Pith Number

pith:3IT2SJDY

pith:2010:3IT2SJDYZWO5CBIPDOKH3LHNS5

not attested not anchored not stored refs pending

Unique Bernoulli g-measures

Anders Johansson, Anders \"Oberg, Mark Pollicott

arxiv:1004.0650 v1 · 2010-04-05 · 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{3IT2SJDYZWO5CBIPDOKH3LHNS5}

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	2026-05-18T02:32:31.306763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da27a92478cd9dd1050f1b947daced97782fb6882eea805b9df1865d0dc4cc5b

Aliases

arxiv: 1004.0650 · arxiv_version: 1004.0650v1 · doi: 10.48550/arxiv.1004.0650 · pith_short_12: 3IT2SJDYZWO5 · pith_short_16: 3IT2SJDYZWO5CBIP · pith_short_8: 3IT2SJDY

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/3IT2SJDYZWO5CBIPDOKH3LHNS5 \
  | 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: da27a92478cd9dd1050f1b947daced97782fb6882eea805b9df1865d0dc4cc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7e6b17f2bea215414f7327e96ad1d0b3922888315f0368a70b03b7006f38d0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-05T15:27:11Z",
    "title_canon_sha256": "26269b78a2d22ff82d24598af3cf0c3f4b8422dd6443302013d53da7747bd8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0650",
    "kind": "arxiv",
    "version": 1
  }
}