Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T21:12:04.000123Z
Paper Citation Record · LEDGER
Extinction and propagation phenomena for semilinear parabolic equations on metric trees
As of 22 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2505.10712.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:18:38.284595Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T23:17:29.614234Z
Reference resolution
43 of 43 outbound references displayed
- verified exact2
- verified fuzzy32
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 045d29e4-0d63-4d16-82cf-9d5266f4680d · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:12:04.761875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 26d98b45-14e1-41c3-a101-160ee47da987 · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:12:04.742877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 782a7bb2-c859-43f1-b77a-77a01d4e00c6 · outbound
This paper cites Baker & X.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Baker & X
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.724063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 143d570c-2ab7-49ac-bef3-f296b2d908eb · outbound
This paper cites Bandle, M.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Bandle, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.707266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 894b06ba-348b-43b8-908a-f8180a89e97c · outbound
This paper cites Bandle, F.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Bandle, F
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.690054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b157f780-144b-4fa0-903f-f3c9caa686ac · outbound
This paper cites Berestycki & F.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Berestycki & F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.673954Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 296d498d-8433-4a65-ad44-01e68e58397b · outbound
This paper cites Berkolaiko & P.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Berkolaiko & P
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:12:03.811752Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 562e1186-788d-448a-9119-779253293de9 · outbound
This paper cites Carlson, Hill’s equation for a homogeneous tree, Electron.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Carlson, Hill’s equation for a homogeneous tree, Electron
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.646114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1365811f-179f-465c-97e7-cd08fdd652ca · outbound
This paper cites Carlson, Linear network models related to blood flow.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Carlson, Linear network models related to blood flow
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.630327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e58c3eee-1066-4048-93e2-294c1e5a95a8 · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:12:03.826313Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32f14fdd-906c-4094-bb10-2c83c62c6b05 · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:12:04.603059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e3787b0e-a130-416b-a852-ec7288ea4173 · outbound
This paper cites Frank & H.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Frank & H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.586182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fc5506d7-85d3-422e-bc0e-0f3a5383ce3c · outbound
This paper cites Fujita, On the blowing up of solutions of the Cauchy problem for ut = ∆u + u1+α, J.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Fujita, On the blowing up of solutions of the Cauchy problem for ut = ∆u + u1+α, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.570240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f6227132-5068-4741-a5f7-54ba21cce05c · outbound
This paper cites Grigor’yan & J.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Grigor’yan & J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.554010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 798b112a-539c-452d-968d-46c49421d5d5 · outbound
This paper cites Heat kernel estimates and related inequalities on metric graphs.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Heat kernel estimates and related inequalities on metric graphs
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:12:03.853564Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8223d07-00da-4e56-807e-6d7ff25af17e · outbound
This paper cites Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erd\H{o}s-R\'eyni graphs.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erd\H{o}s-R\'eyni graphs
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T21:12:04.071417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bd58344a-465c-4c80-a4b2-f8dfe8a5e660 · outbound
This paper cites Jones, Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions , Rocky Mount.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Jones, Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions , Rocky Mount
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.536123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation eb7aea8d-5e92-4537-8987-c0629260327c · outbound
This paper cites Kato, Perturbation Theory for Linear Operators (Springer, 1980).
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Kato, Perturbation Theory for Linear Operators (Springer, 1980)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.516966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c84e2870-33ed-4701-b8bf-58d6584296d7 · outbound
This paper cites Keller, D.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Keller, D
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.497431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 28c9d2c9-5c57-4091-9e67-ff05a7f85188 · outbound
This paper cites Lakshmikantham, D.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Lakshmikantham, D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.479264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dc77802a-ded3-4f35-b474-7c401b2ce137 · outbound
This paper cites Matano, F.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Matano, F
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.461931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fb2209d3-2fa2-432c-bc9e-b67134dd28d9 · outbound
This paper cites Maury, D.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Maury, D
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.443485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c30887eb-dbed-4be7-8b3c-88e0cc279df1 · outbound
This paper cites Mugnolo, Semigroup Methods for Evolution Equations on Networks (Springer, 2014).
