Pith Number

pith:64IYBZXK

pith:2013:64IYBZXKDKEFCGRGMIXJBV3ECF

not attested not anchored not stored refs pending

Universal commutator relations, Bogomolov multipliers, and commuting probability

Primoz Moravec, Urban Jezernik

arxiv:1307.6533 v2 · 2013-07-24 · 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{64IYBZXKDKEFCGRGMIXJBV3ECF}

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	2026-05-18T03:04:24.033890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71180e6ea1a88511a26622e90d764115bdb589f7d3c2d23436d4028ed9c07bf

Aliases

arxiv: 1307.6533 · arxiv_version: 1307.6533v2 · doi: 10.48550/arxiv.1307.6533 · pith_short_12: 64IYBZXKDKEF · pith_short_16: 64IYBZXKDKEFCGRG · pith_short_8: 64IYBZXK

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/64IYBZXKDKEFCGRGMIXJBV3ECF \
  | 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: f71180e6ea1a88511a26622e90d764115bdb589f7d3c2d23436d4028ed9c07bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d385cb005b17302d3f456fbaf41a9f278b59a67bfb9fecd17d7d1a9503ec7f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-24T19:05:07Z",
    "title_canon_sha256": "622c1c25790fbeab4f453eded9c87a9223af133328c41284d55aa00aaf6cdc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6533",
    "kind": "arxiv",
    "version": 2
  }
}