Pith Number

pith:YQM5UYAD

pith:2019:YQM5UYADBNHLXROWTQ2B7XII5A

not attested not anchored not stored refs pending

Global Existence of Entropy-Weak Solutions to the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities

Alexis Vasseur, Cheng Yu, Didier Bresch

arxiv:1905.02701 v1 · 2019-05-07 · 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{YQM5UYADBNHLXROWTQ2B7XII5A}

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	2026-05-17T23:46:50.680728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c419da60030b4ebbc5d69c341fdd08e82ffae2efafee4357cf0b42ee50c16b2f

Aliases

arxiv: 1905.02701 · arxiv_version: 1905.02701v1 · doi: 10.48550/arxiv.1905.02701 · pith_short_12: YQM5UYADBNHL · pith_short_16: YQM5UYADBNHLXROW · pith_short_8: YQM5UYAD

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/YQM5UYADBNHLXROWTQ2B7XII5A \
  | 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: c419da60030b4ebbc5d69c341fdd08e82ffae2efafee4357cf0b42ee50c16b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec800c2dd0612b90ac81e67a6ad52bca92ee91ded556c5f58472c69ebefe259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-07T17:28:30Z",
    "title_canon_sha256": "6a6c78f5c4aa2a87bd9a13d83135184e5eee9e8ad0427f2c6c9c4001861e5b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02701",
    "kind": "arxiv",
    "version": 1
  }
}