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Paper Citation Record · LEDGER

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:1908.09469.

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

pith.paper-citation-record.v1
1908.09469 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:40.348591Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:12:02.471635Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T13:12:03.399749Z

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 239bedcd-5333-4988-9e21-6e6d6e692e4f · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 1

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Observation 9fdf3d87-ccaf-4712-915c-83e50247d1a7 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 2

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This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 3

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 4

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Observation cfe733ae-f7df-4af1-8197-41bdf2a600a0 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 5

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Observation f71f1dc5-a3c7-4681-ba00-85e46a216546 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 6

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Observation 8d1c94f1-0ad8-4b39-8a85-d06d3d54d2f5 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 7

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Observation 67a68fb7-0994-42e7-9838-578289efbbed · outbound

This paper cites Theory Related Fields 128 161–212.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Theory Related Fields 128 161–212

Reference 8

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 9

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Observation 2b15863e-683b-4d78-b02d-036df6432a12 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 10

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Observation 37331cdd-2e9b-4314-9a1a-ce030ac552af · outbound

This paper cites 210 319–401.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity 210 319–401

Reference 11

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Observation 1accaa9b-4c24-485b-ab31-edae089dc5e1 · outbound

This paper cites Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding

Reference 12

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Observation a229fb52-15f6-4b47-b188-7d50a1db139f · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 13

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 14

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Observation 79d5f058-c1b7-484d-bde9-6fe6f7614c1c · outbound

This paper cites Random walk on random planar maps: spectral dimension, resistance, and displacement.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Random walk on random planar maps: spectral dimension, resistance, and displacement

Reference 15

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Observation 404861cc-57bf-4434-8f9e-d5611641c5c3 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 16

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 17

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 18

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 19

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Observation ad916354-2b7d-49c5-8055-2805d244a283 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 20

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 21

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 22

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 23

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Observation 9b5e566b-0b6f-4765-b707-c4fffe9783aa · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Upper bounds on Liouville first passage percolation and Watabiki's prediction

Reference 24

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

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

Reference 25

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Observation b8f928a2-a727-4534-ab37-b4ecfd0c4201 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Weak LQG metrics and Liouville first passage percolation

Reference 26

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This paper cites Existence and uniqueness of the Liouville quantum gravity metric for $\gamma \in (0,2)$.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Existence and uniqueness of the Liouville quantum gravity metric for $\gamma \in (0,2)$

Reference 27

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Source-reported events for the cited work

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This paper cites Bounds for distances and geodesic dimension in Liouville first passage percolation.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Bounds for distances and geodesic dimension in Liouville first passage percolation

Reference 28

Resolution
verified exact
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Observation 90d8c38f-d44b-493e-9262-1e934fbf837e · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Comparison of discrete and continuum Liouville first passage percolation

Reference 29

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Bipolar orientations on planar maps and SLE$_{12}$

Reference 30

Resolution
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Observation bdc9d81d-54e1-4e2e-b322-c9a6fceb232b · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity External diffusion limited aggregation on a spanning-tree-weighted random planar map

Reference 31

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Source-reported events for the cited work

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Observation 441e03c2-ebec-40f9-a29d-e0cd510f6e34 · outbound

This paper cites Schnyder woods, SLE(16), and Liouville quantum gravity.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Schnyder woods, SLE(16), and Liouville quantum gravity

Reference 32

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 33

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity thesis Universit Bordeaux I

Reference 34

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 35

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Observation c0c1e369-6adc-4b75-a270-c14e114aa989 · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 36

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Observation 47df0622-d412-417c-b42c-210e6eed509e · outbound

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Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:41.031730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f6678d66-e207-4554-aa5f-69167e376e37 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:41.023034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 07a80279-c774-478e-8f25-933a09c820fc · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:41.014438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8f9a2efa-dd25-4244-84fd-67a702fafb98 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-08-14T11:17:40.783187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.291073Z digest=sha256:b7e4847b8b28c73501b51d9864ea1cd982b372d34b470dd26b92dd7f5e1c0f06

Observation 281614c0-4306-40c3-be49-c470ea20bd49 · outbound

This paper cites Plane bipolar orientations and quadrant walks.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Plane bipolar orientations and quadrant walks

