Pith Number

pith:LKWNSODR

pith:2026:LKWNSODRSKXA3CADWQ23EF67B4

not attested not anchored not stored refs pending

Combining diffuse and sharp interface methods in shape optimisation

Christian Kahle, Michael Hinze, Philip J. Herbert

arxiv:2606.05963 v1 · 2026-06-04 · 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{LKWNSODRSKXA3CADWQ23EF67B4}

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	2026-06-05T01:15:28.916181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aacd9387192ae0d8803b435b217df0f3dbce3f1194283d581a9593e290b4c44

Aliases

arxiv: 2606.05963 · arxiv_version: 2606.05963v1 · doi: 10.48550/arxiv.2606.05963 · pith_short_12: LKWNSODRSKXA · pith_short_16: LKWNSODRSKXA3CAD · pith_short_8: LKWNSODR

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/LKWNSODRSKXA3CADWQ23EF67B4 \
  | 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: 5aacd9387192ae0d8803b435b217df0f3dbce3f1194283d581a9593e290b4c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef4c56418242852f4be82eae3ce140ed546f1c3a720af7ac100cfc89dd90ede",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-04T10:03:01Z",
    "title_canon_sha256": "11e48f73b0706534f40364b71ca91cb749fffe69c0b1a008a56fa8590fb2ed31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05963",
    "kind": "arxiv",
    "version": 1
  }
}