Pith Number

pith:AOVL76RI

pith:2018:AOVL76RIUBQKWV2LX5V3HQLF4K

not attested not anchored not stored refs pending

Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes Equations with degenerate viscosities and vacuum

Shengguo Zhu, Zhouping Xin

arxiv:1806.02383 v2 · 2018-06-06 · 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{AOVL76RIUBQKWV2LX5V3HQLF4K}

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	2026-05-17T23:49:11.680410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03aabffa28a060ab574bbf6bb3c165e285487f9e0415099dfb6510c6963d59ac

Aliases

arxiv: 1806.02383 · arxiv_version: 1806.02383v2 · doi: 10.48550/arxiv.1806.02383 · pith_short_12: AOVL76RIUBQK · pith_short_16: AOVL76RIUBQKWV2L · pith_short_8: AOVL76RI

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/AOVL76RIUBQKWV2LX5V3HQLF4K \
  | 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: 03aabffa28a060ab574bbf6bb3c165e285487f9e0415099dfb6510c6963d59ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ecb5526239685abe9b7ca70e0193f5ae152c9f68d2f0e4df080e6ee07f60dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-06T18:53:41Z",
    "title_canon_sha256": "76975b2db2ee0e7e590f4fbbec6040ca7560915fc604d9c934b505d66c8fbeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02383",
    "kind": "arxiv",
    "version": 2
  }
}