Pith Number

pith:4IHCAKKD

pith:2018:4IHCAKKDSVSXMP5QWKBYL2ATM2

not attested not anchored not stored refs pending

Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability

Liutang Xue, Piotr B. Mucha, Xiaoxin Zheng

arxiv:1803.06056 v2 · 2018-03-16 · 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{4IHCAKKDSVSXMP5QWKBYL2ATM2}

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	2026-05-17T23:55:29.534980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20e2029439565763fb0b28385e813668487a1a506c37e85455c1b2e73ad6d37

Aliases

arxiv: 1803.06056 · arxiv_version: 1803.06056v2 · doi: 10.48550/arxiv.1803.06056 · pith_short_12: 4IHCAKKDSVSX · pith_short_16: 4IHCAKKDSVSXMP5Q · pith_short_8: 4IHCAKKD

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/4IHCAKKDSVSXMP5QWKBYL2ATM2 \
  | 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: e20e2029439565763fb0b28385e813668487a1a506c37e85455c1b2e73ad6d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1f29a69de47c9288651254068171b93cac6cd5bda5d0a02e0e9f7814302918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-16T02:17:59Z",
    "title_canon_sha256": "d69c7565e53ca3f786a7994a7ba440c1de986c6ab5ea4c75f96d0aa3eee087b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06056",
    "kind": "arxiv",
    "version": 2
  }
}