Pith Number

pith:4W6XE345

pith:2018:4W6XE345RMWW4ED7IJKLOMEIAW

not attested not anchored not stored refs pending

Vorticity and helicity decompositions and dynamics with real Schur form of the velocity gradient

Jian-Zhou Zhu

arxiv:1801.07652 v4 · 2018-01-22 · physics.flu-dyn · nlin.CD · physics.geo-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W6XE345RMWW4ED7IJKLOMEIAW}

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	2026-05-18T00:18:11.516549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bd726f9d8b2d6e107f4254b7308805800191c9d274fe04c55cde7e4021ff7f

Aliases

arxiv: 1801.07652 · arxiv_version: 1801.07652v4 · doi: 10.48550/arxiv.1801.07652 · pith_short_12: 4W6XE345RMWW · pith_short_16: 4W6XE345RMWW4ED7 · pith_short_8: 4W6XE345

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/4W6XE345RMWW4ED7IJKLOMEIAW \
  | 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: e5bd726f9d8b2d6e107f4254b7308805800191c9d274fe04c55cde7e4021ff7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a9dd935cd1176d8c0c1d52cb2a30ee51dac571234f59646654bc27066e0ac1",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-01-22T13:15:23Z",
    "title_canon_sha256": "8d54ee98364f8fd1c404287f939090f1d586e259d511f1ceb116c29d86943233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07652",
    "kind": "arxiv",
    "version": 4
  }
}