Pith Number

pith:U24FWWWP

pith:2019:U24FWWWPVGNDGQC2SBOJCUKDVT

not attested not anchored not stored refs pending

Global large solution to the compressible Navier-Stokes equations in critical Besov space $\dot{B}^{-1}_{\infty,\infty}$

Jinlu Li, Weipeng Zhu, Yanghai Yu, Zhaoyang Yin

arxiv:1903.09764 v1 · 2019-03-23 · 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{U24FWWWPVGNDGQC2SBOJCUKDVT}

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	2026-05-17T23:50:35.567256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b85b5acfa99a33405a905c915143acc418fd1d91092dca1f78e3a7dbe80480

Aliases

arxiv: 1903.09764 · arxiv_version: 1903.09764v1 · doi: 10.48550/arxiv.1903.09764 · pith_short_12: U24FWWWPVGND · pith_short_16: U24FWWWPVGNDGQC2 · pith_short_8: U24FWWWP

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/U24FWWWPVGNDGQC2SBOJCUKDVT \
  | 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: a6b85b5acfa99a33405a905c915143acc418fd1d91092dca1f78e3a7dbe80480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d7edeef1917b66689f406063dfd6f0d829cb1775c5f93f0c5e5ca0ff4a973e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-23T05:14:59Z",
    "title_canon_sha256": "d73e074c8e0ab3ffffc987a71882caec14067d3f0d4203a5514d570c7fda753a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09764",
    "kind": "arxiv",
    "version": 1
  }
}