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Paper Citation Record · LEDGER

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.07485.

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

pith.paper-citation-record.v1
1908.07485 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:28:00.360242Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

43 of 43 outbound references displayed

  • verified exact3
  • verified fuzzy25
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d72c8624-444c-4ff2-bba7-3a215906211e · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:28:00.146251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:28:00.146251Z digest=sha256:3fbf8ffdcaa88820163814ebdf1f333f7e8be92739fc26fe7553a4a7fa557fbf

Observation b5d519e3-3530-4c21-b6a4-60c48957e325 · outbound

This paper cites Blanchet, V.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Blanchet, V

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:01.049018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.152379Z digest=sha256:482b1125768cefb8adbb4f5909fc67861b274fd3945c9d2581f24191959ee30b

Observation 5e5a20cc-0fb1-429c-98fe-55a2eff951f9 · outbound

This paper cites Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:28:00.447505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.158390Z digest=sha256:f6a54450b294cfcfcb131e28b3a380d0b3cead81295151360c02a7b3933ba864

Observation 8a9d5131-8c78-4796-96c5-221ec69d6b1e · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:01.033289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.164608Z digest=sha256:2e33ab72c0638faba35831060aee577354226828da142c861d7d63188ac08ee0

Observation 66d0427a-f9d9-458d-8047-36a6a5888565 · outbound

This paper cites Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:28:00.424358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.170907Z digest=sha256:2bbd8f518445c47844ef9ed1e1e780c8c2e60d7f650d5d1ab137a0d3ecc4635f

Observation e8092b69-db64-466e-8be5-048fe9ab4fa1 · outbound

This paper cites Davis, P.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Davis, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:01.017963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.177530Z digest=sha256:55911cd721f90905e63d130532adb296906d6da45d1c02147e0cf965b878cdf0

Observation 7890a170-1f58-4b67-8bbc-3af196e41c8c · outbound

This paper cites Deng and T.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Deng and T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:01.001355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.183816Z digest=sha256:27779a8553f98c3ec8899ebe26045b7c5d0dd418dbf8805d5ebdf3c9c34abc89

Observation 513c4b14-a27c-4f74-989c-61c3e6467357 · outbound

This paper cites Guo, J.X.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Guo, J.X

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.985442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.188791Z digest=sha256:d3562a8a2df0a923236f07930a7ee2239b0bf67ddaa9370870dc6753d0b103d5

Observation c4871b3d-f788-461a-8247-41a7f617f864 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.967074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.194466Z digest=sha256:0b5ceb6172da4fd024a9119edc4b11498a88c3024aa2fdf1c935e6c7c4c1cf69

Observation a5c24775-6aae-4a43-b5a7-e2c34516e677 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.951267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.200161Z digest=sha256:ed69dca4bca3e5c74a4519190fc2f50a4195d03b5fd63c437802dafc5cc549e6

Observation d91b63e8-f450-483a-8806-29f8c802cb58 · outbound

This paper cites Hou and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Hou and Z

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T12:28:00.399995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.205295Z digest=sha256:8e3fe0ab3cf0094d2b71a7c16084eb937434f5685408789f08becaa2ef77af7f

Observation 0d1c54c6-58b6-41c0-9ffc-3763755b91b7 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.936566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.210214Z digest=sha256:f29207f9daaa9b346fc66b638168dfc408dc120737a9261cd1c7aa50f9ff4f86

Observation f46be7a2-8d68-4865-9f63-b2f82470751f · outbound

This paper cites Jin, J.Y.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Jin, J.Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.921874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.214928Z digest=sha256:c715185b69c3f6eaf6823b79acb735d336c9214a1838d83d3bcc34b63d24d368

Observation 1a2eac7c-29e1-483f-a62f-bacf3d6ef9ed · outbound

This paper cites Kalinin, L.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Kalinin, L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.907151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.219716Z digest=sha256:1d8036559959686a28a9ce055409e2cd8c7de588a5bd6602e03211e70014d98d

