Pith Number

pith:Y4VKXHEE

pith:2016:Y4VKXHEELGTKFWQOUZNCZLHYCW

not attested not anchored not stored refs pending

Optimal Unbiased Estimation for Maximal Distribution

Hanqing Jin, Shige Peng

arxiv:1611.07994 v1 · 2016-11-23 · 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{Y4VKXHEELGTKFWQOUZNCZLHYCW}

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	2026-05-18T00:56:44.748744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72aab9c8459a6a2da0ea65a2cacf8158fcb74923809b52dbb50ff07efc3230c

Aliases

arxiv: 1611.07994 · arxiv_version: 1611.07994v1 · doi: 10.48550/arxiv.1611.07994 · pith_short_12: Y4VKXHEELGTK · pith_short_16: Y4VKXHEELGTKFWQO · pith_short_8: Y4VKXHEE

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/Y4VKXHEELGTKFWQOUZNCZLHYCW \
  | 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: c72aab9c8459a6a2da0ea65a2cacf8158fcb74923809b52dbb50ff07efc3230c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fdfbdbffea0a21245e9d20c030993a700a4e3fb957825e41c322fb13afe4ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-23T21:08:28Z",
    "title_canon_sha256": "71a6d6761d5db362ea1d12cb12ecf04592edf0ef8a373683e65b1d4dac623851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07994",
    "kind": "arxiv",
    "version": 1
  }
}