Paper Citation Record · LEDGER

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures

As of 7 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2605.31334.

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

pith.paper-citation-record.v1
2605.31334 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T20:57:03.853085Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:10:10.866166Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact8
verified fuzzy0
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d762aa50-0fc2-4946-9a92-c86783f62ffe · outbound

This paper cites Sur les groupes d’holonomie homogènes de variétés à connexion affine et des variétés riemanniennes.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Sur les groupes d’holonomie homogènes de variétés à connexion affine et des variétés riemanniennes

Reference 1

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.807718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d9a54e55-ccf6-4547-8ad6-db175b7c3120 · outbound

This paper cites Geometric aspects.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Geometric aspects

Reference 2

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.805916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dd73741d-1776-435e-8739-9cd847c1cfba · outbound

This paper cites Shi-type estimates and finite-time singularities of flows ofG2 structures.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Shi-type estimates and finite-time singularities of flows ofG2 structures

Reference 3

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.803870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d4fc81c-c03b-46d6-ae86-6720eb354690 · outbound

This paper cites an unresolved cited work.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T20:57:03.853085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5b0073a-4b9f-45be-94c0-2f5a1f6dcfe3 · outbound

This paper cites American Mathematical Society, Providence, RI, 2004, pp.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures American Mathematical Society, Providence, RI, 2004, pp

Reference 5

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.796749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1abf0679-9843-4f59-aeb5-62688e1eca1c · outbound

This paper cites Harmonic flow ofSpin(7)- structures.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Harmonic flow ofSpin(7)- structures

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-28T21:02:37.800507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 944c5d2d-707d-4360-8875-c36dbbe2fd68 · outbound

This paper cites A gradient flow of Spin(7)-structures.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures A gradient flow of Spin(7)-structures

Reference 7

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.809546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 18a70336-417c-4295-96fe-4040c6b74781 · outbound

This paper cites Three-manifolds with positive Ricci curvature.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Three-manifolds with positive Ricci curvature

Reference 8

Resolution: verified exact; doi, observed 2026-06-28T21:02:37.811309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 758aec50-c787-46b0-af2a-37f1c696da11 · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures The entropy formula for the Ricci flow and its geometric applications

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-01T20:36:11.653051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0e35708e-a265-4222-9a2d-9873515d220c · outbound

This paper cites Deforming the metric on complete Riemannian manifolds.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures Deforming the metric on complete Riemannian manifolds

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T20:57:03.853085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94d34cf1-7607-4719-afd1-ba6da6310223 · outbound

This paper cites 1–85 (cit.

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures 1–85 (cit

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T20:57:03.853085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 53c3d042-eeb3-4cb5-9f11-55c0691d8926 · inbound

Flows of geometric structures II cites this paper.

Flows of geometric structures II Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T00:10:10.866166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.