Pith Number

pith:MNARCZ55

pith:2026:MNARCZ555WWIXBGB2JWHKJQWHY

not attested not anchored not stored refs pending

Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system

Hang Xiong, Hongyao Zhang, Yong Wang

arxiv:2605.16382 v1 · 2026-05-11 · 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{MNARCZ555WWIXBGB2JWHKJQWHY}

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	2026-05-20T00:02:19.392998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63411167bdedac8b84c1d26c7526163e1188e86490c126d426e0cbaee261a038

Aliases

arxiv: 2605.16382 · arxiv_version: 2605.16382v1 · doi: 10.48550/arxiv.2605.16382 · pith_short_12: MNARCZ555WWI · pith_short_16: MNARCZ555WWIXBGB · pith_short_8: MNARCZ55

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/MNARCZ555WWIXBGB2JWHKJQWHY \
  | 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: 63411167bdedac8b84c1d26c7526163e1188e86490c126d426e0cbaee261a038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d145739d3080ef6566dde7320add0c184473c8b312ed2a4eca3519218ce59dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-11T08:31:33Z",
    "title_canon_sha256": "d8ecddbafebcf55db51e55e8461fead4825e12c3f4d42a99cf952a983023efda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16382",
    "kind": "arxiv",
    "version": 1
  }
}