Pith Number

pith:HNK3AQFA

pith:2013:HNK3AQFAYISFUIQIZXDJGMZPNJ

not attested not anchored not stored refs pending

Multi-material phase field approach to structural topology optimization

Christoph Rupprecht, Harald Garcke, Luise Blank, M. Hassan Farshbaf-Shaker, Vanessa Styles

arxiv:1312.2356 v1 · 2013-12-09 · 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{HNK3AQFAYISFUIQIZXDJGMZPNJ}

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	2026-05-18T03:05:10.566625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b55b040a0c2245a2208cdc693332f6a44d38077760398b0c5af105e34147b0f

Aliases

arxiv: 1312.2356 · arxiv_version: 1312.2356v1 · doi: 10.48550/arxiv.1312.2356 · pith_short_12: HNK3AQFAYISF · pith_short_16: HNK3AQFAYISFUIQI · pith_short_8: HNK3AQFA

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/HNK3AQFAYISFUIQIZXDJGMZPNJ \
  | 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: 3b55b040a0c2245a2208cdc693332f6a44d38077760398b0c5af105e34147b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7140338372519ecef70657feb7dd1f4ac895b3b15330aef2af858661c662865c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-09T09:38:39Z",
    "title_canon_sha256": "309f8620396e22d835ea57f645bdd9ba4f4de78dd08f6caf7c4271e34edd1426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2356",
    "kind": "arxiv",
    "version": 1
  }
}