Pith Number

pith:2RUQKEWI

pith:2019:2RUQKEWIAED3RX446SF3GWXNPZ

not attested not anchored not stored refs pending

About the cyclically reduced product of words

Carmelo Vaccaro

arxiv:1908.07435 v5 · 2019-08-20 · 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{2RUQKEWIAED3RX446SF3GWXNPZ}

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	2026-07-05T03:44:05.734074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4690512c80107b8df9cf48bb35aed7e7ea290df9479cf99d9532013b664346b

Aliases

arxiv: 1908.07435 · arxiv_version: 1908.07435v5 · doi: 10.48550/arxiv.1908.07435 · pith_short_12: 2RUQKEWIAED3 · pith_short_16: 2RUQKEWIAED3RX44 · pith_short_8: 2RUQKEWI

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/2RUQKEWIAED3RX446SF3GWXNPZ \
  | 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: d4690512c80107b8df9cf48bb35aed7e7ea290df9479cf99d9532013b664346b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3c50b3bc9e305fe6c20256bb19d878e4939b045da534ddd021c8805c26c90c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-20T15:38:42Z",
    "title_canon_sha256": "30ca899f11b60f1ddc550d5b7edafa5dcd52009829c2b43046d79e34e8648381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07435",
    "kind": "arxiv",
    "version": 5
  }
}