Pith Number

pith:PMJ2LX2S

pith:2010:PMJ2LX2SYWWOZWC55IFRTPA3MS

not attested not anchored not stored refs pending

A robust two-level incomplete factorization for (Navier-)Stokes saddle point matrices

Fred Wubs, Jonas Thies

arxiv:1006.1874 v1 · 2010-06-09 · math.NA · cs.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{PMJ2LX2SYWWOZWC55IFRTPA3MS}

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	2026-06-03T23:06:38.235993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b13a5df52c5acecd85dea0b19bc1b64bf169927eedde72a9523260350ff4ee9

Aliases

arxiv: 1006.1874 · arxiv_version: 1006.1874v1 · doi: 10.48550/arxiv.1006.1874 · pith_short_12: PMJ2LX2SYWWO · pith_short_16: PMJ2LX2SYWWOZWC5 · pith_short_8: PMJ2LX2S

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/PMJ2LX2SYWWOZWC55IFRTPA3MS \
  | 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: 7b13a5df52c5acecd85dea0b19bc1b64bf169927eedde72a9523260350ff4ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55030e7cf38e816648c1db97ad3d65edd836723314d6a1a6b89f9c707ad35d74",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-06-09T18:52:25Z",
    "title_canon_sha256": "82672b9312ed4412aa2e303ef9451e9777271cc6de623b893c825de2c12b6c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1874",
    "kind": "arxiv",
    "version": 1
  }
}