Pith Number

pith:VX6SXZPI

pith:2015:VX6SXZPI2PDPZBYU7FPUVCWANN

not attested not anchored not stored refs pending

Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach

Christian Kahle, Claudia Hecht, Harald Garcke, Kei Fong Lam, Michael Hinze

arxiv:1504.06402 v1 · 2015-04-24 · 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{VX6SXZPI2PDPZBYU7FPUVCWANN}

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	2026-05-18T02:17:53.750206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfd2be5e8d3c6fc8714f95f4a8ac06b7b1e275463c57a819c525f04345ded45

Aliases

arxiv: 1504.06402 · arxiv_version: 1504.06402v1 · doi: 10.48550/arxiv.1504.06402 · pith_short_12: VX6SXZPI2PDP · pith_short_16: VX6SXZPI2PDPZBYU · pith_short_8: VX6SXZPI

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/VX6SXZPI2PDPZBYU7FPUVCWANN \
  | 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: adfd2be5e8d3c6fc8714f95f4a8ac06b7b1e275463c57a819c525f04345ded45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588e19df8f4ba9c0b49959a9dcd3c8356063ded6b83f70c4472a1a9035c24dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-24T06:17:45Z",
    "title_canon_sha256": "353dc6ad0bf73a8416516ca8b6e05de2862ae819c4059ed0c79a995762b6e524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06402",
    "kind": "arxiv",
    "version": 1
  }
}