Pith Number

pith:CK3X4LL6

pith:2018:CK3X4LL6QPOXYEYDRN7ZROOOCQ

not attested not anchored not stored refs pending

Density and Distribution Evaluation for Convolution of Independent Gamma Variables

Chaoran Hu, Jun Yan, Vladimir Pozdnyakov

arxiv:1806.04059 v1 · 2018-06-11 · stat.CO · 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{CK3X4LL6QPOXYEYDRN7ZROOOCQ}

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	2026-07-05T05:25:11.078414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b77e2d7e83dd7c13038b7f98b9ce1405e04b4e43cea16fcf9825c5c1bd7def

Aliases

arxiv: 1806.04059 · arxiv_version: 1806.04059v1 · doi: 10.48550/arxiv.1806.04059 · pith_short_12: CK3X4LL6QPOX · pith_short_16: CK3X4LL6QPOXYEYD · pith_short_8: CK3X4LL6

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/CK3X4LL6QPOXYEYDRN7ZROOOCQ \
  | 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: 12b77e2d7e83dd7c13038b7f98b9ce1405e04b4e43cea16fcf9825c5c1bd7def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff018da7a425c6fd737f5a0f11e343c7098f6f33f88a736951f76a41882b2b4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2018-06-11T15:37:11Z",
    "title_canon_sha256": "8eeb1ccd800ec40dc0ff3395cacac8f47a39b40ba9187689c7ea630cb508d6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04059",
    "kind": "arxiv",
    "version": 1
  }
}