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Paper Citation Record · LEDGER

On a novel probabilistic Sampling Kantorovich operators and their application

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.12053.

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

pith.paper-citation-record.v1
2506.12053 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:42:15.254496Z

measured 29 of 29 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 2026-08-06T20:21:09.780822Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:21:12.244940Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f5bb16b-e85a-455a-b7b5-74eb68b4bb64 · outbound

This paper cites Agrawal, R.

On a novel probabilistic Sampling Kantorovich operators and their application Agrawal, R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.702633Z

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=2026-08-07T12:42:13.233831Z digest=sha256:b2aea3e84e747532861e24112cd558eb4432778a1f6b4eb29375d33c37d6449f

Observation 1bcde3c1-110c-419a-90b7-22c6532ccd44 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:19.573235Z

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=2026-08-07T12:42:13.279451Z digest=sha256:d324caad39fe8e88a1f03a08ea8dc215916c39189f884ebe8a125466aba8bbd0

Observation 85f7e893-ca15-4a5b-8545-c1ea6535a44e · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:19.410935Z

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=2026-08-07T12:42:13.363155Z digest=sha256:1bec276f8d58492c9243c3aeb8e242a3d031919767cc9cd67623ab9452f6f263

Observation 33827ca2-e83c-4329-99ac-d2c0a881638e · outbound

This paper cites Bardaro, L.

On a novel probabilistic Sampling Kantorovich operators and their application Bardaro, L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.266093Z

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=2026-08-07T12:42:13.425459Z digest=sha256:e0bd369f70f844699ec36614a543ebd6b206f5f1723d60e38384f9b288eb2c0f

Observation 94c2fb1a-1320-4b6f-a4d2-09f32d9cf2aa · outbound

This paper cites Bardaro and I.

On a novel probabilistic Sampling Kantorovich operators and their application Bardaro and I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.139876Z

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=2026-08-07T12:42:13.465451Z digest=sha256:3ac7f082a477e5fdc02c5d138d43c579e4a7591983d7515873e69e844ccccee4

Observation c361a80b-6e6b-4129-87fd-120fccf4b8d8 · outbound

This paper cites Balser, & M.

On a novel probabilistic Sampling Kantorovich operators and their application Balser, & M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.962173Z

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=2026-08-07T12:42:13.537566Z digest=sha256:2b2a80eedc93576ac820a1415d25ac43156260cb2ad2a8fd8282fd02297bbeda

Observation a07956ee-dd6c-4105-8f37-3cc8388bf6ab · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.865386Z

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=2026-08-07T12:42:13.615631Z digest=sha256:73427fedb555a742aba295abdea4ddb10cb7b6e46d13caf065d657a399b41c23

Observation 520cccfc-64a2-4340-877d-960ac57e7555 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.735808Z

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=2026-08-07T12:42:13.699201Z digest=sha256:dd24e6aed65f4fbcc774db1b0b85017e7d8a9fa9157b5228a74cf333968a7016

Observation d32009c9-7b21-42df-91b7-1f4769a9a41f · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.644719Z

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=2026-08-07T12:42:13.770459Z digest=sha256:24919aa5107ceeb4cd92e6364d929dca30d26ad63cad7329fe0c88435b669e07

Observation 4106fbcd-daf0-4004-82ca-93fc2b4162f7 · outbound

This paper cites Costarelli and G.

On a novel probabilistic Sampling Kantorovich operators and their application Costarelli and G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.513431Z

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=2026-08-07T12:42:13.817766Z digest=sha256:0c0f2989eab217fc33a6d4d436dd6c244b52a4d7a70816971ea4dc00c52c034f

Observation 942d6d5c-3236-43d8-89c6-d1008e8804a9 · outbound

This paper cites Vinti, An inverse result of approximation by sampling Kantorovich series , Proc.

