Paper Citation Record · LEDGER

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients

As of 10 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2502.09121.

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

pith.paper-citation-record.v1
2502.09121 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T22:53:16.527780Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

25 of 25 outbound references displayed

verified exact3
verified fuzzy20
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10605036-fd45-4145-b302-fd679db7dad5 · outbound

This paper cites FZZ formula of boundary Liouville CFT via conformal welding.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients FZZ formula of boundary Liouville CFT via conformal welding

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:17.027857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3b29d92d-e0a4-4d68-9b90-0cb99d805865 · outbound

This paper cites An elementary approach to Gaussian multiplicative chaos.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients An elementary approach to Gaussian multiplicative chaos

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:17.011848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 844aa1ce-fe2f-4953-a12e-8a5791d57a68 · outbound

This paper cites Extrema of the two-dimensional Discrete Gaussian Free Field.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Extrema of the two-dimensional Discrete Gaussian Free Field

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.994409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1dd66894-0707-45ae-9049-7e6114ab95d4 · outbound

This paper cites Gaussian free field and Liouville quantum gravity.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Gaussian free field and Liouville quantum gravity

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T22:53:16.415827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9494d18f-9975-4ef0-a180-5f6bc914b073 · outbound

This paper cites Liouville quantum gravity on the Riemann sphere.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Liouville quantum gravity on the Riemann sphere

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.977489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ec2cc9c9-58cd-48dc-b427-2b383b1db05e · outbound

This paper cites Critical Gaussian multiplicative chaos: Convergence of the derivative martingale.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Critical Gaussian multiplicative chaos: Convergence of the derivative martingale

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.959980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b311bb3-f332-4ca7-a46d-0117d5f93df3 · outbound

This paper cites Renormalization of Critical Gaussian multiplicative chaos and KPZ relation.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Renormalization of Critical Gaussian multiplicative chaos and KPZ relation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.942462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a8f2be6-e412-4c72-a2c5-424c3b655ee8 · outbound

This paper cites Review on the probabilistic construction and Conformal bootstrap in Liouville Theory.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T22:53:16.440001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 248808dd-e7e1-4eb3-bdbe-1d76218eb175 · outbound

This paper cites Conformal bootstrap in Liouville theory.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Conformal bootstrap in Liouville theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.925094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 08407ce7-f44b-4850-a4fa-bff330fab791 · outbound

This paper cites Liouville Quantum Gravity on the unit disk.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Liouville Quantum Gravity on the unit disk

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.907051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c993645d-9129-4626-9d58-3319bc3d581c · outbound

This paper cites Moment bounds for Gaussian multiplicative chaos with higher-dimensional singularities.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Moment bounds for Gaussian multiplicative chaos with higher-dimensional singularities

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T22:53:16.626976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 84931a7d-305d-487c-b909-370a4c7952a5 · outbound

This paper cites Decompositions of log-correlated fields with applications.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Decompositions of log-correlated fields with applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.889899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d0e2246-eda5-4ff0-839c-f11f4512c24e · outbound

This paper cites Sur le chaos multiplicatif.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Sur le chaos multiplicatif

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.871489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c19d9c26-6441-4cfc-8085-fad51cd0aeca · outbound

This paper cites Sur certaines martingales de Benoit Mandelbrot.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Sur certaines martingales de Benoit Mandelbrot

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.852791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 76b03304-5f22-438f-88f6-53b6aad793df · outbound

This paper cites Integrability of Liouville theory: proof of the DOZZ formula.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Integrability of Liouville theory: proof of the DOZZ formula

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.835927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d285d83-e6bb-4172-9f85-6225d4117a7a · outbound

This paper cites Critical Gaussian multiplicative chaos revisited.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Critical Gaussian multiplicative chaos revisited

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.819693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6c7c1844-f4b5-4e3d-b7af-775ce373ac75 · outbound

This paper cites Critical Gaussian multiplicative chaos: a review.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Critical Gaussian multiplicative chaos: a review

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.804150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 13f00cf9-7ca9-4095-ab55-711ab5473d03 · outbound

This paper cites The Fyodorov-Bouchaud formula and Liouville conformal field theory.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients The Fyodorov-Bouchaud formula and Liouville conformal field theory

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.785664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 35f7bd7e-6c33-4cdb-affe-cf0c50aaf1fa · outbound

This paper cites Gaussian multiplicative chaos revisited.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Gaussian multiplicative chaos revisited

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.764181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ce4ccc49-d74d-4d9e-9952-ac2916b19663 · outbound

This paper cites Gaussian multiplicative chaos and applications: A review.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Gaussian multiplicative chaos and applications: A review

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.742104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fa340315-52f8-4bd2-b863-3486998c1dfe · outbound

This paper cites The tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients The tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.722513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e83a7779-c041-4871-846a-65b5aae3be1e · outbound

This paper cites Integrability of boundary Liouville conformal field theory.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Integrability of boundary Liouville conformal field theory

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.703502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2b800d78-8e0a-48af-add2-e8fffb8c8f46 · outbound

This paper cites Lecture notes on Liouville theory and the DOZZ formula.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Lecture notes on Liouville theory and the DOZZ formula

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T22:53:16.602170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1b5b999d-98e2-46ad-998e-b9bbcd4c42bd · outbound

This paper cites Tail universality of critical Gaussian multiplicative chaos.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Tail universality of critical Gaussian multiplicative chaos

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-07T22:53:16.575483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f0fe33b4-79c8-4d98-b4f1-b65832b3580d · outbound

This paper cites Universal tail profile of Gaussian multiplicative chaos.

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients Universal tail profile of Gaussian multiplicative chaos

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:53:16.684777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.