Pith Number

pith:DNSTWXRI

pith:2010:DNSTWXRILAOJ5QLYMYM3M32ZGH

not attested not anchored not stored refs pending

HNN extensions and unique group measure space decomposition of II_1 factors

Pierre Fima, Stefaan Vaes

arxiv:1005.5002 v2 · 2010-05-27 · math.OA · math.DS · 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{DNSTWXRILAOJ5QLYMYM3M32ZGH}

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	2026-05-18T04:03:07.395363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b653b5e28581c9ec1786619b66f5931f80484e2899c5651af3b3108fd51840a

Aliases

arxiv: 1005.5002 · arxiv_version: 1005.5002v2 · doi: 10.48550/arxiv.1005.5002 · pith_short_12: DNSTWXRILAOJ · pith_short_16: DNSTWXRILAOJ5QLY · pith_short_8: DNSTWXRI

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/DNSTWXRILAOJ5QLYMYM3M32ZGH \
  | 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: 1b653b5e28581c9ec1786619b66f5931f80484e2899c5651af3b3108fd51840a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c241dc262f9c848c674123b3813eb5fc072312f3cf90aa309a0bbbff0aa548f",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-05-27T08:22:07Z",
    "title_canon_sha256": "5fdf50fb5347940b41d8abf5b8a3072fc7ceea9340a442f0a624992949a3f35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5002",
    "kind": "arxiv",
    "version": 2
  }
}