On a novel probabilistic Sampling Kantorovich operators and their application Vinti, An inverse result of approximation by sampling Kantorovich series , Proc

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.435663Z

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=2026-08-07T12:42:13.894998Z digest=sha256:b5e8e89968c77a8a49dd0d34c79ecc26c1318174cb9e92254d112f13e3d4b373

Observation 241c56e6-136d-4c53-a601-f5ddcb15e93d · outbound

This paper cites Costarelli and G.

On a novel probabilistic Sampling Kantorovich operators and their application Costarelli and G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.330264Z

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=2026-08-07T12:42:13.971056Z digest=sha256:aad5a53b163b8e92f61efbe4b4d2ec45ce14f050e889e6eabb55cccbb3cf48d8

Observation b61872d1-a4a3-4769-babb-cf951aae152a · outbound

This paper cites Costarelli and G.

On a novel probabilistic Sampling Kantorovich operators and their application Costarelli and G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.204889Z

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=2026-08-07T12:42:14.020799Z digest=sha256:704fe9f5c3a28c5e20710d45271d700ed220249d99e688ac7b80cec9be476feb

Observation 22141a08-b6b0-49d8-a3ee-6ba8dc7213b1 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:17.873141Z

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=2026-08-07T12:42:14.100961Z digest=sha256:46e08dc45a17a3ce2c88e0c9d6fc37f3bb3cd43acffd0b2a4b685ba8f23a322d

Observation e928a9b9-82fe-4b1f-b1c6-190feef1b1df · outbound

This paper cites D., Gadjiev, & C.

On a novel probabilistic Sampling Kantorovich operators and their application D., Gadjiev, & C

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:17.506248Z

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=2026-08-07T12:42:14.181655Z digest=sha256:ca82d3a59d88b4c500103f3a1f8e543fa9d0372a38ca67e6bae5b757649e5342

Observation a6a2db07-2eda-4d05-b90b-b32a97e756d4 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:17.369788Z

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=2026-08-07T12:42:14.229150Z digest=sha256:38d9c7136ff5053e780ed1e9f9c0460ad307153b287577491542baa062e20785

Observation 7532058b-ddc8-4f2f-a70b-225d018e7d55 · outbound

This paper cites Bardaro, G.

On a novel probabilistic Sampling Kantorovich operators and their application Bardaro, G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:17.140181Z

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=2026-08-07T12:42:14.304652Z digest=sha256:b4e8a9ac16cf3fbb7174bf965bb4ae9a3d0abba6ea05e364a3ae44ba4b66812d

Observation 76b40b80-3e2e-4266-a3f0-bd31877a73c1 · outbound

This paper cites Demirci, S.

On a novel probabilistic Sampling Kantorovich operators and their application Demirci, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:16.974798Z

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=2026-08-07T12:42:14.346642Z digest=sha256:f1da82b1a11c39e96e2c4d4ffd8f5fe53d42b0fe023a2354fcc10106230b6b8e

Observation 1daaf1c0-9079-4c1b-adf6-c04dad73a995 · outbound

This paper cites Yurdakadim, Approximation properties of convolution operators via statistical conver- gence based on a power series , Commun.

On a novel probabilistic Sampling Kantorovich operators and their application Yurdakadim, Approximation properties of convolution operators via statistical conver- gence based on a power series , Commun

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:16.800336Z

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=2026-08-07T12:42:14.454270Z digest=sha256:bd0edc18969c09fa845dbfc64e8c47d2b1d54471647a178e43b78129731fbfab

Observation eb3b3aba-8033-4e82-9e00-5f2cd9a78c68 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:16.631709Z

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=2026-08-07T12:42:14.529922Z digest=sha256:0a0c65291b75f6210fcbbe834017d798689a04baeccd32264d2adde80ba5b2bf

Observation 2b40b18f-1d09-443a-97e3-6ac150baf558 · outbound

This paper cites Robinson, On functional transformations and summability , Proceedings of the London Mathe- matical Society 2.1, 1950, 132-160.

