Pith Number

pith:ZYMLPLJV

pith:2013:ZYMLPLJV3A222TW35PJMJ736KG

not attested not anchored not stored refs pending

Fisher Information and the Fourth Moment Theorem

David Nualart, Ivan Nourdin (IECL)

arxiv:1312.5841 v1 · 2013-12-20 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYMLPLJV3A222TW35PJMJ736KG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:04:07.696991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce18b7ad35d835ad4edbebd2c4ff7e51b0fea0ca6ca7073556b2518ce459172c

Aliases

arxiv: 1312.5841 · arxiv_version: 1312.5841v1 · doi: 10.48550/arxiv.1312.5841 · pith_short_12: ZYMLPLJV3A22 · pith_short_16: ZYMLPLJV3A222TW3 · pith_short_8: ZYMLPLJV

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/ZYMLPLJV3A222TW35PJMJ736KG \
  | 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: ce18b7ad35d835ad4edbebd2c4ff7e51b0fea0ca6ca7073556b2518ce459172c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850f755dd559f5e4261a078d3be78863d7e28dfd77a560db091911a29d0918a9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-20T08:13:00Z",
    "title_canon_sha256": "f18cf0f63e89b599276a625682b0e6037e19c2ca1f157e76dfa6341c4d85376b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5841",
    "kind": "arxiv",
    "version": 1
  }
}