Pith Number

pith:VCDWMRX3

pith:2019:VCDWMRX3LA4QQTCTYDA7O5LQFL

not attested not anchored not stored refs pending

Polynomial chaos expansions for dependent random variables

Akil Narayan, Dirk Plfueger, Fabian Franzelin, John Jakeman, Michael Eldred

arxiv:1903.09682 v1 · 2019-03-22 · math.NA · cs.NA · 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{VCDWMRX3LA4QQTCTYDA7O5LQFL}

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	2026-06-04T20:14:16.914644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8876646fb5839084c53c0c1f775702ad5f8e39391b8589316aaefbd3b928131

Aliases

arxiv: 1903.09682 · arxiv_version: 1903.09682v1 · doi: 10.48550/arxiv.1903.09682 · pith_short_12: VCDWMRX3LA4Q · pith_short_16: VCDWMRX3LA4QQTCT · pith_short_8: VCDWMRX3

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/VCDWMRX3LA4QQTCTYDA7O5LQFL \
  | 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: a8876646fb5839084c53c0c1f775702ad5f8e39391b8589316aaefbd3b928131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c7efe4604e3d8b4c850b61a8828bd7622a92ab7674dd2421b666ce0a671d8e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-22T19:20:11Z",
    "title_canon_sha256": "24862925b78fe26ff4e54147d1d833025ddfdd719ad8991db781109e2a87c964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09682",
    "kind": "arxiv",
    "version": 1
  }
}