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Paper Citation Record · LEDGER

Spectral Obstructions to Contracting Transport Maps on Curved Spaces

As of 21 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 2 inbound Pith citation observations for arXiv:2605.24705.

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

pith.paper-citation-record.v1
2605.24705 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:07:19.892972Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:00:11.075056Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T07:47:44.647202Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2aa1bad7-f571-4fa6-b564-6ad96df2bf2b · outbound

This paper cites Homotopy groups of the moduli space of metrics of positive scalar curvature.Geometry & Topology, 14(4):2047–2076,.

Spectral Obstructions to Contracting Transport Maps on Curved Spaces Homotopy groups of the moduli space of metrics of positive scalar curvature.Geometry & Topology, 14(4):2047–2076,

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T05:07:19.882557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:07:19.882557Z digest=sha256:a7279a9d49028b6bb1e84b4bd647d7dfd8b73faa59c11a166f503e87feef60a4

Observation 9665c389-6f4c-4e46-960e-3b8a75562fd8 · outbound

This paper cites On Optimal Transport Maps Between 1 /d-Concave Densities.

Spectral Obstructions to Contracting Transport Maps on Curved Spaces On Optimal Transport Maps Between 1 /d-Concave Densities

Reference 2000

Resolution
unresolved
no resolver link, observed 2026-08-04T05:07:19.886828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:07:19.886828Z digest=sha256:3191ecace01de0226d7cf5d4747e858161386982a4955d28bcdc23466267aa8d

Observation 8f51247f-6905-4eb4-bcf2-ae51d39d1103 · outbound

This paper cites A generalization of caffarelli’s contraction theorem to nearly spherical manifolds.arXiv preprint arXiv:2512.01496,.

Spectral Obstructions to Contracting Transport Maps on Curved Spaces A generalization of caffarelli’s contraction theorem to nearly spherical manifolds.arXiv preprint arXiv:2512.01496,

Reference 2004

Resolution
unresolved
no resolver link, observed 2026-08-04T05:07:19.890083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:07:19.890083Z digest=sha256:6b5c47bca849abcad8aef0660ea685d1756886249257a9a54d5af7a772d5a967

Observation 7cf9c020-7e05-436a-a7e9-91de1c3e2f8b · outbound

This paper cites Moment sequences of Beta distribution.

Spectral Obstructions to Contracting Transport Maps on Curved Spaces Moment sequences of Beta distribution

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-04T05:07:19.892972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:07:19.892972Z digest=sha256:79e2b31f701fe47b7ebf7c311d81304c9e8563a749e148945f8a418757a2f2a6

Pith citing papers

Observation a2170310-88b3-4c2c-adef-24e0577356ea · inbound

Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\kappa,\infty)$ manifolds cites this paper.

Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\kappa,\infty)$ manifolds Spectral Obstructions to Contracting Transport Maps on Curved Spaces

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-03T07:47:44.648353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T11:48:29.085960Z digest=sha256:803faf673750944d025e8a9de5096853d94b3b1fd5008d031b4a9ffa0d1f18b0

Observation 8440d198-89cf-4957-8883-3ccc90f0c684 · inbound

Contraction Maps Generated by Inverse Mean Curvature Flow cites this paper.

Contraction Maps Generated by Inverse Mean Curvature Flow Spectral Obstructions to Contracting Transport Maps on Curved Spaces

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T03:00:11.075056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:00:11.075056Z digest=sha256:b474a6e4f4732833c0748cdcead0ce99e1ef82d42b0cfeab15fcb583bb6630d2