Observation 9c9d359e-59f6-4cac-9f42-555811746560 · outbound

This paper cites Keller and G.M.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Keller and G.M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.891856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.224348Z digest=sha256:22a083e45c180e49471622774592005ec52c2c5caee9f53da768dd78e19c8a5b

Observation 6617c64d-0dc9-4419-a130-541c52cc8cea · outbound

This paper cites Keller and L.A.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Keller and L.A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.876700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.229167Z digest=sha256:6a2dc63b1a3169f43a54c5db78182c1b2d4eab9b4cd1e4fc6bec3fb8fc4ef3a7

Observation bf1c2ff0-5b93-4ee4-a953-1d5854f8ec76 · outbound

This paper cites Levine, B.D.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Levine, B.D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.861726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.233858Z digest=sha256:48d98d492b3428621d4dc5e37b6a42e6057c2b756f2b4c1999c734d5960ac559

Observation affa59f4-f1b3-42c4-8fcb-fcd6b667547d · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.846571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.238604Z digest=sha256:e55294a70c43e2fd363ad490dd0efc9564edb808fafdd5c5c92dcb6540d7a5e0

Observation c4180d29-75f1-4e92-8ac9-4ddcb23596b0 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.832486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.242980Z digest=sha256:98cf3a19e5128bf4c7d4fd8b562c99a63b2031e5e4d9a6ed86469e4e684f889f

Observation 52be386a-4155-4da6-97c4-6cbde2db6216 · outbound

This paper cites Li and K.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Li and K

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.817962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.247536Z digest=sha256:204ec7c5d67afa0c070f5aa86f06783d2d61ae807af9d15bc877e6d021dce761

Observation b7d4c568-1b5e-4b16-b108-8d6edb8db582 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.802590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.252504Z digest=sha256:3ad4181fef3073fcc86253690e78c7ef4519b17f3028e4d321f41f9d0228f592

Observation 70fb7398-de42-45b3-819c-41450141df52 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.788083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.257183Z digest=sha256:1d99e26c3cf7a3a85231605be2aacec0d197a030b180e4ea484105ed7c900b96

Observation 4bcf793d-21fd-4de2-9ccd-1074e63cf252 · outbound

This paper cites Li and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Li and Z

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.773505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.261753Z digest=sha256:ea69aafd6dd382d05cdd17be9d5aa227621a24573d52a21cdbcbb3e65a70548b

Observation bea33aed-fc28-4632-b903-c9436efd9d0c · outbound

This paper cites Li and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Li and Z

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.758261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.266518Z digest=sha256:2aef3c657a44bac0ce54ea565593f60e14bc7cf1e655c9a4f8a63a09bb259326

Observation c74ff6b0-17f0-432c-8a67-0d1be0afa528 · outbound

This paper cites Li and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Li and Z

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.743577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.271252Z digest=sha256:0aafb261ea761b8589837f9ed4652ec3d0cbf8cc7675eacf3ff66bbd32ce8098

Observation 43fe19d9-6bd9-4273-b24d-fc603043d711 · outbound

This paper cites Li and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Li and Z

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.728241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.276259Z digest=sha256:078d00f75b545a03805d78f2294818ace2057652b5dc9981ee62531ac455fe25

Observation 92ef9dbf-a2b8-41d7-8ed6-8a944c30608a · outbound

This paper cites Lui and Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Lui and Z

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.713304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.281287Z digest=sha256:32220a1990bd5ffe7f47f1787c9faf004e4822b5e230ca3ccfe37cc78f0fc915

Observation d3db032d-7573-4fa2-9ba9-c9f793eede6e · outbound

This paper cites Martinez, Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Martinez, Z

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.698269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.286102Z digest=sha256:a295928c9ffb12c92401812f701f1b44bce92831eb35d66646d2f0ab5cc2db1a

Observation e5c72322-0191-4b85-ad3b-7c562a6e0efa · outbound

This paper cites Nagai and T.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Nagai and T

