Pith Number

pith:4TKP2MPE

pith:2011:4TKP2MPE55J4FOQA2SGNMJOMVX

not attested not anchored not stored refs pending

Differential cumulants, hierachical models and monomial ideals

Daniel Bruynooghe, Henry P. Wynn

arxiv:1102.2118 v1 · 2011-02-10 · 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{4TKP2MPE55J4FOQA2SGNMJOMVX}

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	2026-05-18T04:29:34.213791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d4fd31e4ef53c2ba00d48cd625ccade1ae2c394df46048767c6edc6d08cf41

Aliases

arxiv: 1102.2118 · arxiv_version: 1102.2118v1 · doi: 10.48550/arxiv.1102.2118 · pith_short_12: 4TKP2MPE55J4 · pith_short_16: 4TKP2MPE55J4FOQA · pith_short_8: 4TKP2MPE

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/4TKP2MPE55J4FOQA2SGNMJOMVX \
  | 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: e4d4fd31e4ef53c2ba00d48cd625ccade1ae2c394df46048767c6edc6d08cf41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d847c7642bc2a0f2193e8fabb8d9b76578f0b85feca3fd1713ddd5d525cb3b90",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-10T13:57:03Z",
    "title_canon_sha256": "a0518ceb72cb7a84a7790ca7a8d7e7d0e1bdf7bb3b932ce49febe5d8ecdac479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2118",
    "kind": "arxiv",
    "version": 1
  }
}