Pith Number

pith:H7MKZOML

pith:2011:H7MKZOMLX5GMOIU47BQJJUWOZV

not attested not anchored not stored refs pending

Adequate subgroups

Florian Herzig, Jack Thorne, Richard Taylor, Robert Guralnick

arxiv:1107.5993 v1 · 2011-07-29 · math.NT · 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{H7MKZOMLX5GMOIU47BQJJUWOZV}

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	2026-05-18T03:20:59.000002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd8acb98bbf4cc7229cf86094d2cecd6cfe15bacfe2a2da299e4aa8b6566b8f

Aliases

arxiv: 1107.5993 · arxiv_version: 1107.5993v1 · doi: 10.48550/arxiv.1107.5993 · pith_short_12: H7MKZOMLX5GM · pith_short_16: H7MKZOMLX5GMOIU4 · pith_short_8: H7MKZOML

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/H7MKZOMLX5GMOIU47BQJJUWOZV \
  | 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: 3fd8acb98bbf4cc7229cf86094d2cecd6cfe15bacfe2a2da299e4aa8b6566b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25466fa1614e094590896abdbf78486ff40cebff32b4e4604aac8903927730a3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-29T15:15:37Z",
    "title_canon_sha256": "83168abe07d3ab622bc975b27e3a8ca52535c1652ede27db6be4e9f1c8c5510c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5993",
    "kind": "arxiv",
    "version": 1
  }
}