Pith Number

pith:QPSVVDO6

pith:2020:QPSVVDO6NNEXA7FIOGCGQCOMIN

not attested not anchored not stored refs pending

Shape and Topology Optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach

Harald Garcke, Patrik Knopf, Paul H\"uttl

arxiv:2005.13497 v2 · 2020-05-27 · math.OC · 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{QPSVVDO6NNEXA7FIOGCGQCOMIN}

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	2026-07-05T03:21:05.483183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e55a8dde6b49707ca871846809cc4367f1f01625df6da607f55b915927a68e

Aliases

arxiv: 2005.13497 · arxiv_version: 2005.13497v2 · doi: 10.48550/arxiv.2005.13497 · pith_short_12: QPSVVDO6NNEX · pith_short_16: QPSVVDO6NNEXA7FI · pith_short_8: QPSVVDO6

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/QPSVVDO6NNEXA7FIOGCGQCOMIN \
  | 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: 83e55a8dde6b49707ca871846809cc4367f1f01625df6da607f55b915927a68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecd21df9a277ab68d78c37c896d68e6df79e94c9b3d2460f152bf34ca5ebe9b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-05-27T17:09:52Z",
    "title_canon_sha256": "29f56ef0d1da54dd5f1fea683f04e1e0e36aa4aec5322f06818364979f4c9d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13497",
    "kind": "arxiv",
    "version": 2
  }
}