pith. sign in
Pith Number

pith:APQ77KSW

pith:2016:APQ77KSW5DCMLYQXDV75O2Y3YZ
not attested not anchored not stored refs pending

From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics

Diogo Ars\'enio, Laure Saint-Raymond

arxiv:1604.01547 v1 · 2016-04-06 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{APQ77KSW5DCMLYQXDV75O2Y3YZ}

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 2026-05-18T01:17:36.141587Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03e1ffaa56e8c4c5e2171d7fd76b1bc67c706299f83ff0492f1e6013b94fa381

Aliases

arxiv: 1604.01547 · arxiv_version: 1604.01547v1 · doi: 10.48550/arxiv.1604.01547 · pith_short_12: APQ77KSW5DCM · pith_short_16: APQ77KSW5DCMLYQX · pith_short_8: APQ77KSW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/APQ77KSW5DCMLYQXDV75O2Y3YZ \
  | 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: 03e1ffaa56e8c4c5e2171d7fd76b1bc67c706299f83ff0492f1e6013b94fa381
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "10082cec1eed4a40eddf023abcf9ed88147975c774a47f53233cc1b1a4c0a272",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-06T09:16:44Z",
    "title_canon_sha256": "2d95ef19324c6e31b70ebd6a0787a57d0dbd109acf14036dc8bde7b1d0fb82e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01547",
    "kind": "arxiv",
    "version": 1
  }
}