Pith Number

pith:KQJJVVVH

pith:2013:KQJJVVVHGZM4OUT453VFQBEEXR

not attested not anchored not stored refs pending

Classical and strong convexity of sublevel sets and application to attainable sets of nonlinear systems

Alexander Weber, Gunther Reissig

arxiv:1311.4989 v2 · 2013-11-20 · 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{KQJJVVVHGZM4OUT453VFQBEEXR}

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	2026-05-18T00:53:40.864966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54129ad6a73659c7527ceeea580484bc6a0add07be1ce2404f5cfd96b403f655

Aliases

arxiv: 1311.4989 · arxiv_version: 1311.4989v2 · doi: 10.48550/arxiv.1311.4989 · pith_short_12: KQJJVVVHGZM4 · pith_short_16: KQJJVVVHGZM4OUT4 · pith_short_8: KQJJVVVH

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/KQJJVVVHGZM4OUT453VFQBEEXR \
  | 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: 54129ad6a73659c7527ceeea580484bc6a0add07be1ce2404f5cfd96b403f655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde8813ccb681814672509e3d499ca3ba917ee9a9feea4463896f6bb7bfca989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-20T09:37:29Z",
    "title_canon_sha256": "14e7397763ee347aef7f4b6318f06bbff072289a8f272d5e6bfbcbf3a53eb0f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4989",
    "kind": "arxiv",
    "version": 2
  }
}