Pith Number

pith:3CH2TMOX

pith:2008:3CH2TMOXMEX4WZFZEF2DFD5OHB

not attested not anchored not stored refs pending

Spatial random permutations with small cycle weights

Daniel Ueltschi, Volker Betz

arxiv:0812.0569 v2 · 2008-12-02 · 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{3CH2TMOXMEX4WZFZEF2DFD5OHB}

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	2026-05-18T04:28:08.389955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88fa9b1d7612fcb64b92174328fae3841298c7f1d783469d91240311bf04b71

Aliases

arxiv: 0812.0569 · arxiv_version: 0812.0569v2 · doi: 10.48550/arxiv.0812.0569 · pith_short_12: 3CH2TMOXMEX4 · pith_short_16: 3CH2TMOXMEX4WZFZ · pith_short_8: 3CH2TMOX

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/3CH2TMOXMEX4WZFZEF2DFD5OHB \
  | 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: d88fa9b1d7612fcb64b92174328fae3841298c7f1d783469d91240311bf04b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32394adbfad6b5e026eba3c9833fe7019705d72658a3342d70c5870caa798d06",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-02T19:02:22Z",
    "title_canon_sha256": "3757a8829c71fbf504c6ffdb7a42d97e395113f83551a1c7544fa0dfcfcc568c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0569",
    "kind": "arxiv",
    "version": 2
  }
}