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Paper Citation Record · LEDGER

The vanishing rate of Weil-Petersson sectional curvatures

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.09859.

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

pith.paper-citation-record.v1
1908.09859 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:34.443858Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 034a310e-1e69-4bef-8e56-e14d7e4efe03 · outbound

This paper cites Burns, H.

The vanishing rate of Weil-Petersson sectional curvatures Burns, H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.688377Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.375737Z digest=sha256:118fce9ceeb7f04cd4a96b89bbaefb76c6c65576eba3357dd7a7e0b6b68a8341

Observation f68f51aa-be99-4a52-b190-13360510ad37 · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.674216Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.380759Z digest=sha256:17d2bfdcc578ac22a6a3b696dabc97123ae534c4795cd5db8b9cb30b9fdbc88a

Observation 14b6e819-75d9-4f08-8268-91df71371618 · outbound

This paper cites Geometry and spectra of compact R iemann surfaces , volume 106 of Progress in Mathematics.

The vanishing rate of Weil-Petersson sectional curvatures Geometry and spectra of compact R iemann surfaces , volume 106 of Progress in Mathematics

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.660618Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.385280Z digest=sha256:c25709f1c6d69b610399cdf21e5af716f4b76c86c616615222ce1aeadcee231a

Observation 797f0885-6ab1-4d4b-a898-68e3f2ee2fd6 · outbound

This paper cites Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures.

The vanishing rate of Weil-Petersson sectional curvatures Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:14:34.481488Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.389698Z digest=sha256:2f9022b1299f44c361ff6f4f3ff983b7c6d151723e1a2cb43834bc383aaac7c4

Observation a4414c51-4288-496f-ac8b-63eac92ccd68 · outbound

This paper cites Growth of the W eil- P etersson diameter of moduli space.

The vanishing rate of Weil-Petersson sectional curvatures Growth of the W eil- P etersson diameter of moduli space

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.646689Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.394466Z digest=sha256:0f5de7c96f04fab1485a17c64ecad965d3925c784dfc3e3fab9a83cf736b5b5a

Observation 36dfd619-c61b-4303-b048-765cd9e600b5 · outbound

This paper cites Classification of W eil- P etersson isometries.

The vanishing rate of Weil-Petersson sectional curvatures Classification of W eil- P etersson isometries

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.632460Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.398622Z digest=sha256:4322f3c100d73bf79aaf71402209ee10de3553a0df0f7249b7aa0a678dea6f6d

Observation b07939c1-4ad4-412d-a99d-7ea962a9e028 · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.617500Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.403306Z digest=sha256:00b977988f4956e8442f87146d34ea49e0fb508a5828d0d87c09220f5dace74d

Observation c989e56e-ff9c-4ebb-92dc-4d5cc8473263 · outbound

This paper cites Trudinger.

The vanishing rate of Weil-Petersson sectional curvatures Trudinger

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T11:14:34.407666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:14:34.407666Z digest=sha256:a0026f47e7d0c62e618b53c1c0b67e34d69394633c93da9e4ae805d876b2deaf

Observation d007f3db-42e7-4e57-b909-51fbaa34f305 · outbound

This paper cites Kerckhoff.

The vanishing rate of Weil-Petersson sectional curvatures Kerckhoff

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T11:14:34.411846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:14:34.411846Z digest=sha256:aea236dbba4cd124cfc88acdf28821da6577fe409bd130df03fff757726195bc

Observation bc7dfa72-a541-4e12-b610-7d8b9ef0b52b · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.588317Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.415923Z digest=sha256:a5968f3680f14543749b1106cc4a1f6c54a65e7e0cb786975187be9fc4367f8b

Observation c216ebdc-d8f5-4e06-9bca-7df286d215aa · outbound

This paper cites uller theory in R iemannian geometry . Birkh\.

The vanishing rate of Weil-Petersson sectional curvatures uller theory in R iemannian geometry . Birkh\

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.575538Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.420027Z digest=sha256:325047de1634dbf824f476f60be298721a8da87491a6a581a696ce878f60ee92

Observation a9a4a3d7-3c37-4ffd-a95b-c6e6c9fc2773 · outbound

This paper cites Wells, Jr.

The vanishing rate of Weil-Petersson sectional curvatures Wells, Jr

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:14:34.562698Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.424839Z digest=sha256:e2dcf12fa46b53812faa8a4fc8ac80e9f068ad818abf7f1eaa02c573bc254d90

Observation 39d944b4-6171-4281-ac34-1a888702e695 · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.548841Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.429154Z digest=sha256:b8c68592d4d286c9c12c091030602bfba9e0ec474b2d65bf5887cff2f614954a

Observation 7a52f6fc-805e-461c-859d-0d1a4ab2eed5 · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.535120Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.433119Z digest=sha256:150e5aeb684f011b472ab3f314ba9f7cf8a277fe440c1d71b1ddf0afcafaab92

Observation e34c9a66-5d2b-4e24-b842-f8e25867215a · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.522282Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.436740Z digest=sha256:a2f26cf04e14988d48c1eae409671d5e845cc90f680e4f28c18b199ccbeba812

Observation 87573f7e-fac2-443a-afea-34b7544b45aa · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.509061Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.440207Z digest=sha256:fff80ad602b69acc15d98df7d6f49753b0806e890d6610d69fdf65d7e96c2d48

Observation 4295e7e4-14ee-4f9b-b7d6-b785ea1c193b · outbound

This paper cites an unresolved cited work.

The vanishing rate of Weil-Petersson sectional curvatures Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:14:34.495789Z

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.

source=arxiv_source observed=2026-08-14T11:14:34.443858Z digest=sha256:5991fbddd7af7e378adc9d3a67bcc17fdb1917987a37de117b365d0462ea20c1

Pith citing papers

No inbound Pith citation observations are available.