Pith Number

pith:A34CRHJB

pith:2010:A34CRHJBWDIILF33UG2IHAKSWB

not attested not anchored not stored refs pending

Multigrid preconditioning of linear systems for interior point methods applied to a class of box-constrained optimal control problems

Andrei Draganescu, Cosmin Petra

arxiv:1004.0382 v2 · 2010-04-02 · math.NA · cs.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A34CRHJBWDIILF33UG2IHAKSWB}

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	2026-05-18T04:25:11.396456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f8289d21b0d085977ba1b4838152b057ceb465fd63bde1568e1f83f9eda5e3

Aliases

arxiv: 1004.0382 · arxiv_version: 1004.0382v2 · doi: 10.48550/arxiv.1004.0382 · pith_short_12: A34CRHJBWDII · pith_short_16: A34CRHJBWDIILF33 · pith_short_8: A34CRHJB

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/A34CRHJBWDIILF33UG2IHAKSWB \
  | 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: 06f8289d21b0d085977ba1b4838152b057ceb465fd63bde1568e1f83f9eda5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168854d758f1b4ae8a8948d2f0554f25a4bd94d79480df2786858a8084effddb",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-04-02T19:58:11Z",
    "title_canon_sha256": "09587898cc043ce007ab996c604fa264d28fe55d1500f2a4e91071d516b2f1fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0382",
    "kind": "arxiv",
    "version": 2
  }
}