Pith Number

pith:ZFQ2HHEG

pith:2014:ZFQ2HHEGHWPDDAXGCV5UAL5HKV

not attested not anchored not stored refs pending

Numerical approximation of phase field based shape and topology optimization for fluids

Christian Kahle, Claudia Hecht, Harald Garcke, Michael Hinze

arxiv:1405.3480 v1 · 2014-05-14 · 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{ZFQ2HHEGHWPDDAXGCV5UAL5HKV}

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	2026-05-18T02:51:50.697905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c961a39c863d9e3182e6157b402fa7557bcaa64e37fa5f56d5eb28f0199dc53c

Aliases

arxiv: 1405.3480 · arxiv_version: 1405.3480v1 · doi: 10.48550/arxiv.1405.3480 · pith_short_12: ZFQ2HHEGHWPD · pith_short_16: ZFQ2HHEGHWPDDAXG · pith_short_8: ZFQ2HHEG

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/ZFQ2HHEGHWPDDAXGCV5UAL5HKV \
  | 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: c961a39c863d9e3182e6157b402fa7557bcaa64e37fa5f56d5eb28f0199dc53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09cc6eac4a87a15966d98c1642523458768b1d6bad33e7b01cd0439e4796738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-05-14T13:08:08Z",
    "title_canon_sha256": "5632561a7c774eb17af7d9916f4626b8e211029671ddbaee646d72763ab3c51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3480",
    "kind": "arxiv",
    "version": 1
  }
}