Pith Number

pith:5376JWLB

pith:2010:5376JWLBTCNEJFW3YNVPZLGHHQ

not attested not anchored not stored refs pending

Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Ching-Lung Lin, Gunther Uhlmann, Jenn-Nan Wang

arxiv:1008.3953 v1 · 2010-08-24 · 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{5376JWLBTCNEJFW3YNVPZLGHHQ}

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	2026-05-18T04:41:54.436785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeffe4d961989a4496dbc36afcacc73c341ab03091033491c759c219ca3dabb5

Aliases

arxiv: 1008.3953 · arxiv_version: 1008.3953v1 · doi: 10.48550/arxiv.1008.3953 · pith_short_12: 5376JWLBTCNE · pith_short_16: 5376JWLBTCNEJFW3 · pith_short_8: 5376JWLB

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/5376JWLBTCNEJFW3YNVPZLGHHQ \
  | 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: eeffe4d961989a4496dbc36afcacc73c341ab03091033491c759c219ca3dabb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0f2a1e4c2305e2af3203fcb6aa47dbaefa1944a7cb8bc63e2bec68f961c31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-24T03:06:38Z",
    "title_canon_sha256": "66c8eab8be452efc6fe1d9fc7840a4488c37dec9735509690cdaae9dc15df545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3953",
    "kind": "arxiv",
    "version": 1
  }
}