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Paper Citation Record · LEDGER

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation

As of 8 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2506.03565.

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

pith.paper-citation-record.v1
2506.03565 v3

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:10.592579Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

50 of 50 outbound references displayed

  • verified exact0
  • verified fuzzy29
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f81d6ac-60b3-4840-9dcf-4a5d82bf2a5b · outbound

This paper cites Dobreva, R.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Dobreva, R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.619721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.338613Z digest=sha256:d598efc3623d98696036468dcd942e7076e4a204f62175eac0ca6f27ea6c0d36

Observation 9576d282-5e44-4126-9ec8-a7b20ffa626b · outbound

This paper cites Dobreva, R.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Dobreva, R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.602925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.410698Z digest=sha256:33e8da8a9b69be7f55fc5056d803e75f66c7012231e4b05a9b90349f1814b878

Observation 7015de3a-ec0b-4a0e-8f7d-93c6ae5001b5 · outbound

This paper cites Dobreva, R.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Dobreva, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.583049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.476895Z digest=sha256:73a6813a8171778c7017d2eea62b1d75bed02dba07ec71fab0ee55dc0496eebf

Observation 8ce6daf9-21d7-4abd-a8fa-cca96570a5c3 · outbound

This paper cites Gilhar, A.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Gilhar, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.567508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.583902Z digest=sha256:ac9fe555c37abd5e4d69c35e083176d72ceac52e4a270928a9456e138e5bd036

Observation c0aec62f-1563-4490-ae25-b3fb70fc804d · outbound

This paper cites Gilhar, R.S.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Gilhar, R.S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.553160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.646013Z digest=sha256:db253a2b8510c7f131770a26f51b91b8655c85deb25f47fd11988b639bcc9073

Observation 4f6f86fb-84bb-437d-a089-86edfadd10b8 · outbound

This paper cites Giordano, A.A.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Giordano, A.A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.537011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.752629Z digest=sha256:f9af7420c4011118268b7062ac94a3b8a129de1367cebe6e452c0312cdbe2eb9

Observation 23341e27-e835-4523-b920-020677a331d0 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.513854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.828279Z digest=sha256:e84c61b0ecd357a3bd32e79610b121948b1a06bfb6a540938059d47fb3b1da28

Observation 14ccaa04-1168-4ad2-9702-28b4c5f17d72 · outbound

This paper cites Horstmann, M.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Horstmann, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.494886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.891946Z digest=sha256:19874dc14eef9e6d05c7bf5711d188e52cb80b7edf76df7a771edfe7e4dbb5fd

Observation 82062652-cfa8-44a4-a648-f4bcef906a3b · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.477243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:06.998422Z digest=sha256:0132167eb8b6f85d24b37b8f0300562349ad5a1319596fac8ac68edc834e48cd

Observation dd64ccb4-2dc6-4079-b798-5f10d8e3a710 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.459546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.076701Z digest=sha256:f1d2215f2393e45385c71dfd07536144b799d60932089a0cb8da169aad53c654

Observation 8f2f681d-c6e7-425a-a0f3-6ee8f391078b · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.438065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.167019Z digest=sha256:4cb40762715353ddd7c4588acd832517a34b59b64f497d582b15dee06737d25c

Observation 9f3300a5-4e41-4c83-bd39-3fd5b9fb171f · outbound

This paper cites Kalabokes, Alopecia areata: support groups and meetings-how can it help your patient?Dermatol.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Kalabokes, Alopecia areata: support groups and meetings-how can it help your patient?Dermatol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.406891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.273630Z digest=sha256:ee20baa2283a1fcaf8bc19c2a90aba6407e5c7c66595e520921b6614cf0123ad

Observation dfb8c118-1ce8-4782-84de-db450d9fdc54 · outbound

This paper cites Kowalczyk, Z.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Kowalczyk, Z

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.386257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.345913Z digest=sha256:c04e616ba7500c14eba5381ccf5b3b4c73cf5565c6885ea22a8bfb9063c194a3

Observation 081f6ec8-2045-44ed-881a-72659b5826f2 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.368398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.444854Z digest=sha256:0fec1ff376b9d62bd8405c399029e7f4dbd37ba15e2bb3c75edd1ac1231d9c2c

Observation 9e049061-8bc1-4c94-bf34-ef1b3d45a86b · outbound

This paper cites Lankeit, Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source,J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Lankeit, Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source,J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.352894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.519704Z digest=sha256:1b7f5dab6eb9c47e073c65e50dc21ac1273562c7dd7489754d74744362c8eb30

Observation 0037e991-7cbc-4128-b14d-f7d0c1b64345 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:16.336270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.608853Z digest=sha256:b6c45ae1c3df4093fd34e3d14a85f4eb20b62268641058f39132b1db5889acf6

Observation 56dec2f6-da22-4ab0-9039-46e203bd0967 · outbound

This paper cites Gwillim, K.R Patel, et al., Epidemiology of alopecia areata, ophiasis, totalis, and universalis: a systematic review and meta–analysis,J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Gwillim, K.R Patel, et al., Epidemiology of alopecia areata, ophiasis, totalis, and universalis: a systematic review and meta–analysis,J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:16.235734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.689121Z digest=sha256:aef8b207f6d4812040960b9421cd8a271d87929364e993c0e852b67ac80df048

