Pith Number

pith:2YWRFIDX

pith:2016:2YWRFIDXVQDOZ4NW7EWDRGXUS3

not attested not anchored not stored refs pending

On Liouville type theorems for the steady Navier-Stokes equations in $\Bbb R^3$

Dongho Chae, Joerg Wolf

arxiv:1604.07643 v1 · 2016-04-26 · 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{2YWRFIDXVQDOZ4NW7EWDRGXUS3}

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	2026-05-18T01:16:12.440546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d62d12a077ac06ecf1b6f92c389af496d5cbc9981bb079bd7dd3a3937b6145a3

Aliases

arxiv: 1604.07643 · arxiv_version: 1604.07643v1 · doi: 10.48550/arxiv.1604.07643 · pith_short_12: 2YWRFIDXVQDO · pith_short_16: 2YWRFIDXVQDOZ4NW · pith_short_8: 2YWRFIDX

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/2YWRFIDXVQDOZ4NW7EWDRGXUS3 \
  | 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: d62d12a077ac06ecf1b6f92c389af496d5cbc9981bb079bd7dd3a3937b6145a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0bc8ccd5de67d434f7b1c7409b32ccc95e14ca2a3ff737c9bf30c8d2bca5d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-26T12:15:13Z",
    "title_canon_sha256": "7e1c608b231b6d02e82163227b35fd5d056146b5611d288ee717476c89af7cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07643",
    "kind": "arxiv",
    "version": 1
  }
}