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Paper Citation Record · LEDGER

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians

As of 13 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2607.24169.

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

pith.paper-citation-record.v1
2607.24169 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T22:07:58.759974Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f74fcb40-d44b-4ff9-aba7-6733550d1bfe · outbound

This paper cites Optimal Poincar´ e-Hardy-type inequali- ties on manifolds and graphs.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Optimal Poincar´ e-Hardy-type inequali- ties on manifolds and graphs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.734879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.734879Z digest=sha256:6448db870c81efc6a70a6dcf67b333415c84fc53faeea749dcbd9748e2280f36

Observation e607cdb1-d223-46eb-a4ec-41602001bca3 · outbound

This paper cites An improved discrete p-Hardy inequality.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians An improved discrete p-Hardy inequality

Reference 37

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.730686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.730686Z digest=sha256:cdb686482794d7586cad1448e5a0b5032249f5288e52b162ee89201aadec8c10

Observation 9004a732-b0df-4066-8a00-e96ebe835f5b · outbound

This paper cites Heat kernel and essential spectrum of infinite graphs.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Heat kernel and essential spectrum of infinite graphs

Reference 41

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.755734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.755734Z digest=sha256:a994b0f21520f5635c0b8bd80d47df02017960460082c5d84a7c52c2149d9b00

Observation 42bfa9a0-b0fb-45d5-84d7-284eca810a2c · outbound

This paper cites Upper bounds for symmetric Markov transition functions.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Upper bounds for symmetric Markov transition functions

Reference 47

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.720979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.720979Z digest=sha256:81bccddd62af5d1d7a663de6efa32cadacf918bb083c32aa3a210dc9771fbb6e

Observation 6352b575-ac66-4ea0-9c6a-07f90f4c0781 · outbound

This paper cites an unresolved cited work.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Unresolved cited work

Reference 64

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.759974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.759974Z digest=sha256:4e0404d6db24c5419c366a7325915e822f4a1c391c71df3ac31be62835bc41ba

Observation 1b10d9b0-f7a1-4baf-85d6-ce8d7817f714 · outbound

This paper cites Bound- ary representation of Dirichlet forms on discrete spaces.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Bound- ary representation of Dirichlet forms on discrete spaces

Reference 223

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.745600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.745600Z digest=sha256:7effe277fc4d296a15521175279b0268046569d501fc12c59541279b3c866430

Observation 7e426203-a85d-4cc1-ad08-dd73d4d0cc90 · outbound

This paper cites Optimal Hardy inequality for fractional Laplacians on the integers.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Optimal Hardy inequality for fractional Laplacians on the integers

Reference 358

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.750830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.750830Z digest=sha256:fa96c447d2910b3ca9edc9c7594c9edd11f553dbf18a5abbf7c540a38e108d5e

Observation 7dab6edd-2902-4bfe-b71f-65d6b39ac396 · outbound

This paper cites Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon

Reference 1990

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.726361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.726361Z digest=sha256:1b0a9ec89472bb2b2f82838967453288b6bdebc612b83f59bdbeb4158bfef53f

Observation b5a5ea0a-0d32-4455-b008-6dea8e54073f · outbound

This paper cites Optimal Hardy In- equalities for Random Walks onZ 2.

Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians Optimal Hardy In- equalities for Random Walks onZ 2

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-07-31T22:07:58.740572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T22:07:58.740572Z digest=sha256:8dc6e65f8205407133fe44fef0f4908de720a28da0412762e21e11556de2dfd2

Pith citing papers

No inbound Pith citation observations are available.