Pith Number

pith:4GPOPAKV

pith:2009:4GPOPAKVZ7FZGVOHVU2ARK2AW7

not attested not anchored not stored refs pending

On a Question of D. Shlyakhtenko

Adrian Ioana, Ionut Chifan

arxiv:0906.5345 v1 · 2009-06-29 · math.OA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GPOPAKVZ7FZGVOHVU2ARK2AW7}

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	2026-05-18T00:22:40.775157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19ee78155cfcb9355c7ad3408ab40b7cba9df18471f3f369e19be5ad707b1ee

Aliases

arxiv: 0906.5345 · arxiv_version: 0906.5345v1 · doi: 10.48550/arxiv.0906.5345 · pith_short_12: 4GPOPAKVZ7FZ · pith_short_16: 4GPOPAKVZ7FZGVOH · pith_short_8: 4GPOPAKV

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/4GPOPAKVZ7FZGVOHVU2ARK2AW7 \
  | 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: e19ee78155cfcb9355c7ad3408ab40b7cba9df18471f3f369e19be5ad707b1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3b6ce4bc6db5541b6a52534011a282782f7b4ac91c225a0bdf5a065e4879af",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-29T20:34:44Z",
    "title_canon_sha256": "ea29871a194a07043e2de73725483123fc68d7dcc9687c6a43af09614db0f305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5345",
    "kind": "arxiv",
    "version": 1
  }
}