Pith Number

pith:PNI7LDOT

pith:2011:PNI7LDOTZNS3WMNWSCXT2JP7BV

not attested not anchored not stored refs pending

Random-data Cauchy Problem for the Periodic Navier-Stokes Equations with Initial Data in Negative-order Sobolev Spaces

Chao Deng, Shangbin Cui

arxiv:1103.6170 v1 · 2011-03-31 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNI7LDOTZNS3WMNWSCXT2JP7BV}

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	2026-05-18T04:25:13.838329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b51f58dd3cb65bb31b690af3d25ff0d4143542b6f68bfdef5b72ed0f9455072

Aliases

arxiv: 1103.6170 · arxiv_version: 1103.6170v1 · doi: 10.48550/arxiv.1103.6170 · pith_short_12: PNI7LDOTZNS3 · pith_short_16: PNI7LDOTZNS3WMNW · pith_short_8: PNI7LDOT

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/PNI7LDOTZNS3WMNWSCXT2JP7BV \
  | 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: 7b51f58dd3cb65bb31b690af3d25ff0d4143542b6f68bfdef5b72ed0f9455072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79bca4c0bb78e1aee9412e0f1e3be660fbd610085dee32030fa75becf9e8080",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-31T13:18:04Z",
    "title_canon_sha256": "02a202b4ff0a14e5a7a2c52bf0584f12ad3dbb37a336892e6e7450216ab05fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6170",
    "kind": "arxiv",
    "version": 1
  }
}