Observation 4e9c9eb5-37ab-4d75-9ccb-0a627905595c · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:15.993368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.773855Z digest=sha256:bfee32f5e9a669d59a735e28cdb85699c5c835d82552079063c2dc52de586899

Observation e5c0eeae-3d26-4c07-b51c-75a8183b2488 · outbound

This paper cites Nirenberg, An extended interpolation inequality,Ann.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Nirenberg, An extended interpolation inequality,Ann

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:15.755122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.851479Z digest=sha256:95b773bfea5085b93f1801fbcfa8430eca2887388f11ed297fdf1c6834c4af04

Observation d4053355-8a44-45b1-92a7-31a374d41248 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:15.567085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:07.928184Z digest=sha256:daa611f0082376d1d6d0707fe481b5cfeefe765b1a40a7269005b51d891a99fb

Observation 41a449aa-aa26-403c-a5d2-4b45dabba79c · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:15.433293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.068597Z digest=sha256:1425f9d8bc7fbe911d31d443f3a249fb261e859be82bbfa7c57b8800d3d14337

Observation 61d9a8d7-4429-4953-a814-51ac0e5f3e11 · outbound

This paper cites Simon, Compact Sets in the SpaceL p(0, T;B),Annali di Matematica Pura ed Appli- cata,146(1986), 65–96.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Simon, Compact Sets in the SpaceL p(0, T;B),Annali di Matematica Pura ed Appli- cata,146(1986), 65–96

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:15.241518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.171188Z digest=sha256:0e2a674a881f7732f42cbd6ee32a2c1bbb0883e874a3833640eef64a0df3d540

Observation 89e58ee5-b397-4d88-a330-e2c71987aef3 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:15.068728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.301726Z digest=sha256:60062c312102269e64b3082fbd2a029629e65584739caafb2bcab82ab800138b

Observation 900c2a9a-ff94-4759-9c22-49b4e9afa0de · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:14.882755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.409451Z digest=sha256:5ba9b8076a3856131a2587be01539f975ea979beafca9719ec6efeb5e03b7655

Observation 429eafd4-2c28-4643-929d-461a9fd99ca3 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:14.720982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.561557Z digest=sha256:bb2d10b5f186781c22bc304dfc221b5ec51bd4b6f0ae261ca2f87a6304bf8cda

Observation 62cb1fdd-e244-4967-a359-12b497f34393 · outbound

This paper cites Song, W, Zuo, Spatiotemporal dynamics of a three-component chemotaxis model for alopecia areata,Chaos Solitons Fractals,169(2023), 113223.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Song, W, Zuo, Spatiotemporal dynamics of a three-component chemotaxis model for alopecia areata,Chaos Solitons Fractals,169(2023), 113223

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:14.549751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.697252Z digest=sha256:13086fb46df6943049a9602da6a1d80288eb2ffa16e845234e880f41051045be

Observation 9a268d8f-9c7e-4b5b-bc4d-629b358b6f65 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:14.324409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.789809Z digest=sha256:823f512ba9eefc1a53843bb5428e9e0af6fb05d14d1b1da3d5cbdd525c2e824c

Observation e4f01e21-564e-4e9c-b109-d798289d56b1 · outbound

This paper cites Tello, M.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Tello, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:14.093438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.873757Z digest=sha256:b460bd3532e3216fc5330c5dbd3c9cdf895074411d069fc80a37833ae9dffcac

Observation 256d5e25-5c7f-4ff7-9975-7f832680382b · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:13.904057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:08.935367Z digest=sha256:6d33399d812506da543102506032de7abae071c3f8e452c65683d251a7ab6141

Observation aa450806-6e3a-433d-8608-4f00a32a4e3a · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:13.734115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.013738Z digest=sha256:a0e7461335b87fd86ba2da7a90e2074a5e726721ea38bea2906bb8e2b8875fc6

Observation 1bcbd7c4-2ec9-441c-96c5-853a4e2395e6 · outbound

This paper cites Winkler, Boundedness in the higher-dimensional parabolic-parabolic chemotaxis sys- tem with logistic source,Comm.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Winkler, Boundedness in the higher-dimensional parabolic-parabolic chemotaxis sys- tem with logistic source,Comm

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:13.617330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.104278Z digest=sha256:95f0f7b9ee66b97c7c622d1ed1274c07bda6d7b42675deeb0e0a43db9dd90d4e

Observation e614099a-e916-434f-af16-e0d1bd88ecc1 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:13.481077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.160587Z digest=sha256:f7f46f3bde0cce58df702e4bfae40c16ffc082acdf17c6d89e77b2c7482dadf3

Observation 3de5eae5-c706-4fda-b53e-cbc8060ce889 · outbound

This paper cites Xiang, Chemotactic aggregation versus logistic damping on boundedness in the 3D minimal Keller-Segel model,SIAM J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Xiang, Chemotactic aggregation versus logistic damping on boundedness in the 3D minimal Keller-Segel model,SIAM J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:13.285159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.240031Z digest=sha256:9eb6e3cf1a559471b1ea1dfcb7ddfaacd4b0171cd426369f58d95702daf1ee0d

