Pith Number

pith:QXMQO4MN

pith:2019:QXMQO4MNIV5DVBDKM52D6YCRHN

not attested not anchored not stored refs pending

From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions

Ning Jiang, Yi-Long Luo

arxiv:1905.04739 v1 · 2019-05-12 · 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{QXMQO4MNIV5DVBDKM52D6YCRHN}

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	2026-07-05T04:08:13.787055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d907718d457a3a846a67743f60513b595607adb1f74c97b2222da9f883dbb9

Aliases

arxiv: 1905.04739 · arxiv_version: 1905.04739v1 · doi: 10.48550/arxiv.1905.04739 · pith_short_12: QXMQO4MNIV5D · pith_short_16: QXMQO4MNIV5DVBDK · pith_short_8: QXMQO4MN

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/QXMQO4MNIV5DVBDKM52D6YCRHN \
  | 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: 85d907718d457a3a846a67743f60513b595607adb1f74c97b2222da9f883dbb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c83ce0b2ff258a50eaf454f0dece16a3a1fe26bd5c2943727753713e222d77c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-12T16:22:07Z",
    "title_canon_sha256": "6b5c543306172e7cd5eef3e6bf3e916b4fc67d08aa59c9ddb9d333964f0a6161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04739",
    "kind": "arxiv",
    "version": 1
  }
}