On a novel probabilistic Sampling Kantorovich operators and their application Robinson, On functional transformations and summability , Proceedings of the London Mathe- matical Society 2.1, 1950, 132-160

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:16.457743Z

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=2026-08-07T12:42:14.596182Z digest=sha256:b69f0a6053c379272cb9cd7cb48711fd3813492baa9f29f04e9ddd156946faf7

Observation a46cca4c-1a11-424c-b7a9-d82eb4ff7b11 · outbound

This paper cites Shukla, P.

On a novel probabilistic Sampling Kantorovich operators and their application Shukla, P

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:16.265319Z

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=2026-08-07T12:42:14.698279Z digest=sha256:13dbcc003904000b12e6b4c4cf2adb7ed1cc42bf20d4aa2fd67ca55b02f86b54

Observation 337efeef-11ad-468c-baa1-4d56585f54d0 · outbound

This paper cites Singh and K.

On a novel probabilistic Sampling Kantorovich operators and their application Singh and K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:16.117035Z

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=2026-08-07T12:42:14.807831Z digest=sha256:ae49eb26f556448004db4a30b0877ba82d38ba84df285dc08be7b40e85a40fda

Observation 989f3194-4759-4cb1-a55c-84bbdbbba7b7 · outbound

This paper cites S¨ oylemez, & M.

On a novel probabilistic Sampling Kantorovich operators and their application S¨ oylemez, & M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:15.982950Z

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=2026-08-07T12:42:14.860065Z digest=sha256:e5cfcb28c1caa0cc00a04bf3680bbe8606e0b1df3ae7c20561ba7c13fe0f885a

Observation 7d7a92fc-12de-4aac-97c1-22ac6e71e787 · outbound

This paper cites an unresolved cited work.

On a novel probabilistic Sampling Kantorovich operators and their application Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:15.846391Z

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=2026-08-07T12:42:14.957033Z digest=sha256:1520f9c1c1a430ede0acc9b96caf9e09e11ab60b87350ce46e634817f0d7e4e6

Observation bdf4d152-9c21-4ba3-b29d-1f41abcd92ae · outbound

This paper cites Tas and T.

On a novel probabilistic Sampling Kantorovich operators and their application Tas and T

Reference 26

Resolution
verified exact
doi, observed 2026-08-07T12:42:15.370476Z

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=2026-08-07T12:42:15.035957Z digest=sha256:633b2c801db51e59c9a5ead4ba9b9376be891f97bbb1c6e9597c4c86f6317dd4

Observation 2f781c42-efdb-480e-be78-30561822c073 · outbound

This paper cites ¨Unver, Abel transforms of positive linear operators In 11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013, (Vol.

On a novel probabilistic Sampling Kantorovich operators and their application ¨Unver, Abel transforms of positive linear operators In 11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013, (Vol

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:15.701496Z

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=2026-08-07T12:42:15.129312Z digest=sha256:3d741314aec7ba9b45d746c1f182ced8eb307226213e83da73a7e301ef862bc5

Observation d9abb5ba-4b79-483a-90ef-88aec20a41b2 · outbound

This paper cites Wang, A.C.

On a novel probabilistic Sampling Kantorovich operators and their application Wang, A.C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:15.530704Z

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=2026-08-07T12:42:15.254496Z digest=sha256:dbca4d1aa1effd5d4b01ac81beb8ca206bb89807ec2d78c03a2505526b352c6b

Pith citing papers

Observation 5e296daa-7721-4f01-b593-2c7b0e3e769d · inbound

A comparative study of some wavelet and sampling operators on various features of an image cites this paper.

A comparative study of some wavelet and sampling operators on various features of an image On a novel probabilistic Sampling Kantorovich operators and their application

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:21:12.311939Z

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=arxiv_source observed=2026-08-06T20:21:09.780822Z digest=sha256:45a4f583c88581f41ff7234107e28bbd6390a970aabc7f125eefd1ecf72429ca