Pith Number

pith:6PQNBZOK

pith:2007:6PQNBZOKID6A3GECJ45IMNDXFS

not attested not anchored not stored refs pending

Finding Minimal Permutation Representations of Finite Groups

Ben Elias, Lior Silberman, Ramin Takloo-Bighash

arxiv:0705.4122 v3 · 2007-05-28 · 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{6PQNBZOKID6A3GECJ45IMNDXFS}

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	2026-05-18T03:17:45.005733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e0d0e5ca40fc0d98824f3a8634772ca450ac5ac275a101d75456e4f6c727e2

Aliases

arxiv: 0705.4122 · arxiv_version: 0705.4122v3 · doi: 10.48550/arxiv.0705.4122 · pith_short_12: 6PQNBZOKID6A · pith_short_16: 6PQNBZOKID6A3GEC · pith_short_8: 6PQNBZOK

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/6PQNBZOKID6A3GECJ45IMNDXFS \
  | 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: f3e0d0e5ca40fc0d98824f3a8634772ca450ac5ac275a101d75456e4f6c727e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80022532990f93c22dbd0bc7f7c28e5838d8493e06228526c67cd7fa0a81242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-05-28T23:08:25Z",
    "title_canon_sha256": "6a6b5e18f9eab6aef9deb897096efd4d862565ea47883026872a7f9dfc5acfcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4122",
    "kind": "arxiv",
    "version": 3
  }
}