Pith Number

pith:7BDWMEOK

pith:2011:7BDWMEOK6NMJ7WYCYOMB4EXCLX

not attested not anchored not stored refs pending

Semicharacters of Groups

Gil Alon

arxiv:1112.6125 v4 · 2011-12-28 · 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{7BDWMEOK6NMJ7WYCYOMB4EXCLX}

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	2026-05-18T03:07:41.442590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8476611caf3589fdb02c3981e12e25df0b973dd4404c121437f3280b41fa491

Aliases

arxiv: 1112.6125 · arxiv_version: 1112.6125v4 · doi: 10.48550/arxiv.1112.6125 · pith_short_12: 7BDWMEOK6NMJ · pith_short_16: 7BDWMEOK6NMJ7WYC · pith_short_8: 7BDWMEOK

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/7BDWMEOK6NMJ7WYCYOMB4EXCLX \
  | 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: f8476611caf3589fdb02c3981e12e25df0b973dd4404c121437f3280b41fa491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd14a3195cf741b267ad3f62d7b2f785e62ec53eea7ad881ed5cd70c6096ed4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-28T14:29:55Z",
    "title_canon_sha256": "6b3b7444c42c4117b8f0aa16e54715441f78dc44b3614614db8ebbd87fc37261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6125",
    "kind": "arxiv",
    "version": 4
  }
}