Pith Number

pith:OGBQWRLP

pith:2014:OGBQWRLPDDAO2K373GXFSZNNCA

not attested not anchored not stored refs pending

On identities in the products of group varieties

Alexander Olshanskii, Nicholas Boatman

arxiv:1408.1521 v1 · 2014-08-07 · 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{OGBQWRLPDDAO2K373GXFSZNNCA}

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	2026-05-18T02:45:40.294994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71830b456f18c0ed2b7fd9ae5965ad1028b229a5558e8f9fd7c59c006137260d

Aliases

arxiv: 1408.1521 · arxiv_version: 1408.1521v1 · doi: 10.48550/arxiv.1408.1521 · pith_short_12: OGBQWRLPDDAO · pith_short_16: OGBQWRLPDDAO2K37 · pith_short_8: OGBQWRLP

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/OGBQWRLPDDAO2K373GXFSZNNCA \
  | 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: 71830b456f18c0ed2b7fd9ae5965ad1028b229a5558e8f9fd7c59c006137260d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150e6069195ad1061ad4d806834f26111d852bb75433442aafecaa24018ce40d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-07T09:25:15Z",
    "title_canon_sha256": "d7a71d5ee32eeace24ed2ccffedcaba63644879e89acae27a509d9cc7a697726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1521",
    "kind": "arxiv",
    "version": 1
  }
}