Pith Number

pith:U4KWIH5L

pith:2011:U4KWIH5LUDDOBTMF7PZUGTBOXN

not attested not anchored not stored refs pending

Discrete Stein characterizations and discrete information distances

Christophe Ley, Yvik Swan

arxiv:1201.0143 v1 · 2011-12-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4KWIH5LUDDOBTMF7PZUGTBOXN}

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	2026-05-18T04:05:26.029853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a715641faba0c6e0cd85fbf3434c2ebb5b5f43cd523ee0dd1952f39e45e9dc6b

Aliases

arxiv: 1201.0143 · arxiv_version: 1201.0143v1 · doi: 10.48550/arxiv.1201.0143 · pith_short_12: U4KWIH5LUDDO · pith_short_16: U4KWIH5LUDDOBTMF · pith_short_8: U4KWIH5L

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/U4KWIH5LUDDOBTMF7PZUGTBOXN \
  | 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: a715641faba0c6e0cd85fbf3434c2ebb5b5f43cd523ee0dd1952f39e45e9dc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2821f3017b3711f59e2cebd9a95af4aaa2a67f55ffb5c12973fc2a62d411cade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-30T15:54:44Z",
    "title_canon_sha256": "06062e2706ddcc9f319c33aec560617dbee0ab0c1cddd92ebd6e2203fd82123a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0143",
    "kind": "arxiv",
    "version": 1
  }
}