Pith Number

pith:GKUQOHWY

pith:2012:GKUQOHWYJ5WVBSTHKKQS5KD4YA

not attested not anchored not stored refs pending

Subdifferential Test for Optimality

Florence Jules, Marc Lassonde

arxiv:1212.0532 v2 · 2012-12-03 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKUQOHWYJ5WVBSTHKKQS5KD4YA}

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	2026-05-18T03:01:25.405665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a9071ed84f6d50ca6752a12ea87cc03623d14f1a4702f4c03afde847814f17

Aliases

arxiv: 1212.0532 · arxiv_version: 1212.0532v2 · doi: 10.48550/arxiv.1212.0532 · pith_short_12: GKUQOHWYJ5WV · pith_short_16: GKUQOHWYJ5WVBSTH · pith_short_8: GKUQOHWY

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/GKUQOHWYJ5WVBSTHKKQS5KD4YA \
  | 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: 32a9071ed84f6d50ca6752a12ea87cc03623d14f1a4702f4c03afde847814f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2260d14a0bb8fa4a01013aadfc18181183536f8ce6b3cdc5eb423958f5575a1e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-03T20:38:42Z",
    "title_canon_sha256": "7b2ec7a2bbd46f9ee05a4ef1c5eaec0700490432b784c2d296831e6ff9f8e067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0532",
    "kind": "arxiv",
    "version": 2
  }
}