Pith Number

pith:4JHGKP3P

pith:2012:4JHGKP3P3FCUZHNGSMDLJ3YV4N

not attested not anchored not stored refs pending

On the connected components of a random permutation graph with a given number of edges

Boris Pittel, Huseyin Acan

arxiv:1211.0246 v2 · 2012-11-01 · 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{4JHGKP3P3FCUZHNGSMDLJ3YV4N}

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	2026-05-18T03:13:00.246047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24e653f6fd9454c9da69306b4ef15e3499333bc09ff83a0d4da1342cf905b1a

Aliases

arxiv: 1211.0246 · arxiv_version: 1211.0246v2 · doi: 10.48550/arxiv.1211.0246 · pith_short_12: 4JHGKP3P3FCU · pith_short_16: 4JHGKP3P3FCUZHNG · pith_short_8: 4JHGKP3P

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/4JHGKP3P3FCUZHNGSMDLJ3YV4N \
  | 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: e24e653f6fd9454c9da69306b4ef15e3499333bc09ff83a0d4da1342cf905b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affbf74389aa536728fbb875883cd62942393d6e5f70ebf03bfd30393ff38773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-01T18:11:25Z",
    "title_canon_sha256": "fa7dccd09ec7d23931ab86c989d29d5e18f54ee6c3a8565b674f10f339ebb5a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0246",
    "kind": "arxiv",
    "version": 2
  }
}