Pith Number

pith:MBYTQQKI

pith:2023:MBYTQQKIJWSQFGTPZU6GFBUYND

not attested not anchored not stored refs pending

The incompressible Navier-Stokes-Fourier-Maxwell system limits of the Vlasov-Maxwell-Boltzmann system for soft potentials: the noncutoff cases and cutoff cases

Ning Jiang, Yuanjie Lei

arxiv:2308.12607 v1 · 2023-08-24 · 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{MBYTQQKIJWSQFGTPZU6GFBUYND}

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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	2026-07-05T06:44:15.152705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60713841484da5029a6fcd3c62869868f3ec2c02323b7572022e12bbabe0ca88

Aliases

arxiv: 2308.12607 · arxiv_version: 2308.12607v1 · doi: 10.48550/arxiv.2308.12607 · pith_short_12: MBYTQQKIJWSQ · pith_short_16: MBYTQQKIJWSQFGTP · pith_short_8: MBYTQQKI

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/MBYTQQKIJWSQFGTPZU6GFBUYND \
  | 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: 60713841484da5029a6fcd3c62869868f3ec2c02323b7572022e12bbabe0ca88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd04b3c233f9ed00a6510ea16586ebd1d7ebe444a4a70290163e1e5fbf28221",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-24T07:19:01Z",
    "title_canon_sha256": "fa22919bc37135c5494b8bc3d531c32339122dff394d466ceaf899fe1fb279f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.12607",
    "kind": "arxiv",
    "version": 1
  }
}