Pith Number

pith:KT6FCZ7Z

pith:2020:KT6FCZ7Z3BMJV7SA3VS4EY4PKO

not attested not anchored not stored refs pending

A note on degenerate gamma random variables

Dae San Kim, Hyunseok Lee, Jongkyum Kwon, Taekyun Kim

arxiv:2004.08660 v1 · 2020-04-18 · math.PR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT6FCZ7Z3BMJV7SA3VS4EY4PKO}

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	2026-07-05T00:56:08.249255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fc5167f9d8589afe40dd65c2638f53843aaa3165dae90d199e98f5638562c5

Aliases

arxiv: 2004.08660 · arxiv_version: 2004.08660v1 · doi: 10.48550/arxiv.2004.08660 · pith_short_12: KT6FCZ7Z3BMJ · pith_short_16: KT6FCZ7Z3BMJV7SA · pith_short_8: KT6FCZ7Z

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/KT6FCZ7Z3BMJV7SA3VS4EY4PKO \
  | 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: 54fc5167f9d8589afe40dd65c2638f53843aaa3165dae90d199e98f5638562c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6161cb0c579166f32c29c15598b367a01ee2a72777bff14253d4e9a0547403",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-18T16:34:54Z",
    "title_canon_sha256": "fb6abd21c964e58107a9b7ed69826c319d263d39a3b370e30895ebe91a6642c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08660",
    "kind": "arxiv",
    "version": 1
  }
}