Pith Number

pith:LUBRAZBX

pith:2006:LUBRAZBXIEIMKWCC2QON5CRD5R

not attested not anchored not stored refs pending

Bijective counting of tree-rooted maps and shuffles of parenthesis systems

Olivier Bernardi (LaBRI)

arxiv:math/0601684 v1 · 2006-01-27 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUBRAZBXIEIMKWCC2QON5CRD5R}

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

Random surfaces and Liouville quantum gravity

Receipt and verification

First computed	2026-07-04T15:43:58.091450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d031064374110c55842d41cde8a23ec741cee08956b7552657110b42d28b4b0

Aliases

arxiv: math/0601684 · arxiv_version: math/0601684v1 · doi: 10.48550/arxiv.math/0601684 · pith_short_12: LUBRAZBXIEIM · pith_short_16: LUBRAZBXIEIMKWCC · pith_short_8: LUBRAZBX

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/LUBRAZBXIEIMKWCC2QON5CRD5R \
  | 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: 5d031064374110c55842d41cde8a23ec741cee08956b7552657110b42d28b4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30751fdd11b5049093eedb499b309b3eb720347bef455efe86402a87075c5b56",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-01-27T18:51:04Z",
    "title_canon_sha256": "f5ca885839bcfe1cce589119af233f4406df3c27426cc9b75aea36b53660d6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601684",
    "kind": "arxiv",
    "version": 1
  }
}