Pith Number

pith:4CFV7X4Y

pith:2016:4CFV7X4Y4A7T347QAB4G6QF5UQ

not attested not anchored not stored refs pending

Liouville quantum gravity and the Brownian map III: the conformal structure is determined

Jason Miller, Scott Sheffield

arxiv:1608.05391 v3 · 2016-08-18 · math.PR · math-ph · math.CV · 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{4CFV7X4Y4A7T347QAB4G6QF5UQ}

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

Spectral expansion of LQG heat trace and KPZ scaling

Receipt and verification

First computed	2026-07-05T01:53:05.257057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08b5fdf98e03f3df3f000786f40bda437bf5e664b5595bf505b7604d55c9696

Aliases

arxiv: 1608.05391 · arxiv_version: 1608.05391v3 · doi: 10.48550/arxiv.1608.05391 · pith_short_12: 4CFV7X4Y4A7T · pith_short_16: 4CFV7X4Y4A7T347Q · pith_short_8: 4CFV7X4Y

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/4CFV7X4Y4A7T347QAB4G6QF5UQ \
  | 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: e08b5fdf98e03f3df3f000786f40bda437bf5e664b5595bf505b7604d55c9696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b65f644aa8e1c9502e69c64bf7321196720c46c613a689df5932e96eb9feac",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-18T19:50:37Z",
    "title_canon_sha256": "823cbe4954c2f40a576266e6e2e1b1f4fc449b4be993fc6335575ed76c923b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05391",
    "kind": "arxiv",
    "version": 3
  }
}