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Paper Citation Record · LEDGER

Propagation in the Fisher-KPP equation with Mixed Operator

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.039536Z digest=sha256:1c807438c984394ce7427682154a0fbe2ba4f018cd023d8fe51cf41074b94398

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.138207Z digest=sha256:eae151cb09df43fd76fd24a93ebe5b18fe46812b55300f4ccde4183ffa7e47c4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.279708Z digest=sha256:be6b584f8726c8f4f5825ca3100b95cadd4635dde64b4d0eac2ed94ff3e0b917

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.423637Z digest=sha256:adc9e6d8fc19055af31e0cd413e310a7fe9cf765bdd49701710185e338126664

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.559655Z digest=sha256:efdc94d8c6ece26d8de40e3b7fa384ebc5eb0a61d4340969fd44dfa2185132fb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.686195Z digest=sha256:7452c5ee69a671ace35a56e8f7cba9c5e9c71d17ddaa5d10e09730f9afe81974

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:43:59.795896Z digest=sha256:704a2abcc55b4a1697887fdaeb1dffbcfa52540649f4ea6e13ddca719ce68ae8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.000772Z digest=sha256:134a4848cade7f90652b714a68aabf937318414800c466926a64900ad70b2581

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.156585Z digest=sha256:1339121d2e392628fd0106869db0c33dc75c60b7229451894bca2cd7b9c97cbc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.278959Z digest=sha256:603fa82fd006686659027765c2eadd0d9a4923be481e110c7ba519a039ce68db

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.465546Z digest=sha256:37f4c07e15a23f426076876c9a73fcd8dc816d97e1bd56c7a898e68be949fe91

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.741896Z digest=sha256:2c27cf4bea878649ce944547e665ca27e5c2690c63abc6ccdd1fcec455f67ec7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.816196Z digest=sha256:09bbcd87777c9a06f2c1c664c922db330cab6bbaaf105f5cb01e2b1f66d16f58

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:00.933416Z digest=sha256:abed6a0403593c257e8b9479d18585c17d6d18cb876b5e6ac13993db4ff04b30

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.073490Z digest=sha256:6513d63ae906a0cef54d85e81144a6b30d5832bb8023a94a1bac936f43036b05

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.234262Z digest=sha256:c425dd417d6c39fbf422f4dfa6b2fcc32d4fa7b7b44d75b05cc416d460928335

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.432871Z digest=sha256:eefa97aac71eba849635213e438e6df867513ee5794095a69f6ad57724d1c301

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.606862Z digest=sha256:41f28641f0f353cfb0c9aa093d53e8959c2288f16ef64733791d83ea128eed05

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.709492Z digest=sha256:923b7b7897e8ef3802c47595aad6b50988401fe1556caf00661264f77c319014

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.836113Z digest=sha256:92bf9513f0b4a0db19aca95bb92f9b7124f771f56ab041c16352179bbd6d1a1e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:01.955887Z digest=sha256:594f16738515fcae314fdb04138ec34f56b208cde972dda022fffe48c9793771

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:02.145349Z digest=sha256:e85ae5662d5e09f37c92311b80784ef433c5e55f098dc4c126dbb5cfb3654c7e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:02.253993Z digest=sha256:658acb8f6eacffd5b939253d5ab553143036f276b05275a7cc34ce9b4d270e67

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:02.378005Z digest=sha256:9d628c685fbc86f467bebacc502dc9d653492d6637449c62d8f6bc7c11d82523

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T14:44:02.577572Z digest=sha256:5e15a1268d18d2944d4ad8d54b20ce6db03c58943e32a9eafc1e6efd472a0058

Pith citing papers

No inbound Pith citation observations are available.