Pith Number

pith:HUSZIOVL

pith:2018:HUSZIOVLR2DSL3BFLGK6SBDDVS

not attested not anchored not stored refs pending

Percolation on triangulations: a bijective path to Liouville quantum gravity

Nina Holden, Olivier Bernardi, Xin Sun

arxiv:1807.01684 v5 · 2018-07-04 · math.PR · math-ph · math.CO · 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{HUSZIOVLR2DSL3BFLGK6SBDDVS}

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

Random surfaces and Liouville quantum gravity

Receipt and verification

First computed	2026-07-05T02:45:30.365683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d25943aab8e8725ec255995e90463acb4f985e8a0bd3f155b07bb2ac5c248c1

Aliases

arxiv: 1807.01684 · arxiv_version: 1807.01684v5 · doi: 10.48550/arxiv.1807.01684 · pith_short_12: HUSZIOVLR2DS · pith_short_16: HUSZIOVLR2DSL3BF · pith_short_8: HUSZIOVL

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/HUSZIOVLR2DSL3BFLGK6SBDDVS \
  | 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: 3d25943aab8e8725ec255995e90463acb4f985e8a0bd3f155b07bb2ac5c248c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1287cea37209f45251987b03a5f226a388fc590de14f485a2fd76811eea3f0a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-04T17:05:36Z",
    "title_canon_sha256": "f09d77b1fb171b053701336d16baa41693ca7cc9df4232373d50d5dfbdbc54c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01684",
    "kind": "arxiv",
    "version": 5
  }
}