Pith Number

pith:PZ6Y4PKH

pith:2019:PZ6Y4PKH66EGSEWXG35MTAAN72

not attested not anchored not stored refs pending

Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary

A. Petrov, E. Feireisl, I. S. Ciuperca, M. Jai

arxiv:1902.10413 v1 · 2019-02-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ6Y4PKH66EGSEWXG35MTAAN72}

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	2026-05-17T23:52:30.912419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7d8e3d47f7886912d736fac9800dfebc6ae4ee1e56f1e8796b9daeee6198b5

Aliases

arxiv: 1902.10413 · arxiv_version: 1902.10413v1 · doi: 10.48550/arxiv.1902.10413 · pith_short_12: PZ6Y4PKH66EG · pith_short_16: PZ6Y4PKH66EGSEWX · pith_short_8: PZ6Y4PKH

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/PZ6Y4PKH66EGSEWXG35MTAAN72 \
  | 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: 7e7d8e3d47f7886912d736fac9800dfebc6ae4ee1e56f1e8796b9daeee6198b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d540b7d9156d10748f963f5ef7ca9f48069fc12e0443d3eaf71a5a05a7ba5b93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-27T09:49:20Z",
    "title_canon_sha256": "fd41367171bf995776163a5790e20f934a43285c18e6a6d5f50ac3645671a21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10413",
    "kind": "arxiv",
    "version": 1
  }
}