Pith Number

pith:3M2QQOYH

pith:2010:3M2QQOYHBQFMLK7DAFI7BGZJ5S

not attested not anchored not stored refs pending

The exact spread of M23 is 8064

Ben Fairbairn

arxiv:1008.1503 v1 · 2010-08-09 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M2QQOYHBQFMLK7DAFI7BGZJ5S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:42:24.097571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db35083b070c0ac5abe30151f09b29ecb50de5e6d06daa932bb107fa6b4c7178

Aliases

arxiv: 1008.1503 · arxiv_version: 1008.1503v1 · doi: 10.48550/arxiv.1008.1503 · pith_short_12: 3M2QQOYHBQFM · pith_short_16: 3M2QQOYHBQFMLK7D · pith_short_8: 3M2QQOYH

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/3M2QQOYHBQFMLK7DAFI7BGZJ5S \
  | 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: db35083b070c0ac5abe30151f09b29ecb50de5e6d06daa932bb107fa6b4c7178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "718f474d6f0b1a9d2ee0c6b0297bdfc5670bc669b431f47cdc7bec87fa304c7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-09T13:43:27Z",
    "title_canon_sha256": "289bd78b0e7f4591ba44e4a915e7eece3a933a8ec74befb5a993489257eb0d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1503",
    "kind": "arxiv",
    "version": 1
  }
}