Pith Number

pith:M3JJFBJC

pith:2006:M3JJFBJCFYZKM2GXAVZIHPQTOC

not attested not anchored not stored refs pending

Subdegree growth rates of infinite primitive permutation groups

Simon M. Smith

arxiv:math/0611756 v1 · 2006-11-24 · math.GR · 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{M3JJFBJCFYZKM2GXAVZIHPQTOC}

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	2026-05-18T03:33:14.542115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d29285222e32a668d7057283be137091bb8cafd8463c58e05b3bbadd3873c7

Aliases

arxiv: math/0611756 · arxiv_version: math/0611756v1 · doi: 10.48550/arxiv.math/0611756 · pith_short_12: M3JJFBJCFYZK · pith_short_16: M3JJFBJCFYZKM2GX · pith_short_8: M3JJFBJC

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/M3JJFBJCFYZKM2GXAVZIHPQTOC \
  | 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: 66d29285222e32a668d7057283be137091bb8cafd8463c58e05b3bbadd3873c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d6dde8b1b0deae6165f85403333cf9936c07fb343cc58f3de5a02855880708",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-24T14:58:02Z",
    "title_canon_sha256": "640cc34d10b87b8afb1d51b234e2682c531ac3d023dcdc63425bb4e1d67b5a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611756",
    "kind": "arxiv",
    "version": 1
  }
}