Pith Number

pith:SK3WDT4U

pith:2013:SK3WDT4UP3GZWA5TXHLJML63QO

not attested not anchored not stored refs pending

$\mathcal{J}^{\ast}=\mathcal{D}^{\ast}$ need not hold in finite semigroups

Abdullahi Umar, Andreas Distler, Victor Maltcev

arxiv:1302.0985 v2 · 2013-02-05 · 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{SK3WDT4UP3GZWA5TXHLJML63QO}

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	2026-05-18T03:11:09.403572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b761cf947ecd9b03b3b9d6962fdb83b113dca74db54f6cb6d45541a473f35f

Aliases

arxiv: 1302.0985 · arxiv_version: 1302.0985v2 · doi: 10.48550/arxiv.1302.0985 · pith_short_12: SK3WDT4UP3GZ · pith_short_16: SK3WDT4UP3GZWA5T · pith_short_8: SK3WDT4U

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/SK3WDT4UP3GZWA5TXHLJML63QO \
  | 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: 92b761cf947ecd9b03b3b9d6962fdb83b113dca74db54f6cb6d45541a473f35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2da3c0ce67f217a7c0e284988897ad4f3b97083e5496665b2aede683d1bbda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-05T10:39:31Z",
    "title_canon_sha256": "66936966bb108b7896d814554e40d75d20c75c60ac7f285614756d337a38df53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0985",
    "kind": "arxiv",
    "version": 2
  }
}