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Paper Citation Record · LEDGER

Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2307.02378.

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

pith.paper-citation-record.v1
2307.02378 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:21:49.792409Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T15:36:08.040907Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • 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 0516d53c-3c47-4cb8-a763-1e42b393a207 · inbound

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds cites this paper.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:49.792409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:49.792409Z digest=sha256:5c8d2004df49428691288ca113c4272c4495b96308ea0409852eb0ffcced977a

Observation b8aabf75-0e14-4abb-bd5e-ca9cd8b07f35 · inbound

Diffusion Operator Geometry of Feedforward Representations cites this paper.

Diffusion Operator Geometry of Feedforward Representations Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:36:08.044594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-09T19:35:40.860546Z digest=sha256:d6e22aec5d83eed4e6f564d6275988dc41e8206a11719e662ccd5df3add23447

Observation 48cc4c8a-f8b9-424d-b577-204aa07be72e · inbound

From Direction to Magnitude: How Multimodal Instruction-Tuning Reorganizes the Geometric Encoding of Identity-Specifying Prompts in Transformer Hidden States cites this paper.

From Direction to Magnitude: How Multimodal Instruction-Tuning Reorganizes the Geometric Encoding of Identity-Specifying Prompts in Transformer Hidden States Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Reference 34

Resolution
unresolved
no resolver link, observed 2026-07-14T15:07:35.231184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T15:07:35.231184Z digest=sha256:7f44ae308a5670c76906eafe97fcd29b1c80c94994578f08d2b9d619109696ef

Observation 039c5cc1-1654-42a1-a86e-0a47bffba73f · inbound

From Direction to Magnitude: How Multimodal Instruction-Tuning Reorganizes the Geometric Encoding of Identity-Specifying Prompts in Transformer Hidden States cites this paper.

From Direction to Magnitude: How Multimodal Instruction-Tuning Reorganizes the Geometric Encoding of Identity-Specifying Prompts in Transformer Hidden States Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-04T01:47:04.050520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T01:47:04.050520Z digest=sha256:769ad10d79e845cae8760754c0a72c9e0e380a1fa01a8e8f4fd2c566809f73b5