Pith. sign in

Paper Citation Record · LEDGER

Solutions of the divergence equation in Hardy and lipschitz spaces

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2412.21048.

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

pith.paper-citation-record.v1
2412.21048 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:18:46.499496Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb8449be-c736-44b4-8d81-d93bb91e8daa · outbound

This paper cites G., Divergence Operator and Related Ine qualities, SpringerBriefs in Mathematics, Springer, 2017.

Solutions of the divergence equation in Hardy and lipschitz spaces G., Divergence Operator and Related Ine qualities, SpringerBriefs in Mathematics, Springer, 2017

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.391107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.056089Z digest=sha256:c0ff112aa63206f4f63ab2c58a517ea61b86b2c6b9f28a606ef9fa1a28148da5

Observation 16ffdf74-882f-401e-8764-36c92068a9d8 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.380694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.181697Z digest=sha256:c11ef5a183ffde34635209125670471bb18485830d3d5587688cdc1fdea12d6c

Observation 703d196d-a734-452f-8b27-744e3c8d53fc · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.369901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.300387Z digest=sha256:2b0b5b12f0cf602056a62edf33c93c7b0b4074c9c94f2426aeef2245c548df67

Observation e1bf2fe2-4220-44d8-8468-22906c7f087b · outbound

This paper cites C., Longo, P., Classical solutions of the divergence equ ation with Dini continuous data, J.

Solutions of the divergence equation in Hardy and lipschitz spaces C., Longo, P., Classical solutions of the divergence equ ation with Dini continuous data, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.359341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.426689Z digest=sha256:0d7bb804ae6936c11877477ad6932867e4a7dc00569f61d885f19980ececc255

Observation 49dc1acd-cef7-4d43-b2c6-4ae80e81546e · outbound

This paper cites P., Zygmund, A., On Singular Integrals, American Jo urnal of Mathematics 78, 289–309 (1956).

Solutions of the divergence equation in Hardy and lipschitz spaces P., Zygmund, A., On Singular Integrals, American Jo urnal of Mathematics 78, 289–309 (1956)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.330617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.430466Z digest=sha256:22481eaa4edc0385cec65dde681793573a14d0d3aa1dd3f5eada791fdee31cec

Observation a4167151-0c07-4e7a-a6ff-929083b15809 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.319383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.434286Z digest=sha256:a6be4442e281388bbd3f0834b571130f5bd201a5061a805e6c51c1981cdef400

Observation 4072ac07-1f02-449d-b7fb-b0e6ba571c1b · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.309282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.439024Z digest=sha256:21dd2b4809b53510796c29b1bb88d8c684248792b8441b6386afdb77f97b09b0

Observation e901346e-aedc-4e7f-8e0e-690d11a16bc2 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.298590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.443088Z digest=sha256:192c3b31df1a62423ecad949fe7f5e6368ade2a67a3479296b4da5a8ef8aae78

Observation 4c96c1bf-acac-43fe-adb0-a993ce6763ca · outbound

This paper cites S , Zhu Y.

Solutions of the divergence equation in Hardy and lipschitz spaces S , Zhu Y

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.258154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.446758Z digest=sha256:69b3c1711ef3230560a905d4751a728c162a0a33842759a4d078b419f6d7c62e

Observation 2ad83fa8-44c7-400d-85dc-12af9ddde90e · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.246460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.450466Z digest=sha256:c21da9dac0b4d0b701d19494dac6e9167f03c2f1fcab0f8126c471cf293b24ef

Observation 6b090549-2480-4c31-b064-946b950afddb · outbound

This paper cites 148(3), 207–219 (2001).

Solutions of the divergence equation in Hardy and lipschitz spaces 148(3), 207–219 (2001)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.235471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.453943Z digest=sha256:78196f2c011fd3720beccc7a9e1680d4d9f96e207cd17b00a25415b34837f1f7

Observation 9a22256c-dc0f-4665-a77d-fb67f043065e · outbound

This paper cites P., An introduction to the mathematical theory of the N avier-Stokes equations.

Solutions of the divergence equation in Hardy and lipschitz spaces P., An introduction to the mathematical theory of the N avier-Stokes equations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.126452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.457174Z digest=sha256:f37179e8cb6f6a17676009ac0b5fb4fa160087df7e5702fc82b3f6bdf032aa0b

Observation 112adaeb-097d-49ad-bd9c-6fcf84b2afe2 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.050237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.460319Z digest=sha256:2e98ca1a0c504814be41071f2ea0a19d0db0089297f87b39eeefd4156ec7fa9d

Observation 57937013-83df-4bc6-a171-e99d1c7b4f15 · outbound

This paper cites Theory Adv.

