Pith Number

pith:XVF7ITLK

pith:2011:XVF7ITLKLDDTF6HUYCJ6ALKKUF

not attested not anchored not stored refs pending

Ergodicity of Poisson products and applications

Tom Meyerovitch

arxiv:1107.0520 v3 · 2011-07-04 · 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{XVF7ITLKLDDTF6HUYCJ6ALKKUF}

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	2026-05-18T03:11:33.809599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4bf44d6a58c732f8f4c093e02d4aa153feabff8479d2943a20379f01d8fce7

Aliases

arxiv: 1107.0520 · arxiv_version: 1107.0520v3 · doi: 10.48550/arxiv.1107.0520 · pith_short_12: XVF7ITLKLDDT · pith_short_16: XVF7ITLKLDDTF6HU · pith_short_8: XVF7ITLK

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/XVF7ITLKLDDTF6HUYCJ6ALKKUF \
  | 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: bd4bf44d6a58c732f8f4c093e02d4aa153feabff8479d2943a20379f01d8fce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35ae86c34ce1a550eba5e9d75f7542ad55bd2df8fa805a39863ec361cc0e84f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-04T04:05:30Z",
    "title_canon_sha256": "91144b5afe768146a7932a6af3121c648de11731ac34e55c7ce21fdf39b76c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0520",
    "kind": "arxiv",
    "version": 3
  }
}