Pith Number

pith:N225UMXM

pith:2017:N225UMXM7KFZ6PFRPYR5E463UU

not attested not anchored not stored refs pending

Stein's method using approximate zero bias couplings with applications to combinatorial central limit theorems under the Ewens distribution

Nathakhun Wiroonsri

arxiv:1707.03546 v2 · 2017-07-12 · 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{N225UMXM7KFZ6PFRPYR5E463UU}

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	2026-05-18T00:29:45.762450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb5da32ecfa8b9f3cb17e23d273dba530172a00f65726ee3acd27eab2200ac9

Aliases

arxiv: 1707.03546 · arxiv_version: 1707.03546v2 · doi: 10.48550/arxiv.1707.03546 · pith_short_12: N225UMXM7KFZ · pith_short_16: N225UMXM7KFZ6PFR · pith_short_8: N225UMXM

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/N225UMXM7KFZ6PFRPYR5E463UU \
  | 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: 6eb5da32ecfa8b9f3cb17e23d273dba530172a00f65726ee3acd27eab2200ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cc647981919fb06ead0d5f7a82da4ddd3ee01ed906d877757f41048eb2f01f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-12T05:32:08Z",
    "title_canon_sha256": "17120b9f329e356a863a179ff6cada3ac2da3a095021c70b3c72e1a8e448b8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03546",
    "kind": "arxiv",
    "version": 2
  }
}