Pith Number

pith:3AWIWLMN

pith:2016:3AWIWLMNQTDN4LYCGY3DENGFX4

not attested not anchored not stored refs pending

A generalisation of a theorem of Wielandt

Francesco Fumagalli, Gunter Malle

arxiv:1608.04570 v1 · 2016-08-16 · 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{3AWIWLMNQTDN4LYCGY3DENGFX4}

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	2026-05-18T01:08:36.833584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82c8b2d8d84c6de2f0236363234c5bf38125fce53753d43a2381b66175b0427

Aliases

arxiv: 1608.04570 · arxiv_version: 1608.04570v1 · doi: 10.48550/arxiv.1608.04570 · pith_short_12: 3AWIWLMNQTDN · pith_short_16: 3AWIWLMNQTDN4LYC · pith_short_8: 3AWIWLMN

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/3AWIWLMNQTDN4LYCGY3DENGFX4 \
  | 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: d82c8b2d8d84c6de2f0236363234c5bf38125fce53753d43a2381b66175b0427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1244d5a67a77931e029e26fe8bcabb14582a0b340c0d59ee16c80fb47af78730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-16T12:30:58Z",
    "title_canon_sha256": "3cc8eab2d0a23cdaa00d728392d59693a42c12b62c3a9ccdd983498d3c7e5770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04570",
    "kind": "arxiv",
    "version": 1
  }
}