Pith Number

pith:NZ4CJLBY

pith:2016:NZ4CJLBYUEEFV3WSF6XBF3NP2K

not attested not anchored not stored refs pending

Global Strong Solution for 3D Viscous Incompressible Heat Conducting Navier-Stokes Flows with Non-negative Density

Xin Zhong

arxiv:1605.05007 v2 · 2016-05-17 · 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{NZ4CJLBYUEEFV3WSF6XBF3NP2K}

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	2026-05-18T00:38:32.160493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7824ac38a1085aeed22fae12edafd296057e0048adde1decf81d1762640b7c

Aliases

arxiv: 1605.05007 · arxiv_version: 1605.05007v2 · doi: 10.48550/arxiv.1605.05007 · pith_short_12: NZ4CJLBYUEEF · pith_short_16: NZ4CJLBYUEEFV3WS · pith_short_8: NZ4CJLBY

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/NZ4CJLBYUEEFV3WSF6XBF3NP2K \
  | 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: 6e7824ac38a1085aeed22fae12edafd296057e0048adde1decf81d1762640b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f30cb8b994c23f630214d682f5e443b153e09fd0ad1dcf03813b1be62454cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-17T03:07:47Z",
    "title_canon_sha256": "e549609b56fe62d32d30bd2ce72f86b08e93cb57efa693e001e711fb428002b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05007",
    "kind": "arxiv",
    "version": 2
  }
}