Pith Number

pith:UBZUFLXZ

pith:2008:UBZUFLXZ5OJFG64QP6QPSTJCSG

not attested not anchored not stored refs pending

Liouville Quantum Gravity and KPZ

Bertrand Duplantier, Scott Sheffield

arxiv:0808.1560 v2 · 2008-08-11 · 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{UBZUFLXZ5OJFG64QP6QPSTJCSG}

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	2026-05-18T04:34:18.460364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07342aef9eb92537b907fa0f94d2291a7020d53d3172579e8ade06064c2c1f8

Aliases

arxiv: 0808.1560 · arxiv_version: 0808.1560v2 · doi: 10.48550/arxiv.0808.1560 · pith_short_12: UBZUFLXZ5OJF · pith_short_16: UBZUFLXZ5OJFG64Q · pith_short_8: UBZUFLXZ

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/UBZUFLXZ5OJFG64QP6QPSTJCSG \
  | 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: a07342aef9eb92537b907fa0f94d2291a7020d53d3172579e8ade06064c2c1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6d9de4751983ff15e91ed1b7050d159c8578e73527be8f7810fedab6e6fad2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-08-11T19:39:54Z",
    "title_canon_sha256": "b16c7f21bdc3c821b6f05bb4adb6a971f6389b90f914220aa961cd3690091073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1560",
    "kind": "arxiv",
    "version": 2
  }
}