Pith Number

pith:3HUQWB2M

pith:2016:3HUQWB2MKVLCFH5BUQ6TAHWS66

not attested not anchored not stored refs pending

On normal approximations for the two-sample problem on multidimensional tori

Claudio Durastanti, Solesne Bourguin

arxiv:1604.01316 v1 · 2016-04-05 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HUQWB2MKVLCFH5BUQ6TAHWS66}

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	2026-05-18T01:17:38.523473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e90b074c5556229fa1a43d301ed2f79a92aefc9f57addba9f904881650b2c4

Aliases

arxiv: 1604.01316 · arxiv_version: 1604.01316v1 · doi: 10.48550/arxiv.1604.01316 · pith_short_12: 3HUQWB2MKVLC · pith_short_16: 3HUQWB2MKVLCFH5B · pith_short_8: 3HUQWB2M

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/3HUQWB2MKVLCFH5BUQ6TAHWS66 \
  | 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: d9e90b074c5556229fa1a43d301ed2f79a92aefc9f57addba9f904881650b2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1dcb2f0c83f90338efbd9e3814727eb7f98c898f736919fd7b6c6b136cb6b86",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-05T16:12:02Z",
    "title_canon_sha256": "eab6dd4e19320c7296e828e7915c7602ac5eceb28b52007dc76c3b55a58cfb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01316",
    "kind": "arxiv",
    "version": 1
  }
}