Pith. sign in

Paper Citation Record · LEDGER

Gradient estimates for Leibenson's equation on Riemannian manifolds

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 3 inbound Pith citation observations for arXiv:2506.07221.

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

pith.paper-citation-record.v1
2506.07221 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:48:48.893181Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:23:45.579203Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T10:37:45.096677Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff0e95cf-17b6-4fd3-99f5-d37b14b2b43e · outbound

This paper cites an unresolved cited work.

Gradient estimates for Leibenson's equation on Riemannian manifolds Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:48:52.785383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:46.950720Z digest=sha256:121cda0b04a3b2dc5c979c524d49889597637220ca2a0d4cdc75e3a4c2427df0

Observation 3aa69997-666d-40a2-bd7a-afe3e75946d0 · outbound

This paper cites Chen and C.

Gradient estimates for Leibenson's equation on Riemannian manifolds Chen and C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:52.579197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.042313Z digest=sha256:173126d9a1c4dd86fa5895e0e6868ba3a306d56b49d137fefeb1761dcca3f3ef

Observation 8f71bd3a-8f21-4bd0-be45-0690fb2b64d3 · outbound

This paper cites an unresolved cited work.

Gradient estimates for Leibenson's equation on Riemannian manifolds Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:48:52.290943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.169067Z digest=sha256:8c4184b592b34816c2722860798bf8b9602cba43b7f895d25e0401b9dc28e97f

Observation 31eb6450-1d70-46f2-aa2a-2f8b80b2c505 · outbound

This paper cites Grigor’yan.

Gradient estimates for Leibenson's equation on Riemannian manifolds Grigor’yan

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:52.080059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.267921Z digest=sha256:3b599dbb3a3a1272af76d696f03f959f2b5273f804871f71c94d1d041a20d8ae

Observation d18cc5d3-6043-41fb-bff1-924140364b53 · outbound

This paper cites Grigor’yan and P.

Gradient estimates for Leibenson's equation on Riemannian manifolds Grigor’yan and P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:51.813245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.425569Z digest=sha256:e17052ce636367cee8c1e2d23eee816903d442d26f1efd5492e89cff98d335a7

Observation 196e1362-be91-46c2-8be9-5dddbf33dd4e · outbound

This paper cites Grigor’yan and P.

Gradient estimates for Leibenson's equation on Riemannian manifolds Grigor’yan and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:51.572342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.532774Z digest=sha256:09dbeea74b8d183987eabf03e9453c838e1e287da41966590820dfe210f09136

Observation 97ae5906-a012-4865-8cfa-ce73bb1717c8 · outbound

This paper cites Grigor’yan and P.

Gradient estimates for Leibenson's equation on Riemannian manifolds Grigor’yan and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:51.313557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.668786Z digest=sha256:6130b457fbb507fdc504a4ce721712da465fecbdaad3432a678f6810e2b346c4

Observation f5b2ac10-db1d-4a4f-9071-c4880e33482f · outbound

This paper cites Huang, Z.

Gradient estimates for Leibenson's equation on Riemannian manifolds Huang, Z

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:51.041158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.745885Z digest=sha256:3b8c5c479a916392c09b7db25415e47b93b56f12f81a1cabd02934c804dfadc7

Observation 2faa3b39-8e73-4215-89e8-26a442612d54 · outbound

This paper cites Huang and B.

Gradient estimates for Leibenson's equation on Riemannian manifolds Huang and B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:50.768246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:47.888660Z digest=sha256:8ecf326287be7deae5699d8d98330a8d35007ab78d0effe1931585cf89eb025a

Observation b75f5ed9-675f-4dbe-b297-12324ba39758 · outbound

This paper cites Kotschwar and L.

Gradient estimates for Leibenson's equation on Riemannian manifolds Kotschwar and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:50.533409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.021951Z digest=sha256:5dc70edcd7df664cff399ed68c2455f4897baad60a60c3ece29662113c4cb2e3

Observation 00cb7255-c17c-480b-a368-6306267b95ef · outbound

This paper cites Li and S.

