Pith Number

pith:JOAIEFOI

pith:2013:JOAIEFOIQNZEZAUNJYLST2HWBI

not attested not anchored not stored refs pending

Smoothing equations for large P\'olya urns

Brigitte Chauvin, C\'ecile Mailler, Nicolas Pouyanne

arxiv:1302.1412 v3 · 2013-02-06 · 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{JOAIEFOIQNZEZAUNJYLST2HWBI}

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	2026-05-18T03:22:17.093671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b808215c883724c828d4e1729e8f60a16ae5de9ad91da93082173d77bde6a99

Aliases

arxiv: 1302.1412 · arxiv_version: 1302.1412v3 · doi: 10.48550/arxiv.1302.1412 · pith_short_12: JOAIEFOIQNZE · pith_short_16: JOAIEFOIQNZEZAUN · pith_short_8: JOAIEFOI

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/JOAIEFOIQNZEZAUNJYLST2HWBI \
  | 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: 4b808215c883724c828d4e1729e8f60a16ae5de9ad91da93082173d77bde6a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60238cb21bdbdd6850e962a5ab3082d424097d9724b2bac0c0c9e2afe51a68fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-06T15:51:55Z",
    "title_canon_sha256": "5651d8025e0279109dde7a39cbf2681b9d600b0266333eecbc972bf7fbc91291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1412",
    "kind": "arxiv",
    "version": 3
  }
}