Pith Number

pith:BETYOXNM

pith:2013:BETYOXNMZPNGCUGYSR2GT2OEBC

not attested not anchored not stored refs pending

Fifty shades of black

Alexandre Borovik, \c{S}\"ukr\"u Yal\c{c}{\i}nkaya

arxiv:1308.2487 v1 · 2013-08-12 · 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{BETYOXNMZPNGCUGYSR2GT2OEBC}

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	2026-05-18T01:18:19.722085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0927875daccbda6150d8947469e9c408a5b2213ff53bef38f8f463313926dace

Aliases

arxiv: 1308.2487 · arxiv_version: 1308.2487v1 · doi: 10.48550/arxiv.1308.2487 · pith_short_12: BETYOXNMZPNG · pith_short_16: BETYOXNMZPNGCUGY · pith_short_8: BETYOXNM

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/BETYOXNMZPNGCUGYSR2GT2OEBC \
  | 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: 0927875daccbda6150d8947469e9c408a5b2213ff53bef38f8f463313926dace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1473c7207c472dd49fd7fd89221b87cf46ab159eda33ad21f3bf64fce7280be8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-12T08:08:09Z",
    "title_canon_sha256": "f17528d5da587cfc5b22992b069e3eea4b83b097f2bfa4c3f8eacfd1bab0d227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2487",
    "kind": "arxiv",
    "version": 1
  }
}