Pith Number

pith:GBS5XSA5

pith:2018:GBS5XSA5PL3HBYMED7XDRF2WX7

not attested not anchored not stored refs pending

Multigrid methods for saddle point problems: Karush-Kuhn-Tucker systems

Li-yeng Sung, Sijing Liu, Susanne C. Brenner

arxiv:1811.12434 v1 · 2018-11-29 · 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{GBS5XSA5PL3HBYMED7XDRF2WX7}

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	2026-05-17T23:59:31.685867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3065dbc81d7af670e1841fee389756bffce683ddf1393111405f564c705268cc

Aliases

arxiv: 1811.12434 · arxiv_version: 1811.12434v1 · doi: 10.48550/arxiv.1811.12434 · pith_short_12: GBS5XSA5PL3H · pith_short_16: GBS5XSA5PL3HBYME · pith_short_8: GBS5XSA5

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/GBS5XSA5PL3HBYMED7XDRF2WX7 \
  | 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: 3065dbc81d7af670e1841fee389756bffce683ddf1393111405f564c705268cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e919c51bdd9617fc2a635dbf5334dcd56c179a965266e969e34f20214b77b5cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-29T19:09:30Z",
    "title_canon_sha256": "3bd9b73ad316c9d3b5ac7433d99dceccd7bc0737c0f3a4c6cc5c46f137d8c8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12434",
    "kind": "arxiv",
    "version": 1
  }
}