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Paper Citation Record · LEDGER

Stable blowup for the harmonic map heat flow into perturbed spheres

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.03332.

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

pith.paper-citation-record.v1
2608.03332 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:56:40.164124Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

22 of 22 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 058dae94-f835-47d1-a4f0-543cd7f24d20 · outbound

This paper cites Existence of a stable shrinker for the coro- tational harmonic map heat flow in higher space dimensions, 2026.

Stable blowup for the harmonic map heat flow into perturbed spheres Existence of a stable shrinker for the coro- tational harmonic map heat flow in higher space dimensions, 2026

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c74058da-b8b4-4e49-8e5c-bbbd81e265d1 · outbound

This paper cites Besse.Manifolds all of whose geodesics are closed, volume 93 ofErgebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas].

Stable blowup for the harmonic map heat flow into perturbed spheres Besse.Manifolds all of whose geodesics are closed, volume 93 ofErgebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas]

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c3020fc7-3429-4b98-b5d0-3fa307816b5d · outbound

This paper cites Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions.

Stable blowup for the harmonic map heat flow into perturbed spheres Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions

Reference 3

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 350b2876-0c09-4c90-8b7d-a80ea0a0d627 · outbound

This paper cites Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow.Nonlinearity, 31(8):3543–3566, 2018.

Stable blowup for the harmonic map heat flow into perturbed spheres Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow.Nonlinearity, 31(8):3543–3566, 2018

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 54907682-eaf5-439c-8e1d-fd77af29ec43 · outbound

This paper cites Stable self-similar blowup in the supercritical heat flow of harmonic maps.Calc.

Stable blowup for the harmonic map heat flow into perturbed spheres Stable self-similar blowup in the supercritical heat flow of harmonic maps.Calc

Reference 5

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f49d01c1-3825-4deb-8058-1fcb354d01bd · outbound

This paper cites Nonexistence of shrinkers for the harmonic map flow in higher dimensions.Int.

Stable blowup for the harmonic map heat flow into perturbed spheres Nonexistence of shrinkers for the harmonic map flow in higher dimensions.Int

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5bc0ff17-5805-4c23-9d71-5a554197b0d9 · outbound

This paper cites Finite-time blow-up of the heat flow of harmonic maps from surfaces.J.

Stable blowup for the harmonic map heat flow into perturbed spheres Finite-time blow-up of the heat flow of harmonic maps from surfaces.J

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9c5ac9e6-9b87-4c2c-9e8b-e3f38e05471c · outbound

This paper cites Explosion en temps fini pour le flot des applications harmoniques.C.

Stable blowup for the harmonic map heat flow into perturbed spheres Explosion en temps fini pour le flot des applications harmoniques.C

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 13790785-976d-4a2d-9c78-9f189e8c46fc · outbound

This paper cites Stable blowup for supercritical wave maps into perturbed spheres.

Stable blowup for the harmonic map heat flow into perturbed spheres Stable blowup for supercritical wave maps into perturbed spheres

Reference 9

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d3f1a93c-4199-42a2-b52e-5e2e8031f120 · outbound

This paper cites an unresolved cited work.

Stable blowup for the harmonic map heat flow into perturbed spheres Unresolved cited work

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1f52d912-b8e3-453c-8abd-fe53b6eb369c · outbound

This paper cites Springer-Verlag, New York, 2000.

Stable blowup for the harmonic map heat flow into perturbed spheres Springer-Verlag, New York, 2000

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1259d883-c381-476e-a33b-3e343365b5a6 · outbound

This paper cites Existence of the self-similar solutions in the heat flow of harmonic maps.Sci.

Stable blowup for the harmonic map heat flow into perturbed spheres Existence of the self-similar solutions in the heat flow of harmonic maps.Sci

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bb9e79ec-dfb5-4720-ba66-344adc8854a9 · outbound

This paper cites Singularities of first kind in the harmonic map and Yang-Mills heat flows.Math.

Stable blowup for the harmonic map heat flow into perturbed spheres Singularities of first kind in the harmonic map and Yang-Mills heat flows.Math

Reference 13

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 92b24304-9dc4-41b0-8a9b-f89136ca0d2c · outbound

This paper cites Stable blowup for the supercritical hyperbolic Yang-Mills equations.Adv.

Stable blowup for the harmonic map heat flow into perturbed spheres Stable blowup for the supercritical hyperbolic Yang-Mills equations.Adv

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.892144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 132f98a6-3d4d-40d7-abc8-e9f42f13132e · outbound

This paper cites Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions.Calc.

Stable blowup for the harmonic map heat flow into perturbed spheres Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions.Calc

Reference 15

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d2cafb26-2806-413e-8414-9a35c33113b7 · outbound

This paper cites Classics in Mathematics.

Stable blowup for the harmonic map heat flow into perturbed spheres Classics in Mathematics

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4f12b348-675f-40b8-8551-84f6de9671dc · outbound

This paper cites World Scientific Publishing Co.

Stable blowup for the harmonic map heat flow into perturbed spheres World Scientific Publishing Co

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0ea5ac30-8e76-4455-bfa5-2f2ca9037619 · outbound

This paper cites Stable blowup for focusing semilinear wave equations in all dimensions.Trans.

Stable blowup for the harmonic map heat flow into perturbed spheres Stable blowup for focusing semilinear wave equations in all dimensions.Trans

Reference 18

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 10e8e86e-9874-4c03-8b0a-dad83b885f75 · outbound

This paper cites Shadi Tahvildar-Zadeh.

Stable blowup for the harmonic map heat flow into perturbed spheres Shadi Tahvildar-Zadeh

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a62056a9-18f4-4e4e-afc9-d743ba6a7cc8 · outbound

This paper cites On the evolution of harmonic maps in higher dimensions.J.

Stable blowup for the harmonic map heat flow into perturbed spheres On the evolution of harmonic maps in higher dimensions.J

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 307730bb-f944-49b4-9149-405146c4c6b7 · outbound

This paper cites an unresolved cited work.

Stable blowup for the harmonic map heat flow into perturbed spheres Unresolved cited work

Reference 1978

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 10db9270-9cfd-4076-b06e-97eb8e92ec4a · outbound

This paper cites an unresolved cited work.

Stable blowup for the harmonic map heat flow into perturbed spheres Unresolved cited work

Reference 1995

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Unavailable: canonical work link unavailable.

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