Pith Number

pith:4CFUOXNB

pith:2012:4CFUOXNBBHWWPDW2KBIMOV3AF2

not attested not anchored not stored refs pending

Preconditioning to comply with the Irrepresentable Condition

Jinzhu Jia, Karl Rohe

arxiv:1208.5584 v1 · 2012-08-28 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CFUOXNBBHWWPDW2KBIMOV3AF2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:46:58.300450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f

Aliases

arxiv: 1208.5584 · arxiv_version: 1208.5584v1 · doi: 10.48550/arxiv.1208.5584 · pith_short_12: 4CFUOXNBBHWW · pith_short_16: 4CFUOXNBBHWWPDW2 · pith_short_8: 4CFUOXNB

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/4CFUOXNBBHWWPDW2KBIMOV3AF2 \
  | 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: e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a48549811b0c478468f6a66d5b23dce7fc30cabe74e8cb25cb46e31290331bff",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-08-28T08:06:06Z",
    "title_canon_sha256": "189bfe070ca430204eb116b1ed20739ae89c3942cac4cf2017d5a66dcebfc5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5584",
    "kind": "arxiv",
    "version": 1
  }
}