Pith Number

pith:PEKNFZ57

pith:2009:PEKNFZ57YHN2RXF27DO7CTEAP5

not attested not anchored not stored refs pending

On the global well-posedness of a class of Boussinesq- Navier-Stokes systems

Changxing Miao, Liutang Xue

arxiv:0910.0311 v1 · 2009-10-02 · 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{PEKNFZ57YHN2RXF27DO7CTEAP5}

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	2026-05-18T04:06:08.260434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7914d2e7bfc1dba8dcbaf8ddf14c807f65538b6f6959ae4ad6f5fdfd2ea4b08e

Aliases

arxiv: 0910.0311 · arxiv_version: 0910.0311v1 · doi: 10.48550/arxiv.0910.0311 · pith_short_12: PEKNFZ57YHN2 · pith_short_16: PEKNFZ57YHN2RXF2 · pith_short_8: PEKNFZ57

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/PEKNFZ57YHN2RXF27DO7CTEAP5 \
  | 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: 7914d2e7bfc1dba8dcbaf8ddf14c807f65538b6f6959ae4ad6f5fdfd2ea4b08e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b7cfe01ce458eb3c36376e36ea7b7a8cf999963ffa4f13c33408e07ff2e37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-02T02:37:43Z",
    "title_canon_sha256": "008881d6b8f1ee10483fdfcd7738418e20c520384b54aa9bc018356e5ede8f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0311",
    "kind": "arxiv",
    "version": 1
  }
}