Gradient estimates for Leibenson's equation on Riemannian manifolds Li and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:50.282560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.147374Z digest=sha256:21f0c91a9aed6d5d86cdedcc3c4bd84de81b18e01f77b8fd9566fef62a944738

Observation f73ccecc-3949-4be7-a39a-cfcacad6aafb · outbound

This paper cites an unresolved cited work.

Gradient estimates for Leibenson's equation on Riemannian manifolds Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:48:50.068285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.255325Z digest=sha256:fbe925823dd2e46393f3c40b0ccc243f331891448371f0d51bf5f048fa662269

Observation 37060827-610c-4f7d-8f9c-1daf97fcce19 · outbound

This paper cites Global existence for a Leibenson type equation with reaction on Riemannian manifolds.

Gradient estimates for Leibenson's equation on Riemannian manifolds Global existence for a Leibenson type equation with reaction on Riemannian manifolds

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:48:48.377345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:48:48.377345Z digest=sha256:d5daf823c420a2a3d409da311648872c8b79eb7fdd3073da78ad7fc149ca8b9f

Observation ae496988-a9bc-4389-81fa-d9047ed7ef2a · outbound

This paper cites an unresolved cited work.

Gradient estimates for Leibenson's equation on Riemannian manifolds Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:48:49.832680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.496394Z digest=sha256:3180cbaabca6246f46271201c89c8e5922b2ed87e206725a6c39ad7583cda269

Observation 18e98319-817b-482b-b1e0-b879d51f5c6a · outbound

This paper cites Saloff-Coste.

Gradient estimates for Leibenson's equation on Riemannian manifolds Saloff-Coste

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:49.566372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.615463Z digest=sha256:4abe77ada835c6b18cdbff8c297a2f4221951b8bba92b61a51a482ce0b4b3d2e

Observation 56d9c43b-9a27-40d5-ac8c-da40c75ee160 · outbound

This paper cites Wang and L.

Gradient estimates for Leibenson's equation on Riemannian manifolds Wang and L

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:49.358295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.738516Z digest=sha256:e2e8497db91e4be708b2ccbe50ba53bf200a0964164db09c52b69ab9d71c1b2c

Observation a9b45d90-02d9-45bc-9cce-ef26d44fee53 · outbound

This paper cites Wang and W.

Gradient estimates for Leibenson's equation on Riemannian manifolds Wang and W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:48:49.132508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:48:48.893181Z digest=sha256:0cbf862e87f9cf3e090e656dfd30d4413617816f8151e016ab8cf673d7c905f8

Pith citing papers

Observation f479ebe9-db59-4caf-ac1d-eafc0f121657 · inbound

Existence results for Leibenson's equation on Riemannian manifolds cites this paper.

Existence results for Leibenson's equation on Riemannian manifolds Gradient estimates for Leibenson's equation on Riemannian manifolds

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-16T10:37:45.098859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T10:32:59.911461Z digest=sha256:ba25d48eecf0db284087f10ca7d570f33188131175cb2bcbfe9c2a85c8866963

Observation 590cb3ee-d99f-4571-9a84-dcf5717e7137 · inbound

Existence results for Leibenson's equation on Riemannian manifolds cites this paper.

Existence results for Leibenson's equation on Riemannian manifolds Gradient estimates for Leibenson's equation on Riemannian manifolds

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T07:23:45.579203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T07:23:45.579203Z digest=sha256:11ac5cf3585cb025786e2cce6dd67f1546271fd3bacf32a2ad10116fc4997707

Observation 4de1a8ca-27b7-496a-85fb-f2ddfcf88994 · inbound

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds cites this paper.

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds Gradient estimates for Leibenson's equation on Riemannian manifolds

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:51:10.687116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T07:52:13.825135Z digest=sha256:08728e78f4bcdf83595c6cc07fd6a885385b90dae3e839c33c87fce67b47ae38