Pith. sign in

Paper Citation Record · LEDGER

The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1807.01072.

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

pith.paper-citation-record.v1
1807.01072 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:02.529558Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:17:40.867127Z

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 150ac723-f12c-4ea2-bcf0-944954eca6fb · inbound

Random surfaces and Liouville quantum gravity cites this paper.

Random surfaces and Liouville quantum gravity The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T13:12:02.529558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:12:02.529558Z digest=sha256:a3781bbc8b4676495a55f8e5b054d5be25dc4446499fbe71e383c6d9706c7d9a

Observation ab842c1a-5527-4845-b832-ac6eecb0015f · inbound

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity cites this paper.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:17:40.870466Z

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=pdf_text observed=2026-08-14T11:17:40.236659Z digest=sha256:752af24dd5fd9ba0b1c90e038f7a2a1d24c73751a133763d67f7c6ff13c0208b