Pith Number

pith:64QFTBRE

pith:2012:64QFTBREXFYAL3XLVIEAILQMEM

not attested not anchored not stored refs pending

A Scalable Auxiliary Space Preconditioner for High-Order Finite Element Methods

Chen-Song Zhang, Wei Leng, Young-Ju Lee

arxiv:1204.2586 v1 · 2012-04-11 · math.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64QFTBREXFYAL3XLVIEAILQMEM}

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	2026-05-18T03:58:03.966616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f720598624b97005eeebaa08042e0c2322692bfdf0078074536a8d168026b433

Aliases

arxiv: 1204.2586 · arxiv_version: 1204.2586v1 · doi: 10.48550/arxiv.1204.2586 · pith_short_12: 64QFTBREXFYA · pith_short_16: 64QFTBREXFYAL3XL · pith_short_8: 64QFTBRE

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/64QFTBREXFYAL3XLVIEAILQMEM \
  | 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: f720598624b97005eeebaa08042e0c2322692bfdf0078074536a8d168026b433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5922704bc1ca62c068e80ed92c391d8b0c1c588f853a8ea2812f64f82934027d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-11T22:27:30Z",
    "title_canon_sha256": "014f44e3019fba96efd0efb4c1dd9678fdccdd1529e64c39e82f9e780e61b049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2586",
    "kind": "arxiv",
    "version": 1
  }
}