Pith Number

pith:54SU3XX4

pith:2013:54SU3XX4KC6GVVSCFWCEAMVOFT

not attested not anchored not stored refs pending

A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion

Pen-Yuan Hsu, Yasunori Maekawa, Yoshikazu Giga

arxiv:1310.6471 v1 · 2013-10-24 · 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{54SU3XX4KC6GVVSCFWCEAMVOFT}

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	2026-05-18T03:09:10.024743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef254ddefc50bc6ad6422d844032ae2ce5bef33f245a90ad2c1a75c8713d2e86

Aliases

arxiv: 1310.6471 · arxiv_version: 1310.6471v1 · doi: 10.48550/arxiv.1310.6471 · pith_short_12: 54SU3XX4KC6G · pith_short_16: 54SU3XX4KC6GVVSC · pith_short_8: 54SU3XX4

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/54SU3XX4KC6GVVSCFWCEAMVOFT \
  | 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: ef254ddefc50bc6ad6422d844032ae2ce5bef33f245a90ad2c1a75c8713d2e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d83d585dadf8642fa39b02e21cb7934a70bb6aa455468d99261ae64d41f8b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-24T03:19:59Z",
    "title_canon_sha256": "e550b144093c12ce8c918a60f2b07e8467db4f4e829ea18164141a7e4527f21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6471",
    "kind": "arxiv",
    "version": 1
  }
}