Pith Number

pith:KHUJ2YFF

pith:2012:KHUJ2YFFAZ2VQ4RA4T27L4BCRL

not attested not anchored not stored refs pending

Optimal Detection For Sparse Mixtures

T. Tony Cai, Yihong Wu

arxiv:1211.2265 v1 · 2012-11-09 · cs.IT · math.IT · 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{KHUJ2YFFAZ2VQ4RA4T27L4BCRL}

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	2026-05-18T03:41:03.945927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e89d60a50675587220e4f5f5f0228adba78212625d1a2990a60b76063026b5

Aliases

arxiv: 1211.2265 · arxiv_version: 1211.2265v1 · doi: 10.48550/arxiv.1211.2265 · pith_short_12: KHUJ2YFFAZ2V · pith_short_16: KHUJ2YFFAZ2VQ4RA · pith_short_8: KHUJ2YFF

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/KHUJ2YFFAZ2VQ4RA4T27L4BCRL \
  | 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: 51e89d60a50675587220e4f5f5f0228adba78212625d1a2990a60b76063026b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8b5b17936d0eb46307eee55672b7e04e38afd790272658f5ebe642019683e5",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-09T23:31:47Z",
    "title_canon_sha256": "8f507793811e5751b3cd04801acf41a7ee3e19adb25b59adfb694bb20b48ced6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2265",
    "kind": "arxiv",
    "version": 1
  }
}