Pith Number

pith:S45O7QTR

pith:2010:S45O7QTRFNRGCWF36EU2CTFGXJ

not attested not anchored not stored refs pending

The Dehn function of Baumslag's Metabelian Group

Martin Kassabov, Tim Riley

arxiv:1008.1966 v2 · 2010-08-11 · 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{S45O7QTRFNRGCWF36EU2CTFGXJ}

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	2026-05-18T04:23:02.942246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973aefc2712b626158bbf129a14ca6ba75f6316c88a00a45e52aa3cb06b3b589

Aliases

arxiv: 1008.1966 · arxiv_version: 1008.1966v2 · doi: 10.48550/arxiv.1008.1966 · pith_short_12: S45O7QTRFNRG · pith_short_16: S45O7QTRFNRGCWF3 · pith_short_8: S45O7QTR

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/S45O7QTRFNRGCWF36EU2CTFGXJ \
  | 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: 973aefc2712b626158bbf129a14ca6ba75f6316c88a00a45e52aa3cb06b3b589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1311167007795acb840390d47627d9970fc01b18be5b96d05149a55a6e6f3ffc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-11T18:42:57Z",
    "title_canon_sha256": "683c0ca2dc4a1e0dce1c0d2d1b1fa274f715e419902b7983af3b1635c1694378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1966",
    "kind": "arxiv",
    "version": 2
  }
}