Pith. sign in

Paper Citation Record · LEDGER

Nonlinear random perturbations of Reaction-Diffusion Equations

As of 17 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 3 inbound Pith citation observations for arXiv:2506.17094.

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

pith.paper-citation-record.v1
2506.17094 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:22:34.695726Z

measured 18 of 18 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:49:03.308980Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T19:37:19.369429Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24877d03-2085-4367-bfb5-2c2e45a1ffb9 · outbound

This paper cites Antonelli,Backward-forward stochastic differential equations, Annals of Applied Probabability 3 (1993), pp.

Nonlinear random perturbations of Reaction-Diffusion Equations Antonelli,Backward-forward stochastic differential equations, Annals of Applied Probabability 3 (1993), pp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.968908Z

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=2026-08-15T19:22:34.627082Z digest=sha256:c60e5032490d7710e8182c5fd0760fece10ac08c036b1fcfcfcdaa1cda440a8e

Observation 92cd23fa-e8ca-47e4-8ad3-2285a746fa47 · outbound

This paper cites Budhiraja, P.

Nonlinear random perturbations of Reaction-Diffusion Equations Budhiraja, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.951743Z

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=2026-08-15T19:22:34.632768Z digest=sha256:a0026118ab6ad909f7676b27387971f7ed2f36c30b6bfbd738fa80ac9fb674ef

Observation ec78536f-4c7f-4ea9-b7cc-7f24be047893 · outbound

This paper cites Cerrai,Second order PDE’s in finite and infinite dimensions.

Nonlinear random perturbations of Reaction-Diffusion Equations Cerrai,Second order PDE’s in finite and infinite dimensions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.935103Z

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=2026-08-15T19:22:34.637622Z digest=sha256:c5d3d2beb58dd3b551bf85763ccb5354edee74d0391e9af1ffd572f067651d39

Observation 6c73a2ff-16a5-4b5c-a979-6b10bea07f64 · outbound

This paper cites Cerrai,Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term, Prob- ability Theory and Related Fields 125 (2003), pp.

Nonlinear random perturbations of Reaction-Diffusion Equations Cerrai,Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term, Prob- ability Theory and Related Fields 125 (2003), pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.918144Z

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=2026-08-15T19:22:34.642856Z digest=sha256:57397f4c552f5b63a4cf494ef814df80ca453779110e9ece20a34fec717a8cc6

Observation 3efaf165-73cb-477f-adca-69a672509d9c · outbound

This paper cites Cerrai, G.

Nonlinear random perturbations of Reaction-Diffusion Equations Cerrai, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.901856Z

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=2026-08-15T19:22:34.647597Z digest=sha256:bd4cf7f2288b31e39674fe97a65992538c0ba8b9ca7ceea1a21f695558c53086

Observation ad98f3a0-c8b1-4003-bbe6-5277bee137d3 · outbound

This paper cites Da Prato and J.

Nonlinear random perturbations of Reaction-Diffusion Equations Da Prato and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.885044Z

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=2026-08-15T19:22:34.652443Z digest=sha256:110254516926c9241e631f8d2677bdc4d0dfa42a9c4d99ce69128675565d0131

Observation b502a731-f793-4e85-a706-a9263e9f7117 · outbound

This paper cites Da Prato, J.

Nonlinear random perturbations of Reaction-Diffusion Equations Da Prato, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.867261Z

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=2026-08-15T19:22:34.657794Z digest=sha256:dab57a658d143fea170cdf327e8e2d113610367cc0c186deb8f98abdb8823893

Observation 8584be7e-2423-4cae-a6b4-ec7a66548b98 · outbound

This paper cites Delarue and G.

Nonlinear random perturbations of Reaction-Diffusion Equations Delarue and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.850840Z

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=2026-08-15T19:22:34.662299Z digest=sha256:61426381699bf1ba82278832edda941851e335a53401543c10776644b88e9743

Observation e544f1b3-c3da-422e-8cc3-d9dc875ba122 · outbound

This paper cites Freidlin, L.

