Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:45:08.478269Z
Paper Citation Record · LEDGER
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications
As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.08624.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact1
- verified fuzzy17
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a9d787b5-151b-49f6-96c2-e2d304718d29 · outbound
This paper cites https://mcaim.math.lsa.umich.edu/events/women-in-mathematics-of-materials-workshop/.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications https://mcaim.math.lsa.umich.edu/events/women-in-mathematics-of-materials-workshop/
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.660925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 48d99e20-7039-4100-af23-bf74c4b0dd6d · outbound
This paper cites Aksoylu and T.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Aksoylu and T
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.653921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0374ad8e-8970-49cb-8694-a23f0532cacf · outbound
This paper cites The Helmholtz-Hodge decomposition: a survey.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications The Helmholtz-Hodge decomposition: a survey
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.647178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4af79af1-6350-46f5-9098-bfa8ea34ca4f · outbound
This paper cites Entropy dissipation of Fokker-Planck equations on graphs.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Entropy dissipation of Fokker-Planck equations on graphs
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:45:08.429478Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e255dc2e-07d2-43ff-acbc-9b358e5d3c97 · outbound
This paper cites D’Elia and M.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications D’Elia and M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.640304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 50c44bd8-5145-4aed-a378-41459eb8f366 · outbound
This paper cites an unresolved cited work.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:45:08.633470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8a61132a-29f4-4763-be4d-8d1a4ddb5dba · outbound
This paper cites an unresolved cited work.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:45:08.626951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 557e3bcf-7f13-49ab-902d-1915b3c4d4f7 · outbound
This paper cites an unresolved cited work.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:45:08.620207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7b9abbfc-a243-4f4e-bc38-f8878ffb3724 · outbound
This paper cites Du and K.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Du and K
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.613359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d3b40226-dc38-4d26-9881-c5735ec32919 · outbound
This paper cites Emmrich and O.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Emmrich and O
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.606759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8c4cdbee-ff95-4569-b874-fd0a91a116b8 · outbound
This paper cites Emmrich and O.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Emmrich and O
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.599996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d155ade9-b709-4d55-81ba-d9443e102e5c · outbound
This paper cites Differentiability and integrability properties for solutions to nonlocal equations.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Differentiability and integrability properties for solutions to nonlocal equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.593384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 23b206a5-47de-400f-abfc-ce7167e77c40 · outbound
This paper cites Foss and Petronela Radu.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Foss and Petronela Radu
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.586239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 404f78ea-4ad1-4dec-a560-5e53629fe09d · outbound
This paper cites Foss, Petronela Radu, and Cory Wright.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Foss, Petronela Radu, and Cory Wright
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.579261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 98a31d2a-bd0b-469c-8a61-3a6c6764bc0b · outbound
This paper cites Gunzburger and R.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Gunzburger and R
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.572072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 52a2596d-8590-446b-8397-a1ed21e257c6 · outbound
This paper cites Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:45:08.503038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6b5bca08-4bac-4932-8980-98bf1209ce2d · outbound
This paper cites Parks M.D.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Parks M.D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.565067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 30b0961f-ba5f-49ed-8f9e-8188140da904 · outbound
This paper cites The bond-based peridynamic system with Dirichlet-type volume constraint.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications The bond-based peridynamic system with Dirichlet-type volume constraint
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.557429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d2c84f72-0ade-47e5-9a50-381ac21659ce · outbound
This paper cites A nonlocal biharmonic operator and its connection with the classical analogue.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications A nonlocal biharmonic operator and its connection with the classical analogue
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.549597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ac04dbf3-e6e3-46c8-958b-8a7cbad3e9d6 · outbound
This paper cites A doubly nonlocal Laplace operator and its connection to the classical Laplacian.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications A doubly nonlocal Laplace operator and its connection to the classical Laplacian
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.541967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ad2feea3-ed56-475b-92fc-b1cd35409d4d · outbound
This paper cites an unresolved cited work.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:45:08.533817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 050ae151-696c-49cf-9406-f180efe0e671 · outbound
This paper cites Peridynamic theory of solid mechanics.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Peridynamic theory of solid mechanics
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.526603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6096c942-11a8-4b37-9f92-af0eb28e5b1d · outbound
This paper cites Zhou and Q.
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications Zhou and Q
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:45:08.518274Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.