Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:31:52.141921Z
Paper Citation Record · LEDGER
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure
As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.08842.
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 2026-08-16T06:30:59.297886+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
42 of 42 outbound references displayed
- verified exact0
- verified fuzzy22
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bd27076a-16e3-4992-9828-74ca25bd813d · outbound
This paper cites (C3) For η to be negative, the following inequality must be met: k2 > ( 1 + D1 D0 ρ0 ) −1 f0χ0 ν0D0 − g0 ν0 , (C4) which is the stability condition.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure (C3) For η to be negative, the following inequality must be met: k2 > ( 1 + D1 D0 ρ0 ) −1 f0χ0 ν0D0 − g0 ν0 , (C4) which is the stability condition
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.749531Z
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.
Observation c1f76262-d869-4902-9c0b-077747534544 · outbound
This paper cites (D1) does not contain R02 and R01R02 due to the orthogonality between normal modes.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure (D1) does not contain R02 and R01R02 due to the orthogonality between normal modes
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.735684Z
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.
Observation c68a73d3-2def-4d78-9f23-14f16e78ee37 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.722045Z
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.
Observation 1a904aa7-2d11-421a-95c6-5ebbd14bda95 · outbound
This paper cites Ma and J.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Ma and J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.708326Z
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.
Observation 4f782454-649a-4fe9-a284-c67413534a01 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.694469Z
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.
Observation 4812e055-c5b2-4e01-be33-fdd7850446eb · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.680336Z
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.
Observation 095a20f4-569a-46cc-9153-0acb14b984fe · outbound
This paper cites Detrain and J.-L.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Detrain and J.-L
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.666223Z
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.
Observation f9aeafcd-1411-4b89-8d00-d6ba87b4672b · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.652530Z
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.
Observation ba8df0d5-ad9b-4959-a351-2fcce768d56c · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.638922Z
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.
Observation f9a640d5-54f1-482c-ac8a-b275676f2ebe · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.624824Z
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.
Observation 33b9d96c-4c30-4642-87f5-e720a05ddbe9 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.611693Z
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.
Observation 3a033fbf-2e5a-4423-b853-cede745ed335 · outbound
This paper cites Nanjundiah, J.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Nanjundiah, J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.598001Z
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.
Observation 59c453b4-5c69-4f7c-8764-e0dfe12813d8 · outbound
This paper cites Childress and J.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Childress and J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.584054Z
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.
Observation 76be00d5-d3b1-4d4c-88de-2f588518251c · outbound
This paper cites Stevens, SIAM J.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Stevens, SIAM J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.569205Z
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.
Observation b60286e0-3134-4c03-9a74-c0c4dfd5f28a · outbound
This paper cites Hillen and K.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Hillen and K
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.553049Z
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.
Observation d8e0a2a5-4e22-44e1-98a4-ed44c5447816 · outbound
This paper cites Gamba, D.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Gamba, D
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.538261Z
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.
Observation 7ffb5149-4aad-4c44-b19c-661ad944d092 · outbound
This paper cites Kowalczyk, J.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Kowalczyk, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.523518Z
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.
Observation 687f4e93-1e48-4185-bd80-081f4cf2ff35 · outbound
This paper cites Kowalczyk and Z.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Kowalczyk and Z
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.509149Z
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.
Observation 0bb53874-1e31-49b8-8d1d-f606051bb42a · outbound
This paper cites Sinhuber and N.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Sinhuber and N
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.494554Z
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.
Observation 296aef80-7c03-4e44-ad42-1d918f7f20a7 · outbound
This paper cites Wittkowski, A.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Wittkowski, A
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.046684Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 603ba1c9-1c92-449f-b2f9-246c066e1f9a · outbound
This paper cites Tiribocchi, R.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Tiribocchi, R
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.051038Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2c2c35d-9d22-4db0-ba4d-336347657ec4 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.055062Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1912995-b80a-484e-b9d1-a720c60cd760 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.059035Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6243a6a-1cd5-4d55-acc6-7ef212c222cb · outbound
This paper cites Horstmann, Colloq.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Horstmann, Colloq
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.441174Z
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.
Observation 66f7c202-482a-4473-8157-7040b738e929 · outbound
This paper cites Biler, Adv.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Biler, Adv
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.424941Z
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.
Observation 97c4b82f-3ee5-4d55-b247-bdfb80304927 · outbound
This paper cites Calvez and L.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Calvez and L
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.410372Z
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.
Observation edc843cb-5426-4fb5-a513-ae6b405d837f · outbound
This paper cites Fatkullin, Nonlinearity 26, 81 (2013).
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Fatkullin, Nonlinearity 26, 81 (2013)
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.395528Z
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.
Observation 924dc2c5-cb6e-49f5-ae2d-3a3cf485dfa0 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.380056Z
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.
Observation 81f40645-94ce-42e7-bd02-c06b86eb7309 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.365592Z
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.
Observation 00eed538-d960-4948-aba1-b4b83335ef74 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.089024Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2cb1d7b6-284a-4bce-aa6a-fece245cf8e6 · outbound
This paper cites Fanelli, C.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Fanelli, C
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.340674Z
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.
Observation 7d937aef-8632-4e2b-97ee-05b29a4a2cb2 · outbound
This paper cites Madzvamuse, H.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Madzvamuse, H
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.326204Z
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.
Observation 6d731738-a566-44e3-b4d0-7fc18e414da4 · outbound
This paper cites Gambino, M.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Gambino, M
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.311834Z
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.
Observation 35c6b2b2-7ced-4960-9526-e7e57a677ff6 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.297473Z
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.
Observation a0e9bcc8-97b6-4c83-b6ca-60a404366623 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.281692Z
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.
Observation 7f3f9dbd-3975-4be2-9925-e573bbf586e6 · outbound
This paper cites Saragosti, V.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Saragosti, V
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.266559Z
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.
Observation b287fa10-eeba-4e8c-a513-ad195b6eb8a8 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.252401Z
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.
Observation 4fb88e6e-242f-456d-8b58-cc344715cee8 · outbound
This paper cites Sittner, E.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Sittner, E
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.237529Z
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.
Observation d49f9ef7-0a91-48f1-8966-0eb2e3927bf5 · outbound
This paper cites Bonazzi, V.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Bonazzi, V
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:31:52.223128Z
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.
Observation 341dce6a-bcc8-4be4-9e8c-ea0e69a271b0 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:31:52.133153Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 614c395f-5553-4fd3-aa76-371b042cbb65 · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.199192Z
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.
Observation 504c071c-0dfb-49b1-bb40-64a0505c849e · outbound
This paper cites an unresolved cited work.
Discontinuous phase transition in chemotactic aggregation with density-dependent pressure Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:31:52.178137Z
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.
Pith citing papers
No inbound Pith citation observations are available.