Pith Number

pith:VWHUQ2HG

pith:2012:VWHUQ2HG4JMD5XTE3Q24H6ELLK

not attested not anchored not stored refs pending

Efficient Computation of Spectral Bounds for Hessian Matrices on Hyperrectangles for Global Optimization

Martin Kastsian, Martin M\"onnigmann, Moritz Schulze Darup, Stefan Mross

arxiv:1206.0196 v1 · 2012-06-01 · 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{VWHUQ2HG4JMD5XTE3Q24H6ELLK}

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	2026-05-18T03:14:08.754186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8f4868e6e2583ede64dc35c3f88b5ab9c692ede2e4d8a4f3c1ac76ab984fac

Aliases

arxiv: 1206.0196 · arxiv_version: 1206.0196v1 · doi: 10.48550/arxiv.1206.0196 · pith_short_12: VWHUQ2HG4JMD · pith_short_16: VWHUQ2HG4JMD5XTE · pith_short_8: VWHUQ2HG

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/VWHUQ2HG4JMD5XTE3Q24H6ELLK \
  | 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: ad8f4868e6e2583ede64dc35c3f88b5ab9c692ede2e4d8a4f3c1ac76ab984fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770cb5292b300aea0674dd8e2569ce790dbfe7df29d7e99b29c92768a9570665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-01T14:28:15Z",
    "title_canon_sha256": "d2582c0d58cf2bf9065cc1bba94f63de9406180c9795a1728132d5f5a44c5ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0196",
    "kind": "arxiv",
    "version": 1
  }
}