Pith Number

pith:FS2WFGRA

pith:2011:FS2WFGRAERJRIDYREBWIKJPYNZ

not attested not anchored not stored refs pending

Sparsity considerations for dependent observations

CREST), Paul Doukhan (AGM), Pierre Alquier (LPMA

arxiv:1102.1615 v5 · 2011-02-08 · 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{FS2WFGRAERJRIDYREBWIKJPYNZ}

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	2026-05-18T04:15:59.425568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb5629a202453140f11206c8525f86e71647aec8eada725ee899eab6021edab

Aliases

arxiv: 1102.1615 · arxiv_version: 1102.1615v5 · doi: 10.48550/arxiv.1102.1615 · pith_short_12: FS2WFGRAERJR · pith_short_16: FS2WFGRAERJRIDYR · pith_short_8: FS2WFGRA

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/FS2WFGRAERJRIDYREBWIKJPYNZ \
  | 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: 2cb5629a202453140f11206c8525f86e71647aec8eada725ee899eab6021edab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28b644c259b6d7d0f7ef6f268674f3161f9470bf3cb05cd1e7d8bac8a148df7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-08T14:47:03Z",
    "title_canon_sha256": "fb608999186be17945990141fa99205dcbcc72068e19ca62632b215af8702348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1615",
    "kind": "arxiv",
    "version": 5
  }
}