Pith Number

pith:Y2TG5WZ6

pith:2010:Y2TG5WZ67Z4ALX67U7U2RIKID4

not attested not anchored not stored refs pending

Spatial random permutations and Poisson-Dirichlet law of cycle lengths

Daniel Ueltschi, Volker Betz

arxiv:1007.2224 v3 · 2010-07-13 · math.PR · math-ph · 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{Y2TG5WZ67Z4ALX67U7U2RIKID4}

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	2026-05-18T03:56:46.346421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a66edb3efe7805dfdfa7e9a8a1481f1060b3b8984c0abc6c5a5e7af82e580d

Aliases

arxiv: 1007.2224 · arxiv_version: 1007.2224v3 · doi: 10.48550/arxiv.1007.2224 · pith_short_12: Y2TG5WZ67Z4A · pith_short_16: Y2TG5WZ67Z4ALX67 · pith_short_8: Y2TG5WZ6

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/Y2TG5WZ67Z4ALX67U7U2RIKID4 \
  | 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: c6a66edb3efe7805dfdfa7e9a8a1481f1060b3b8984c0abc6c5a5e7af82e580d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0bc6fae6c6627be7956739f58c89d914366d32be8fe27b15f181fba372d4df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-13T22:45:25Z",
    "title_canon_sha256": "ead02757a584726b9f806c37666c737b918031e7243021ea016a7141f4077e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2224",
    "kind": "arxiv",
    "version": 3
  }
}