Pith Number

pith:7NL3EUVC

pith:2010:7NL3EUVCMMBAOYHMELHDQLX5Z4

not attested not anchored not stored refs pending

On the Zero-Type property and mixing of Bernoulli shifts

Zemer Kosloff

arxiv:1001.4261 v6 · 2010-01-24 · 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{7NL3EUVCMMBAOYHMELHDQLX5Z4}

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	2026-05-18T04:27:17.964879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb57b252a263020760ec22ce382efdcf2e74570351118386ea23a3cac9689402

Aliases

arxiv: 1001.4261 · arxiv_version: 1001.4261v6 · doi: 10.48550/arxiv.1001.4261 · pith_short_12: 7NL3EUVCMMBA · pith_short_16: 7NL3EUVCMMBAOYHM · pith_short_8: 7NL3EUVC

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/7NL3EUVCMMBAOYHMELHDQLX5Z4 \
  | 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: fb57b252a263020760ec22ce382efdcf2e74570351118386ea23a3cac9689402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3593a3d2887fea7cdd75e10e5ee7a72245066df602e49083914cd03e92ef7a84",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-24T17:37:23Z",
    "title_canon_sha256": "57e0da0ec6ad60a37b704548b81f3675631025861913c0a09af74761a3620fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4261",
    "kind": "arxiv",
    "version": 6
  }
}