Pith Number

pith:45I3ZLE4

pith:2016:45I3ZLE4VIUWMCFPNA2FHUKJQJ

not attested not anchored not stored refs pending

Global Testing Against Sparse Alternatives under Ising Models

Ming Yuan, Rajarshi Mukherjee, Sumit Mukherjee

arxiv:1611.08293 v2 · 2016-11-24 · 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{45I3ZLE4VIUWMCFPNA2FHUKJQJ}

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	2026-05-18T00:33:39.497755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e751bcac9caa296608af683453d14982679fc48738b083acc94dbfefa888b76f

Aliases

arxiv: 1611.08293 · arxiv_version: 1611.08293v2 · doi: 10.48550/arxiv.1611.08293 · pith_short_12: 45I3ZLE4VIUW · pith_short_16: 45I3ZLE4VIUWMCFP · pith_short_8: 45I3ZLE4

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/45I3ZLE4VIUWMCFPNA2FHUKJQJ \
  | 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: e751bcac9caa296608af683453d14982679fc48738b083acc94dbfefa888b76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edef76c07522a0c25e02f001fd4dd5e1f95ca77c49d013749f0ce1eaf96beda3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-24T19:34:29Z",
    "title_canon_sha256": "b14dcbe2f6529043e42446b61323c19f393986fc2c34454bab6129ca2d74297e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08293",
    "kind": "arxiv",
    "version": 2
  }
}