Pith Number

pith:Z5KKU323

pith:2013:Z5KKU3237M5L7CEZOAERXJQGHS

not attested not anchored not stored refs pending

Truncated hierarchical preconditioning for the stochastic Galerkin FEM

Bed\v{r}ich Soused\'ik, Roger G. Ghanem

arxiv:1309.0826 v1 · 2013-09-03 · 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{Z5KKU3237M5L7CEZOAERXJQGHS}

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	2026-05-18T02:46:14.970558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf54aa6f5bfb3abf889970091ba6063c917f31654a75340e883a45bc4a33014c

Aliases

arxiv: 1309.0826 · arxiv_version: 1309.0826v1 · doi: 10.48550/arxiv.1309.0826 · pith_short_12: Z5KKU3237M5L · pith_short_16: Z5KKU3237M5L7CEZ · pith_short_8: Z5KKU323

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/Z5KKU3237M5L7CEZOAERXJQGHS \
  | 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: cf54aa6f5bfb3abf889970091ba6063c917f31654a75340e883a45bc4a33014c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bd323003f8d5130dfb222c9211f0f0d75daf3d5de4401ec2192962a1da9808",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-03T20:11:08Z",
    "title_canon_sha256": "1016c97e093f88ec2f8a325f9482477455a93ba53a4d6a7b7c6abd974264fe65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0826",
    "kind": "arxiv",
    "version": 1
  }
}