Pith Number

pith:KWGFTOS3

pith:2011:KWGFTOS3KTXS7RPN4ENI226XWK

not attested not anchored not stored refs pending

Equidistributed statistics on matchings and permutations

Jonas Sj\"ostrand, Niklas Eriksen

arxiv:1112.2120 v1 · 2011-12-09 · 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{KWGFTOS3KTXS7RPN4ENI226XWK}

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	2026-05-18T04:06:44.059596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558c59ba5b54ef2fc5ede11a8d6bd7b28215fb4bc12cb168c0d73f50828a7fbc

Aliases

arxiv: 1112.2120 · arxiv_version: 1112.2120v1 · doi: 10.48550/arxiv.1112.2120 · pith_short_12: KWGFTOS3KTXS · pith_short_16: KWGFTOS3KTXS7RPN · pith_short_8: KWGFTOS3

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/KWGFTOS3KTXS7RPN4ENI226XWK \
  | 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: 558c59ba5b54ef2fc5ede11a8d6bd7b28215fb4bc12cb168c0d73f50828a7fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5518a3277d360ea0a705ba407fa03724f422fb3c1e40b273ddf97a33e1bcc390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-09T15:29:25Z",
    "title_canon_sha256": "53a7bf21a3348f41dbfaf2c7c9d9a8c10ac7996501242236c4bfd99ed1fed7a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2120",
    "kind": "arxiv",
    "version": 1
  }
}