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Paper Citation Record · LEDGER

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:1908.05642.

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

pith.paper-citation-record.v1
1908.05642 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:17:19.780856Z

measured 13 of 13 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:07:45.114333Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T20:05:04.544507Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2e62fd2-e6ab-47e4-a874-8fe9156ff9c0 · outbound

This paper cites Chanillo and R.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Chanillo and R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:20.412865Z

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=arxiv_source observed=2026-08-14T13:17:19.660234Z digest=sha256:d7df28a5f40c6a0d92da53280a7b4f533a8a6114e22a9866c63da1c67e1a987e

Observation f8c275b9-ab25-4774-923e-5d961cdde954 · outbound

This paper cites Cruz-Uribe, K.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Cruz-Uribe, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:20.367872Z

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=arxiv_source observed=2026-08-14T13:17:19.670800Z digest=sha256:544f04bdc8e94b255a20b8ae1b315a939e232e52996fd0dbd39db6a6abee4709

Observation b355a63d-1744-4746-85af-2aef4b7cc4b4 · outbound

This paper cites an unresolved cited work.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:20.315123Z

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=arxiv_source observed=2026-08-14T13:17:19.682636Z digest=sha256:5575b285ad6592cc3265ef2b9c7aad317339ba3aee3445a455620680e3213ef2

Observation ad6658d3-91a4-4754-b99c-09b1d7f235ec · outbound

This paper cites Rodney and R.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Rodney and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:20.255566Z

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=arxiv_source observed=2026-08-14T13:17:19.703454Z digest=sha256:1d678a1b22b4225a5ba28adeca0d7bf2ed07990e7bf245771aa5c714680139fb

Observation a205b996-570d-4142-b098-e42a342b164b · outbound

This paper cites Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:17:19.946857Z

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=arxiv_source observed=2026-08-14T13:17:19.712500Z digest=sha256:9cdfcd15c45b7adc111b79ddf9afb25fd26f513121f85415cf6f29a3896fc1c6

Observation 15ff09d4-538f-483c-be9e-b9a52b7fe0b3 · outbound

This paper cites an unresolved cited work.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:20.187977Z

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=arxiv_source observed=2026-08-14T13:17:19.723664Z digest=sha256:b65ac9f7c3b37be3d42fff6caa4bbfbae8459e69361274a1764366b6edb6519f

Observation 590942b2-2b91-4780-9c24-6cfe9745f2c2 · outbound

This paper cites an unresolved cited work.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:20.153307Z

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=arxiv_source observed=2026-08-14T13:17:19.732950Z digest=sha256:b44ba896cb8455027622066aefb860ed07f3c22e80e2eb99b37346c20ff61bda

Observation 1d8d3403-9585-4fb0-b410-b2318fb65196 · outbound

This paper cites an unresolved cited work.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-14T13:17:19.844336Z

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=arxiv_source observed=2026-08-14T13:17:19.746227Z digest=sha256:9bb7767da1d81e033b9530dc1a44a9257bb82cddae3e356fbed48ee9d211331e

Observation 44b4b4f2-22f9-41b6-9ed2-e83872c4a036 · outbound

This paper cites Rodney, Existence of Weak Solutions of Linear Subelliptic Dirichlet Problems With Rough Coefficients, Can.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Rodney, Existence of Weak Solutions of Linear Subelliptic Dirichlet Problems With Rough Coefficients, Can

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:20.108273Z

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=arxiv_source observed=2026-08-14T13:17:19.757184Z digest=sha256:47c9fd772bacf6d87a700252b25fca379a8a361325a892846d4191f997523e94

Observation 088b39d6-ed95-49ac-8b01-4c00a8f41c9d · outbound

This paper cites an unresolved cited work.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:20.060676Z

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=arxiv_source observed=2026-08-14T13:17:19.771927Z digest=sha256:5bb8da4c7e94b2e2df02ae9ab6ca1e7d13d6dc740854f3ef6c286ef6185deba3

Observation 86efe858-1345-457d-abcb-1556682983ff · outbound

This paper cites Cruz-Uribe (OFS), S.

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces Cruz-Uribe (OFS), S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:20.012289Z

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=arxiv_source observed=2026-08-14T13:17:19.780856Z digest=sha256:e842c3efb181870b1f85ac2a5ffcc120276a467ff035da2862c04b46537cef0f

Pith citing papers

Observation dc185610-3bfb-47a6-9602-2a156496eb5c · inbound

Compact Embedding Theorem Associated with Classical Weight Functions in Two Variables cites this paper.

Compact Embedding Theorem Associated with Classical Weight Functions in Two Variables An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-06-30T20:05:04.546003Z

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=2026-06-30T20:02:22.634336Z digest=sha256:f8ef153a32148f5184ad2f9fcb2ea18fee3ec11b501ed13990241e5d3daeaa9a

Observation 8e811f3e-b95f-4a03-b219-b1baae204dee · inbound

Compact Embedding Theorem Associated with Classical Weight Functions in Two Variables cites this paper.

Compact Embedding Theorem Associated with Classical Weight Functions in Two Variables An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T14:07:45.114333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:07:45.114333Z digest=sha256:905b845ce40ec310f56eced9de51a02624cb23241ce7d889b6e31493b05106ec