Pith Number

pith:WSIXNE4V

pith:2016:WSIXNE4V7LRPNIIAVYBJQWDWKK

not attested not anchored not stored refs pending

Stochastic Sampling for Structural Topology Optimization with Many Load Cases: Density-Based and Ground Structure Approaches

Eric de Sturler, Glaucio H. Paulino, Xiaojia Zhang

arxiv:1609.03099 v1 · 2016-09-10 · 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{WSIXNE4V7LRPNIIAVYBJQWDWKK}

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	2026-05-18T00:33:23.006840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b491769395fae2f6a100ae029858765292048f6e2da7a08d997c018a0ac48bad

Aliases

arxiv: 1609.03099 · arxiv_version: 1609.03099v1 · doi: 10.48550/arxiv.1609.03099 · pith_short_12: WSIXNE4V7LRP · pith_short_16: WSIXNE4V7LRPNIIA · pith_short_8: WSIXNE4V

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/WSIXNE4V7LRPNIIAVYBJQWDWKK \
  | 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: b491769395fae2f6a100ae029858765292048f6e2da7a08d997c018a0ac48bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a784526a51e561a722d733adef5117fb84285fac9c9b6f981ecbc7bf23d1eb84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-10T23:48:14Z",
    "title_canon_sha256": "9a0bff3ccba3057bfe433cf45b76ba65db2493c514ea197e89e063a157f0d5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03099",
    "kind": "arxiv",
    "version": 1
  }
}