Pith Number

pith:R44NWMXN

pith:2012:R44NWMXNR5KIA6355F2BPW6KEA

not attested not anchored not stored refs pending

Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods

Bed\v{r}ich Soused\'ik, Eric T. Phipps, Roger G. Ghanem

arxiv:1205.1864 v2 · 2012-05-09 · math.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{R44NWMXNR5KIA6355F2BPW6KEA}

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	2026-05-18T02:47:31.731795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f38db32ed8f54807b7de97417dbca2016dc1520bd82f3c0089b3f433f6997fc

Aliases

arxiv: 1205.1864 · arxiv_version: 1205.1864v2 · doi: 10.48550/arxiv.1205.1864 · pith_short_12: R44NWMXNR5KI · pith_short_16: R44NWMXNR5KIA635 · pith_short_8: R44NWMXN

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/R44NWMXNR5KIA6355F2BPW6KEA \
  | 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: 8f38db32ed8f54807b7de97417dbca2016dc1520bd82f3c0089b3f433f6997fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42ce9284fd73d7bd0a70201b2fa8f99965a23c0eb1eec06c96a080f1b2caf3d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-09T03:47:39Z",
    "title_canon_sha256": "a0af2cb27e48f5ea88494a582ada0ec6a2fd66b11d6290ab473e061a5e498729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1864",
    "kind": "arxiv",
    "version": 2
  }
}