Pith Number

pith:ZPDZ44JW

pith:2011:ZPDZ44JW42JDZ5DVKKHNJQNHBV

not attested not anchored not stored refs pending

Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems

B. S. Mordukhovich, J. Parra, M. A. L\'Opez, M. J. C\'Anovas

arxiv:1102.2032 v1 · 2011-02-10 · 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{ZPDZ44JW42JDZ5DVKKHNJQNHBV}

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	2026-05-18T04:29:34.423392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc79e7136e6923cf475528ed4c1a70d6eea89137a0b333b03f3a19b7be2e473

Aliases

arxiv: 1102.2032 · arxiv_version: 1102.2032v1 · doi: 10.48550/arxiv.1102.2032 · pith_short_12: ZPDZ44JW42JD · pith_short_16: ZPDZ44JW42JDZ5DV · pith_short_8: ZPDZ44JW

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/ZPDZ44JW42JDZ5DVKKHNJQNHBV \
  | 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: cbc79e7136e6923cf475528ed4c1a70d6eea89137a0b333b03f3a19b7be2e473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee513d34a9de1eb3fadae2809bc356c87931f17e36dd14bf7eadae9629c1dbba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-10T04:01:50Z",
    "title_canon_sha256": "297090e8344ea9aaf9df7c0ddd803439722814d4c57a92c3249613ad59030baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2032",
    "kind": "arxiv",
    "version": 1
  }
}