Pith Number

pith:EMYJOYE5

pith:2012:EMYJOYE5BCQSC624MKB4E6H2S5

not attested not anchored not stored refs pending

Invariance principles for homogeneous sums of free random variables

Aur\'elien Deya (IECN), Ivan Nourdin (IECN)

arxiv:1201.1753 v3 · 2012-01-09 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMYJOYE5BCQSC624MKB4E6H2S5}

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	2026-05-18T02:56:45.207840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233097609d08a1217b5c6283c278fa975fdf657568c736d638dade7942920b1c

Aliases

arxiv: 1201.1753 · arxiv_version: 1201.1753v3 · doi: 10.48550/arxiv.1201.1753 · pith_short_12: EMYJOYE5BCQS · pith_short_16: EMYJOYE5BCQSC624 · pith_short_8: EMYJOYE5

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/EMYJOYE5BCQSC624MKB4E6H2S5 \
  | 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: 233097609d08a1217b5c6283c278fa975fdf657568c736d638dade7942920b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397b142673a0dd51ca40009a3300eef6dd22b854e74ca9a38be34256a7258447",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-09T13:24:59Z",
    "title_canon_sha256": "53898c253aab56dff2a11842017ad9ea35a4c36c954b10986e369bf27a57fd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1753",
    "kind": "arxiv",
    "version": 3
  }
}