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.683297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.291114Z digest=sha256:8e815b10ac9353999ffd37bcdb1408c5b4c433978d0e85f47454e5f5ed3c3cfd

Observation 9fc86328-8642-4225-8e4f-59a234824fdf · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.669093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.296026Z digest=sha256:aa959035fb03cd4f0c20f0270cff62b54120c8e14864118403225fbc3682888e

Observation 44c61fe6-7a11-4e28-9d3e-9bccb64ac1ed · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.654682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.300889Z digest=sha256:7ed48a9cecd9a9f908175037b9350da029e847d1c44e2da755bfa2192d4e24df

Observation f4072e3c-2102-43f8-a9fa-628438724bf5 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.639163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.305840Z digest=sha256:da68ac30686ebe6f8b9d25952614980d115c69b9868337876cdc3ebba58f43ed

Observation 3de2e136-88f1-42f6-9d7b-4ac40def0b0c · outbound

This paper cites Peng, L.Z.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Peng, L.Z

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.624267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.311085Z digest=sha256:6d1977a67684fce2838f8c3cee46e33594cb3ff4f640e4d077bd75467103d641

Observation f08ef518-4142-4307-89a3-4a626e28fb69 · outbound

This paper cites Quittner and P.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Quittner and P

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.608264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.316192Z digest=sha256:5ebd8691cc13593590bf0c10ffaa8b6ecfdc713b772ab85dbe146a095aed812b

Observation 5b345602-89e1-48b4-8637-a527b14cf30a · outbound

This paper cites Rebholz, D.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Rebholz, D

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.593221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.321417Z digest=sha256:11e265ffe69b4116e4ab63a81b2d7e940dcd8c7fe6d513e3339a380dc33097a9

Observation 61786d68-d987-4821-9353-c3366e171659 · outbound

This paper cites Schwetlick.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Schwetlick

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.578332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.325939Z digest=sha256:2391e98bd995d8a0f7631b1bf01c58bf4686cde510f37fafc9cab0e3d34ed839

Observation 42db56e4-1f7f-4ef7-9900-fe05a0a58be4 · outbound

This paper cites Tao, L.H.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Tao, L.H

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.562381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.330954Z digest=sha256:021977bffa7622d6010ecedc07eebca0fffc559e4b14f0f9d10d13375f642ad7

Observation 8b0f65f0-6bdd-49e2-bf14-6ef89f669f0a · outbound

This paper cites Tuval, L.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Tuval, L

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.546904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.335471Z digest=sha256:1de996af4c0a3b5645eb6bb8ca339146792e6b07b5fe30f534f574e2141abc6b

Observation 69d3c495-2fab-4194-95a0-7d0743282cc5 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.531303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.340591Z digest=sha256:01801599d38d935eba57adafbc71da8ea149bd05bdcc0c6901c39556222674ac

Observation b44e0776-1cbe-415f-9d87-0eb673935c03 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.514997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.345373Z digest=sha256:da25c7c39fba01b109968d57858d8c029e52d085f0743977d6744929d10faf9e

Observation b67199c3-b52f-4ac3-ac46-6b0a43588b36 · outbound

This paper cites an unresolved cited work.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:28:00.498489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.350579Z digest=sha256:eea0fb550330cefbef32fdbf9cd0cda3424fbf9dc02f70709e6d9457ca9257a5

Observation e8b72ecf-1a91-4ea3-9c7a-8e9e59c7d2d3 · outbound

This paper cites Wang and K.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Wang and K

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.480266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.355263Z digest=sha256:127041d4638638b1aa3ebfaf2d4078ce3426cb0eedacc76bbf16579ff5eb5c8e

Observation 4720bf66-749a-4378-a052-cb7cb7bbc67c · outbound

This paper cites Zhang and C.J.

Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability Zhang and C.J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:28:00.463479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:28:00.360242Z digest=sha256:68053b750868b773a9a6c43d6a6e1a13adda9facfa8c53370ff1089309e7f9a7

Pith citing papers

No inbound Pith citation observations are available.