Pith Number

pith:K2CBK5ZK

pith:2016:K2CBK5ZKAX6D3PKQKXGRZQQJMP

not attested not anchored not stored refs pending

Stochastic Dominance Constraints in Elastic Shape Optimization

Martin Rumpf, R\"udiger Schultz, Sascha T\"olkes, Sergio Conti

arxiv:1606.09461 v1 · 2016-06-30 · 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{K2CBK5ZKAX6D3PKQKXGRZQQJMP}

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	2026-05-18T01:11:40.426479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568415772a05fc3dbd5055cd1cc20963e37c105af84fb03aed95b7857b6f28ef

Aliases

arxiv: 1606.09461 · arxiv_version: 1606.09461v1 · doi: 10.48550/arxiv.1606.09461 · pith_short_12: K2CBK5ZKAX6D · pith_short_16: K2CBK5ZKAX6D3PKQ · pith_short_8: K2CBK5ZK

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/K2CBK5ZKAX6D3PKQKXGRZQQJMP \
  | 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: 568415772a05fc3dbd5055cd1cc20963e37c105af84fb03aed95b7857b6f28ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b9c0cd9ecd329a94127bfd65d0616efac2a194861b7bb4c8a560477b64a115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-30T12:28:15Z",
    "title_canon_sha256": "30bba1940bafec070e85892c72b6480c5382d82227613c894ac2314b15d2c87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09461",
    "kind": "arxiv",
    "version": 1
  }
}