Pith Number

pith:VDVDX7PD

pith:2016:VDVDX7PDDB2NGCQ7RPAXOQUD76

not attested not anchored not stored refs pending

Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)

Bj\"orn Sprungk, Lorenzo Tamellini, Oliver G. Ernst

arxiv:1611.07239 v2 · 2016-11-22 · 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{VDVDX7PDDB2NGCQ7RPAXOQUD76}

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	2026-05-18T00:47:49.268895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ea3bfde31874d30a1f8bc1774283ffa198aa65466b876ee13c2408b7191e57

Aliases

arxiv: 1611.07239 · arxiv_version: 1611.07239v2 · doi: 10.48550/arxiv.1611.07239 · pith_short_12: VDVDX7PDDB2N · pith_short_16: VDVDX7PDDB2NGCQ7 · pith_short_8: VDVDX7PD

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/VDVDX7PDDB2NGCQ7RPAXOQUD76 \
  | 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: a8ea3bfde31874d30a1f8bc1774283ffa198aa65466b876ee13c2408b7191e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43476b1bad6c914b977023aa406f1f0434d9b0efa97e83197db0f64fe1737752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-22T10:35:57Z",
    "title_canon_sha256": "004e116d6d0f97ad5fba22e6b96cd07887673a88cd8cc130febbd37a00b0f15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07239",
    "kind": "arxiv",
    "version": 2
  }
}