Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:10.592579Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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.
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 2026-08-07T06:34:17.273281+00:00.
Observation 9576d282-5e44-4126-9ec8-a7b20ffa626b · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 7015de3a-ec0b-4a0e-8f7d-93c6ae5001b5 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 8ce6daf9-21d7-4abd-a8fa-cca96570a5c3 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation c0aec62f-1563-4490-ae25-b3fb70fc804d · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 4f6f86fb-84bb-437d-a089-86edfadd10b8 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation 14ccaa04-1168-4ad2-9702-28b4c5f17d72 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation dfb8c118-1ce8-4782-84de-db450d9fdc54 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation e4f01e21-564e-4e9c-b109-d798289d56b1 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation 95e95876-9330-4961-8317-19760c3c5478 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 6646367f-f8d5-4ed1-8491-c166be5d1218 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 3bd961f1-0ed6-43d7-a72c-bf7e909bd3ee · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 072364b1-2c78-41c7-8402-accece5a2738 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 5fda63b5-bfc0-4f1e-a468-1bf36c15e7cc · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation ab54d15f-cb46-4f62-acec-3416b64ab4b9 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 3626e9ab-2321-40c9-b959-7439356f30fe · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 8f867940-e58c-47df-a9af-6c3b99557689 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation 016e3ea1-765e-4882-a801-29889a2a5d99 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Observation 7e37397f-4eac-44ad-be2c-b7f684af0fab · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
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 2026-08-07T06:34:17.273281+00:00.
Observation f7d6c3cf-5933-47f5-95d3-c40a00fcab93 · outbound
This paper cites 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 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.