Observation 5a1d8c3f-798a-436b-9070-6b6a3ea3112f · outbound

This paper cites Xiang, How strong a logistic damping can prevent blow-up for the minimal Keller- Segel chemotaxis system?J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Xiang, How strong a logistic damping can prevent blow-up for the minimal Keller- Segel chemotaxis system?J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:13.158608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.324948Z digest=sha256:ab8d218719d5a4285aef44804d7c9dbae9424d8f96bbd7ec0950a73477ee7e7e

Observation 7cb1968f-0474-4181-a613-ec5c09aacc10 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:13.023833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.412397Z digest=sha256:814ce73c806369ead25f4373f20cf5a02e21bdbd41fde659859976e4b173f19b

Observation 95e95876-9330-4961-8317-19760c3c5478 · outbound

This paper cites Xiang, J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Xiang, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.749019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.465897Z digest=sha256:349a66704ceb37175ca5cac74a3cba053d46c7db56966d7b5689bd4127b0e2fc

Observation 6646367f-f8d5-4ed1-8491-c166be5d1218 · outbound

This paper cites Zhang, S.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zhang, S

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.564784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.534199Z digest=sha256:6b78ab2c67210968a756ada42395d7a41833b0c19e08b4ef8975b62a3dd526d7

Observation 3bd961f1-0ed6-43d7-a72c-bf7e909bd3ee · outbound

This paper cites Zhang, S.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zhang, S

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.435022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.617893Z digest=sha256:5f816c62721e96ccd62d0c10f1f9b9c20b7a42ab05753e1dbecca620b4392a72

Observation 072364b1-2c78-41c7-8402-accece5a2738 · outbound

This paper cites Zhang, S.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zhang, S

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.305420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.723834Z digest=sha256:aa8a708f4ce886a8793a8f111360350dc1aa795bf06aa5a64e4af1bab32b1857

Observation 5fda63b5-bfc0-4f1e-a468-1bf36c15e7cc · outbound

This paper cites Zheng, Y.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zheng, Y

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.171249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.799089Z digest=sha256:e417e80b7542aeba2013f6d5d64c238423422258c58ba1b7fc3911cb867480ff

Observation ab54d15f-cb46-4f62-acec-3416b64ab4b9 · outbound

This paper cites Zheng, Y.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zheng, Y

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:12.014226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.859881Z digest=sha256:1fad9ed7d9781401bd0adaaa4cdee1e845dca3a786de7ce1d1cf9b45a117a398

Observation 3626e9ab-2321-40c9-b959-7439356f30fe · outbound

This paper cites Zheng, Y.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zheng, Y

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:11.888703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.942610Z digest=sha256:efbe1a37f099f9769ea5bbe6c8719d9aa7857e68af5b3af898adf1eebcbc6060

Observation 8f867940-e58c-47df-a9af-6c3b99557689 · outbound

This paper cites Zheng, Y.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zheng, Y

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:11.741430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:09.998077Z digest=sha256:32252939175e238fbf1a2c335cb96b7c5ccef3e9ba0870cd9795950c8c007fbd

Observation 5b8d69a4-ab04-45df-9b6b-f0e6bae2a0cd · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:11.626165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.089280Z digest=sha256:cdce022119055747874a7331fcc69eaaa6330393bc583e2bc1bbfe1abafc3fa2

Observation b5291a2f-f9b4-44f0-9265-a0c461f088c6 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:11.502089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.163566Z digest=sha256:41ac817e3f21669b2478ef00e1265829a07bf63159f3750a5000c4003d457e30

Observation 016e3ea1-765e-4882-a801-29889a2a5d99 · outbound

This paper cites Zheng, J.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zheng, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:11.379607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.249017Z digest=sha256:3ebb8fb87fd48420ef1dd223c95371d3e89de51a4b0d557ab484a1a27d3ca089

Observation 7e37397f-4eac-44ad-be2c-b7f684af0fab · outbound

This paper cites Zhang, L.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zhang, L

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:11.250704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.332527Z digest=sha256:cde598dd8432b3fa109f16920ad9d3b652706d1ac0a3b3c50ec19e604bc68504

Observation adf9d20e-fe57-4949-8cda-29deed2d7ae2 · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:11.123060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.409454Z digest=sha256:8de5c293d80c79e2f371cbf15651e33c383a15c2e24ab0b41d5bdbc46eaddb37

Observation 0c194977-42e6-4b75-9e77-efec29d4587d · outbound

This paper cites an unresolved cited work.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:12:10.934756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.501712Z digest=sha256:dbc02eceaa6275fb5f445235b8ef53ed6b66725d1d6f12730b8c14c9554a1394

Observation f7d6c3cf-5933-47f5-95d3-c40a00fcab93 · outbound

This paper cites Zhang, S.

Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation Zhang, S

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:12:10.794450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:12:10.592579Z digest=sha256:508891d1ee8ac238d89e3d39d219d58cac38de4cdbdef183584129a9253ccfab

Pith citing papers

No inbound Pith citation observations are available.