Pith Number

pith:6Y56R4MW

pith:2012:6Y56R4MWVB7O6HIKRBOFPWXO4C

not attested not anchored not stored refs pending

Split Sampling: Expectations, Normalisation and Rare Events

Changgee Chang, John R. Birge, Nicholas G. Polson

arxiv:1212.0534 v2 · 2012-12-03 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Y56R4MWVB7O6HIKRBOFPWXO4C}

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	2026-05-18T03:08:16.370676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f63be8f196a87eef1d0a885c57daeee0a4cc9d0b44b9af5b60b55e9c1d54216c

Aliases

arxiv: 1212.0534 · arxiv_version: 1212.0534v2 · doi: 10.48550/arxiv.1212.0534 · pith_short_12: 6Y56R4MWVB7O · pith_short_16: 6Y56R4MWVB7O6HIK · pith_short_8: 6Y56R4MW

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/6Y56R4MWVB7O6HIKRBOFPWXO4C \
  | 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: f63be8f196a87eef1d0a885c57daeee0a4cc9d0b44b9af5b60b55e9c1d54216c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30fd8a916e1b76ed79c98f1c118c66fa411d0e2a634aa90dd4e0ecbf16920b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2012-12-03T20:55:18Z",
    "title_canon_sha256": "4d746013041b4463e2de6bb518a65f065f017f6e4250617e305ece94b4d98d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0534",
    "kind": "arxiv",
    "version": 2
  }
}