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Mugnolo, Semigroup Methods for Evolution Equations on Networks (Springer, 2014)
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T21:12:03.894901Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3ca9f25-1374-4504-b7d0-a90a14b4096d · outbound
This paper cites Mugnolo & J.-F.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Mugnolo & J.-F
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.415167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c82c0842-6d9f-4dfe-a74e-d59f635af246 · outbound
This paper cites Naimark & M.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Naimark & M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.398319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e11db915-461f-45eb-b989-ae0d724b9de3 · outbound
This paper cites Naimark & M.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Naimark & M
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.381878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4722323-43cf-446c-9e2a-da3c3fa320c0 · outbound
This paper cites Nicaise, Some results on spectral theory over networks applied to nerve impulse transmission.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Nicaise, Some results on spectral theory over networks applied to nerve impulse transmission
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.366340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6da5a420-3e83-4775-ae83-bbb5d7d842c9 · outbound
This paper cites Punzo & A.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Punzo & A
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.349461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 388f0e65-1ef4-49b9-9b25-a2786fde9ca0 · outbound
This paper cites Punzo & A.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Punzo & A
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.332114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c6ff7714-ad72-4ce1-8905-15ac874b43dd · outbound
This paper cites Rach˘ unkov´ a & J.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Rach˘ unkov´ a & J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.313792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d659c7b7-74e2-4d4d-a15f-22209cc5605a · outbound
This paper cites Rach˘ unkov´ a & J.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Rach˘ unkov´ a & J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.296636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 42f0abd6-562c-4739-a328-f962bdf362ed · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:12:04.280776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f6cd6aa1-7167-4151-b93d-0ed27cd1a744 · outbound
This paper cites Sarhad, R.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Sarhad, R
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.263641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5df4c568-448e-4d74-998c-c4632221ada5 · outbound
This paper cites Sarhad, S.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Sarhad, S
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.248595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 77810025-c463-4e96-b547-46476a9dbee1 · outbound
This paper cites Sherwin, V.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Sherwin, V
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.232033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 360435c9-270a-490d-9d9c-67a8fd00620d · outbound
This paper cites Sobolev & M.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Sobolev & M
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.215512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 62a0e33c-8e92-4b2f-b567-67f433681177 · outbound
This paper cites Laplace and Schr\"odinger operators on regular metric trees: the discrete spectrum case.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Laplace and Schr\"odinger operators on regular metric trees: the discrete spectrum case
Reference 37
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T21:12:04.048410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f967d425-9730-4090-a680-40016e2a62a8 · outbound
This paper cites Solomyak, On the spectrum of the Laplacian on regular metric trees , Waves Random Complex Media 14 (2004), 155-171.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Solomyak, On the spectrum of the Laplacian on regular metric trees , Waves Random Complex Media 14 (2004), 155-171
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.198037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d733033-daf8-4011-8952-953e65feb3f2 · outbound
This paper cites an unresolved cited work.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T21:12:04.177908Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e9afc643-42c0-4456-a7eb-ebcb14bf919f · outbound
This paper cites Villacorta, J.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees Villacorta, J
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.159145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation df24244d-c01e-4f4e-92b8-dbb8d6624f7f · outbound
This paper cites von Below, A maximum principle for semilinear parabolic network equations.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees von Below, A maximum principle for semilinear parabolic network equations
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.141806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation eecc8892-484f-4be6-a0f1-8ce760924099 · outbound
This paper cites von Below, Front propagation in diffusion problems on trees.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees von Below, Front propagation in diffusion problems on trees
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.123654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 14e8af56-2354-4771-89c3-b0c6cd5eb57f · outbound
This paper cites G. Castelnuovo.
Extinction and propagation phenomena for semilinear parabolic equations on metric trees G. Castelnuovo
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T21:12:04.107198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation d36bca9f-0ecb-4e9d-a3b1-2b57811c08b3 · inbound
Nonexistence results for the semilinear wave equation on graphs cites this paper.
Nonexistence results for the semilinear wave equation on graphs Extinction and propagation phenomena for semilinear parabolic equations on metric trees
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:38.284595Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1140a8ec-69a5-4dea-b82c-66b8e0fc61e2 · inbound
Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs cites this paper.
Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Extinction and propagation phenomena for semilinear parabolic equations on metric trees
Reference 58
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T23:17:29.615511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.