Pith. sign in

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

  • verified exact0
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:42.725298Z

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.

source=pdf_text observed=2026-08-05T20:56:37.751406Z digest=sha256:44fe011c3c44ee1dca4239d129380e1048b78447a4680616d10dad538e623e2c

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:42.582279Z

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.

source=pdf_text observed=2026-08-05T20:56:37.826273Z digest=sha256:d7926048fbe4db59c068a510003ef9f7e1f460f9ae6737afee4f0dbad868f325

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:42.316274Z

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.

source=pdf_text observed=2026-08-05T20:56:38.099379Z digest=sha256:3de0dec6dd5af5c3b45b5d7fca3bbc6eb3229f16f7e3899715b92db622096029

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
raw_fallback, observed 2026-08-05T20:56:42.176807Z

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.

source=pdf_text observed=2026-08-05T20:56:38.245455Z digest=sha256:a2ff8a222c6c7a0e757830ca60c53c79da5bff9fde38e3075d8a02c0e6da68c2

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:42.009427Z

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.

source=pdf_text observed=2026-08-05T20:56:38.407757Z digest=sha256:acb0bac6855af1fd48b64e31cef68ea006b99a1162e0467b11cd50acd11ef064

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
raw_fallback, observed 2026-08-05T20:56:41.860592Z

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.

source=pdf_text observed=2026-08-05T20:56:38.569993Z digest=sha256:9a23ea2e2410f02e8a5159bb09122d7f1c495c80e3047b86c55084bc7ed3a9d7

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
raw_fallback, observed 2026-08-05T20:56:41.691416Z

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.

source=pdf_text observed=2026-08-05T20:56:38.718424Z digest=sha256:bf8fc972b40fdce89c11ef0b667f645f0898392c6f26f469d07e8ccda041c718

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:41.532118Z

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.

source=pdf_text observed=2026-08-05T20:56:38.839564Z digest=sha256:e43054dc44ad8635d7a0e19396bb35741b38bc835b8658c3d16832374b2d2908

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

Resolution
unresolved
no resolver link, observed 2026-08-05T20:56:38.964888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:56:38.964888Z digest=sha256:335c1434678d8948e0ccf0e3ce3ee855ee7e45c3bcc6bf482eaaef00b3dea79f

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
raw_fallback, observed 2026-08-05T20:56:41.355163Z

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.

source=pdf_text observed=2026-08-05T20:56:39.116581Z digest=sha256:c660a19211a8b616021831ee8f9c7506d2c426329a02370ff9f15459c7b5a67f

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
raw_fallback, observed 2026-08-05T20:56:41.247245Z

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.

source=pdf_text observed=2026-08-05T20:56:39.249936Z digest=sha256:c93dcd5ffd0197b1b6166f495ea77c8a295c77205e72cd4f4234a17c1a75020a

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
raw_fallback, observed 2026-08-05T20:56:41.108805Z

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.

source=pdf_text observed=2026-08-05T20:56:39.378414Z digest=sha256:7cef1a0313dd533c2d153dd2116572c075b730de8093d8c8049e66a71be5fb9a

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.991115Z

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.

source=pdf_text observed=2026-08-05T20:56:39.493093Z digest=sha256:38012cfcc54184aab2789419dc294d2ac584f87bd019fce1d0228fb37ab58509

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.

source=pdf_text observed=2026-08-05T20:56:39.614694Z digest=sha256:7415fccf15d3c1923fc205ba68457528b747f467f9c9474d4ed1302a5b5ff1b9

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.767790Z

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.

source=pdf_text observed=2026-08-05T20:56:39.702770Z digest=sha256:1d2955f58eca4651c1d4ff72740a8b09fcb3d914fc42fe39e5a5e4acce067681

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.645128Z

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.

source=pdf_text observed=2026-08-05T20:56:39.834431Z digest=sha256:5fdac56102ce5e2a28d87596d07b2cbc3865f09cc3a48decff45977063188ca1

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
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.537120Z

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.

source=pdf_text observed=2026-08-05T20:56:40.004755Z digest=sha256:3ae48daca9ca1a5462c747397ba710754cc40361eb587eb5114034fbe3347bb0

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

Resolution
unresolved
no resolver link, observed 2026-08-05T20:56:40.070370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:56:40.070370Z digest=sha256:032d6fda1ec643d2b3e805159d8097802665cde03ee38acbdbf81cf7ccb34932

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

Resolution
unresolved
no resolver link, observed 2026-08-05T20:56:40.125261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:56:40.125261Z digest=sha256:259566ae48f2b5d06069258439e3260b7139a84bce2fca35b7d8bf05e9b78023

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
verified fuzzy
raw_fallback, observed 2026-08-05T20:56:40.363275Z

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.

source=pdf_text observed=2026-08-05T20:56:40.164124Z digest=sha256:5cb7eff1d2e372f1d7d349609b7daa49ebab23b722d51ed26574762c55a158da

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

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:56:42.448470Z

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.

source=pdf_text observed=2026-08-05T20:56:37.940408Z digest=sha256:a887308e1167c70743471b40ae236df4e0e5c6ddaaa49404260bdd2864c64a92

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

Resolution
unresolved
no resolver link, observed 2026-08-05T20:56:39.936071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:56:39.936071Z digest=sha256:17730264ef01909f952af10206635701165e3894472ca427b1705323d0aaa13b

Pith citing papers

No inbound Pith citation observations are available.