Pith Number

pith:2NCFJL6R

pith:2009:2NCFJL6REBYQOXCMUFGXNVVTKB

not attested not anchored not stored refs pending

A Bijection between well-labelled positive paths and matchings

Bertrand Duplantier (IPHT), Olivier Bernardi (LM-Orsay), Philippe Nadeau

arxiv:0903.5379 v1 · 2009-03-31 · 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{2NCFJL6REBYQOXCMUFGXNVVTKB}

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	2026-05-18T04:40:00.773775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34454afd12071075c4ca14d76d6b3505e2b650dd2f9d0ec2a5085acef56a323

Aliases

arxiv: 0903.5379 · arxiv_version: 0903.5379v1 · doi: 10.48550/arxiv.0903.5379 · pith_short_12: 2NCFJL6REBYQ · pith_short_16: 2NCFJL6REBYQOXCM · pith_short_8: 2NCFJL6R

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/2NCFJL6REBYQOXCMUFGXNVVTKB \
  | 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: d34454afd12071075c4ca14d76d6b3505e2b650dd2f9d0ec2a5085acef56a323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b5a70bcf73c80bf2838c4e6f515347d26a0c915c95e0ce779b1b4d51407728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-31T06:54:21Z",
    "title_canon_sha256": "56420712ae07812c1db779173890392bade5bb3f65135e11254b90f041752dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5379",
    "kind": "arxiv",
    "version": 1
  }
}