Pith Number

pith:MUPKE5PP

pith:2012:MUPKE5PPDXXQJGO7OUATL2TFHL

not attested not anchored not stored refs pending

Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients

Christoph Schwab, Frances Y. Kuo, Ian H. Sloan

arxiv:1208.6349 v2 · 2012-08-31 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUPKE5PPDXXQJGO7OUATL2TFHL}

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	2026-05-18T02:51:49.762736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651ea275ef1def0499df750135ea653ac5a73c8567dbe2d284c79a841e34b829

Aliases

arxiv: 1208.6349 · arxiv_version: 1208.6349v2 · doi: 10.48550/arxiv.1208.6349 · pith_short_12: MUPKE5PPDXXQ · pith_short_16: MUPKE5PPDXXQJGO7 · pith_short_8: MUPKE5PP

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/MUPKE5PPDXXQJGO7OUATL2TFHL \
  | 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: 651ea275ef1def0499df750135ea653ac5a73c8567dbe2d284c79a841e34b829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0168b742103e1fbc9e1d1017e1e1c09e7f7be8d71aa3cb97399352f57c9816",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-31T02:01:23Z",
    "title_canon_sha256": "4da4b6022e65f50d81c51b391a28b2ad72289ace833313054c5f6a52b3b39130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6349",
    "kind": "arxiv",
    "version": 2
  }
}