Pith Number

pith:ENZKWODL

pith:2016:ENZKWODLLBXQ7VJQEKQXPXURPL

not attested not anchored not stored refs pending

Global well-posedness for the full compressible Navier-Stokes equations

Jinlu Li, Xiaoping Zhai, Zhaoyang Yin

arxiv:1604.05446 v1 · 2016-04-19 · 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{ENZKWODLLBXQ7VJQEKQXPXURPL}

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	2026-05-18T01:16:53.927964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2372ab386b586f0fd53022a177de917aee3f6c8a79bb90ba15c9de788d535022

Aliases

arxiv: 1604.05446 · arxiv_version: 1604.05446v1 · doi: 10.48550/arxiv.1604.05446 · pith_short_12: ENZKWODLLBXQ · pith_short_16: ENZKWODLLBXQ7VJQ · pith_short_8: ENZKWODL

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/ENZKWODLLBXQ7VJQEKQXPXURPL \
  | 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: 2372ab386b586f0fd53022a177de917aee3f6c8a79bb90ba15c9de788d535022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31aee673744d0cde08ed790d81cae5e0e425c89429a15becf864f0a2d7954f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-19T07:01:00Z",
    "title_canon_sha256": "a2161fb923461f797f2d51d8b8597b7ad58f0c95295eefc308d72c0729c00999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05446",
    "kind": "arxiv",
    "version": 1
  }
}