Pith. sign in

Paper Citation Record · LEDGER

Extension operators on Sobolev spaces with decreasing integrability

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.09322.

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

pith.paper-citation-record.v1
1908.09322 v4

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:27:18.024273Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 387df630-719f-486c-adf3-c6615dfe8a99 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.354600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.920042Z digest=sha256:435560b985dbc6d38af1ff0420dd267b4062a4bc93cfd940ad953757e6e9368a

Observation 41889c2c-70fa-4bd2-bad0-ae42e129ccb7 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.344528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.925206Z digest=sha256:582e935fb2b749b12ca44b73d8fd5f5e5b1537954200b73de00e9648cacdf705

Observation 9814087b-91c8-44ba-851b-ea7d7d898757 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.335503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.929164Z digest=sha256:fc9022ea92c63080b91255a70495cbcc61cecd62e5ac7411b97f85eb86c9bddc

Observation da3510a6-9e75-464e-bae9-f0751fa2e14c · outbound

This paper cites Fefferman, A.

Extension operators on Sobolev spaces with decreasing integrability Fefferman, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.325265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.933072Z digest=sha256:c45b1f79ab3b40b0b918a6e1d6012cd1c1a6e14785f64c07aeb1ea75c8d27ceb

Observation 512cdabf-d788-4e44-a186-8c617e66613f · outbound

This paper cites Gol’dshtein, V.

Extension operators on Sobolev spaces with decreasing integrability Gol’dshtein, V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.313493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.937008Z digest=sha256:dd8bbd5d01b153e3a902c7ca2551f49a8dfec8223801b613cf14b788b2d1ff5d

Observation 570036a1-fdbf-4167-9a31-27da86c33f08 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.303281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.940980Z digest=sha256:5446a1d9f4a119ff8b94ca9fbc297c6818ab2d2f680dad33b4e3f4701c7fb2fe

Observation bffcabe5-6de2-4ff7-8a26-b5a8253ea25e · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.292251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.944910Z digest=sha256:2a9f793409b0b6dd45419a74e33e7a1cab09d5c2e640e30c253fd449bab402da

Observation f1e25086-3798-4aeb-a041-6570a544edf5 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.281632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.948844Z digest=sha256:63a240b0f6f02fc9e5854b78bfba89598a9c6bdb111e39d74382fbea4fbe16cf

Observation 0e382610-f59e-4bed-a1ab-b4fd9af4b441 · outbound

This paper cites Hajlasz, P.

Extension operators on Sobolev spaces with decreasing integrability Hajlasz, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.271846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.952266Z digest=sha256:e3709766af5ffa26343466fa87299432808d33d7ffca3a900690c22b1d9da3cc

Observation 01f38f02-15be-4eba-9fb6-0e275b5178e8 · outbound

This paper cites Hajlasz, P.

Extension operators on Sobolev spaces with decreasing integrability Hajlasz, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.262310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.955784Z digest=sha256:ff31acbc4ce22d7b83b272cab84c600f93a567cbe4fc52bff721b06c52510fd5

Observation 8095fcaa-d32a-4b38-ae39-bb8c0e1c6a2b · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.252287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.959441Z digest=sha256:b2475e736c3570724600832bca9240b6f7dfc841d2b907a27bf4ccec5601ac7a

Observation bdc26653-6e4d-4134-b2d0-73102d7dfed8 · outbound

This paper cites Koskela, Extensions and imbeddings, J.

Extension operators on Sobolev spaces with decreasing integrability Koskela, Extensions and imbeddings, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.242081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.963134Z digest=sha256:6487021b60397fe076cc34c5049972aac458cffad77082b9499347086285b6e0

Observation 3abba8ac-6aab-4cae-afec-4f36c79defec · outbound

This paper cites Koskela, D.

Extension operators on Sobolev spaces with decreasing integrability Koskela, D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.230155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.967433Z digest=sha256:acd9eba576d5993acb90c72f359ec806b44e04df66e814249db05b258acf140b

Observation 3646a772-d08c-4030-8190-58fc1e4c2ea1 · outbound

This paper cites Sobolev extension via reflections.

Extension operators on Sobolev spaces with decreasing integrability Sobolev extension via reflections

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:27:18.063371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.971348Z digest=sha256:a25c4dddfa17da4f665fa96a702b29ef0e171e2ac38d5adb4ad684fe60c16ded

Observation a3d39ee0-1601-4d89-b43c-05f97ad175b5 · outbound

This paper cites Maz’ya, Sobolev spaces: with applications to ellipt ic partial differential equations, Springer, Berlin/Heidelberg, 2010.

