Pith Number

pith:PINGWT3Y

pith:2019:PINGWT3Y74E4P5OUD47XMBAU6Z

not attested not anchored not stored refs pending

The homogenization method for topology optimization of structures: old and new

Gr\'egoire Allaire, Lorenzo Cavallina, Nobuhito Miyake, Tomoyuki Oka, Toshiaki Yachimura

arxiv:1901.09336 v2 · 2019-01-27 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PINGWT3Y74E4P5OUD47XMBAU6Z}

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	2026-05-17T23:43:23.275353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1a6b4f78ff09c7f5d41f3f760414f66da4eb3e5d55fde767c976aef4ed73b6

Aliases

arxiv: 1901.09336 · arxiv_version: 1901.09336v2 · doi: 10.48550/arxiv.1901.09336 · pith_short_12: PINGWT3Y74E4 · pith_short_16: PINGWT3Y74E4P5OU · pith_short_8: PINGWT3Y

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/PINGWT3Y74E4P5OUD47XMBAU6Z \
  | 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: 7a1a6b4f78ff09c7f5d41f3f760414f66da4eb3e5d55fde767c976aef4ed73b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1d74476c8b79c5d4173fc38335682ec2ebcb0ea94ad2f2a7da52f52f36c836",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-27T08:09:10Z",
    "title_canon_sha256": "5dc9af2fd168269c81a3180db08c0ebbb4c99c7d1b86943e56efe195c145e144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09336",
    "kind": "arxiv",
    "version": 2
  }
}