Pith Number

pith:WEVUVPFQ

pith:2018:WEVUVPFQ4EUUCSHLXJWGJZQC3V

not attested not anchored not stored refs pending

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

Ewain Gwynne, Jian Ding

arxiv:1807.01072 v3 · 2018-07-03 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEVUVPFQ4EUUCSHLXJWGJZQC3V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

Receipt and verification

First computed	2026-07-05T00:57:03.330799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12b4abcb0e1294148ebba6c64e602dd5d9c8af35eb9b1ced4d84e21a51f66f2

Aliases

arxiv: 1807.01072 · arxiv_version: 1807.01072v3 · doi: 10.48550/arxiv.1807.01072 · pith_short_12: WEVUVPFQ4EUU · pith_short_16: WEVUVPFQ4EUUCSHL · pith_short_8: WEVUVPFQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WEVUVPFQ4EUUCSHLXJWGJZQC3V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b12b4abcb0e1294148ebba6c64e602dd5d9c8af35eb9b1ced4d84e21a51f66f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f8e03f55841a16476c2631b20397412d52fcb980a63078633ad75a99560675",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-03T10:37:38Z",
    "title_canon_sha256": "c380eb104f5bb66c04c3b97103d7b7a8b21b85140fab693bc9af86791a9aa101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01072",
    "kind": "arxiv",
    "version": 3
  }
}