7117902

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.631383Z digest=sha256:79c249374894316e60c17038bf1e628d225df427eb23544e9b5e936d1a9153fc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.634997Z digest=sha256:6122536fde26b7188bd2de553ebf38e70785bd650b6c51f170040cfd680bd54c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.638733Z digest=sha256:640288ee56056f50ffe429420c4803bd2f46051285f78e534a6030783fdce455

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.641909Z digest=sha256:cfc0ac92348ade889af7cd568f429c31269d616259f82e8ca60b8505e058746f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.645103Z digest=sha256:a0d7b08b71e3f97cc6a24c30cafc4600a6fec5a39d859fefd52cf2fba5151cee

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.648251Z digest=sha256:92b7c337b9bde95ee43a0c14c76c3f70064a21acd48a2a5ec39c40ffda94985c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.651351Z digest=sha256:3ee89858da763181bda8b2ee1d33424ac700b16c3fe46bedac66969270f118ff

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.654759Z digest=sha256:b8bf674752c2e83567180034db5673598f9152c4af38d891cb168f1f7f17fed4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.658463Z digest=sha256:a16509b5d9cea39529f3926513641a8bdf86a676609b540c65f847260b38bc02

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.661826Z digest=sha256:cc2bc87c0eced854f050eab88dc9b88c4fc3bb007ae775b75c55d912f2cdf8a1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.664993Z digest=sha256:19fa27a484774aa8daf593e3db18733830ca3c0545a6bf534286e354e3e8ce79

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.668219Z digest=sha256:e66e25c28ff80b36921479a3ed277a4e2b9b8dd897c753a8138cc30ef32b29ce

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.671302Z digest=sha256:8d785da0b9d7c042cedbbb9b4f3383083bc8288e92cab83b4593a0db01212299

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.674382Z digest=sha256:a7894f5178aa40bcbf7b9d3379d6c38feedfa8b22b9d221c3c0ba88da4251f15

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:34:48.678318Z digest=sha256:a09b4d24fd1d38e1956a89822b0ebcefd0d1a92e2dacd2f60c827319d533adb0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T19:13:31.703535Z digest=sha256:82bf28eca3a8067edf33d33e5c921e504e99fe4e8386af81059dbad68dda0ceb