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Paper Citation Record · LEDGER

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.03405.

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

pith.paper-citation-record.v1
2608.03405 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:08:23.793178Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

13 of 13 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc1fe6d5-72cf-47c4-89b9-0940c76ec6c5 · outbound

This paper cites Advances in Mathematics , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Advances in Mathematics , author =

Reference 1

Resolution
verified exact
doi, observed 2026-08-15T15:08:23.966150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.498782Z digest=sha256:616d72d61129df6c4c82f37bc301a47a8fddb30ef7b9ef4c024361e42e97676b

Observation c4f2be5d-0511-4200-9cf2-f86ed06f223b · outbound

This paper cites 2025 , eprint=.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity 2025 , eprint=

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:24.306288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.543612Z digest=sha256:26db08eb971bd8dce8af09a5247184cb147eb3de657a0d5ba0bc5576b6fb3f3a

Observation 565eea95-9d6a-42ab-b7a9-bff6a4551ecc · outbound

This paper cites Journal of Functional Analysis , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Journal of Functional Analysis , author =

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.549416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.549416Z digest=sha256:514df94c8598538a3e3393b93c0ebc9f7189a214e830c177f67d61aaf487a65c

Observation 945e149d-d067-4b75-aa28-7e0a9acfebb0 · outbound

This paper cites Inventiones Mathematicae , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Inventiones Mathematicae , author =

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.556287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.556287Z digest=sha256:cdafebaa7ae699901f74256f63a765089207e72b72f03e1be64def205079178e

Observation 4a1c4124-2fd3-42d7-b13c-3add11e66f82 · outbound

This paper cites Communications on Pure and Applied Mathematics , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Communications on Pure and Applied Mathematics , author =

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.562145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.562145Z digest=sha256:1b4098888edc404ba4ffbb6d5b581b46f6cb9d7e20962ca1414b20a0a564c31d

Observation 1fa3db12-d478-43c4-8a88-14cf0a4e9fbc · outbound

This paper cites Lecture Notes in Mathematics , volume =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Lecture Notes in Mathematics , volume =

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:24.153380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.566111Z digest=sha256:0861c1c58e810755838888f1359e4d639c957f0a582f5cfdb41cab67c433a977

Observation 07a97424-2945-467d-9ea2-1f3099dca0c2 · outbound

This paper cites On the geometry of Riemannian manifolds with density.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity On the geometry of Riemannian manifolds with density

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.679147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.679147Z digest=sha256:1248b3d2ad245f79a461f2de8e5f0356d9949dfa5f7d7e6e1d109806a9ef86df

Observation 1bf960c2-3ce2-4d02-8d23-a7c2c0844308 · outbound

This paper cites The Journal of Geometric Analysis , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity The Journal of Geometric Analysis , author =

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.752678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.752678Z digest=sha256:475faa60db696876f1d6ce9a86c003b64649b5c496359578f0c474ce9bdd8fef

Observation b3225a93-747e-4869-97c9-2fbd46fa01d3 · outbound

This paper cites Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:08:23.989251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.775901Z digest=sha256:5502571fd40d0fd03bbab65f827366b84808ec3ceffa7b3a57fb52e062b9d8b3

Observation 7ca6733c-6fc5-425c-a902-65bc820817d5 · outbound

This paper cites Optimal transport: old and new , series =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Optimal transport: old and new , series =

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:24.140115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.780306Z digest=sha256:52a514ce2f7c87f61827e6ae5af8903584ca2d66d3dc757fee186130f4ca7275

Observation d40c101f-65d0-4a6d-a755-2924c8ef0c59 · outbound

This paper cites Geometric and Functional Analysis , author =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Geometric and Functional Analysis , author =

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.784339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:23.784339Z digest=sha256:1f44a317242bfc46d09e2c3f4b5bff88c6dfafdff9efa657fcc388c9a28db76b

Observation 4663be78-1746-4b3d-9a6e-8e200ec3fb8e · outbound

This paper cites Eulerian calculus for the displacement convexity in the.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Eulerian calculus for the displacement convexity in the

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:24.127738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.789553Z digest=sha256:855568760af1d1e4220e133f1432f92c6d27a7df3b569e500ccc3916a0c8c204

Observation efaebf0a-afe1-445f-b5e4-5acc671e1719 · outbound

This paper cites Inventiones Mathematicae , volume =.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity Inventiones Mathematicae , volume =

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:24.115674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T15:08:23.793178Z digest=sha256:1f30dfd464867c1073d6cfb83c87274b19f28bd73d4cfd011899dc110c501d14

Pith citing papers

No inbound Pith citation observations are available.