Pith Number

pith:5KWOGXAA

pith:2019:5KWOGXAARJNGSYSZ276O3YZOJE

not attested not anchored not stored refs pending

Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition

Kazuyuki Tsuda, Kobayashi Takayuki

arxiv:1905.03542 v1 · 2019-05-09 · 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{5KWOGXAARJNGSYSZ276O3YZOJE}

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	2026-05-17T23:46:37.510770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaace35c008a5a696259d7fcede32e4906fe696bea98bde3768554d7136945f2

Aliases

arxiv: 1905.03542 · arxiv_version: 1905.03542v1 · doi: 10.48550/arxiv.1905.03542 · pith_short_12: 5KWOGXAARJNG · pith_short_16: 5KWOGXAARJNGSYSZ · pith_short_8: 5KWOGXAA

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/5KWOGXAARJNGSYSZ276O3YZOJE \
  | 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: eaace35c008a5a696259d7fcede32e4906fe696bea98bde3768554d7136945f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125254cae42b5dc8333ac27add2eb151cb1d6a958907e19269dc4668be4f2f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-09T11:35:29Z",
    "title_canon_sha256": "1bfa0174e5aba1f0950b41f75a74ac712598af2c9f6e1bf10dab17788b91df46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03542",
    "kind": "arxiv",
    "version": 1
  }
}