Pith Number

pith:7T2LIRT7

pith:2013:7T2LIRT7NRYGYK2ZOETRDEJ4VU

not attested not anchored not stored refs pending

Integration by parts and representation of information functionals

Giovanni Peccati, Ivan Nourdin, Yvik Swan

arxiv:1312.5276 v2 · 2013-12-18 · 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{7T2LIRT7NRYGYK2ZOETRDEJ4VU}

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	2026-05-18T00:57:52.404789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf4b4467f6c706c2b59712711913cad0dc70b25a0e3ae75848d284dbceb7540

Aliases

arxiv: 1312.5276 · arxiv_version: 1312.5276v2 · doi: 10.48550/arxiv.1312.5276 · pith_short_12: 7T2LIRT7NRYG · pith_short_16: 7T2LIRT7NRYGYK2Z · pith_short_8: 7T2LIRT7

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/7T2LIRT7NRYGYK2ZOETRDEJ4VU \
  | 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: fcf4b4467f6c706c2b59712711913cad0dc70b25a0e3ae75848d284dbceb7540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4edc4f88f4f5d90ce66be605708e21ef7582e643a6320079f90505918dc1fd6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-18T19:23:43Z",
    "title_canon_sha256": "b8f9b89dbc5b43d475a24d9d8577b7df38db8208aa01a08f86feffe1cdbb3844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5276",
    "kind": "arxiv",
    "version": 2
  }
}