Pith Number

pith:BZME4AAD

pith:2015:BZME4AADIVW56ZZKNA3WSJ3DIP

not attested not anchored not stored refs pending

Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric

Jason Miller, Scott Sheffield

arxiv:1507.00719 v3 · 2015-07-02 · 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{BZME4AADIVW56ZZKNA3WSJ3DIP}

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.

Receipt and verification

First computed	2026-05-17T23:39:28.064763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e584e0003456ddf672a683769276343f3a62b8789849d7b2329faa0783d77a2

Aliases

arxiv: 1507.00719 · arxiv_version: 1507.00719v3 · doi: 10.48550/arxiv.1507.00719 · pith_short_12: BZME4AADIVW5 · pith_short_16: BZME4AADIVW56ZZK · pith_short_8: BZME4AAD

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/BZME4AADIVW56ZZKNA3WSJ3DIP \
  | 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: 0e584e0003456ddf672a683769276343f3a62b8789849d7b2329faa0783d77a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73da7a0f488974ed95ff7217c7aa5422501180b1912c4ee95fd8de6b1ddc7789",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-02T19:54:32Z",
    "title_canon_sha256": "66133606b6ccd39eef0ee0db4323fd2bb81e8e7b72d9779a5fe98d873cf5f0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00719",
    "kind": "arxiv",
    "version": 3
  }
}