Pith Number

pith:KPNZOLOC

pith:2011:KPNZOLOCMNQI3MEVW7GF5ERBGS

not attested not anchored not stored refs pending

Multilevel quasiseparable matrices in PDE-constrained optimization

Jacek Gondzio, Pavel Zhlobich

arxiv:1112.6018 v2 · 2011-12-27 · 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{KPNZOLOCMNQI3MEVW7GF5ERBGS}

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	2026-05-18T04:05:26.541508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53db972dc263608db095b7cc5e922134b08f9ba89d88811e2a41d348e819168f

Aliases

arxiv: 1112.6018 · arxiv_version: 1112.6018v2 · doi: 10.48550/arxiv.1112.6018 · pith_short_12: KPNZOLOCMNQI · pith_short_16: KPNZOLOCMNQI3MEV · pith_short_8: KPNZOLOC

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/KPNZOLOCMNQI3MEVW7GF5ERBGS \
  | 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: 53db972dc263608db095b7cc5e922134b08f9ba89d88811e2a41d348e819168f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ece7ff5b53c02f71bad23bc74617cf52ec2405b53b0423df41eef6d5cc96929",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-27T20:48:03Z",
    "title_canon_sha256": "1b7a43796bb848c0d5103e20dd9c304f171b9ff119c20133dd065db16e219047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6018",
    "kind": "arxiv",
    "version": 2
  }
}