Pith Number

pith:SNQMRNVV

pith:2011:SNQMRNVVCUB4P75S575GYYRITM

not attested not anchored not stored refs pending

Global spherically symmetric classical solution to compressible Navier-Stokes equations with large initial data and vacuum

Changjiang Zhu, Huanyao Wen, Lei Yao, Shijin Ding

arxiv:1103.1429 v3 · 2011-03-08 · 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{SNQMRNVVCUB4P75S575GYYRITM}

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	2026-05-18T03:56:45.208712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9360c8b6b51503c7ffb2effa6c62289b2531ee28e753afc7dad355e93e3541fa

Aliases

arxiv: 1103.1429 · arxiv_version: 1103.1429v3 · doi: 10.48550/arxiv.1103.1429 · pith_short_12: SNQMRNVVCUB4 · pith_short_16: SNQMRNVVCUB4P75S · pith_short_8: SNQMRNVV

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/SNQMRNVVCUB4P75S575GYYRITM \
  | 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: 9360c8b6b51503c7ffb2effa6c62289b2531ee28e753afc7dad355e93e3541fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71b941393a9c7116f3a612e9200abeba5eb7de03f30d6292d7f81a051090627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-08T03:54:40Z",
    "title_canon_sha256": "4588f22c42eac6e1041750097c9c237966c6e17e4368816e924b3de71f8e0f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1429",
    "kind": "arxiv",
    "version": 3
  }
}