Pith Number

pith:Z4WRVU2Z

pith:2023:Z4WRVU2ZW2WKAYT56AX4UPIV7W

not attested not anchored not stored refs pending

From Vlasov-Maxwell-Landau system with Coulomb potential to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law

Ning Jiang, Yuanjie Lei

arxiv:2309.01052 v1 · 2023-09-03 · 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{Z4WRVU2ZW2WKAYT56AX4UPIV7W}

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	2026-07-05T06:47:31.538475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2d1ad359b6aca0627df02fca3d15fdaa726d4efdaaab78da9862641da93968

Aliases

arxiv: 2309.01052 · arxiv_version: 2309.01052v1 · doi: 10.48550/arxiv.2309.01052 · pith_short_12: Z4WRVU2ZW2WK · pith_short_16: Z4WRVU2ZW2WKAYT5 · pith_short_8: Z4WRVU2Z

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/Z4WRVU2ZW2WKAYT56AX4UPIV7W \
  | 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: cf2d1ad359b6aca0627df02fca3d15fdaa726d4efdaaab78da9862641da93968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ce878c50ce9fb301a13f38b765c7d449b9669a794e4573329c6ef62156044e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-03T02:03:52Z",
    "title_canon_sha256": "c5060188566ff3fb56378e957b647e4ae7f99b052bdcacae89275eb99720d015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01052",
    "kind": "arxiv",
    "version": 1
  }
}