Pith Number

pith:T6ULYY5K

pith:2019:T6ULYY5KTCM6MR5USCF3V22RKG

not attested not anchored not stored refs pending

Mating of trees for random planar maps and Liouville quantum gravity: a survey

Ewain Gwynne, Nina Holden, Xin Sun

arxiv:1910.04713 v2 · 2019-10-10 · math.PR · math-ph · math.CO · 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{T6ULYY5KTCM6MR5USCF3V22RKG}

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	2026-07-05T05:41:59.503655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fa8bc63aa9899e647b4908bbaeb5151b359fb72382743c6e4b3a2db3ba26d8f

Aliases

arxiv: 1910.04713 · arxiv_version: 1910.04713v2 · doi: 10.48550/arxiv.1910.04713 · pith_short_12: T6ULYY5KTCM6 · pith_short_16: T6ULYY5KTCM6MR5U · pith_short_8: T6ULYY5K

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/T6ULYY5KTCM6MR5USCF3V22RKG \
  | 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: 9fa8bc63aa9899e647b4908bbaeb5151b359fb72382743c6e4b3a2db3ba26d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c267d884f65205fa8a3037c74a0f2fe37e9f70dba45aa0e3ad8c4cbc97eec8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-10-10T17:10:44Z",
    "title_canon_sha256": "504350576088f07089cfd8e9d40ded8879013d3745f90c89efb53c28e1eb8ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.04713",
    "kind": "arxiv",
    "version": 2
  }
}