Pith Number

pith:7YBV7D2T

pith:2011:7YBV7D2TYTRPUMOW2F2ZUZ4ENK

not attested not anchored not stored refs pending

Special rank one groups are perfect

Anja Steinbach

arxiv:1111.5447 v1 · 2011-11-23 · 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{7YBV7D2TYTRPUMOW2F2ZUZ4ENK}

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	2026-05-18T04:07:43.699033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe035f8f53c4e2fa31d6d1759a67846abedf028bb0ded8427804fb98d81a6729

Aliases

arxiv: 1111.5447 · arxiv_version: 1111.5447v1 · doi: 10.48550/arxiv.1111.5447 · pith_short_12: 7YBV7D2TYTRP · pith_short_16: 7YBV7D2TYTRPUMOW · pith_short_8: 7YBV7D2T

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/7YBV7D2TYTRPUMOW2F2ZUZ4ENK \
  | 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: fe035f8f53c4e2fa31d6d1759a67846abedf028bb0ded8427804fb98d81a6729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a525fdca1a5e5969685a108532470a74f210d930848f2456e7106016f3ddde3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-23T10:35:04Z",
    "title_canon_sha256": "2cf4efb9d1823ef2b5abfce2000ecfc9563a791fcf1dc1e633e228d126db7522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5447",
    "kind": "arxiv",
    "version": 1
  }
}