Pith Number

pith:S6RFRQHI

pith:2011:S6RFRQHIL5IWA2QE5LK7SN2Z2I

not attested not anchored not stored refs pending

Hyperfinite actions on countable sets and probability measure spaces

Gabor Elek, Miklos Abert

arxiv:1105.3200 v3 · 2011-05-16 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6RFRQHIL5IWA2QE5LK7SN2Z2I}

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	2026-05-18T04:18:34.348577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a258c0e85f51606a04ead5f93759d22ec2379d6401a303e1587488fc62aec0

Aliases

arxiv: 1105.3200 · arxiv_version: 1105.3200v3 · doi: 10.48550/arxiv.1105.3200 · pith_short_12: S6RFRQHIL5IW · pith_short_16: S6RFRQHIL5IWA2QE · pith_short_8: S6RFRQHI

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/S6RFRQHIL5IWA2QE5LK7SN2Z2I \
  | 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: 97a258c0e85f51606a04ead5f93759d22ec2379d6401a303e1587488fc62aec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac1b4d703e58ee8f0ac38c146abdd59fce166aad903a0934758e554a4866a63b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-16T20:00:59Z",
    "title_canon_sha256": "115b0c2d2afcd0e260c03194d54d2a14012ee053ac71a58b8984d500b3efec5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3200",
    "kind": "arxiv",
    "version": 3
  }
}