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Paper Citation Record · LEDGER

Propagation in the Fisher-KPP equation with Mixed Operator

As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2508.21151.

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

pith.paper-citation-record.v1
2508.21151 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:44:02.577572Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82b2e8e4-b903-41ef-9e22-56552f63156b · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:10.179932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.039536Z digest=sha256:fea1dd88f4f6735d6c066dcc98b8bea4d37f7589ef3952cb1469e7a07c7783c2

Observation 116ad9ab-b18b-4105-9588-90cfd7bb350b · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:09.909692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.138207Z digest=sha256:bb0d7f810c1e5ac6217aa8f18cf00f35136817a06b639030634907203f7532c3

Observation e3f9d844-0852-45d7-ba45-2ae9bf3e85c7 · outbound

This paper cites Ashok Kumar and N.

Propagation in the Fisher-KPP equation with Mixed Operator Ashok Kumar and N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:09.640800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.279708Z digest=sha256:506170b698337a3c95bb1f9ace2c1457bd10aaf639ae9cd2aa354c871e78eda5

Observation fbbb8160-c284-4736-ad29-0e522653ba7a · outbound

This paper cites Berestycki, F.

Propagation in the Fisher-KPP equation with Mixed Operator Berestycki, F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:09.340075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.423637Z digest=sha256:83fc09dc46b714d06e44ba37be21fb41056f3c4bf3865fa97215ff4f9499ce1b

Observation c8bef542-3d01-4da9-a432-32ff793b98c5 · outbound

This paper cites Biagi, D.

Propagation in the Fisher-KPP equation with Mixed Operator Biagi, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:08.966543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.559655Z digest=sha256:e96c4be5b4718d5a0b07b87af011e5597300feb6b3c8aeabb33d1944214afcb4

Observation fab6e886-d560-445f-a417-37cfcaa9517e · outbound

This paper cites Biagi, S.

Propagation in the Fisher-KPP equation with Mixed Operator Biagi, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:08.719281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.686195Z digest=sha256:046e25f4adb67d9e40c0426c5e3732dd03778516312e2e36b32bb9757c4dfedd

Observation 71780e2b-b0ad-43dc-9e03-6319af28738a · outbound

This paper cites Biagi, F.

Propagation in the Fisher-KPP equation with Mixed Operator Biagi, F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:08.461142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:43:59.795896Z digest=sha256:e000b888f4e095d7261cb6bea2343061c2d6157a3d3f8dad2fdffc13fc9c557b

Observation e5e5b1cb-c7f0-4640-8c74-64833153f389 · outbound

This paper cites Cabr´ e and J.-M.

Propagation in the Fisher-KPP equation with Mixed Operator Cabr´ e and J.-M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:08.213739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.000772Z digest=sha256:567abc9bb5c53fa76d85dd00ca134685127fce7c74983ec4b8daca95f2b6213a

Observation a2c6e872-6a79-44f1-b902-a9441f31c49e · outbound

This paper cites Cazenave and A.

Propagation in the Fisher-KPP equation with Mixed Operator Cazenave and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:07.941587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.156585Z digest=sha256:d2dc38cc979916382909c89c18dce8a16bda8f2cf6bf20986efb55bd771daf24

Observation dcc3bdeb-a76d-413c-bbd1-5def8d301fc5 · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:07.612230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.278959Z digest=sha256:ba9dcbf84dfd27fb2d52011619394e6778fd440ccc72ed67a66184e42b8467d0

Observation 1663af84-f816-444c-ab8e-f8dbfbd7218d · outbound

This paper cites Chen and T.

Propagation in the Fisher-KPP equation with Mixed Operator Chen and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:07.317849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.465546Z digest=sha256:e813b41d3a35c80b52569fdc910e4b344653f84f54f8fe0b9709eaa0b9825cbe

Observation ea6c7aa2-06c7-467f-aaff-e4d82d6fc73d · outbound

This paper cites Coulon Chalmin.

Propagation in the Fisher-KPP equation with Mixed Operator Coulon Chalmin

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:06.957752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.741896Z digest=sha256:042efda2666ee858d7a25daf5927803b1cc50d5926f687bf06a5e8341146c9ca

Observation 04d427e2-5631-4771-b661-d3b8186df0ec · outbound

This paper cites Dipierro, X.

