Pith Number

pith:DYNUKHJK

pith:2018:DYNUKHJK3WYTPO3MXXUOVM7IVD

not attested not anchored not stored refs pending

On Global Classical Solutions to 1D Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

Boqiang L\"u, Yixuan Wang, Yuhang Wu

arxiv:1808.03042 v1 · 2018-08-09 · 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{DYNUKHJK3WYTPO3MXXUOVM7IVD}

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	2026-05-18T00:08:30.356924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1b451d2addb137bb6cbde8eab3e8a8fde0698053e12dcea320d83756bb2647

Aliases

arxiv: 1808.03042 · arxiv_version: 1808.03042v1 · doi: 10.48550/arxiv.1808.03042 · pith_short_12: DYNUKHJK3WYT · pith_short_16: DYNUKHJK3WYTPO3M · pith_short_8: DYNUKHJK

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/DYNUKHJK3WYTPO3MXXUOVM7IVD \
  | 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: 1e1b451d2addb137bb6cbde8eab3e8a8fde0698053e12dcea320d83756bb2647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768060a3a0da8fe59f232add06634fb587695b707fb9dc4bae41e94b0a5a4f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-09T07:15:36Z",
    "title_canon_sha256": "bca2c53cab5960100f159fb22bebe2be44aec3b81a8861ff7e85f27535bb4a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03042",
    "kind": "arxiv",
    "version": 1
  }
}