Pith Number

pith:HBTD6KHG

pith:2017:HBTD6KHGUHUWAUA7RVSQG5RGHP

not attested not anchored not stored refs pending

Selfdecomposability of Weak Variance Generalised Gamma Convolutions

Boris Buchmann, Dilip B. Madan, Kevin W. Lu

arxiv:1712.03640 v3 · 2017-12-11 · 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{HBTD6KHGUHUWAUA7RVSQG5RGHP}

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	2026-05-17T23:52:18.728733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38663f28e6a1e960501f8d650376263bc1e6b10213ca965e8d678f93f3d3b606

Aliases

arxiv: 1712.03640 · arxiv_version: 1712.03640v3 · doi: 10.48550/arxiv.1712.03640 · pith_short_12: HBTD6KHGUHUW · pith_short_16: HBTD6KHGUHUWAUA7 · pith_short_8: HBTD6KHG

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/HBTD6KHGUHUWAUA7RVSQG5RGHP \
  | 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: 38663f28e6a1e960501f8d650376263bc1e6b10213ca965e8d678f93f3d3b606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6c09d5257600d3f3295070874dba80a753d255907765c46e97c8745f0d4c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-11T04:04:14Z",
    "title_canon_sha256": "6fdc488d29bd164ccca89ef1003ee54cdc403f5cf8e0d2b769bfa27f6d740147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03640",
    "kind": "arxiv",
    "version": 3
  }
}