Pith Number

pith:2X3RYUMB

pith:2017:2X3RYUMBF2Z25YDC7Z4JFQMO7R

not attested not anchored not stored refs pending

Stein approximation for functionals of independent random sequences

Grzegorz Serafin, Nicolas Privault

arxiv:1706.09728 v2 · 2017-06-29 · 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{2X3RYUMBF2Z25YDC7Z4JFQMO7R}

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	2026-05-18T00:22:28.966673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f71c51812eb3aee062fe7892c18efc547ec8da9c1eec0128cedcaa4b28aee3

Aliases

arxiv: 1706.09728 · arxiv_version: 1706.09728v2 · doi: 10.48550/arxiv.1706.09728 · pith_short_12: 2X3RYUMBF2Z2 · pith_short_16: 2X3RYUMBF2Z25YDC · pith_short_8: 2X3RYUMB

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/2X3RYUMBF2Z25YDC7Z4JFQMO7R \
  | 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: d5f71c51812eb3aee062fe7892c18efc547ec8da9c1eec0128cedcaa4b28aee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3a703e721643669e1e20bfce84fd61888b4ca7ce69d35a43233af6d1595d39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-29T12:53:27Z",
    "title_canon_sha256": "7aa92510646c51dc94c24cb25410626b715fdd12512bbf2e56ca503f1b6fbf1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09728",
    "kind": "arxiv",
    "version": 2
  }
}