Paper Citation Record · LEDGER

Existence of traveling waves for vector valued gradient flows

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.06647.

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

pith.paper-citation-record.v1
2506.06647 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:04:47.018308Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

19 of 19 outbound references displayed

verified exact0
verified fuzzy17
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 726b14ff-7437-4c97-8b42-e2e615f6b306 · outbound

This paper cites Alikakos, P.

Existence of traveling waves for vector valued gradient flows Alikakos, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.317008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7a63073d-4e8c-48e0-aa9e-da7a367d7059 · outbound

This paper cites Alikakos, S.

Existence of traveling waves for vector valued gradient flows Alikakos, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.303415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 920ef978-7212-4739-a6af-e25f4b9f55ba · outbound

This paper cites Berestycki, & L.

Existence of traveling waves for vector valued gradient flows Berestycki, & L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.289629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3bfc1d08-2b68-4a41-b403-3b02b81b2185 · outbound

This paper cites Chen, &V.

Existence of traveling waves for vector valued gradient flows Chen, &V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.275758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e8b1bfc-6488-4cc3-91eb-afb64b8fbd54 · outbound

This paper cites Chen,Existence, uniqueness, and asymptotic stability of travelling waves in non-local evolution equa- tions, Adv.

Existence of traveling waves for vector valued gradient flows Chen,Existence, uniqueness, and asymptotic stability of travelling waves in non-local evolution equa- tions, Adv

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.262158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 327dc421-2306-40d0-a4f5-f1ced70a60e7 · outbound

This paper cites Chen, & J.

Existence of traveling waves for vector valued gradient flows Chen, & J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.247798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 91f40ac4-68fd-422b-9717-460bb3db8d4a · outbound

This paper cites an unresolved cited work.

Existence of traveling waves for vector valued gradient flows Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:04:47.234137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f4f231a-54d6-40d5-8a14-dc7848a164d1 · outbound

This paper cites Evans, Partial differential equations.

Existence of traveling waves for vector valued gradient flows Evans, Partial differential equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.219963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 374c69eb-c2f8-4656-9ba3-e84ea8e4600b · outbound

This paper cites Fiedler, A.

Existence of traveling waves for vector valued gradient flows Fiedler, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.205229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0973c7ca-3114-4c38-8e37-653ad3c510c4 · outbound

This paper cites Fife & B.

Existence of traveling waves for vector valued gradient flows Fife & B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.190736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c92402ef-8a9e-4c5f-9cba-a4949ca3831b · outbound

This paper cites Hartman, Ordinary Differential Equations.

Existence of traveling waves for vector valued gradient flows Hartman, Ordinary Differential Equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.176107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 68be551a-fb6e-4834-9379-47b955b1db2a · outbound

This paper cites Hohenberg, & B.

Existence of traveling waves for vector valued gradient flows Hohenberg, & B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.160940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f4628486-40be-410c-8d2c-afb4971f8d9c · outbound

This paper cites Hosono,Traveling wave solutions for some density dependent diffusion equations, Japan J.

Existence of traveling waves for vector valued gradient flows Hosono,Traveling wave solutions for some density dependent diffusion equations, Japan J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.146724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f8bf1bb7-0ba7-4af7-93ee-dc071b227b01 · outbound

This paper cites Lucia, C.

Existence of traveling waves for vector valued gradient flows Lucia, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.131129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca2deb65-c254-4ccc-bb96-06185319d909 · outbound

This paper cites Lucia, C.

Existence of traveling waves for vector valued gradient flows Lucia, C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.115129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b02d809b-baef-4272-bb7e-0f1d5264047d · outbound

This paper cites McKean,Nagumo’s equation, Adv.

Existence of traveling waves for vector valued gradient flows McKean,Nagumo’s equation, Adv

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.100898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ed0247c-a48d-44db-b803-d8228445968b · outbound

This paper cites Mielke,Essential manifolds for an elliptic problem in an infinite strip,J.

Existence of traveling waves for vector valued gradient flows Mielke,Essential manifolds for an elliptic problem in an infinite strip,J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.085854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 84de331e-19b3-405f-9639-856fc8f0f5f5 · outbound

This paper cites Muratov,A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type,Discrete Cont.

Existence of traveling waves for vector valued gradient flows Muratov,A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type,Discrete Cont

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:04:47.071320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6fd8b539-426d-4170-9150-46f70eee8e2c · outbound

This paper cites an unresolved cited work.

Existence of traveling waves for vector valued gradient flows Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:04:47.055224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.