Paper Citation Record · LEDGER

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations

As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2607.17430.

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

pith.paper-citation-record.v1
2607.17430 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:07:02.354194Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:23:14.135457Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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unresolved38
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f35ee319-e8ec-4310-b812-4de8e37f94ec · outbound

This paper cites Arendt, C.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Arendt, C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.235577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0695fb51-e89f-42d9-8bb9-6cd8e1f893ca · outbound

This paper cites Baeumer and M.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Baeumer and M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.316292Z

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Observation 23b4bf6a-6e25-4b71-93b5-21aefc161704 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.467037Z

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Observation db73d1a0-7154-4ddb-b937-06955b75f02d · outbound

This paper cites Bergh and J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Bergh and J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.530303Z

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Observation 732cbb14-b2bb-409d-b5ce-3bfea1e21a1c · outbound

This paper cites Cazenave, F.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Cazenave, F

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.620810Z

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Observation bf84e0ef-eedd-4881-8e7d-58cc5b3e0c09 · outbound

This paper cites Christ, J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Christ, J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.684892Z

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Observation a40989bb-38d3-4234-af06-29ea19995138 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.762992Z

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Observation 4ae17318-a051-42ac-9f8c-7fb820eaf2ca · outbound

This paper cites Costa, C.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Costa, C

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.854923Z

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Observation bf2be571-b857-4839-9877-4a7eb0d2029a · outbound

This paper cites D’Abbicco, M.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations D’Abbicco, M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T18:06:59.944117Z

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Observation 55c8d6c4-8e99-499e-83d4-9c571c8f134d · outbound

This paper cites de Andrade,Explicit blow-up thresholds for the fractional diffusion-wave equation in critical Lebesgue spaces, Phys.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations de Andrade,Explicit blow-up thresholds for the fractional diffusion-wave equation in critical Lebesgue spaces, Phys

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.037475Z

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Observation 9eec5a9a-c61d-438c-b51e-844e9a8aa85d · outbound

This paper cites de Andrade and N.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations de Andrade and N

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.093884Z

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Observation 131d7d85-ea71-4135-9c83-8b9fe013b243 · outbound

This paper cites de Andrade, G.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations de Andrade, G

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.162506Z

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Observation c659958f-4221-434b-8588-abc178e81491 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.278856Z

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Observation de547ee0-e4da-491c-9aff-7e8269a85d94 · outbound

This paper cites Fino and M.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Fino and M

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.411604Z

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Observation dce4eb94-6b60-49c3-b3d3-9991effd92e4 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.515882Z

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Observation 26642f88-1dc2-4862-b139-9d097bf60a6d · outbound

This paper cites Fujita,On the blowing up of solutions of the Cauchy problem foru t = ∆u+u 1+α, J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Fujita,On the blowing up of solutions of the Cauchy problem foru t = ∆u+u 1+α, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.609767Z

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Observation ca56a592-3792-4012-81ff-24f7fa880b6f · outbound

This paper cites Giga,Solutions for semilinear parabolic equations inL p and regularity of weak solutions of the Navier- Stokes system, J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Giga,Solutions for semilinear parabolic equations inL p and regularity of weak solutions of the Navier- Stokes system, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.696771Z

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Observation 1fc5f1b0-a4e7-4e86-a52f-ffd9b8c4e088 · outbound

This paper cites Giusti, I.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Giusti, I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.816391Z

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Observation 9aab68bc-ddcf-45fe-8e00-86c37bc7af7b · outbound

This paper cites Grafakos,Modern Fourier Analysis, 2nd ed., Graduate Texts in Mathematics, vol.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Grafakos,Modern Fourier Analysis, 2nd ed., Graduate Texts in Mathematics, vol

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:00.932244Z

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Observation 10578623-b87a-45fa-95c3-18ec4bea0891 · outbound

This paper cites Guedda and M.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Guedda and M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.055294Z

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Observation c4ccd9ed-970e-4ca4-9575-842cd7037229 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.174277Z

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Observation 4f836a57-3198-4567-8eef-c591ec36e6df · outbound

This paper cites Henry,Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Henry,Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.254490Z

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Observation 6f052c81-77ad-4ca9-874c-a7e2db32543a · outbound

This paper cites Kato,Blow-up of solutions of some nonlinear hyperbolic equations, Commun.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Kato,Blow-up of solutions of some nonlinear hyperbolic equations, Commun

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.333898Z

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Observation 349ac44a-15fd-4b7c-9c8d-5125ffb2ee31 · outbound

This paper cites Kemppainen, J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Kemppainen, J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.396446Z

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Observation 5fd5f744-efb3-4dbf-8787-7aa32639cf0d · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.446136Z

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Observation d3d76f6c-659e-4659-b4d8-8ade47a2f4da · outbound

This paper cites Lunardi,Analytic Semigroups and Optimal Regularity in Parabolic Problems, Progress in Nonlinear Differential Equations and their Applications, vol.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Lunardi,Analytic Semigroups and Optimal Regularity in Parabolic Problems, Progress in Nonlinear Differential Equations and their Applications, vol

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.504591Z

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Observation f73b3166-010f-4167-a28a-d83f2cce522d · outbound

This paper cites Mainardi,Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press, London, 2010.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Mainardi,Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press, London, 2010

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.534835Z

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Observation e4ee181d-cfec-4abe-8114-69a477a149c1 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.600286Z

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Observation a548663f-180a-4058-b5c9-b055d8eae3c2 · outbound

This paper cites Metzler and J.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Metzler and J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.658425Z

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Observation 53203ba4-a4bb-489f-8da5-b8557e9a8c4f · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.730855Z

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Observation b11f9b99-5dbd-429d-943c-2b9fc9825a60 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.818583Z

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Observation e41b57da-f5ce-4210-ab75-2cce96e8ae43 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:01.906420Z

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Observation b1905377-1cf0-419a-b4d7-6a42a006cb3c · outbound

This paper cites Pr¨ uss,Evolutionary Integral Equations and Applications, Monographs in Mathematics, vol.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Pr¨ uss,Evolutionary Integral Equations and Applications, Monographs in Mathematics, vol

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.015479Z

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Observation a19f4f6f-3796-41e7-b8ba-ef1bffe9683a · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.083432Z

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Observation 420a24dc-dd17-4361-85a3-fd170af3c782 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.140153Z

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Observation 7a3382d5-2a1f-4938-8f7d-df8d85e165a1 · outbound

This paper cites Vergara and R.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Vergara and R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.231799Z

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Observation deee39d6-4885-48d8-887c-92a7e02c7c22 · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.286778Z

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Observation 2ab10cdb-2e8c-474d-a2be-bbae7ef78d7d · outbound

This paper cites an unresolved cited work.

Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T18:07:02.354194Z

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Pith citing papers

Observation 6bc27b25-3c07-49bc-b1e5-d4c132298973 · inbound

The Navier-Stokes equations with dual-scale hereditary viscosity: supercritical norm inflation and global well-posedness in critical spaces cites this paper.

The Navier-Stokes equations with dual-scale hereditary viscosity: supercritical norm inflation and global well-posedness in critical spaces Critical thresholds and instantaneous norm inflation for super-diffusive integro-differential equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T04:23:14.135457Z

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