Pith Number

pith:HQKK6LSL

pith:2026:HQKK6LSL5ZGEASAWVOLGJMN7PI

not attested not anchored not stored refs pending

$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids

Alejandro M. Arag\'on, Majd Kosta, Shangru Liu

arxiv:2607.23525 v1 · 2026-07-26 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQKK6LSL5ZGEASAWVOLGJMN7PI}

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	2026-07-28T01:22:57.644529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c14af2e4bee4c404816ab9664b1bf7a3f312bd20fd60a40d60dd4f5c12da3ae

Aliases

arxiv: 2607.23525 · arxiv_version: 2607.23525v1 · doi: 10.48550/arxiv.2607.23525 · pith_short_12: HQKK6LSL5ZGE · pith_short_16: HQKK6LSL5ZGEASAW · pith_short_8: HQKK6LSL

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/HQKK6LSL5ZGEASAWVOLGJMN7PI \
  | 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: 3c14af2e4bee4c404816ab9664b1bf7a3f312bd20fd60a40d60dd4f5c12da3ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881a4fff162376adc5fa5444f519f670fd107bbadb5fd48485a8faeb79bda1d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-07-26T07:49:10Z",
    "title_canon_sha256": "cf109719bdab9167d77da78cdbeef9fd0f13ec5f3947f42670fb2cc8a85ec79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23525",
    "kind": "arxiv",
    "version": 1
  }
}