Solutions of the divergence equation in Hardy and lipschitz spaces Theory Adv

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:47.039113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.463707Z digest=sha256:93e92dc4d0d9912577069bdd9e8e9004d6f0bd0f4b2e71d12dad4d03c61eb45c

Observation d314cbb1-be5d-4ed1-8c57-7f12a19acf6c · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.027826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.467392Z digest=sha256:1ed18e57078bcac682241eaa06577a6bed232592f9a151531a01b6a0fc0be0ca

Observation d3fe66a2-c307-4ef8-b5dd-a43f12fabcff · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.015959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.470795Z digest=sha256:3c24e5d3fb025bcb8ccea1c5cc5ba29576a7901d34c923ae5b6ef62e748a3a84

Observation d72e6e74-98af-4d67-9e33-6de93ea1b443 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:47.004859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.473772Z digest=sha256:f5f71eb3759bf2b40bef56a9b769e3a0a34ca3a4dc5c14db56e1dcf686343949

Observation b5a613f0-135f-4814-a6de-b67a4cfeedbe · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:46.905949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.477121Z digest=sha256:e0de643f12ab95c3a9d5c14ec90b0cec56448bea1f0afced410938ffb072027b

Observation 8402fd9e-a71f-4935-8c09-5621b305f2d5 · outbound

This paper cites , Saksman, E., Pointwise characterizations of Hard y-Sobolev functions, Mathemat- ical Research Letters 15, 727–744 (2006).

Solutions of the divergence equation in Hardy and lipschitz spaces , Saksman, E., Pointwise characterizations of Hard y-Sobolev functions, Mathemat- ical Research Letters 15, 727–744 (2006)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:46.893987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.481056Z digest=sha256:6bd147ebcb38c95a47d9ad5ca3ff3f8174d5e8adff5ddcc741e4e39f38ef81ec

Observation 37d8e8d2-4f11-498e-9167-636fa5e0a6d5 · outbound

This paper cites an unresolved cited work.

Solutions of the divergence equation in Hardy and lipschitz spaces Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:18:46.880191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.485190Z digest=sha256:21f93a9808bb87d955bf2d996d9663c094dc1b530b9b13c58630cba0a15f8d1c

Observation dc7e4d5d-b6a5-4ced-87ce-8a4f98908788 · outbound

This paper cites Part 2, Banach Center Publ.

Solutions of the divergence equation in Hardy and lipschitz spaces Part 2, Banach Center Publ

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:46.868980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.489043Z digest=sha256:af1285596f49f906bfb214272d218514f74629238b6b6bf145e50f2664237a0a

Observation 7a39e781-dbf7-4c32-bc2d-dc717c3b33a1 · outbound

This paper cites J., On Korn’s First Inequality in a Hard y-Sobolev Space, Journal of Elasticity 154, 187–198 (2023).

Solutions of the divergence equation in Hardy and lipschitz spaces J., On Korn’s First Inequality in a Hard y-Sobolev Space, Journal of Elasticity 154, 187–198 (2023)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:46.857686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.492330Z digest=sha256:3f21375fa83ee70ea389046651a78d71e3c2efc5ff8c52d050e96466e5cb6eac

Observation df18b7af-b8f7-4453-b146-267bb97d9541 · outbound

This paper cites 43, 1993.

Solutions of the divergence equation in Hardy and lipschitz spaces 43, 1993

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:46.765384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.495604Z digest=sha256:13f539aebb0f4017bb65f793c7aa1e221fb77da4962edda251a283ab579bf0c0

Observation 6bb86da5-8288-4926-967d-cd5b13be360d · outbound

This paper cites O., Torchinsky, A., Weighted Hardy spaces, Lecture Notes in Mathematics, 1381, Springer-Verlag, Berlin, 1989.

Solutions of the divergence equation in Hardy and lipschitz spaces O., Torchinsky, A., Weighted Hardy spaces, Lecture Notes in Mathematics, 1381, Springer-Verlag, Berlin, 1989

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:18:46.576860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:18:46.499496Z digest=sha256:e8549583427468c2727073f0074c7f4769c33d6885b9f905e52db526e0d26614

Pith citing papers

No inbound Pith citation observations are available.