Pith Number

pith:QXQ6RPIO

pith:2018:QXQ6RPIOZYGBNALKRABZPANVV2

not attested not anchored not stored refs pending

Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain

Alexandre Munnier, Julien Lequeurre

arxiv:1810.04222 v4 · 2018-10-09 · 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{QXQ6RPIOZYGBNALKRABZPANVV2}

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	2026-05-17T23:58:30.354410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e1e8bd0ece0c16816a88039781b5aea0a01fc080ff6b25b5bc646c10397305

Aliases

arxiv: 1810.04222 · arxiv_version: 1810.04222v4 · doi: 10.48550/arxiv.1810.04222 · pith_short_12: QXQ6RPIOZYGB · pith_short_16: QXQ6RPIOZYGBNALK · pith_short_8: QXQ6RPIO

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/QXQ6RPIOZYGBNALKRABZPANVV2 \
  | 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: 85e1e8bd0ece0c16816a88039781b5aea0a01fc080ff6b25b5bc646c10397305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14739bc007c760b2d5ee2b258e7401e50a5081fad3eeeed87dbc0a39460a9ddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-09T19:23:10Z",
    "title_canon_sha256": "66cf2cbef8220acb96b8c1f9d56f2dd8372486835151754a1046473be23b047c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04222",
    "kind": "arxiv",
    "version": 4
  }
}