Pith Number

pith:2JW7BDUL

pith:2004:2JW7BDULKVCERGELC3AKJB7CZY

not attested not anchored not stored refs pending

Bivariate Uniqueness and Endogeny for the Logistic Recursive Distributional Equation

Antar Bandyopadhyay

arxiv:math/0401389 v2 · 2004-01-28 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JW7BDULKVCERGELC3AKJB7CZY}

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	2026-05-18T01:38:28.589280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26df08e8b554448988b16c0a487e2ce19bde1b0c2ab1c1e91c2b84c6d8d6ba2

Aliases

arxiv: math/0401389 · arxiv_version: math/0401389v2 · doi: 10.48550/arxiv.math/0401389 · pith_short_12: 2JW7BDULKVCE · pith_short_16: 2JW7BDULKVCERGEL · pith_short_8: 2JW7BDUL

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/2JW7BDULKVCERGELC3AKJB7CZY \
  | 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: d26df08e8b554448988b16c0a487e2ce19bde1b0c2ab1c1e91c2b84c6d8d6ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aaa9b6a3d801e68e3c1a6a09dc1c58253ede0c058efdef2fe30917db93cbf4f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-01-28T00:52:29Z",
    "title_canon_sha256": "aeed85abb72332bb10d06c8ad145d9da1bab22df7fe653157580336f5e7d14d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401389",
    "kind": "arxiv",
    "version": 2
  }
}