Pith Number

pith:G6CQFZ5W

pith:2016:G6CQFZ5W6AOQD3LHVQ6DAAZAGG

not attested not anchored not stored refs pending

The Brownian limit of separable permutations

Adeline Pierrot, Fr\'ed\'erique Bassino, Lucas Gerin, Mathilde Bouvel, Valentin F\'eray

arxiv:1602.04960 v3 · 2016-02-16 · math.PR · 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{G6CQFZ5W6AOQD3LHVQ6DAAZAGG}

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	2026-05-18T00:03:00.603806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378502e7b6f01d01ed67ac3c30032031b757fa9e8c58b714c86bc75f0d9bd17a

Aliases

arxiv: 1602.04960 · arxiv_version: 1602.04960v3 · doi: 10.48550/arxiv.1602.04960 · pith_short_12: G6CQFZ5W6AOQ · pith_short_16: G6CQFZ5W6AOQD3LH · pith_short_8: G6CQFZ5W

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/G6CQFZ5W6AOQD3LHVQ6DAAZAGG \
  | 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: 378502e7b6f01d01ed67ac3c30032031b757fa9e8c58b714c86bc75f0d9bd17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7711f951fd1a74ba398192a02ed2cfc354e634a954703e62beb7239ec9be3b9e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-16T09:28:00Z",
    "title_canon_sha256": "819ff56fadbd0493e86a0423bcb08f1a8e7bc3e7da5fd57bbd1b0cac5bc9b005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04960",
    "kind": "arxiv",
    "version": 3
  }
}