Pith Number

pith:4GR5BGTP

pith:2014:4GR5BGTPZQFL66BJYF5KL35SWT

not attested not anchored not stored refs pending

Liouville quantum gravity as a mating of trees

Bertrand Duplantier, Jason Miller, Scott Sheffield

arxiv:1409.7055 v4 · 2014-09-24 · 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{4GR5BGTPZQFL66BJYF5KL35SWT}

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

2 papers in Pith

Regularity of the SLE$_4$ uniformizing map and the SLE$_8$ trace

Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion

Receipt and verification

First computed	2026-07-05T01:28:16.166630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a3d09a6fcc0abf7829c17aa5efb2b4fad15347a20a0e30db99974933b7ee5d

Aliases

arxiv: 1409.7055 · arxiv_version: 1409.7055v4 · doi: 10.48550/arxiv.1409.7055 · pith_short_12: 4GR5BGTPZQFL · pith_short_16: 4GR5BGTPZQFL66BJ · pith_short_8: 4GR5BGTP

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/4GR5BGTPZQFL66BJYF5KL35SWT \
  | 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: e1a3d09a6fcc0abf7829c17aa5efb2b4fad15347a20a0e30db99974933b7ee5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1505ee9fc24d866853f044301d7855b1ea920f1a4c1d63c3de5cea1109d7733e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-24T19:50:15Z",
    "title_canon_sha256": "4460836ba03dd9301d71afab484641c9bfa60a7094fa67cdcf5637c3448a6aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7055",
    "kind": "arxiv",
    "version": 4
  }
}