Pith Number

pith:4PBLR3ZG

pith:2016:4PBLR3ZGHOOD4LPBLOPGA4W5E4

not attested not anchored not stored refs pending

Cram\'er type moderate deviations for intermediate trimmed means

Nadezhda Gribkova

arxiv:1608.02246 v1 · 2016-08-07 · 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{4PBLR3ZGHOOD4LPBLOPGA4W5E4}

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	2026-05-18T01:09:40.656332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c2b8ef263b9c3e2de15b9e6072dd27207bda4944a66a14e01338a4ecfa33fb

Aliases

arxiv: 1608.02246 · arxiv_version: 1608.02246v1 · doi: 10.48550/arxiv.1608.02246 · pith_short_12: 4PBLR3ZGHOOD · pith_short_16: 4PBLR3ZGHOOD4LPB · pith_short_8: 4PBLR3ZG

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/4PBLR3ZGHOOD4LPBLOPGA4W5E4 \
  | 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: e3c2b8ef263b9c3e2de15b9e6072dd27207bda4944a66a14e01338a4ecfa33fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501a4389bc62be9c88ae66470bb5056ad76f4d3d3b7231a57fd23e2ddb2b1238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-07T17:27:28Z",
    "title_canon_sha256": "42ef7481cc77526a82b243ce4c17ec262fadf1509cd3049ff73623122072dde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02246",
    "kind": "arxiv",
    "version": 1
  }
}