Pith Number

pith:6TV5KW4Z

pith:2009:6TV5KW4ZPCMRBBVEPGI53RW6HB

not attested not anchored not stored refs pending

Zero Krengel Entropy does not kill Poisson Entropy

\'Elise Janvresse (LMRS), Thierry de la Rue (LMRS)

arxiv:0910.2566 v2 · 2009-10-14 · 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{6TV5KW4ZPCMRBBVEPGI53RW6HB}

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	2026-05-18T03:40:37.056285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ebd55b9978991086a47991ddc6de3866e201733f1155c3c0a71d0d3c9de145

Aliases

arxiv: 0910.2566 · arxiv_version: 0910.2566v2 · doi: 10.48550/arxiv.0910.2566 · pith_short_12: 6TV5KW4ZPCMR · pith_short_16: 6TV5KW4ZPCMRBBVE · pith_short_8: 6TV5KW4Z

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/6TV5KW4ZPCMRBBVEPGI53RW6HB \
  | 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: f4ebd55b9978991086a47991ddc6de3866e201733f1155c3c0a71d0d3c9de145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15842f0a5633f028d4d46f0721d8a54ccf3f73d628ede0d049c222cc818c8d7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-14T09:33:47Z",
    "title_canon_sha256": "caaa21c268bf8c2112530a52776d44ca13beaf21e062e877e9379fcc21703a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2566",
    "kind": "arxiv",
    "version": 2
  }
}