Pith Number

pith:7B6PV5J6

pith:2010:7B6PV5J6DIKRKLSBK53OWDHPZH

not attested not anchored not stored refs pending

Adjusted empirical likelihood with high-order precision

Jiahua Chen, Yukun Liu

arxiv:1010.0313 v1 · 2010-10-02 · 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{7B6PV5J6DIKRKLSBK53OWDHPZH}

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	2026-05-18T04:39:58.670855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87cfaf53e1a15152e415776eb0cefc9e91570664f239c89626d0176e050d33b

Aliases

arxiv: 1010.0313 · arxiv_version: 1010.0313v1 · doi: 10.48550/arxiv.1010.0313 · pith_short_12: 7B6PV5J6DIKR · pith_short_16: 7B6PV5J6DIKRKLSB · pith_short_8: 7B6PV5J6

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/7B6PV5J6DIKRKLSBK53OWDHPZH \
  | 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: f87cfaf53e1a15152e415776eb0cefc9e91570664f239c89626d0176e050d33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9459532954f2390c66b1a069a0cc029a6dd35d387248b6c05e94856a3c61bb",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-02T09:05:54Z",
    "title_canon_sha256": "f4ba88d26777a57b90f7f4fc9441357b7a78f6b4743c880be60cee87ac38b1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0313",
    "kind": "arxiv",
    "version": 1
  }
}