Pith Number

pith:ONLLZMRE

pith:2016:ONLLZMRE4P5GFGTWPYFRGLYFQG

not attested not anchored not stored refs pending

Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MHD equations

Xiaoping Zhai, Zhaoyang Yin

arxiv:1608.02048 v1 · 2016-08-06 · 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{ONLLZMRE4P5GFGTWPYFRGLYFQG}

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	2026-05-18T01:09:41.085892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7356bcb224e3fa629a767e0b132f0581b08edf91f8a46f7141ccd9af39eb1326

Aliases

arxiv: 1608.02048 · arxiv_version: 1608.02048v1 · doi: 10.48550/arxiv.1608.02048 · pith_short_12: ONLLZMRE4P5G · pith_short_16: ONLLZMRE4P5GFGTW · pith_short_8: ONLLZMRE

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/ONLLZMRE4P5GFGTWPYFRGLYFQG \
  | 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: 7356bcb224e3fa629a767e0b132f0581b08edf91f8a46f7141ccd9af39eb1326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff7ad8017c6a3df8d5e8263b0db836cfe812c182b5d7b908b8b98b5d5934834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-06T01:08:29Z",
    "title_canon_sha256": "66d0c20994c5800313b03aab1557a94f8061c7023c2998569fc594c7c559b53d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02048",
    "kind": "arxiv",
    "version": 1
  }
}