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Paper Citation Record · LEDGER

On the Betti and Tachibana numbers of compact Einstein manifolds

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.07340.

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

pith.paper-citation-record.v1
1908.07340 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:30:39.952192Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b5632d20-1a0b-4813-9fb4-c50d16a75840 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7d75a918-53a7-4df5-a218-fa9aecd14656 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 344ba1e8-2d57-407d-b147-6c7bd4efb1e4 · outbound

This paper cites I., Curvature and Homology, Dover Publications Inc., 1998.

On the Betti and Tachibana numbers of compact Einstein manifolds I., Curvature and Homology, Dover Publications Inc., 1998

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:40.223370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 37a8b266-1c75-44d3-ad53-bd5b6af7e398 · outbound

This paper cites Math., 142, 435–450 (2000).

On the Betti and Tachibana numbers of compact Einstein manifolds Math., 142, 435–450 (2000)

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3468b171-8210-4c6a-8ee9-afdd078c5f2a · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:40.202488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d4861c7e-36c6-4b8e-91fc-de26d477f25b · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cebedb68-1d7e-42f0-bb23-e1fe4f5f89d5 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:40.181931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9edc7b94-8440-45cb-832d-642fe0adecd0 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:40.171396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 50183864-1d90-4756-a2d3-a35519689833 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:40.161158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dedef52e-7ad0-4650-8da3-8c79e7ddf939 · outbound

This paper cites Japan Acad., 50, 301–302 (1974).

On the Betti and Tachibana numbers of compact Einstein manifolds Japan Acad., 50, 301–302 (1974)

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5bfbc3e8-0d94-4d51-84a3-9009bdcc2348 · outbound

This paper cites of Math., 167, 1079–1097 (2008).

On the Betti and Tachibana numbers of compact Einstein manifolds of Math., 167, 1079–1097 (2008)

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 897c1c46-b705-476d-af88-053ca78b432c · outbound

This paper cites of Mat h., 127, 199–227 (1988).

On the Betti and Tachibana numbers of compact Einstein manifolds of Mat h., 127, 199–227 (1988)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:40.126972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5ee8fc06-be3c-446c-8a61-4ca8f7500914 · outbound

This paper cites Curvature and T opology of Riemannian Manifolds.

On the Betti and Tachibana numbers of compact Einstein manifolds Curvature and T opology of Riemannian Manifolds

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c291d81d-e264-41c3-9fca-972d4474941d · outbound

This paper cites INC, Orlando, 1984.

On the Betti and Tachibana numbers of compact Einstein manifolds INC, Orlando, 1984

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 66177b71-cf7a-4e58-bdb0-82fd90b6909a · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3812733c-f038-477c-94f1-a20ef0694d8a · outbound

This paper cites Journal, 21, 56–64 (1969).

On the Betti and Tachibana numbers of compact Einstein manifolds Journal, 21, 56–64 (1969)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:40.082227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 85b15688-1a5f-453f-ac53-d88a4084626e · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9d2098e2-1862-4293-a1f2-fb281f959762 · outbound

This paper cites E., Curvature and Tachibana numbers, Mat.

On the Betti and Tachibana numbers of compact Einstein manifolds E., Curvature and Tachibana numbers, Mat

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b1bf4c78-42d9-46fb-8932-41e52aada887 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 19

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9159689d-ce95-4c29-9bef-e5dfd29adee0 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation adc59a54-8374-496a-9b05-81364531c5fc · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 22845141-8451-4f42-8231-9f0757bf0330 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f875b61c-4f92-4f64-9ad8-498268345182 · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 23

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 352c495c-4866-458a-84e1-23962496292e · outbound

This paper cites an unresolved cited work.

On the Betti and Tachibana numbers of compact Einstein manifolds Unresolved cited work

Reference 24

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

No inbound Pith citation observations are available.