Pith Number

pith:NVDPALPP

pith:2019:NVDPALPPKEWMIKE2CLO37KAFYA

not attested not anchored not stored refs pending

Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Huajun Gong, Jinkai Li, Xian-gao Liu, Xiaotao Zhang

arxiv:1905.07851 v1 · 2019-05-20 · 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{NVDPALPPKEWMIKE2CLO37KAFYA}

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	2026-05-17T23:45:48.343233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d46f02def512cc4289a12ddbfa805c00f0053a6429119f54e025d33cda9981a

Aliases

arxiv: 1905.07851 · arxiv_version: 1905.07851v1 · doi: 10.48550/arxiv.1905.07851 · pith_short_12: NVDPALPPKEWM · pith_short_16: NVDPALPPKEWMIKE2 · pith_short_8: NVDPALPP

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/NVDPALPPKEWMIKE2CLO37KAFYA \
  | 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: 6d46f02def512cc4289a12ddbfa805c00f0053a6429119f54e025d33cda9981a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647c31757cd84e6b494d65a1c616c6023d9dbb85c3fdf23cf1ed86b61ffeb0a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-20T03:01:07Z",
    "title_canon_sha256": "6f62e3cafefa208b27396b1ff8f002ad5ef60b409275a5494ce74b0178df319f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07851",
    "kind": "arxiv",
    "version": 1
  }
}