Pith Number

pith:KL3LESCM

pith:2011:KL3LESCMUBSCRCFUVZGI6VSQVH

not attested not anchored not stored refs pending

Every countably infinite group is almost Ornstein

Lewis Bowen

arxiv:1103.4424 v3 · 2011-03-23 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KL3LESCMUBSCRCFUVZGI6VSQVH}

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	2026-05-18T04:20:21.943826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f6b2484ca0642888b4ae4c8f5650a9dc6d83a870b6f19c5578817d62bf9324

Aliases

arxiv: 1103.4424 · arxiv_version: 1103.4424v3 · doi: 10.48550/arxiv.1103.4424 · pith_short_12: KL3LESCMUBSC · pith_short_16: KL3LESCMUBSCRCFU · pith_short_8: KL3LESCM

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/KL3LESCMUBSCRCFUVZGI6VSQVH \
  | 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: 52f6b2484ca0642888b4ae4c8f5650a9dc6d83a870b6f19c5578817d62bf9324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7996878e422c2fd010876dce25c90f579292835aa3067cbdabaa7875aa9c812a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-23T00:21:37Z",
    "title_canon_sha256": "f0f68e23b42b65c88ed9129ec38dde237dc583dd8995b3dec68d1b1d71aaf7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4424",
    "kind": "arxiv",
    "version": 3
  }
}