Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-02T09:26:46.194987Z
Paper Citation Record · LEDGER
A generalized Liouville theorem via division
As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.00863.
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 2026-08-22T06:32:14.747728+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
19 of 19 outbound references displayed
- verified exact5
- verified fuzzy12
- unresolved1
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 60c3ca87-b8f8-4510-af8f-d3a985a544db · outbound
This paper cites Strichartz,A guide to distribution theory and Fourier transforms, World Scientific Publishing Co., Inc., River Edge, NJ (2003), 10.1142/5314.
A generalized Liouville theorem via division Strichartz,A guide to distribution theory and Fourier transforms, World Scientific Publishing Co., Inc., River Edge, NJ (2003), 10.1142/5314
Reference 1
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-02T09:26:50.000544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation acb0d959-899e-40e4-a9f1-b5b1d370cf44 · outbound
This paper cites Helmholtz equations for the L aplace operator and its powers.
A generalized Liouville theorem via division Helmholtz equations for the L aplace operator and its powers
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.266867Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 518f8750-811d-4133-a2cb-f882bcd36cc3 · outbound
This paper cites Localization for general H elmholtz.
A generalized Liouville theorem via division Localization for general H elmholtz
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.258648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bb701830-f233-494d-ac09-1d370b63307a · outbound
This paper cites The D irichlet problem for the logarithmic L aplacian.
A generalized Liouville theorem via division The D irichlet problem for the logarithmic L aplacian
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.271224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f6401464-9d9e-4bc6-8e24-774ad8f75879 · outbound
This paper cites Entire s -harmonic functions are affine.
A generalized Liouville theorem via division Entire s -harmonic functions are affine
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.273760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0c2875eb-7478-419f-bda0-0a6ac99f4dd8 · outbound
This paper cites Liouville theorems for a general class of nonlocal operators.
A generalized Liouville theorem via division Liouville theorems for a general class of nonlocal operators
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.264239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation be6de9dd-7868-443e-84ff-afb4ef4f6464 · outbound
This paper cites Helmholtz solutions for the fractional L aplacian and other related operators.
A generalized Liouville theorem via division Helmholtz solutions for the fractional L aplacian and other related operators
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.279911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 51f2b4f7-7657-49a1-8f96-2561d8c3b0ec · outbound
This paper cites Characterization of solutions of a generalized Helmholtz problem.
A generalized Liouville theorem via division Characterization of solutions of a generalized Helmholtz problem
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T09:26:50.304359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation daaea32e-eb33-497b-be70-e22eb95d9e36 · outbound
This paper cites H \"o rmander, The analysis of linear partial differential operators.
A generalized Liouville theorem via division H \"o rmander, The analysis of linear partial differential operators
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.277502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7fe8ede5-7049-4c79-aaee-0993068de74b · outbound
This paper cites & Jakobsen, E.
A generalized Liouville theorem via division & Jakobsen, E
Reference 10
- Resolution
- verified exact
- doi, observed 2026-07-02T09:26:49.993205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f5784b0b-ba44-4a59-b0b5-04283d06dece · outbound
This paper cites & Schilling, R.
A generalized Liouville theorem via division & Schilling, R
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.275579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7645ef7b-1d13-40eb-a087-6c3fd9f63d69 · outbound
This paper cites & Shargorodsky, E.
A generalized Liouville theorem via division & Shargorodsky, E
Reference 12
- Resolution
- verified exact
- doi, observed 2026-07-02T09:26:50.004634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 91c276e2-27e8-4c33-9e57-2cf0072c39e2 · outbound
This paper cites & Sharia, T.
A generalized Liouville theorem via division & Sharia, T
Reference 13
- Resolution
- verified exact
- doi, observed 2026-07-02T09:26:50.009854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9a27d0e7-fbc8-497b-a01f-cc31eaeb7504 · outbound
This paper cites & Kwaśnicki, M.
A generalized Liouville theorem via division & Kwaśnicki, M
Reference 14
- Resolution
- verified exact
- doi, observed 2026-07-02T09:26:50.013976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 27640817-9217-424a-80cb-be43c9e51541 · outbound
This paper cites an unresolved cited work.
A generalized Liouville theorem via division Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T04:11:55.256169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3c67f10c-5496-4b9d-b216-0d0a75f2b1a8 · outbound
This paper cites Chen, On m -order logarithmic L aplacians and the applications, Anal.
A generalized Liouville theorem via division Chen, On m -order logarithmic L aplacians and the applications, Anal
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.269077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c6675dfa-465a-4d80-b2da-7b2376030118 · outbound
This paper cites Lee, Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem, Proc.
A generalized Liouville theorem via division Lee, Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem, Proc
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.282051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ab26271e-fb91-4898-a02c-eaf6611e4b37 · outbound
This paper cites Kurokawa, On the closure of the Lizorkin space in spaces of Beppo Levi type, Studia Mathematica 150 (2002), no.
A generalized Liouville theorem via division Kurokawa, On the closure of the Lizorkin space in spaces of Beppo Levi type, Studia Mathematica 150 (2002), no
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.261409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0b64fedc-a059-4c86-a68a-3c718540e7f5 · outbound
This paper cites Th\' e orie des distributions.
A generalized Liouville theorem via division Th\' e orie des distributions
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T04:11:55.283795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.