Propagation in the Fisher-KPP equation with Mixed Operator Dipierro, X

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:06.720680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.816196Z digest=sha256:0652f76b047c0357fcfacb6b465f0410b840e2138ecb19fa9c9ed71b41663761

Observation ab6e8ad5-a455-431e-8d7e-bdd4eda3f489 · outbound

This paper cites Dipierro and E.

Propagation in the Fisher-KPP equation with Mixed Operator Dipierro and E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:06.400547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:00.933416Z digest=sha256:051a97595298a5154ade787ddf052e512b4ba4356623686082a186f9bdf659e7

Observation 80d75249-edee-432d-a4e9-8ff8f77d7815 · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:06.109549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.073490Z digest=sha256:3de05583c093e3440676a6c704db63cc070421ebb565eb6121f3cc5af1afae2f

Observation 80549706-16c4-4771-9514-6fc5c5b281a4 · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:05.794703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.234262Z digest=sha256:87ec9ed651508ac1d37a0fe26b89bd71f8720bd91318e5d8485f228e212d2ce0

Observation 141a36ea-47de-4e7b-820e-823e720acb40 · outbound

This paper cites On the nonlocal heat equation for certain L\'evy operators and the uniqueness of positive solutions.

Propagation in the Fisher-KPP equation with Mixed Operator On the nonlocal heat equation for certain L\'evy operators and the uniqueness of positive solutions

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:44:02.820896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.432871Z digest=sha256:e1d53c40feafb8f4d199363197a09a04b041782f303a39d9f7ab9479fb14ea81

Observation b1413b71-7492-48ac-b107-164a0aa58e6a · outbound

This paper cites Grigoryan.

Propagation in the Fisher-KPP equation with Mixed Operator Grigoryan

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:05.461347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.606862Z digest=sha256:8ccbd6cc447440d4ccde837d988df8d2d349a88b7c8062b182f403abe686a255

Observation 49a49453-7c57-4d40-8350-864fd85a5ccf · outbound

This paper cites Hamel and L.

Propagation in the Fisher-KPP equation with Mixed Operator Hamel and L

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:05.107183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.709492Z digest=sha256:6fad49f26a5ebe496ff60ea1be7cc485aa9dc20091373fa19ce8ac2d344bd80f

Observation d3bbe6d3-b562-42e1-9be3-f03bf5bfd28b · outbound

This paper cites Kolmogorov, I.

Propagation in the Fisher-KPP equation with Mixed Operator Kolmogorov, I

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:04.800725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.836113Z digest=sha256:b0d9ed2ce7eb04ee5509f46b8e61bb943e0ec94266f12043f6fcedc24dbf6870

Observation 09c60e22-b680-4178-9181-6056e13d76a6 · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:04.421216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:01.955887Z digest=sha256:f3bc05bf3b0cb228bb2cd07770bdb0a36ab68fbea6cb426fe250246a0fe88c83

Observation d1feec9c-13ee-47fc-a1ba-3a62a3f51926 · outbound

This paper cites Roquejoffre, L.

Propagation in the Fisher-KPP equation with Mixed Operator Roquejoffre, L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:04.121658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:02.145349Z digest=sha256:66aebc4d2d8b70b6791c0a38581cbccaf67bd5248207731db650212a8db95739

Observation efffcf46-0fc1-412a-8eac-a6bcb358c427 · outbound

This paper cites Silvestre.

Propagation in the Fisher-KPP equation with Mixed Operator Silvestre

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:03.748813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:02.253993Z digest=sha256:13d8d15b17273c82c362eb6eb650362cf164aad2ef4ffaa56468e0b46d2311b5

Observation 02a3be78-83e1-409d-97c0-a1b39f6fff2e · outbound

This paper cites Song and Z.

Propagation in the Fisher-KPP equation with Mixed Operator Song and Z

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:44:03.448498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:02.378005Z digest=sha256:3f9bfb0a657e8439be1c578a75d277ebb5ebafe0f604671947e8cb50ac1f3cbd

Observation dcdee77e-3e86-4236-8d56-fd025470db6d · outbound

This paper cites an unresolved cited work.

Propagation in the Fisher-KPP equation with Mixed Operator Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:44:03.134465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T14:44:02.577572Z digest=sha256:84bd85c563308ee8784bf885f99afec6e548911e3b0dc94303c224961595898f

Pith citing papers

No inbound Pith citation observations are available.