Pith Number

pith:TVLGSTVI

pith:2012:TVLGSTVICJXHRKABG2HB32P2CH

not attested not anchored not stored refs pending

Stein's density approach and information inequalities

Christophe Ley, Yvik Swan

arxiv:1210.3921 v2 · 2012-10-15 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVLGSTVICJXHRKABG2HB32P2CH}

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	2026-05-18T03:29:03.874543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d56694ea8126e78a801368e1de9fa11dfda16e46d1fd51352a43f8412614998

Aliases

arxiv: 1210.3921 · arxiv_version: 1210.3921v2 · doi: 10.48550/arxiv.1210.3921 · pith_short_12: TVLGSTVICJXH · pith_short_16: TVLGSTVICJXHRKAB · pith_short_8: TVLGSTVI

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/TVLGSTVICJXHRKABG2HB32P2CH \
  | 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: 9d56694ea8126e78a801368e1de9fa11dfda16e46d1fd51352a43f8412614998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec4babfd80747d291636c49fdc7591f15b771c8122c84f08305ea987756a4bb",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-15T07:19:50Z",
    "title_canon_sha256": "91b009994ded6f7856984f3c61a4596379b3b8e87cc3cf38cccef122d299f63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3921",
    "kind": "arxiv",
    "version": 2
  }
}