Pith Number

pith:WFK7PKM6

pith:2011:WFK7PKM642QD4RGVJM2JNPSFFP

not attested not anchored not stored refs pending

Multigrid preconditioning of linear systems for semismooth Newton methods applied to optimization problems constrained by smoothing operators

Andrei Draganescu

arxiv:1106.0090 v2 · 2011-06-01 · math.NA · 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{WFK7PKM642QD4RGVJM2JNPSFFP}

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	2026-05-18T03:07:52.982215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b155f7a99ee6a03e44d54b3496be452be331eeb43ea02e5af4542a1ebb6623ce

Aliases

arxiv: 1106.0090 · arxiv_version: 1106.0090v2 · doi: 10.48550/arxiv.1106.0090 · pith_short_12: WFK7PKM642QD · pith_short_16: WFK7PKM642QD4RGV · pith_short_8: WFK7PKM6

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/WFK7PKM642QD4RGVJM2JNPSFFP \
  | 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: b155f7a99ee6a03e44d54b3496be452be331eeb43ea02e5af4542a1ebb6623ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d692507a7ebace7b513c82581f19ebab2979d37af5760a75df16262e2aa52f1",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-01T04:46:11Z",
    "title_canon_sha256": "a230b03b9403543dc52599eacc6a0765a142af661a99e6945ae68ab6329e248b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0090",
    "kind": "arxiv",
    "version": 2
  }
}