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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=sha256:7b42b572fbd3a4a73336e4808e875ed3287412e97f3689f860001ffe6b243fae

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=sha256:9ead4ff62c651623d2869fd17f290896bb60b10b27fbccbb3d303e5c1edbbb4c

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=sha256:23292fe8a58f1c347355dee2bd329e7791535755dc4e27df59ab10d5e4b887ce

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:a8928e228dd007a6707ff1e2ef1d43c72fcbd476fe0abf8c66afda706a2b8a00

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=sha256:0a14d9e53b5fba8032cf56b50a5c909bab4dddfbd9a43aa93f00249d67dc3172

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=sha256:6b423fbe9f739b8da87868e8b31c0535ad655744db4ea5e3b3419a3c6fa916db

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=sha256:69a28f41ef521090554bedaa4577f44d75e093841b061225e7ec386566b7f835

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:e4ec7770c27aa826bfee9a07375bd276780ccfbb5596c8cc42e8dbc1f94cb204

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=sha256:7397880e1226d5dee21acfb0f39ffe4e5f302344a9638f3175ca1f3def341302

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:bd4a380cecbe282ae9a5d1a35089be7b7fc7c368c4d3c6900fe927b3746a2a40

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=sha256:18cdba6ef5757f6af13ec7ad3e6dc4813652bbc0783714d0cb92894f899becd8

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:b547991fe58afc1ba62a9edddf1a93a019d020d0ae8040673e97712ff09fb882

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=sha256:63942d5f515e58764a66f36ff80036fd0ecdefa6fd59a888529c125f3e3fc00e

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=sha256:6c448bc5051ab064b34e810b14efb9e20ee93aec7b18f26bf8cf500efbb10e4d

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=sha256:8c7d4e74133982962190253a84b6e75c28c195725ffe5eb2ba9ba3254c73ee71

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=sha256:706a866f0724c1e3c666be519d8688656baa04004f8759d1024cc8f03d029d1b

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:bad09d7e20eca301fa5433cc19d798fd573c850abc21b06655b32bb0874cbb7b

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:b39552626b6c58b2ba9856fab90f75557b48c83638d98ff3d24aaa4b95bd4cb1

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:f12beb8e822e55f4d3d75f1fabcf21a1ba3ed95dfd5b20f7ce046d3f054e4f76

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:b08d4370d548b2dba4c848e543e6742993492e88b6318743ad6e162eb51fb2d3

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=sha256:0324b4e51435d9fa26f368b1f35d1ff79a39d26be8ef7105d95e0e97691a27b4

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=sha256:551df479b1679f287fb545026da00143a493ffa0eed9773dd252e5c9c6653bad

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=sha256:0e43ded39970b3e7d1001dac691f54aeb1a1fc0b450c27dfea608fb635a67e32

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:fbba978012559672ed32fd466c35ce9dd2efabb45942328cbcfee896b2962f62

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:a50a96df7d1988a04c0a9eaf7e2cb759f26db44515766ed070017a0d9d0f0d09

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=sha256:4fd7e394c6e4a65a48b29e837f5057d045221070ec0cbd3640436629532cb74d

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:fe16d97f3cfd10d493c39bc259e9a4c1dec9809d334069b48a741fbd5faa66fe

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:d675af096467e60fb4204b4fcceaa1711e8cd0290431a54de931e8e29cf169d8

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=sha256:8072d9a38fa786b6c7444a9dad02ccf044a3b30c83b3b068781b0f7f26fe30a5

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=sha256:235b5c806f0271c28cf3e19e11dc9f2464d1b854150586b2c9eecf1fbec8aa9f

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=sha256:2decfe08ff045f38cf614c11d7121f74a81241e6ae656abf6a2c3f789b38b1f1

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=sha256:9e477ffe3c967fd5663cb6724ab9f020f60e5b93b3dacb78b7fee1159b4b179c

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=sha256:52c5c8f01e57284b9163488ab39d8ed3fa26df39f809a3ce62ed82b5f4247d19

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=sha256:10200da6e8f5916125cf082827e9dc7b2657d939b6e350e2f2cabc952ded6dc6

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=sha256:04e99edbe31e79bc6daaa31b629ef82d083078ed71fc8fe9464d16292b5d86c1

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=sha256:3f284830bca05f9e96488e1a62010156f72a9c2b81675c053ad1ab3197928d3c

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:d30a68523030fedfa0edcdb23a51bee8013b88d851d22ab3e20de7b5d56fa6e0

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=sha256:7879f7a0c7ba5470a910a5411087ea145a8df2bfd48f6a5594100e561ee72870

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:b4442962dc1ce7e49032b29adddfc0afd9d6590e9e01e8e9425c7dce5ca08928

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=sha256:42b3635e4cd7fe721dded3dfcc527daa3b987354a23b5a2eb516feffc37b4980

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=sha256:341d94c59198f5b9ae4dee656ba51fd67b805ded65095bd2abcdc5e9a4183483

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=sha256:80df698ee282df9e2e01fb5813e7687f86c10c784d8a58651aaab50bd08b62c8

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=sha256:44db21ed7aa0f32b06f822952fe52f33a12f0208d2ca51d60605b0f05150b58e

Pith citing papers

No inbound Pith citation observations are available.