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:17:40.574942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3aca40d3-bfdc-4a40-85ce-64876b8983b0 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:41.006399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 44cdf400-42d5-44d0-9965-8f9974592b4b · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.998411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.301457Z digest=sha256:bca8b26be01669d524b26741508af26946945aa6e7f88b76c0f378e81b597d26

Observation 86478519-b01e-4fca-84c8-59c8c6c6330d · outbound

This paper cites 298 104–114.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity 298 104–114

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:40.988966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.304695Z digest=sha256:3841e6fffebdad7645b68a8b299140f2108e04fda2cd9e080d3be9c6c474d7e4

Observation 11c61d52-7451-4a4f-aa3b-21a423cf5b49 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.979920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.307807Z digest=sha256:435494c1be7fb2b67de16d095736c444dd20526a084b630e2f079481d20b9e09

Observation 6fbd57c6-c151-4738-a03a-ed74a892a465 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.970606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5e1fb9ab-3144-4ddb-961b-7bc6b7ac51b3 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.961971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.314118Z digest=sha256:a4e8f9615bd5cae0554685f97b4b834c963236286105d046bce20ab6e58a83c5

Observation 8400fa1c-78e0-466b-8d2d-a50924595961 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.952376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.317548Z digest=sha256:219d74c50bef4097329f8d319dbbe1094c83d2b3e842ef39ac37c4dd9617f6b5

Observation 516c3337-18f5-400f-867a-5c00fb75eebd · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 49

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:17:40.562213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.320575Z digest=sha256:8d9b0e90a614d8eeb39af24ca2941c076d993a9c395b7538a2afefe28916b3a2

Observation 5ea1cc7b-9cf0-4c2f-bd6a-c5b7b19c825e · outbound

This paper cites The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:17:40.407244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.323717Z digest=sha256:c106131db8863ff17ae57fbeaad805e96a1baf74c70c8d72b7511acb19c7ceca

Observation a207fd99-1927-409a-b180-110edffc8672 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.943007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.328035Z digest=sha256:dca80ad041c62078bdad161d6ae4814488f2d77580d7ccd7f05796e45d7c4184

Observation 878aa8e3-dc3d-4e25-8973-9de69e302b23 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.934099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.331004Z digest=sha256:17d659cc3b30f76e3fe1732b7817fac1b7cd61b6443dcdc7bcb548952228d129

Observation 0a184c82-7239-4142-abdb-393a2c020419 · outbound

This paper cites Theory Relat.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Theory Relat

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:40.925400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.333968Z digest=sha256:d7a4aac13ff17787d555340f6183514061291704c5c47374e1d39bc3bdb9a7a6

Observation ae75319a-0489-4c8e-86da-24ae0b9a4e9d · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.916271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.337028Z digest=sha256:57cf657d52c46a212f1b6fea6fc3a0def7d1082d9b064b11833fdacbe3e07f91

Observation b84dca55-4a1e-4c44-bb53-e4510a072983 · outbound

This paper cites Heat kernel for Liouville Brownian motion and Liouville graph distance.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Heat kernel for Liouville Brownian motion and Liouville graph distance

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:17:40.393660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.340996Z digest=sha256:4809201e08690c31dbe4e70555bf62c7aa2185719ee114570f57b28a47658f25

Observation 4fd8b12b-4585-483b-9322-cb75997a3336 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:40.907665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.344395Z digest=sha256:c3f3d440e23a9c9c7161d8c302174af44b9b95a72f1254441ba146b911f56826

Observation 4edd85c6-738a-43bf-b5d5-d22a99af8933 · outbound

This paper cites an unresolved cited work.

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity Unresolved cited work

Reference 57

Resolution
verified exact
doi, observed 2026-08-14T11:17:40.379199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:17:40.348591Z digest=sha256:b57abfe14086e657d888f4d6e019f6a9d1621c0e2aa68eda10e27581457922b5

Pith citing papers

Observation a67c00df-1787-4d5b-ac2e-d2edcaaace85 · inbound

Random surfaces and Liouville quantum gravity cites this paper.

Random surfaces and Liouville quantum gravity Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:12:03.404787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:12:02.471635Z digest=sha256:c8ea0cb537c3c0c5018b766e9f22ed831ed55aa779ca91dbf4378287f630f6c6