Pith Number

pith:2OLVXPHW

pith:2012:2OLVXPHWBC4SA35ZRMQKE7MLOY

not attested not anchored not stored refs pending

Empirical processes of iterated maps that contract on average

Olivier Durieu

arxiv:1206.4903 v1 · 2012-06-21 · math.PR · 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{2OLVXPHWBC4SA35ZRMQKE7MLOY}

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	2026-05-18T03:52:53.965899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3975bbcf608b9206fb98b20a27d8b76190fa9a9a4d893941cae788060b83d6f

Aliases

arxiv: 1206.4903 · arxiv_version: 1206.4903v1 · doi: 10.48550/arxiv.1206.4903 · pith_short_12: 2OLVXPHWBC4S · pith_short_16: 2OLVXPHWBC4SA35Z · pith_short_8: 2OLVXPHW

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/2OLVXPHWBC4SA35ZRMQKE7MLOY \
  | 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: d3975bbcf608b9206fb98b20a27d8b76190fa9a9a4d893941cae788060b83d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba90daf9b20e9e6b65d9d9acda9ca424e391fe8ca86a4ed8baea0e1d1ebf011",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-21T14:46:25Z",
    "title_canon_sha256": "356fd9e4a17485bb704db15939897bc5dbc526e4b03f2c94a78ef89d2564485e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4903",
    "kind": "arxiv",
    "version": 1
  }
}