Pith Number

pith:PRQJE4DZ

pith:2013:PRQJE4DZ2T4OH4OVZKADC526ME

not attested not anchored not stored refs pending

Global weak solutions to the inhomogeneous Navier-Stokes-Vlasov equations

Cheng Yu, Dehua Wang

arxiv:1303.6922 v2 · 2013-03-27 · 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{PRQJE4DZ2T4OH4OVZKADC526ME}

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	2026-05-18T03:27:44.408401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c60927079d4f8e3f1d5ca8031775e61307de8e417c98d17c335337c479c3729

Aliases

arxiv: 1303.6922 · arxiv_version: 1303.6922v2 · doi: 10.48550/arxiv.1303.6922 · pith_short_12: PRQJE4DZ2T4O · pith_short_16: PRQJE4DZ2T4OH4OV · pith_short_8: PRQJE4DZ

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/PRQJE4DZ2T4OH4OVZKADC526ME \
  | 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: 7c60927079d4f8e3f1d5ca8031775e61307de8e417c98d17c335337c479c3729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2989462273de642143f7ddc8ac8e7ec1a2720addb07881b947f29a9dddded744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-27T18:32:20Z",
    "title_canon_sha256": "bd20032deaedd432835c3d05adbec0ff2ba9155d879840972ecd5154e3deff84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6922",
    "kind": "arxiv",
    "version": 2
  }
}