Pith Number

pith:U2ZJTHBA

pith:2015:U2ZJTHBAHA5LRAER6IA3CV3X55

not attested not anchored not stored refs pending

A rigorous justification of the Euler and Navier-Stokes equations with geometric effects

Antonin Novotny, Eduard Feireisl, Marta Lewicka, Peter Bella

arxiv:1511.06136 v1 · 2015-11-19 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2ZJTHBAHA5LRAER6IA3CV3X55}

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	2026-05-18T01:26:26.203013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b2999c20383ab88091f201b15777ef5af369a263ed598eee333e62534c6082

Aliases

arxiv: 1511.06136 · arxiv_version: 1511.06136v1 · doi: 10.48550/arxiv.1511.06136 · pith_short_12: U2ZJTHBAHA5L · pith_short_16: U2ZJTHBAHA5LRAER · pith_short_8: U2ZJTHBA

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/U2ZJTHBAHA5LRAER6IA3CV3X55 \
  | 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: a6b2999c20383ab88091f201b15777ef5af369a263ed598eee333e62534c6082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a123d4bea45fb99a4a5007789a5d09347ef7121e4c3b5c3d8025db04ced8777",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-19T12:31:44Z",
    "title_canon_sha256": "b822e70a368ae1361c01b4ceee6ed0a2d8175da55dc968da87adc420cde4e8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06136",
    "kind": "arxiv",
    "version": 1
  }
}