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Paper Citation Record · LEDGER

Ricci flow and contractibility of spaces of metrics

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1909.08710.

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

pith.paper-citation-record.v1
1909.08710 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:53:54.402342Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T05:06:47.890361Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e67269de-eb30-44e8-a638-c7323f0d2d10 · inbound

Contractibility results for certain spaces of Riemannian metrics on the disc cites this paper.

Contractibility results for certain spaces of Riemannian metrics on the disc Ricci flow and contractibility of spaces of metrics

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T14:53:54.402342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:53:54.402342Z digest=sha256:eda30c991e4115c8cca300af74ae17c35c3791de08baf4bc87937594b2c12beb

Observation 8ab4b242-1a66-4ffd-801b-1f94c3dc1075 · inbound

Mean Curvature Flow and Heegaard Surfaces in Lens Spaces cites this paper.

Mean Curvature Flow and Heegaard Surfaces in Lens Spaces Ricci flow and contractibility of spaces of metrics

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-24T05:13:55.859231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-24T05:12:09.717862Z digest=sha256:99e8e82d24370cc504df12f7c65e4b7ecbe537164dbbe337538bc4b4f0a5e221

Observation 03a0fb5d-a7f7-4539-a706-41f74336e56f · inbound

Relative eta invariant and uniformly positive scalar curvature on non-compact manifolds cites this paper.

Relative eta invariant and uniformly positive scalar curvature on non-compact manifolds Ricci flow and contractibility of spaces of metrics

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-24T03:45:58.488297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-24T03:45:41.592849Z digest=sha256:b674e1c88c8639d879aaf4903ebb8c731733f98fd513a9337faef2e97661ca73

Observation 221fb145-36fd-4142-a4ef-3521f91228b2 · inbound

Classification of ancient noncollapsed flows in $\mathbb{R}^4$ cites this paper.

Classification of ancient noncollapsed flows in $\mathbb{R}^4$ Ricci flow and contractibility of spaces of metrics

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T15:56:41.377552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T15:56:41.377552Z digest=sha256:ed3aabb1f56dfdc8a845f1797068f3125240f5dcce43b7023069581e47b2d2ad

Observation 1070d084-1f22-41b2-adb7-7393bafac662 · inbound

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature cites this paper.

Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature Ricci flow and contractibility of spaces of metrics

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T23:09:10.301991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:09:10.301991Z digest=sha256:da7eba420f429ae1d6500077de8823c467f5fcb687821f7cf9cda304e95ccd7c

Observation f9825a4f-c3d8-40e3-a6b2-8f9c15c136e7 · inbound

On Topology of the Infinite-Dimensional Space of Fibrations cites this paper.

On Topology of the Infinite-Dimensional Space of Fibrations Ricci flow and contractibility of spaces of metrics

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T18:55:03.068359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:55:03.068359Z digest=sha256:a5c544193f8033b457ba80e8a375867cafa4f29449585301e906b31e7ac1223d

Observation eb44491e-c2da-45cf-b9a6-f13468934ee9 · inbound

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric cites this paper.

Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric Ricci flow and contractibility of spaces of metrics

Reference 4

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T05:06:47.891571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-10T05:04:10.503198Z digest=sha256:94446231a6d30efae7f522ee87866df69be627834a9c71a43917835b2b404b6a