Pith Number

pith:5WWUY2LL

pith:2016:5WWUY2LL2Y2VQLFVRR6XEI4GQP

not attested not anchored not stored refs pending

On computing distributions of products of random variables via Gaussian multiresolution analysis

Gregory Beylkin, Ignas Satkauskas, Lucas Monzon

arxiv:1611.08580 v2 · 2016-11-25 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WWUY2LL2Y2VQLFVRR6XEI4GQP}

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	2026-05-18T00:43:01.644218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edad4c696bd635582cb58c7d72238683e7e8798cc174210e07e3aec9eb5b0ea5

Aliases

arxiv: 1611.08580 · arxiv_version: 1611.08580v2 · doi: 10.48550/arxiv.1611.08580 · pith_short_12: 5WWUY2LL2Y2V · pith_short_16: 5WWUY2LL2Y2VQLFV · pith_short_8: 5WWUY2LL

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/5WWUY2LL2Y2VQLFVRR6XEI4GQP \
  | 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: edad4c696bd635582cb58c7d72238683e7e8798cc174210e07e3aec9eb5b0ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f859036b8b7dc758d81097825a06918ca355696b886d79316e4d82fe5194c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-25T20:34:36Z",
    "title_canon_sha256": "40bb3ef63d906e053e75b1666ad6911bc132cd8073d4ff01d883a9898ca168cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08580",
    "kind": "arxiv",
    "version": 2
  }
}