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Paper Citation Record · LEDGER

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2606.27724.

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

pith.paper-citation-record.v1
2606.27724 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T03:37:59.434861Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b53fa83-57ca-4e92-8a1f-dc7e6ad1d881 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:8658d8974c17c21eb13deab3b8c9da072c4a9977d117513298c2765b92dd6e4a

Observation 587e4162-eec4-48d1-be8f-4284bd30dc92 · outbound

This paper cites Bass,The degree of polynomial growth of finitely generated nilpotent groups, Proc.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Bass,The degree of polynomial growth of finitely generated nilpotent groups, Proc

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:57bfda706be09954b693f9c09edec159bb99574b14cdb8a3512871b82648a1ce

Observation fd9f85a9-872e-465d-8bda-957fb71a90e9 · outbound

This paper cites Bru` e, A.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Bru` e, A

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:35:51.099632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:20499500438f8ff8edea3c5054896c35c2e19bb19a2536d701e57e6dc840bbe8

Observation 46e5dfe2-f8f8-4471-954a-97aa852bdf57 · outbound

This paper cites Cucinotta, M.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Cucinotta, M

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T17:35:51.103148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:d00834f04b1183db82ad7289bd9b18d56b99d9c2d24a7f28b2bfd3f95bdf9b30

Observation 3b329632-57cf-484d-b693-e7031a77ac2f · outbound

This paper cites Structure of fundamental groups of manifolds with Ricci curvature bounded below.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Structure of fundamental groups of manifolds with Ricci curvature bounded below

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:35:51.096629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:d6231408c0a07c65299d62c6e45f63dc0b5c6c11b2ae91965c63540bee263c0a

Observation c03b55ae-e88a-4ab0-9c99-65cdea793943 · outbound

This paper cites On the topology of manifolds with nonnegative Ricci curvature and linear volume growth.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 On the topology of manifolds with nonnegative Ricci curvature and linear volume growth

Reference 6

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T17:35:51.103014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:9a03b971679e62ff09b1dfb60d9f8d3c498fcb8b724bb11171df289dded5afd1

Observation 55e5211c-1a75-4e79-8711-b12487f042d2 · outbound

This paper cites 2, 211–249 (eng).

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 2, 211–249 (eng)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:c8e1aee342d8db156b8651774c75db02e5e3fad0a8283525cc3c9abfdf16eca1

Observation a9855b5c-38fe-47d5-a016-764ac7cfa89a · outbound

This paper cites Ann.394(2026), no.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Ann.394(2026), no

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:f758e2c5edd16a8c0892c9a77a192a70273fc6f627ef60dac49ea8879317fd74

Observation 327926ba-28cb-45a3-9d2b-4dfdc31e14d4 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:5148f47d4475fa1a257d66ede062d7f59896428b4e65084f37cc22d672c63390

Observation fc9f526d-d756-467f-8929-3b61be7bacf4 · outbound

This paper cites an unresolved cited work.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:0a2cfd19e3ccdd28a1bbf04f1c7afb52923072fe4c8a8f6661dfe16a3d0f7492

Observation 7823e3d0-8fcf-42ef-ba4a-0ebf4d580805 · outbound

This paper cites Differential Geom.54(2000), no.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 Differential Geom.54(2000), no

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:fde7f549ea769bb4103908884c93d985736fb400297a0ba5a4badf897e20477f

Observation 6a97d46c-ebbe-4dda-8fba-af5ddfc42e58 · outbound

This paper cites MR2638146 [Wil00] Burkhard Wilking,On fundamental groups of manifolds of nonnegative curvature, Differential Geom.

Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12 MR2638146 [Wil00] Burkhard Wilking,On fundamental groups of manifolds of nonnegative curvature, Differential Geom

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-29T03:37:59.434861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T03:37:59.434861Z digest=sha256:13706ed5deb3c0a8da93738bd415b35523e7b9190a7eca7e9d679759e85cc6e6

Pith citing papers

No inbound Pith citation observations are available.