Extension operators on Sobolev spaces with decreasing integrability Maz’ya, Sobolev spaces: with applications to ellipt ic partial differential equations, Springer, Berlin/Heidelberg, 2010

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.220113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.975565Z digest=sha256:e0fccafee7edba9f823ccd298010c8f37b5b3dfc2517615d2f62cd724e31d60d

Observation 1f8485d0-def1-4db2-9096-09001b6fb8e3 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.209550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.979240Z digest=sha256:a512251e94e69a35376caad1b37498a03329f2c6fe8a169f76b94f8520dfe52e

Observation f69a946e-815a-4d9d-9fd5-2cee7123a825 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.200258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.982804Z digest=sha256:0f366c2cbf42afeed4839649e850134fa54a5354cdb6db0a8a17a87dccfd5c5c

Observation 849d5efb-309a-4ff7-ac1f-003752058e41 · outbound

This paper cites Maz’ya, S.

Extension operators on Sobolev spaces with decreasing integrability Maz’ya, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.191468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.986529Z digest=sha256:6f0889ba2d0805a238073cd79d58afe006ee438b41f8bb13523280058d6ab07d

Observation 35e265f9-69bf-461b-8a6d-657c1bb8b066 · outbound

This paper cites Shvartsman, Whitney-type extension theorems for je ts generated by Sobolev func- tions, Adv.

Extension operators on Sobolev spaces with decreasing integrability Shvartsman, Whitney-type extension theorems for je ts generated by Sobolev func- tions, Adv

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.181006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.990980Z digest=sha256:8a4062c08fc631b0231664930979173da77dfdc889190cb6eb70275ccf6eba06

Observation 7661b204-2a7e-4caf-b258-a915b0759483 · outbound

This paper cites Shvartsman, N.

Extension operators on Sobolev spaces with decreasing integrability Shvartsman, N

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.169588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.994899Z digest=sha256:a865e406d4431e32a5a73ffd98a9cf05603caf0458e404db6f9caefafcf80470

Observation f089c91b-1cb8-4417-b6bf-3cefa5f5d49d · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.157941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:17.998979Z digest=sha256:1666ae5307c1d13d901a4729d685e5c5e89882cf825f3adcc45f30bdcbdd88c5

Observation 0d04b44d-c915-4a96-aea8-cadc00ac5d3e · outbound

This paper cites Ukhlov, On mappings, which induce embeddings of Sobo lev spaces, Siberian Math.

Extension operators on Sobolev spaces with decreasing integrability Ukhlov, On mappings, which induce embeddings of Sobo lev spaces, Siberian Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.146507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.002905Z digest=sha256:d24d4bb42e1bd6bab7b405fbca6d666b8611bf7367a20d484067ac3912336bc0

Observation 5cf0e2fc-5b0f-421d-a05b-287d76c2c11d · outbound

This paper cites Ukhlov, Lower estimates for the norm of the extension operator of the weak differentiable functions on domains of Carnot groups.

Extension operators on Sobolev spaces with decreasing integrability Ukhlov, Lower estimates for the norm of the extension operator of the weak differentiable functions on domains of Carnot groups

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.134459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.006672Z digest=sha256:fad97c1a6efc3c5b51204cc4d2471ebd25c4c776f57607e7b2ca9be5390edc94

Observation e8cdb314-5736-45ec-a84e-2cbeae8fc866 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.120745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.009785Z digest=sha256:6d52853b092a3172ba2a4218ba8daf32b3d1cd226d715ce23fe99a2447e5ca1d

Observation 58815a23-48ef-47da-9b03-e5195c633304 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.109382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.013317Z digest=sha256:179b1a1fa0c402a7c3f00c2a15f2fc4df8de5cd28b973a4870058de8c64efbf4

Observation 59336df5-7636-4ff7-aa83-c9fa9f3f7df3 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.099138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.016915Z digest=sha256:aad9395309385b3e7c74db81d3c7bc3c1935cb81f6bee8b5e90fba23fb5fee84

Observation 55426fae-c52b-4a68-a0ec-bfc103a14d6b · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.086943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.020666Z digest=sha256:b5d23b0708b993c07d1436e861c516ac5af20776660477b949b88338cde8e53c

Observation a12f598e-acf1-4705-8e12-5e8857afb0d5 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.075633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:27:18.024273Z digest=sha256:9fe7800de3c5794afcca65ddaf45cb45ecfb8734262e98630a1d070d5e159712

Pith citing papers

No inbound Pith citation observations are available.