Pith Number

pith:KPLSJAK2

pith:2021:KPLSJAK2T2OKW72OY23TLSNGIM

not attested not anchored not stored refs pending

The Incompressible Navier-Stokes-Fourier Limit from Boltzmann-Fermi-Dirac Equation

Kai Zhou, Linjie Xiong, Ning Jiang

arxiv:2102.02656 v1 · 2021-02-04 · 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{KPLSJAK2T2OKW72OY23TLSNGIM}

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	2026-07-05T02:12:50.514893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d724815a9e9cab7f4ec6b735c9a6430778f5eb4baaecbc50044313ac464a04

Aliases

arxiv: 2102.02656 · arxiv_version: 2102.02656v1 · doi: 10.48550/arxiv.2102.02656 · pith_short_12: KPLSJAK2T2OK · pith_short_16: KPLSJAK2T2OKW72O · pith_short_8: KPLSJAK2

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/KPLSJAK2T2OKW72OY23TLSNGIM \
  | 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: 53d724815a9e9cab7f4ec6b735c9a6430778f5eb4baaecbc50044313ac464a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0144cc0cc9772f3a1a3d96fadc6c71cf4296731d9985d3ad44a6890afb1626b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-04T14:52:06Z",
    "title_canon_sha256": "f35dda853f5f4f561067bcb751ca6f832227d82d2e7d51508933c9dbaddb5214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02656",
    "kind": "arxiv",
    "version": 1
  }
}