Pith Number

pith:Z2TXA42R

pith:2012:Z2TXA42RL2MH2I2X2PL7YTI7VS

not attested not anchored not stored refs pending

Primitive permutation groups whose subdegrees are bounded above

Simon M. Smith

arxiv:1201.0803 v1 · 2012-01-04 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2TXA42RL2MH2I2X2PL7YTI7VS}

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	2026-05-18T04:05:16.248443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea77073515e987d2357d3d7fc4d1facb7a207fb156700ce11c39778724be53d

Aliases

arxiv: 1201.0803 · arxiv_version: 1201.0803v1 · doi: 10.48550/arxiv.1201.0803 · pith_short_12: Z2TXA42RL2MH · pith_short_16: Z2TXA42RL2MH2I2X · pith_short_8: Z2TXA42R

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/Z2TXA42RL2MH2I2X2PL7YTI7VS \
  | 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: cea77073515e987d2357d3d7fc4d1facb7a207fb156700ce11c39778724be53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61bb8df7e246f3ca37c594601de101e0c2884ff3cd98ccced7bf02d12df2d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-04T01:25:08Z",
    "title_canon_sha256": "7dbb8692f08d5100064a1bafd7f6fadde0b82d1348b895f718362d429f084feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0803",
    "kind": "arxiv",
    "version": 1
  }
}