Pith Number

pith:UB7LUUUE

pith:2019:UB7LUUUEIUCDDS3TN2PLPN34FP

not attested not anchored not stored refs pending

Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity

Boqiang L\"u, Rong Zhang, Xin Zhong

arxiv:1906.03971 v1 · 2019-06-10 · 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{UB7LUUUEIUCDDS3TN2PLPN34FP}

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	2026-07-05T00:31:51.507121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07eba5284450431cb736e9eb7b77c2bf29d53d87a71b7caf44210d0eff7dbac

Aliases

arxiv: 1906.03971 · arxiv_version: 1906.03971v1 · doi: 10.48550/arxiv.1906.03971 · pith_short_12: UB7LUUUEIUCD · pith_short_16: UB7LUUUEIUCDDS3T · pith_short_8: UB7LUUUE

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/UB7LUUUEIUCDDS3TN2PLPN34FP \
  | 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: a07eba5284450431cb736e9eb7b77c2bf29d53d87a71b7caf44210d0eff7dbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523c072c176fb9c29e0d490bbc70abeeaf5285476bdbf4e5099fe9e6c3d23c04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-10T13:38:22Z",
    "title_canon_sha256": "2a95431e503bd7b4de0277e646a3c03d02262f5b40dd2384d74a05c82810052f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03971",
    "kind": "arxiv",
    "version": 1
  }
}