Pith Number

pith:WC5PRYML

pith:2015:WC5PRYMLXTG6D3KTDUUUNOROY7

not attested not anchored not stored refs pending

Multi-index Stochastic Collocation convergence rates for random PDEs with parametric regularity

Abdul-Lateef Haji-Ali, Fabio Nobile, Lorenzo Tamellini, Raul Tempone

arxiv:1511.05393 v2 · 2015-11-17 · 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{WC5PRYMLXTG6D3KTDUUUNOROY7}

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	2026-05-18T01:10:42.931523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0baf8e18bbccde1ed531d2946ba2ec7d869858cb98b84a801c81cdf10e6c64f

Aliases

arxiv: 1511.05393 · arxiv_version: 1511.05393v2 · doi: 10.48550/arxiv.1511.05393 · pith_short_12: WC5PRYMLXTG6 · pith_short_16: WC5PRYMLXTG6D3KT · pith_short_8: WC5PRYML

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/WC5PRYMLXTG6D3KTDUUUNOROY7 \
  | 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: b0baf8e18bbccde1ed531d2946ba2ec7d869858cb98b84a801c81cdf10e6c64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331251606620cad696db3f7b5187f79887691776dd8c26f413e306cd0b82ec1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-17T13:29:52Z",
    "title_canon_sha256": "59002fcbea9cdeb87829fdac731ce498bd142efbde6e849ea09ca424c6eed68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05393",
    "kind": "arxiv",
    "version": 2
  }
}