Pith Number

pith:55XVHFKV

pith:2017:55XVHFKVKJZH4ET27TGW6H5N2J

not attested not anchored not stored refs pending

A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint

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

arxiv:1702.03855 v2 · 2017-02-13 · 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{55XVHFKVKJZH4ET27TGW6H5N2J}

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	2026-05-17T23:59:26.622192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6f53955552727e127afccd6f1fadd270686087d710d7c9eb8893f6d29890b1

Aliases

arxiv: 1702.03855 · arxiv_version: 1702.03855v2 · doi: 10.48550/arxiv.1702.03855 · pith_short_12: 55XVHFKVKJZH · pith_short_16: 55XVHFKVKJZH4ET2 · pith_short_8: 55XVHFKV

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/55XVHFKVKJZH4ET27TGW6H5N2J \
  | 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: ef6f53955552727e127afccd6f1fadd270686087d710d7c9eb8893f6d29890b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a34c9e597ff9e15d93e795ce5edafee25831f410cbae2d7e2a938fbcfaa510",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-13T16:23:03Z",
    "title_canon_sha256": "92729c4bf9116d880e419c7073995f285ed9b64f10a8523009eb9b3acbacedac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03855",
    "kind": "arxiv",
    "version": 2
  }
}