Pith Number

pith:ULFVX3TY

pith:2014:ULFVX3TY7ZDK3KGEPKUCCXKEXB

not attested not anchored not stored refs pending

Multi-level higher order QMC Galerkin discretization for affine parametric operator equations

Christoph Schwab, Frances Kuo, Josef Dick, Quoc Thong Le Gia

arxiv:1406.4432 v2 · 2014-06-17 · 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{ULFVX3TY7ZDK3KGEPKUCCXKEXB}

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	2026-05-18T01:35:35.394759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cb5bee78fe46ada8c47aa8215d44b85dc0ca7dc215ace16d0fb8955550c445

Aliases

arxiv: 1406.4432 · arxiv_version: 1406.4432v2 · doi: 10.48550/arxiv.1406.4432 · pith_short_12: ULFVX3TY7ZDK · pith_short_16: ULFVX3TY7ZDK3KGE · pith_short_8: ULFVX3TY

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/ULFVX3TY7ZDK3KGEPKUCCXKEXB \
  | 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: a2cb5bee78fe46ada8c47aa8215d44b85dc0ca7dc215ace16d0fb8955550c445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756a897de3993ed3727528565972ca29b845f4a5e6ce060bd8d1a258abe91e04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-06-17T17:15:10Z",
    "title_canon_sha256": "158c4d06ca848695032377da2d86b910b49f5963f3ba8e2c4cc6c47159835302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4432",
    "kind": "arxiv",
    "version": 2
  }
}