Nonlinear random perturbations of Reaction-Diffusion Equations Freidlin, L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.834395Z

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=2026-08-15T19:22:34.666743Z digest=sha256:f59d38c9597c3ec19c285d57558ec8094615aab43359e9be02139c30f7a95f6f

Observation 0ba991ef-3535-491b-84f5-332d10ad03af · outbound

This paper cites Freidlin, A.

Nonlinear random perturbations of Reaction-Diffusion Equations Freidlin, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.817332Z

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=2026-08-15T19:22:34.671835Z digest=sha256:5a3e454208ecc3e545e7b679ba6bc5166db259a012f9c0b07e1e787851111c0a

Observation c0628e56-303f-45bc-ab57-d6411b14fe31 · outbound

This paper cites Jong,Finding adapted solutions of forward-backward stochastic differential equations - the method of contin- uation, Probability Theory and Related Fields, 107 (1997), pp.

Nonlinear random perturbations of Reaction-Diffusion Equations Jong,Finding adapted solutions of forward-backward stochastic differential equations - the method of contin- uation, Probability Theory and Related Fields, 107 (1997), pp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.799586Z

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=2026-08-15T19:22:34.676400Z digest=sha256:0dd0b76e298219d19e3fccfe933c9c20cf988b2aaa2187692260bc6c55ecf594

Observation b9c87cce-b076-4c6e-836e-53776f048c32 · outbound

This paper cites an unresolved cited work.

Nonlinear random perturbations of Reaction-Diffusion Equations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:22:34.781521Z

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=2026-08-15T19:22:34.680970Z digest=sha256:fba798e241dd0f19198f698fe1b0596acb7936bbfff4ef08c7e91f1458ce0c77

Observation 3bce2a58-bcf9-4e7f-b9a3-57069848d68f · outbound

This paper cites Ma and J.

Nonlinear random perturbations of Reaction-Diffusion Equations Ma and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.766188Z

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=2026-08-15T19:22:34.685480Z digest=sha256:3563896cb1c390b6b7ea4e3e3d9dbfaac9cb885c83d54f7eef4c1701634149c9

Observation b7ded279-3e12-48ec-a657-9d2114146592 · outbound

This paper cites Pardoux and S.

Nonlinear random perturbations of Reaction-Diffusion Equations Pardoux and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:22:34.748793Z

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=2026-08-15T19:22:34.690754Z digest=sha256:ba1534f2f8b2140477dec03c6e8e6f1d5525a55915707d07bbd7a07e0c1eca8f

Observation 29b1d907-ba1c-4546-8c08-7d49186c8e1c · outbound

This paper cites an unresolved cited work.

Nonlinear random perturbations of Reaction-Diffusion Equations Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:22:34.732148Z

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=2026-08-15T19:22:34.695726Z digest=sha256:f91fe4057616083fd8ebdbbadb4053bcf8fd6b1ded488fab5827d3bc290482d1

Pith citing papers

Observation f4d6f0f7-8f8d-4124-8596-29ce888ab67b · inbound

Sharp bounds for non-trace class noise and applications to SPDEs cites this paper.

Sharp bounds for non-trace class noise and applications to SPDEs Nonlinear random perturbations of Reaction-Diffusion Equations

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T07:49:03.308980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T07:49:03.308980Z digest=sha256:bf894324c734d774012827ce7d6dc5409233e47eea178b07387649b120905b25

Observation e24f9675-7f3b-4799-a686-7e6336550e23 · inbound

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise cites this paper.

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise Nonlinear random perturbations of Reaction-Diffusion Equations

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:37:19.370936Z

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=arxiv_source observed=2026-06-27T21:25:30.324436Z digest=sha256:9a762d5123db282fbc3062793d6ee5e2fe93c3fd0262d0ddae76e3edd47cce58

Observation 87905046-2d09-463c-872f-6b20f3906ddb · inbound

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise cites this paper.

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise Nonlinear random perturbations of Reaction-Diffusion Equations

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-02T12:15:03.731927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:15:03.731927Z digest=sha256:226ac236637bb27f1ce0aff86cdeda0eed1e094bc76dc266359fc8620794e989