Pith Number

pith:XQZCC6IJ

pith:2013:XQZCC6IJO4O646NN4KYD6OHZOB

not attested not anchored not stored refs pending

Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure

Adam Kubica, Bernard Nowakowski, Wojciech Zaj\c{A}czkowski

arxiv:1302.4629 v1 · 2013-02-19 · 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{XQZCC6IJO4O646NN4KYD6OHZOB}

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	2026-05-18T03:33:12.667293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc32217909771dee79ade2b03f38f9707075ef165b489e53988a8d3fae816b13

Aliases

arxiv: 1302.4629 · arxiv_version: 1302.4629v1 · doi: 10.48550/arxiv.1302.4629 · pith_short_12: XQZCC6IJO4O6 · pith_short_16: XQZCC6IJO4O646NN · pith_short_8: XQZCC6IJ

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/XQZCC6IJO4O646NN4KYD6OHZOB \
  | 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: bc32217909771dee79ade2b03f38f9707075ef165b489e53988a8d3fae816b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24127e19459ef12e7eda31f47b1fcd9a5cdcddaef428e53ecc195461b051371c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-19T14:54:35Z",
    "title_canon_sha256": "8c14a006e73c65679734e588125cbeeffeec0cabdc06083021e15e07e0574860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4629",
    "kind": "arxiv",
    "version": 1
  }
}