Pith Number

pith:Z6BRIZWS

pith:2020:Z6BRIZWSFCNBHMVNYAF37CA6GE

not attested not anchored not stored refs pending

Lagrangian-Eulerian Multi-Density Topology Optimization with the Material Point Method

Bo Zhu, Chenfanfu Jiang, Minchen Li, Xuan Li, Yixin Zhu, Yue Li

arxiv:2003.01215 v4 · 2020-03-02 · physics.comp-ph · cs.CE · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6BRIZWSFCNBHMVNYAF37CA6GE}

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	2026-07-05T02:31:17.444202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf831466d2289a13b2adc00bbf881e312cd4905be31a626dae2891ba57d095be

Aliases

arxiv: 2003.01215 · arxiv_version: 2003.01215v4 · doi: 10.48550/arxiv.2003.01215 · pith_short_12: Z6BRIZWSFCNB · pith_short_16: Z6BRIZWSFCNBHMVN · pith_short_8: Z6BRIZWS

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/Z6BRIZWSFCNBHMVNYAF37CA6GE \
  | 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: cf831466d2289a13b2adc00bbf881e312cd4905be31a626dae2891ba57d095be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aef40ce98ec73b4e1075d7ed1e69b3f1a889672910dc526ef36f4a43d9cf9f6",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-03-02T22:05:45Z",
    "title_canon_sha256": "798b94906bb9c54f06685bdc6aac26fb737d6bfc63faf40904c44a96124f7414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01215",
    "kind": "arxiv",
    "version": 4
  }
}