Pith Number

pith:72NFKUCE

pith:2012:72NFKUCEDN7FPRTFMA74QN7D6N

not attested not anchored not stored refs pending

A uniform inf--sup condition with applications to preconditioning

Joachim Sch\"oberl, Kent-Andre Mardal, Ragnar Winther

arxiv:1201.1513 v1 · 2012-01-06 · 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{72NFKUCEDN7FPRTFMA74QN7D6N}

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	2026-05-18T04:05:03.151537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9a5550441b7e57c665603fc837e3f3696f382ba4bda269b97ff6a338340960

Aliases

arxiv: 1201.1513 · arxiv_version: 1201.1513v1 · doi: 10.48550/arxiv.1201.1513 · pith_short_12: 72NFKUCEDN7F · pith_short_16: 72NFKUCEDN7FPRTF · pith_short_8: 72NFKUCE

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/72NFKUCEDN7FPRTFMA74QN7D6N \
  | 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: fe9a5550441b7e57c665603fc837e3f3696f382ba4bda269b97ff6a338340960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1058b0a90713518b998af4684e8c3142a5439c08eed0ccf30925a29f4511449b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-01-06T22:14:10Z",
    "title_canon_sha256": "b1ba11049d5cc6aab8302a7d4152003ae48e36760d6e233a6fbadb1f8487a607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1513",
    "kind": "arxiv",
    "version": 1
  }
}