Pith Number

pith:3NIE3XLD

pith:2011:3NIE3XLDHH2HTPP2DQBUOZGBN2

not attested not anchored not stored refs pending

Arithmetic groups with isomorphic finite quotients

Menny Aka

arxiv:1107.4147 v2 · 2011-07-21 · 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{3NIE3XLDHH2HTPP2DQBUOZGBN2}

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	2026-05-18T04:10:34.010899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db504ddd6339f479bdfa1c034764c16e895031fbfbde04abfa8d578ab8881774

Aliases

arxiv: 1107.4147 · arxiv_version: 1107.4147v2 · doi: 10.48550/arxiv.1107.4147 · pith_short_12: 3NIE3XLDHH2H · pith_short_16: 3NIE3XLDHH2HTPP2 · pith_short_8: 3NIE3XLD

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/3NIE3XLDHH2HTPP2DQBUOZGBN2 \
  | 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: db504ddd6339f479bdfa1c034764c16e895031fbfbde04abfa8d578ab8881774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "266aa4f4e0897efd6c90df6455d701770dc7691267524d7f05236e2a27151c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-21T01:59:48Z",
    "title_canon_sha256": "db598d03f1d63addbcfac90ce9f6fd3842dcb51c6335493c4262ea966af82d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4147",
    "kind": "arxiv",
    "version": 2
  }
}