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Paper Citation Record · LEDGER

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.09538.

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

pith.paper-citation-record.v1
1908.09538 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:24:01.560906Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0653a4b6-7cfb-478b-b67d-106a7272e386 · outbound

This paper cites Berestycki and F.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Berestycki and F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.795464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.502651Z digest=sha256:3da1af0d4ac0f835779c1f0a3f8c2cf6a6810ebc92c932ead1f4e4072e12e944

Observation 39470ce6-10ff-44b6-a859-094228e7019b · outbound

This paper cites Berestycki, F.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Berestycki, F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.783411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.507079Z digest=sha256:475abc18f90cb71f7164288832a8bfbc49c8c15b6e30396547c29cfb815ae0d2

Observation d684f91b-a92f-4740-9ba7-f59e3adbc8f2 · outbound

This paper cites Berestycki, F.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Berestycki, F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.771410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.510237Z digest=sha256:b6f7e0c3a9591cb33456e86b075464a3f123e8ab8aa85525d48b97b83db8c412

Observation fdc40a8f-81a4-49c2-bb0e-8a8cbaa9f241 · outbound

This paper cites Berestycki, F.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Berestycki, F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.758767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.513682Z digest=sha256:d56e64871dc2c822a99094ba7c63bb1725b0a98522d061e026777a51257ebe85

Observation a397d499-f977-41d2-b018-85e332c296bc · outbound

This paper cites ElSmaily, F.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed ElSmaily, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.746688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.517278Z digest=sha256:923671adbfe46cac27bce3facd97ba8858d30c9bca149d4e928a3ebc65e8d93d

Observation 1d6a399f-9450-40f8-8f4f-b9ad43e395b4 · outbound

This paper cites Fisher, The wave of advance of advantageous genes , Ann.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Fisher, The wave of advance of advantageous genes , Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.735216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.521089Z digest=sha256:0f31d05a8bcadfe7885bfccce1ce2b6c68295227b001a7529b15b4b22171dacc

Observation c8b57347-096c-40b9-b268-13c366d7cae2 · outbound

This paper cites Ito, Analysis of the minimal traveling wave speed via the methods of Young measures, SIAM J.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Ito, Analysis of the minimal traveling wave speed via the methods of Young measures, SIAM J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.723212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.525207Z digest=sha256:79dfabaabbe895a0dfa536656ee6407de0b1e19975de59ec9921ba9586951e50

Observation cda560c3-c5bd-42d8-a09d-654da8451510 · outbound

This paper cites Kinezaki, K.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Kinezaki, K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.711067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.528901Z digest=sha256:149bf3c32e4faed8ea11a4695fccc74c3a8e059ba679635a42702779ae1a53f0

Observation d9e672f6-53d4-4de7-b1de-4eb356d58046 · outbound

This paper cites Kolmogorov, I.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Kolmogorov, I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.699101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.532179Z digest=sha256:0044b67a0e41068d48ac0e1d553deb82dbfb3ef3f6cbc074291c00f4b4b435c2

Observation 2cb63fe0-4ff2-45f0-8022-eda6c9220ace · outbound

This paper cites Liang, X.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Liang, X

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.686720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.535684Z digest=sha256:79dba9c4c799c9277ca49b837cb976909d92f8f0f2fdda9c11ea6b38742e5ae0

Observation 0cad9052-62da-43b0-a29e-f91955de27ed · outbound

This paper cites Liang and H.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Liang and H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.674315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.539288Z digest=sha256:ff34d81bd3494673084627d4b9462109301bacddab5b5dd988c8425a1fb6d47f

Observation 925f98bf-dc8d-4aec-a485-ab1b7fffbc9e · outbound

This paper cites an unresolved cited work.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:01.661431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.543012Z digest=sha256:9a59cf8e49eba0dcc23ccdd5bdda7bd4a7744747759eaf2d5b225f004fc4d404

Observation 2e39f47e-7437-455a-9fd7-a2ab9c9c2437 · outbound

This paper cites Nadin, The effect of the Schwarz rearrangement on the periodic principal eigen- value of a nonsymmetric operator , SIAM J.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Nadin, The effect of the Schwarz rearrangement on the periodic principal eigen- value of a nonsymmetric operator , SIAM J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.647261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.546657Z digest=sha256:2a36561e48491746919ec215a330a027bf03fd63bf02e8ba9cc8961ae3e904b0

Observation c2f17a1c-b27a-46e9-a19f-c266262dc4ef · outbound

This paper cites Nadin, Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation, European J.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Nadin, Some dependence results between the spreading speed and the coefficients of the space-time periodic Fisher-KPP equation, European J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.634086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.550280Z digest=sha256:1ebaecd9b5c71afbe864777ab2fc5122045d171322f2d3c5968e7f52e3c9bf96

Observation 7a8d5e6b-69e5-4e0d-83a0-dbeaf94834e9 · outbound

This paper cites Shigesada, K.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Shigesada, K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:01.619550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.553845Z digest=sha256:c26b1ea6b6d728ab87c31079ce8358ec71f084a64f105d3d01ab509b8dfc16e5

Observation 943b131b-2185-4607-baa1-47507bd44102 · outbound

This paper cites an unresolved cited work.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:01.605887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.557314Z digest=sha256:96290c667d0ea55ee270259ad9e3e896c5b2a62c08a849214d3645a7d9f6347a

Observation caf0d910-d526-4b34-878c-f3690ca74975 · outbound

This paper cites an unresolved cited work.

Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:01.592193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:24:01.560906Z digest=sha256:5986ad5453e224ae03badd2262ad15fa1f6980301f8bcf78bbcecaf8d4ce7977

Pith citing papers

No inbound Pith citation observations are available.